Answer: The m∠A is 55° and m∠B is 35°. Hope this helps
Step-by-step explanation:
Step 1: m∠A + m∠B = 90°
Step 2: m∠A + (m∠A − 20°) = 90°
Step 3: m∠A + (m∠A − 20°) = 90°
+20° = +20° Add 20° to both sides.
m∠A + m∠A = 110°
2(m∠A) = 110° Divide both sides by 2.
m∠A = 55°
Step 4: m∠A + m∠B = 90°
55° + m∠B = 90° Substitute 55° for m∠A.
m∠B = 35°
The measures of two complementary angles where one is 20° greater than the other, we set up equations based on the sum of their measures being 90°. Solving these equations, we find that the measure of angle A is 55° and the measure of angle B is 35°.
The measures of two complementary angles, where the measure of angle A is 20° greater than the measure of angle B. To find these measures, we can set up the following equations based on the properties of complementary angles:
Let m B be the measure of angle B.
Therefore, m A will be m B + 20° because it's given that angle A is 20° greater than angle B.
Since angles A and B are complementary, their measures must add up to 90°, hence m A + m B = 90°.
Substitute m A = m B + 20° into the equation m A + m B = 90° to get (m B + 20°) + m B = 90°.
Combine like terms to form 2m B + 20° = 90°.
Solve for m B by subtracting 20° from both sides to get 2m B = 70°.
Divide both sides by 2 to find m B = 35°.
Substitute m B = 35° into m A = m B + 20° to find m A = 35° + 20° = 55°.
Therefore, the measure of angle A is 55° and the measure of angle B is 35°.
Does every line have a slope and a y-intercept? Explain
Answer:
the answer is yes because on a graph, even if it has a x intercept, it will eventually intercept the y intercept b/c the line will continue infinitely.
Step-by-step explanation:
Please mark brainliest and have a great day!
no
no becuase not every line acrosses along the whole graph and the y intercept gose up and down
This year, 12,376 phone calls were made for an annual fund raising event.last year ,9,009 phone calls were made.How many more calls were made this year?
Answer:
3367 calls
Step-by-step explanation:
Number of calls made more than last year = 12,376 - 9009 = 3367
Which of the following is the quotient of the rational expressions shown below? 3x/2x+5 /2x/x+5
The quotient of the rational expressions given is obtained by converting the division to multiplication by the reciprocal leading to \((\frac{3x \times (x+5)}{2x \times (2x+5)})\). The final simplification depends on specific values of x.
Explanation:The question asks to find the quotient of the following rational expressions: \((\frac{3x}{2x+5}) \div (\frac{2x}{x+5})\). To solve this, we first recall that dividing by a fraction is the same as multiplying by its reciprocal. Therefore, the problem becomes \((\frac{3x}{2x+5}) \times (\frac{x+5}{2x})\).
We simplify this further by multiplying the numerators together and the denominators together: \((\frac{3x \times (x+5)}{2x \times (2x+5)})\).
To solve the more difficult problem, as hinted, we might consider factoring or simplifying further. However, the key calculation here reveals that the certain factors in the numerator and denominator might not simplify directly in this expression, leading to a more nuanced understanding of rational expressions. As such, detailed simplification depends on the specific values of x and further factorization may not lead to a simpler form without more context.
The correct answer is: [tex]\text { B. } \frac{3 x+15}{4 x+10}[/tex].
To find the quotient of the given rational expressions, you divide the first rational expression by the second one.
[tex]\frac{\frac{3 x}{2 x+5}}{\frac{2 x}{x+5}}=\frac{3 x}{2 x+5} \cdot \frac{x+5}{2 x}[/tex]
Now, you can simplify this expression:
[tex]=\frac{3 x(x+5)}{2 x(2 x+5)}[/tex]
Cancel out x from both numerator and the denominator.
[tex]=\frac{3 (x+5)}{2 (2 x+5)}[/tex]
[tex]=\frac{3x+15}{4x+10}[/tex]
This value matches with the option B. Thus, B is the correct answer.
Complete Question:
Which of the following is the quotient of the rational expressions shown below?
