Answer:
Correct choice is D)(4, -5).
Step-by-step explanation:
We have been given a graph of two functions which intersect at some points. Using that graph we need to approximate one of the solutions to the system of equations graphed below. where given choices are:
A)(-3, -3)
B)(0, 5)
C)(3, 0)
D)(4, -5)
From graph we can see that given graphs of red curve and blue curve intersect at two points (-2,0) and (4,-5).
Hence correct choice is D)(4, -5).
CAN SOMEONE PLES HELP ME OUT HERE!
Answer: 1/6
Step-by-step explanation:
1/6+1/6+16 hope this helps!
Emma is making a scale drawing of her farm using the scale 1 cm to 2.5 feet. in the drawing, she drew a well with a diameter of 0.5 cm. with is closest to the actual circumstance of the well?
A. 1 foot
B. 2 feet
C. 4 feet
D. 5 feet
Answer: A. 1 foot
Step-by-step explanation:
Since 1 cm= 2.5 feet, then o.5 cm= half of 2.5 feet.
2.5/2= 1.25 which is closest to 1 foot.
at noon it was -18 °F in Billings MT At the some time it was 32 °F in mesa AZ how much warmer was mesa than billings at noon
50 F
32 F - - 18 = 32 F + 18= 50 F
Ken will flip a Fair coin and then randomly choose one of the three colored cords the possible outcomes are shown below what is the probability that Tails will turn up and that he will choose a red card. head and tails has the possibke outcomes of red, blue, and green
50% is ur answer your welcome
Translate the equation into a verbal sentence (picture) HELP ME ASAP
I believe it’s D or B
Choose the graph that represents the following set. The whole number greater than 3
Step-by-step explanation:
Whole numbers means 0,1,2,3,4,5 ........................................ up to infinity.
We need to find graph of whole number greater than 3
The numbers are 4, 5 , 6 , 7 , 8 , 9 ............................................... up to infinity.
The graph representing this is the second graph.
Second graph is the correct answer.
Answer: graph number 2 is correct
Step-by-step explanation:
i just wanted to verify for others
The large rectangle was reduced to create the small rectangle.What is the missing measure on the small rectangle?
Answer:
x = 4 in
Step-by-step explanation:
scale factor of reduction is
[tex]\frac{6}{18}[/tex] = [tex]\frac{1}{3}[/tex], thus
x = [tex]\frac{1}{3}[/tex] × 12 = 4
Please explain your answer as well. THX!!!!!
Answer:
1. f(x)= [tex]\left \{ {{1/xWHEN x<1 ANDx\neq 0} \atop {\sqrt[3]{x}WHEN x\geq 1}} \right.[/tex]
2. yes this graph represents a polynomial, this line is of the form y=mx+b; there are no turning points as it is a polynomial of degree 1.
Step-by-step explanation:
For problem 1:
as can be seen in the given graph, the graph of 1/x is ended at the value of x=1 and for all the values of x>1.
so the condition x<1 and x[tex]\neq[/tex]0 applies here
then for graph [tex]\sqrt[3]{x}[/tex], the graph starts from (1,1) and there is no extension of it beyond the value of x=1.
so the condition x[tex]\geq[/tex]1 applies here.
For Problem 2:
the given graph is a linear line which is represent by polynomial y=mx+b
and the polynomial y=mx+b is a polynomial of degree 1.
As the given graph is a graph of straight line represented by y=mx+b there are no turning points.
!
2 1/4 - 2/3. A. 1 3/7. B. 1 7/12. C 2 3/7. D 2 11/12
Answer:
B.) [tex]1\frac{7}{12}[/tex]
Step-by-step explanation:
[tex]2\frac{1}{4} -\frac{2}{3}
Then multiply 4 by 2, then add 1.
frac{9}{4} - \frac{2}{3} \\[/tex]
Then find the Least Common Denominator(LCD); simply just multiply 4 by 3 to get 12; then multiply using the opposite number.
[tex]\frac{3}{3} *\frac{9}{4} - \frac{4}{4} * \frac{2}{3}[/tex]
to get: [tex]\frac{27}{12} - \frac{8}{12}[/tex].
now the denominators is the same on both sides, just subtract the numerator.
27 - 8 = 19
Now simply: [tex]\frac{19}{12} = 1\frac{7}{12}[/tex].
Your final answer is 1\frac{7}{12}[/tex].
Answer please the question thank you
Answers
Part a: Opposite
Part b: cos
Part c: Adjacent
Explanation
If you doing sine, cosine, and tangent, just remember SOHCAHTOA.
What is x, y and z? show your work
x - y + 9z = -27
2x - 4y - z = -1
3x + 6y - 3z = 27
Answer: z = -3 , y = 2 , x = 2
The solution to the system of equations is: x - y + 9z = -27 , 2x - 4y - z = -1 , 3x + 6y - 3z = 27 is
x = 2
y = 2
z = -3
Given the system of equations:
1. x - y + 9z = -27
2. 2x - 4y - z = -1
3. 3x + 6y - 3z = 27
We'll use the method of elimination to solve this system.
Step 1: Eliminate y from equations (1) and (2):
Adding equations (1) and (2):
(x - y + 9z) + (2x - 4y - z) = -27 + (-1)
x + 2x - y - 4y + 9z - z = -27 - 1
3x - 5y + 8z = -28
Step 2: Eliminate y from equations (2) and (3):
Multiplying equation (2) by (3) and equation (3) by (2):
6x - 12y - 3z = -3 (from equation 2)
6x + 12y - 6z = 54 (from equation 3, after multiplying by 2)
Adding these two equations:
(6x - 12y - 3z) + (6x + 12y - 6z) = -3 + 54
6x + 6x - 12y + 12y - 3z - 6z = 51
12x - 9z = 51
Now, we have two equations:
1. 3x - 5y + 8z = -28
2. 12x - 9z = 51
From equation (2), let's solve for (x):
12x - 9z = 51
12x = 51 + 9z
x = (51 + 9z) ÷ 12
Now, we'll substitute this expression for (x) into equation (1) to solve for (z):
3x - 5y + 8z = -28
[tex]\[ 3\left(\frac{51 + 9z}{12}\right) - 5y + 8z = -28 \][/tex]
[tex]\[ \frac{153 + 27z}{12} - 5y + 8z = -28 \][/tex]
Next, we'll isolate (z):
153 + 27z - 60y + 96z = -336
249z - 60y = -489
Now, let's solve for (z):
249z = -489 + 60y
z = (-489 + 60y) ÷ 249
Now, we'll substitute the expression for (z) back into equation (2) to solve for (y):
[tex]\[ 12x - 9\left(\frac{-489 + 60y}{249}\right) = 51 \][/tex]
[tex]\[ 12x - \frac{-489 + 60y}{27} = 51 \][/tex]
[tex]\[ 12x = 51 + \frac{-489 + 60y}{27} \][/tex]
[tex]\[ x = \frac{51 + \frac{-489 + 60y}{27}}{12} \][/tex]
[tex]\[ x = \frac{51\times27 + -489 + 60y}{12\times27} \][/tex]
[tex]\[ x = \frac{1377 - 489 + 60y}{324} \][/tex]
[tex]\[ x = \frac{888 + 60y}{324} \][/tex]
[tex]\[ x = \frac{148 + 10y}{54} \][/tex]
Now, we'll substitute the expressions for (x) and (z) into equation (1) to solve for (y):
x - y + 9z = -27
[tex]\[ \frac{148 + 10y}{54} - y + 9\left(\frac{-489 + 60y}{249}\right) = -27 \][/tex]
The least common multiple of (54) and (249) is (54 × 249).
⇒ (148 + 10y) × 249 - 54 × 249 × y + 9 × 54 × (-489 + 60y) = -27 × 54 × 249
⇒ 36752 + 2490y - 133146y - 233640 + 29160y = -1458 × 249
⇒ 2490y - 133146y + 29160y + 36752 - 233640 = -1458 × 249
⇒ -106496y - 197888 = -362682
⇒ -106496y = -164794
⇒ y = (-164794) ÷ (-106496)
y ≈ 1.547
y ≈ 2
Now that we have found (y = 2), we can substitute this value back into the expressions for (x) and (z) to find their values.