[tex]\frac{3 x}{2 x+5} \div \frac{2 x}{x+5}[/tex]
[tex]\text { A. } \frac{4 x^2+10 x}{3 x^2+15 x}[/tex]
[tex]\text { B. } \frac{3 x+15}{4 x+10}[/tex]
[tex]\text { C. } \frac{6 x^2}{2 x^2+15 x+25}[/tex]
[tex]\text { D. } \frac{3}{4}[/tex]
f(x) = x + 8 and g(x) = -4x - 3, find (f-g)(x)
Answer:
5x + 11
Step-by-step explanation:
We are subtracting function g(x) from function f(x).
Write f(x) as is: f(x) = x + 8.
Then change all of the signs of g(x): -g(x) = 4x + 3.
Now combine like terms for the sum (f - g)(x) = x + 8 + 4x + 3. We get
(f - g)(x) = 5x + 11
Could you Solve. 21r<7
Yes, I can solve that inequality.
Any value of ' r ' that's less than 1/3 is a solution.
Answer:
r < 1/3
Step-by-step explanation:
21r<7
Divide each side by 21
21r/21<7/21
r < 1/3
Which parent function is represented by the table?
I need some help
Answer: C
Step-by-step explanation: The table represents absolute value
For this case we must find a function of the form:
[tex]y = f (x)[/tex]that complies with the relation of the table.
We note that for the first two values of x, the function yields the same value but with a positive sign.
So:
[tex]f (x) = | x |\\y = | -2 | = 2\\y = | -1 | = 1\\y = | 0 | = 0\\y = | 1 | = 1\\y = | 2 | = 2[/tex]
Answer:
Option C
The volume of a box(V) varies directly with its length(l). If one of the boxes has a volume of 288 cubic inches and a length of 12 inches, what is the constant of proportionality for the group of boxes?
Answer:
24
Step-by-step explanation:
Varies directly means that something constant times l equals V or V=kl where k is that constant.
Plug in point given 288=k(12) and solve the constant of proportionality by dividing both sides by 12.
k=288/12=24
Solve by using the given theorems of logarithms. log 5 + log 2 =
The expression log 5 + log 2 can be combined using the property that the logarithm of a product is equal to the sum of the logarithms, which simplifies to log 10. Since log 10 is equal to 1, the solution to the expression is 1.
To solve the expression log 5 + log 2 using the logarithmic theorems, we can apply one of the fundamental properties of logarithms. Specifically, the logarithm of a product of two numbers is equal to the sum of the logarithms of those two numbers (log xy = log x + log y). Applying this property to our expression, we can combine the two logarithms as follows:
log 5 + log 2 = log (5 x 2)
Now, we can easily calculate the combined term:
log (5 x 2) = log 10
Since the base of the logarithm is not specified, we can assume it is 10 (common logarithm). Therefore, we can simplify further:
log 10 = 1
Thus, the solution to the given expression is 1.
The diagram shows corresponding lengths in two similar figures. Find the area of the smaller figure. A. 14.4 yd2 B. 24 yd2 C. 26.4 yd2 D. 28
Answer:
B. 24 yd^2
Step-by-step explanation:
Let A denote the area of the smaller figure:
We can determine the ratio of both lengths and areas as:
3:5 :: A:40
As the areas of figures vary directly with their lengths and widths so the proportion will be direct proportion.
Converting into fractions will give us:
3/5 = A/40
Now we have to find the value of A for the area of smaller figure.
Cross multiplication will give us:
3*40 = 5A
=> 120 = 5A
=> 120/5 = 5A/5
So,
A = 24 yd^2
So, Option B is the correct answer ..
Answer:
A. 14.4 yd2
Step-by-step explanation:
Cindi bought a sheet pizza for a party. Some of the pizza has pepperoni, some has onions, and the rest of it has both. Two-fifths of the pizza has just pepperoni and one-third of the pizza has just onions. What fraction of the pizza has both pepperoni and onions? PLEASE ANSWER ASAP
Answer:
[tex]\frac{4}{15}[/tex] of the pizza has both pepperoni and onions.
Step-by-step explanation:
As we know, [tex]\frac{2}{5}[/tex] of the pizza has pepperoni and [tex]\frac{1}{3}[/tex] of it is onions.