For (x):
[tex]\[ x = \frac{148 + 10(2)}{54} = \frac{168}{54} = 2 \][/tex]
For (z):
[tex]\[ z = \frac{-489 + 60(2)}{249} = \frac{-369}{249} = -\frac{3}{1} = -3 \][/tex]
So, the solution to the system of equations is:
x = 2
y = 2
z = -3
I think that I have an answer, but it is really weird. I need help!
36=x³-4x-2x²+8
1. 60 is 75% of what number?
Answer:It is 100
Step-by-step explanation:
0.75x = 60
You can also make it easier by using fractions:
3x/4 = 60
Multiply both sides by 4:
3x = 240
x = 80
What is the mean absolute deviation of the data set?
2, 2, 5, 6, 8, 4, 8, 5
ANSWER
The mean absolute deviation is 1.75
EXPLANATION
The given date set is 2, 2, 5, 6, 8, 4, 8, 5
The mean is
[tex]\bar X = \frac{2 + 2 + 5 + 6 + 8 + 4 + 8 + 6}{8} = 5[/tex]
The mean absolute value deviation is given by:
[tex] =\frac{ \sum |x -\bar X| }{n} [/tex]
[tex] = \frac{ | 2 - 5| + |2 - 5|+ |5- 5|+ |6 - 5|+ |8 - 5| + |4 - 5|+ |8- 5|+ |5 - 5| }{8} [/tex]
[tex]= \frac{ 3 + 3+ 0+ 1+ 3 + 1+3+ 0}{8} [/tex]
[tex] = \frac{14}{8} [/tex]
[tex] = 1.75[/tex]
find the percent of change. round to the nearest percent. original 132 new: 150
Answer:
13.64%
Step-by-step explanation:
The increase, from 132 to 150, is 18.
Comparing 18 to the original 132, we get 18/132 = 0.1364
Rewriting this as a percentage change, we get 0.1364, or 13.64%. The percentage increase from 132 to 150 is 13.64%.
To build the roof for a paper house, a rectangular paper
Answer: B
Step-by-step explanation: Got it right on edge
Answer:B
Step-by-step explanation:I did it
please help I'm confused
Answer:
214
Step-by-step explanation:
set bc = to cd and solve for x
then substitute x into one of the equations and solve --> you should get 73
multiply 73 by 2 and then subtract that from 360
you should get 214
I hope you can help me
Answer:
9. ∠A ≅ ∠R
10. SI ≅ GH
11. MN ≅ RN
12. FE ≅ TU
Step-by-step explanation:
Look at the reason identifier: A means "angle"; S means "side". The order is important. AAS means two adjacent angles with only one of them next to the corresponding sides. SAS means the angle is between two corresponding sides.
9. Sides CS and TS correspond and are congruent. The vertical angles at S are congruent, so the AAS identifier means you're looking for angles A and R to be congruent. (Using angles C and T would invoke the ASA identifier.)
__
10. Sides HI are congruent; the angles at H and I are congruent. The SAS identifier means you're looking for the sides on the other side of those angles to be congruent: sides SI and GH.
__
11. SSS means you're claiming all three sides are congruent to their corresponding sides. The common side is congruent to itself; the marked sides are congruent. So, you need the unmarked sides to be congruent to each other.
__
12. HL means you're claiming the hypotenuse and one leg of the right triangle are congruent. One leg is already marked, so you need the hypotenuses to be congruent.
1. 15% of the toddlers in a preschool class drink water with their lunch. How many toddlers are in the class if 3 drink water with their lunch?
(a) Write a percent equation for the situation.
(b) Solve the problem. Show your work.
plz help tysm <3
Answer:
20
Step-by-step explanation:
Let t represent the number of toddlers in the class. Then 15% of t = 3.
In other terms, 0.15t = 3, and t = 3/0.15 = 20.
There are 20 toddlers in the class.
A percent equation representing the problem is 0.15x = 3. Solving this equation reveals that there are 20 toddlers in the total class.
Explanation:This problem can be solved by expressing the information given in mathematical form.
(a) Let's start by writing a percent equation to describe the situation. Let's assume that the total number of toddlers in the class is 'x'. You are told that 15% of 'x' (the toddlers) drink water with their lunch, which equals to 3 toddlers. In mathematical form, you can express this as: 0.15x = 3(b) Now, let's solve for 'x'. In order to isolate 'x', you would divide both sides of the equation by 0.15. Doing so gives us: x = 3 ÷ 0.15. This results in 'x' being equal to 20. Therefore, there are 20 toddlers in the class.Learn more about Percent Equation here:https://brainly.com/question/31323973
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A triangle ABC is inscribed in a circle, such that AB is a diameter. What are the measures of angles of this triangle if: measure of arc BC = 134°;
Answer:
The measures of angles of this Δ are 23° , 67° , 90°
Step-by-step explanation:
* Lets talk about some facts in the circle
- An inscribed angle is an angle made from points sitting on the
circle's circumference
- A central angle is the angle formed when the vertex is at the center
of the circle
- The measure of an arc of a circle is equal to the measure of the
central angle that intercepts the arc.
- The measure of an inscribed angle is equal to 1/2 the measure of
its intercepted arc
- An angle inscribed across a circle's diameter is always a right angle
- The triangle is inscribed in a circle if their vertices lie on the
circumference of the circle, and their angles will be inscribed
angles in the circle
* Now lets solve the problem
- Δ ABC is inscribed in a circle
∵ its side AB is a diameter of the circle
∵ Its vertex C is on the circle
∴ ∠C is inscribed and across the circle's diameter
∴ ∠C is a right angle
∴ m∠C = 90°
∵ The measure of arc BC = 134°
∵ ∠A is inscribed angle subtended by arc BC
∵ The measure of an inscribed angle is equal to 1/2 the measure
of its intercepted arc
∴ m∠A = 1/2 × 134° = 67°
∵ The sum of the measures of the interior angles of a triangle is 180°
∵ m∠A = 67°
∵ m∠C = 67°
∵ m∠A + m∠B + m∠C = 180°
∴ 67° + m∠B + 90° = 180°
∴ 157° + m∠B = 180° ⇒ subtract 157 from both sides
∴ m∠B = 23°
* The measures of angles of this Δ are 23° , 67° , 90°
Which expression is equivalent to...? Screenshots attached, please help.
For this case we must simplify the following expression:
[tex]\sqrt [3] {64 * a ^ 6 * b ^ 7 * c ^ 9}[/tex]
We rewrite:
[tex]64 = 4 ^ 3\\a ^ 6 = (a ^ 2) ^ 3\\b ^ 6 * b = ((b ^ 2) ^ 3 * b)\\c ^ 9 = (c ^ 3) ^ 3[/tex]
So:
[tex]\sqrt [3] {4 ^ 3 * (a ^ 2) ^ 3 * (b ^ 2) ^ 3 * b * (c ^ 3) ^ 3} =\\\sqrt [3] {4 * a ^ 2 * b ^ 2 * c ^ 3) ^ 3 * b} =[/tex]
By definition of properties of powers and roots we have:
[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]
So:
[tex]4a ^ 2b ^ 2 c ^ 3 \sqrt [3] {b}[/tex]
Answer:
Option B
The fucntion f(x)=2x^2+3x+5 when evaluated, gives a value of 19. What is the functions input value?
Answer:
x1= 14/4 and X2 = -2
Step-by-step explanation:
To find the values of "X" for which when the function is evaluated gives 19 we need to equal the function to 19, as follows:
2x^2+3x+5 = 19
2x^2+3x+5-19=0
2x^2+3x-14=0
Then, solving for "x" we need to use the quadratic formula (Attached), where a, b, and c, are the following:
a: 2 b: 3 c: 14
Using the quadratic formula, we get:
x1= 14/4 and X2 = -2
Which pair of angles must be supplementary
Answer:
D.) 6 and 2
Step-by-step explanation:
Supplementary angles are two angles which sum up to 180°.
Answer:
B. [tex]\angle 2\text{ and }\angle 5[/tex]
Step-by-step explanation:
We have been given an image of intersecting lines. We are asked to find the pair of angles that must be supplementary.
We know that two angles are supplementary when they add up-to 180 degrees.
Upon looking at our given image, we can see that the measure of angle 2 and measure of angle 5 is 90 degrees. So these angles will add up-to 180 degrees, therefore, option B is the correct choice.