1. Find the total of the two fractions above.[tex]\frac{2}{5}[/tex] + [tex]\frac{1}{3}[/tex]
= [tex]\frac{6}{15}[/tex] + [tex]\frac{5}{15}[/tex] (because you have to find like denominators when you add)
= [tex]\frac{11}{15}[/tex]
[tex]\frac{11}{15}[/tex] of the pizza have one topping.
2. Subtract [tex]\frac{11}{15}[/tex] from the whole.The whole is 1, or [tex]\frac{15}{15}[/tex]. So,
[tex]\frac{15}{15}[/tex] - [tex]\frac{11}{15}[/tex] = [tex]\frac{4}{15}[/tex].
[tex]\frac{4}{15}[/tex] of the pizza have both pepperoni and onions.
Final answer:
Two-fifths (2/5) of the pizza has just pepperoni and one-third (1/3) has just onions. Since the sum of these portions exceeds one, we find the overlap by subtracting one from the sum (11/15 - 15/15), resulting in 4/15 of the pizza having both pepperoni and onions.
Explanation:
Cindi bought a sheet pizza for a party with some sections having different toppings. To find out what fraction of the pizza has both pepperoni and onions, we'll first consider the fractions of the pizza with individual toppings. Two-fifths (2/5) of the pizza has just pepperoni and one-third (1/3) has just onions. The sum of these fractions exceeds one, indicating an overlap which must be the part with both toppings.
To calculate the overlap, we add the fractions for just pepperoni and just onions:
2/5 + 1/3 = 6/15 + 5/15 = 11/15.
Since the total cannot exceed one whole pizza, the overlap - the portion with both toppings - is the amount that the sum of individual parts exceeds one. Therefore, we subtract one from the combined fraction:
11/15 - 1 (which equals 15/15) equals -4/15. This negative value is indicative of the overlap. Therefore, 4/15 of the pizza has both pepperoni and onions.
Jim makes $10.35 per hour. Write an equation that Jim can use to calculate his pay.
Answer:
Step-by-step explanation:
Pay = 10.35 * h where h is the number of hours that he works. The other 2 questions should have been included with this one. I'll answer the second one here.
Distance = 65 * h
distance = 65 * h miles.
Determine the number of solutions for the equation shown below.
X = X-9
A. O
B. Infinitely many
c. 1
D. 2
Answer:
A. 0
Step-by-step explanation:
Nothing can be equal to itself if you subtract 9 from it.
Final answer:
The equation X = X - 9 yields a contradiction upon simplification (0 = -9), indicating that there are no solutions.
Explanation:
To determine the number of solutions for the given equation, we start by inspecting it closely:
X = X - 9
If we attempt to solve for X, we will subtract X from both sides of the equation:
0 = -9
This is a contradiction since 0 does not equal -9. Therefore, the given equation has no solution. Other examples of equations can have one solution, such as X = 1, or have two solutions, such as quadratic equations like x = 4.133 or 9.435. But in this case, the equation does not balance and therefore has no solutions.
The correct answer is:
A. 0
When 3 is subtracted from one third of a number less than 6. Which inequality and solution represents this sitution?
Answer:
1/3(n) - 3 < 6; n < 27
Step-by-step explanation:
" 3 subtracted from one third of a number"
= 1/3(n) - 3
given that this is less than 6:
1/3(n) - 3 < 6
1/3(n) < 6 +3
1/3(n) < 9
n < 27
Inequality and solution is 1/3(n) - 3 < 6 and n < 27.
The correct option is (A).
what is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Given statement is : " 3 subtracted from one third of a number less than 6"
or, 1/3(n) - 3 < 6
or, 1/3(n) < 6 +3
or, 1/3(n) < 9
or, n < 27
Hence, Inequality and solution is 1/3(n) - 3 < 6 and n < 27.
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The arena’s car park is shown below.
Area of a circle = πr2
π = 3.14
What is the area of the car park, not including the arena itself?
The area of the parking lot without considering the arena is determined to be 6518.75 square units.
To determine the parking lot area excluding the arena, the process involves multiple steps:
Parking Lot Area Calculation:
Utilize the formula A = B x H, where B is the base (100) and H is the height (75).
Compute A = 100 x 75, resulting in an initial parking lot area of 7500 square units.
Arena Area Calculation:
Employ the formula A = π r², where r is the radius (25) of the arena.
Calculate A = π x 25², yielding an arena area of 19625 square units.
Adjustment for Arena Area:
Observe the image indicating that the car park bisects the arena, cutting its area in half.
Subtract half of the arena's area from the parking lot area to obtain the adjusted area within the car park.
The adjustment equation is A = area - 0.5 x arena, where area is the parking lot area (7500) and arena is half of the arena's area (19625 / 2 = 981.25).
Final Result:
Perform the subtraction: A = 7500 - 981.25, yielding a final area of 6518.75 square units.
Therefore, the area of the parking lot without considering the arena is determined to be 6518.75 square units.
15 points?Im just being lazy Lol
Answer:
38
Step-by-step explanation:
The 38-deg angle and <6 are vertical angles, so they are congruent.
m<6 = 38 deg
Answer:
38 degrees. Congruent inside angles. <3
Step-by-step explanation:
The distance between the points (3, 3) and (7, 3) is 4 √13 6
Answer:
4 units
Step-by-step explanation:
We have to calculate the distance between two points first to check the correct answer.
so,
The formula for distance is:
[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\Here\\(x_{1},y_{1})=(3,3)\\(x_{2},y_{2})=(7,3)\\Putting\ Values\\d=\sqrt{(7-3)^{2}+(3-3)^{2}}\\d=\sqrt{(4)^{2}+(0)^{2}}\\d=\sqrt{16+0} \\d=\sqrt{16} \\Taking\ Square\ Root\ will\ give\ us:\\d=4 units\\So\ the\ distance\ between\ two\ points\ is\ 4\ units ..[/tex]
1. Which of the following is equal to
40 + 55?
A. 40 X 55
B. 40 - 55
C. 40 + 40
D. 55 + 40
Answer:
D
Step-by-step explanation:
These I's are being used as sticks
lets say i have 40 sticks then i add 55 more sticks to them
IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII + IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII If i were to reverse the sequence and use the 55 sticks and add 44 sticks to them it would be the same as me having 44 sticks and adding 55 more.
By commutative property, the following which is equal to 40 + 55 is Option(D) 55 + 40.
What is commutative property ?The commutative property is a math rule that says that the order in which we find the sum of the numbers does not change the sum up value of the numbers.
By the statement,
A + B = B + A , where A and B are any numbers
How to apply the property in the question ?The original expression given is 40 + 55 .
Therefore by commutative property, the equivalent expression is -
40 + 55 = 55 + 40
Thus, by commutative property, the following which is equal to 40 + 55 is Option(D) 55 + 40.
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Which function results after applying the sequence of transformations to f(x) = x5?
stretch vertically by 3
reflect across the x-axis
shift right 1 unit
shift up 2 units
A. f(x) = -(3x - 1)5 - 2
B. f(x) = -3(x - 1)5 + 2
C. f(x) = 3(x5 - 1)5 + 2
D. f(x) = -3(x + 1)5 + 2
Answer: B
Step-by-step explanation:
The function results [tex]f(x) = -3(x - 1)5 + 2[/tex] after applying a sequence of transformations [tex]f(x) = x^5[/tex].
We have to determine, which function results after applying the sequence of transformations [tex]f(x) = x^5[/tex].
According to the question,
To find the sequence of the transformation of the given function following all the steps given below.
Function; [tex]f(x) = x^5[/tex]
Step1; Stretch vertically by 3 in the negative x-axis.
[tex]f(x) = -3[(x )^5][/tex]
Step2; Reflect the function across the x-axis,[tex]f(x) = -3(x)^5[/tex]
Step3; Shifting the function 1 unit right,[tex]f(x) = -3(x-1)^5[/tex]
Step4; Shifting the function upward 2 units,[tex]f(x) = -3(x-1)^5 +2[/tex]
Hence, The function results [tex]f(x) = -3(x - 1)5 + 2[/tex] after applying a sequence of transformations [tex]f(x) = x^5[/tex].
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How is the graph of y=2x^2+3 different from the graph of y=x^2-9x+20 shown below?
Answer:
○ The graph of y = -2x² + 3 opens downward and is shifted up.
Step-by-step explanation:
According to the Quadratic Equation, y = Ax² + Bx + C, C acts like a y-intercept, and in this case, since both graphs shift up [because both are positive values], we do not pay attention to those. Now, we come over to our A, which makes a BIG difference because both graphs open in opposite directions [one negative, one positive]. With this being stated, we have our answer.
If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.
** Extended information on Parabolas
Opens down → -A
Opens up → A
Find the equation for a parabola that has a vertex at (0, 4) and passes through the point (–1, 6).
Answer:
[tex]\large\boxed{y=2x^2+4}[/tex]
Step-by-step explanation:
The vertex form of a parabola:
[tex]y=a(x-h)^2+k[/tex]
(h, k) - vertex
We have the vertex at (0, 4) → h = 0 and k = 4.
Substitute:
[tex]y=a(x-0)^2+4=ax^2+4[/tex]
The point (-1, 6) is on the parabola. Put the coordinates of the point to the equation:
[tex]6=a(-1)^2+4[/tex] subtract 4 from both sides
[tex]2=a\to a=2[/tex]
Finally:
[tex]y=2x^2+4[/tex]
The letters that form the word ALGEBRA are
placed in a bowl. What is the probability, as a
percent, of choosing a letter other than A
and then choosing an A?
Answer:
Nearly 23.8%
Step-by-step explanation:
The word ALGEBRA consists of letters A, L, G, E, B, R and A (2 letters A and 5 letters other than A).
The probability that the first letter chosen will be other than A is
[tex]\dfrac{5}{7}[/tex]
Then 2 letters A and 4 letters other than A left (6 letters in total). The probabilty that the second letter chosen is A is
[tex]\dfrac{2}{6}=\dfrac{1}{3}[/tex]
Hence, the probability of choosing a letter other than A and then choosing an A is
[tex]\dfrac{5}{7}\cdot \dfrac{1}{3}=\dfrac{5}{21}\approx 23.8\%[/tex]
The probability of first drawing a letter other than 'A' and then drawing an 'A' from the word ALGEBRA is approximately 23.81%. This is determined by calculating the individual probabilities and then multiplying them together.
Explanation:The word ALGEBRA has 7 letters. The probability of choosing a letter other than 'A' means we are considering 5 valid letters out of the 7. Therefore, the probability is 5/7. Then, looking for an 'A' within the remaining 6 letters (after one letter is already taken), we see there are 2 'A' letters left, so the probability is 2/6 or simplified as 1/3.
Therefore, the combined probability of both these events happening is the product of their individual probabilities. We multiply the fractions: 5/7 * 1/3 = 5/21 = 0.238095. Translating that fraction into a percentage, we multiply by 100% to get approximately 23.81%.
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the average height range if a golden retriever is 20-24 inches. Write the average height range as an absolute value inequality
Answer:
|x-22| < 2
The < has an underline below it
The absolute value inequality that represents the average height range of a golden retriever (20-24 inches) is |h - 22| <= 2, where h represents any height within the range. This means that the difference between any height in the range and the midpoint (22 inches) is at most 2 inches.
Explanation:To write the average height range of a golden retriever as an absolute value inequality, we need to first find the midpoint of the range and then use that to express the distance from any height in the range to that midpoint. In this case, the average height range for a golden retriever is 20-24 inches. The midpoint of the range is (20 + 24) / 2 = 22 inches. So, any height h in the range satisfies |h - 22| <= 2. This is because the maximum difference between any height in the range and the midpoint is 2 inches (24 - 22 or 22 - 20).
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simplify each of the following
a) 3a×9ac
b) 7de×3de²
Answer:
3a x 9ac
=(3a×9a)(c)
27a2 ×c
7de×3de2
=(7×3)(de ×de2)
= 21de3
In 2012 the population at a middle school was 695 students. In 2016, the population had grown to 825 students. Assuming a constant rate of change, predict the population of the school in 2018.
890 students
725 students
850 students
760 students
Answer:
These kind of problem can be modeled by using the following equation
y = Po*e^(k*(t-to))
Where
Po = initial population
to = year of the initial population
y = Number of students at current year
k = constant rate of change
t = time in years
In 2012
695 = Po*e^(k*(2012 - 2012))
Po = 695
In 2016
825 = 695.e^(k*(2016-2012))
825/695 = e^(k*(4))
ln(825/695) = 4*k
k = ln(825/695) / 4
k = ln(825/695) / 4
k = 0.04287
in 2018
y = 695*e^(0.04287*(2018-2012))
y = 695*e^(0.04287*(6))
y = 695*e^(0.257)
y = 695*1.293
y = 898.85
approximately
899 students
Final answer:
The predicted school population in 2018, based on a constant rate of change, is 890 students. This is calculated by determining the annual rate of increase between 2012 and 2016 and applying it to the 2016 population.
Explanation:
To predict the population of the school in 2018, we need to calculate the constant rate of change between 2012 and 2016, and then apply that rate to extend the prediction to 2018. From 2012 to 2016, the school's population grew from 695 to 825 students. This is an increase of 825 - 695 = 130 students over 4 years.
The annual rate of change is thus 130 students
over 4 years = 32.5 students per year. To predict the population for 2018, we add twice the annual rate of change to the 2016 population (since 2018 is two years after 2016): 825 + (2 * 32.5) = 825 + 65 = 890 students.
Therefore, we can predict that the school population in 2018 will be 890 students.
Person 1 can do a certain job in 21 minutes, and person 2 can do the same job in 28 minuets. When completing the job together, which expression would be used to represent the amount of work done by person 1. 21,1/21,x/21,21x
Answer:
1/21.
Step-by-step explanation:
To solve the problem 'How long would they take to do the job working together?' you would work in fractions of the job done / minute:
1/21 + 1/28 = 1/x.
So for person 1 the expression is 1/21.
Consider the following geometric series. Rewrite the series using sigma notation. 4-10+25-62.5+156.25-390.625
Answer:
See below.
Step-by-step explanation:
The common ratio = -10/4 = -5/2 and the first term is 4.
The sigma notation is:
n=6
∑ 4(-5/2)^n-1. (answer).
n=1
Answer:
[tex]\sum_{n=1}^{n=6} 4(\frac{-5}{2} )^{n-1}[/tex]
Step-by-step explanation:
We are given the geometric series [tex]4 + -10+ 25+ -62.5+ 156.25+ -390.625[/tex]
General geometric series is of the form
[tex]a, ar, ar^2, ar^3, ar^4,\text{ and so on}[/tex], where a is the first term and r is the common ration.
The common ratio for given geometric series is [tex]\frac{\text{Second Term}}{\text{First Term}}[/tex] = [tex]\frac{-10}{4} = \frac{-5}{2}[/tex]
[tex]a = 4\\r = \frac{-5}{2}[/tex]
To write the series in summation form we use:
[tex]\sum_{k=0}^{k=n} a(r)^{k}[/tex]
Thus, the given geometric series is
[tex]\sum_{n=1}^{n=6} 4(\frac{-5}{2} )^{n-1}[/tex]
Please Answer I’m desperate
Answer:
B
Step-by-step explanation:
Given
f = c / λ ( multiply both sides by λ )
fλ = c
You simply have to multiply both sides by lambda:
[tex]f = \dfrac{C}{\lambda} \iff f\cdot \lambda = \dfrac{C}{\lambda}\cdot \lambda \iff C = f\lambda[/tex]
ZE and ZF are vertical angles with mZE= 9x + 12 and mZF= 3x + 24.
What is the value of x?
Answer:
x=2
Step-by-step explanation:
Vertical angles are equal
m ZE = m ZF
9x+12 = 3x+24
Subtract 3x from each side
9x -3x +12 = 3x-3x+24
6x+12 = 24
Subtract 12 from each side
6x+12 -12 = 24-12
6x = 12
Divide each side by 6
6x/6 =12/6
x = 2
The table represents a function. Which value is an output of the function? (A) –6 (b)–2(c) 4(d) 7
Answer:
Option B
Step-by-step explanation:
. If a function is given in the form of f(x) = ax² + bx + c, then value of x is "input" and the value ... Now from the given table output values of the function are 8, 3, -5, -2 and 12. ... Therefore Option B
Solve the equation for x.
5x - ( 4x - 1) = 2 help please
Answer:
x = 1
Step-by-step explanation:
Given
5x - (4x - 1) = 2 ← distribute the parenthesis by - 1
5x - 4x + 1 = 2
x + 1 = 2 ( subtract 1 from both sides )
x = 1