Factor the algebraic expression below in terms of a single trigonometric function.
sin²x + sin x-2
ANSWER
[tex]( \sin(x) + 2)( \sin(x) - 1)[/tex]
EXPLANATION
The given trigonometric function is:
[tex] \sin^{2} x + \sin(x) - 2[/tex]
This is a quadratic trinomial in sinx
We split the middle term to obtain:
[tex]\sin^{2} x + 2 \sin(x) - \sin(x) - 2[/tex]
[tex] \sin \:x ( \sin(x) + 2 ) - 1( \sin(x) + 2)[/tex]
The factors are:
[tex]( \sin(x) + 2)( \sin(x) - 1)[/tex]
To the nearest hundredth, what is the value of x?
36.08
41.51
47.81
72.88
Answer:
B
Step-by-step explanation:
Using the law of sines, we can make a proportion.
But first, we'll need to solve for the unknown angle.
We add up the two known angles and subtract that by 180.
90 + 41 = 131
180 - 131 = 49
So the unknown angles is 49.
Then, we can use the law of sines.
Make the equation.
sin(90)/55 = sin(49)/x
Simplify this using a calculator and you get around 41.51 or option B.
The correct option is B. [tex]41.51[/tex] The value of [tex]\( x \)[/tex] to the nearest hundredth
To find the value of [tex]\( x \)[/tex] to the nearest hundredth, we need to use the trigonometric functions for the right triangle given.
We are given:
The hypotenuse [tex](\( 55 \))[/tex]
An angle [tex](\( 41^\circ \))[/tex]
We need to find the adjacent side[tex](\( x \))[/tex]
We can use the cosine function, which is defined as:
[tex]\[\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}\][/tex]
Substituting the given values:
[tex]\[\cos(41^\circ) = \frac{x}{55}\][/tex]
Solving for \( x \)
[tex]\[x = 55 \times \cos(41^\circ)\][/tex]
Using a calculator to find \(\cos(41^\circ)\)
[tex]\[\cos(41^\circ) = 0.7547\][/tex]
Now, multiplying:
[tex]\[x = 55 \times 0.7547 = 41.5085\][/tex]
To the nearest hundredth, \( x \) is:
[tex]\[x = 41.51\][/tex]
The complete Question is
To the nearest hundredth, what is the value of x?
A.36.08
B. 41.51
C. 47.81
D. 72.88
Which number is IRRATIONAL?
A.3/4
B.7.9
C.square root of 2
Answer:
the answer is b
Step-by-step explanation:
A rhombus has diagonals of 5 cm and 12 cm, what is the length of its side?
A. 5 cm
B. 7 cm
C. 10 cm
D. 13 cm
Answer:
D. 13 cm
hope it helps
Answer:
13d
Step-by-step explanation:
help ASAP
Alvin is running at a rate of 3 meters per second. The meters he runs, m, in s seconds is given by the equation m=3s. Identify the dependent and the independent variable. Explain your reasoning.
Answer:
The dependent variable is the rate (3 meters per second) and the independent variable is m (the amount of meters he runs). This is because the rate changes based on the amount of meters he runs.
Answer:
The seconds are independent and the meters are dependent
Order the numbers from least to greatest 1, -3 and 2
the answer would be -3,1,2
Hello!
From Least To Greatest Your Numbers Would Be
-3 1 2
Find the vertical, horizontal, and slant asymptotes, if any, for f(x)=5x^3+29x^2-140x+21/x^2+6x-27
Answer:
Vertical asymptotes: x=-9 and x=3
Slant asymptote: y=5x-1
Step-by-step explanation:
Given
f(x)=(5x^3+29x^2-140x+21)/(x^2+6x-27)
For vertical asymptote, the denominator is put equal to zero,so
x^2+6x-27=0
Factorizing
x^2+9x-3x-27=0
x(x+9)-3(x+9)=0
(x+9)(x-3)=0
So,
x=-9 ;x=3
As the degree of the numerator is greater than the denominator the function will not have horizontal asymptote but it will have a slant asymptote which will be calculated by long division.
After dividing 5x^3+29x^2-140x+21 by x^2+6x-27 we get
Quotient: 5x-1
Remainder: x-6
We only need the quotient for the slant asymptote,
So the slant asymptote is y = 5x -1 ..
Answer:
Vertical asymptotes: x=-9 and x=3
Slant asymptote: y=5x-1
Step-by-step explanation: