Answers
Answer:
f(x) = 10² + 3 = 100 + 3 = 103
Final answer:
Without a specific definition of ƒ(x), we can't provide a precise evaluation at x = 10. However, if ƒ(x) is a constant function such as ƒ(x) = 20 for the range of 0 to 20, then ƒ(10) would be 20.
Explanation:
To evaluate the function ƒ(x) when x = 10, we need to know the specific form of the function. However, based on the information provided, which seems fragmented and from different contexts, I can assume that ƒ(x) is defined for certain ranges. There’s reference to a horizontal line graph representation of a function, which suggests that ƒ(x) could potentially be a constant function within a certain range. If the function ƒ(x) is indeed a constant function, such as ƒ(x) = 20 for 0 ≤ x ≤ 20, then evaluating it at x = 10 would simply give the constant value, which is 20.
From the other contexts provided, it's implied that there could be scenarios where ƒ(x) represents different mathematical or physics concepts, such as force, probability distribution, or equations of motion. Without a direct specification of ƒ(x) for the x value in question, the remaining information cannot be used to definitively evaluate ƒ(x) at x = 10.
Related Questions
Fiona solved the equation shown 1/2-1/3(6x-3)=-13/2 what is the missing step of her solution
Answers
Answer:
Simplify by combining like terms, she combined 1/2 and 1 which equals 3/2. Your answer is A.
Step-by-step explanation:
The missing step in Fiona's solution to the equation 1/2 - 1/3(6x - 3) = -13/2 was the distribution of the 1/3 to each term in the parentheses and the multiplication of the equation by 2.
Explanation:To find the missing step of Fiona's solution, we first need to simplify the equation. The given equation is 1/2 - 1/3(6x - 3) = -13/2. The missing step may be the distribution of the 1/3 onto the (6x - 3). This leads to 1/2 - (2x - 1) = -13/2.
Following this, we need to remove the fraction on the left side of the equation by multiplying the entire equation by 2. This gives 1 - (4x - 2) = -13. Finally, simplifying this further gives us -4x = -16, and solving for x we get x = 4.
Therefore, Fiona's missing step was the distribution of the 1/3 to each term in the parentheses and the multiplication of the equation by 2 to get rid of fractions.
Learn more about Algebra here:https://brainly.com/question/24875240
#SPJ2
A car salesman earns a 20% commission on every car that he sells. Approximately what commission would he make if he sold a car for $9,895?
Answers
First you are going to multiply the number by the percent. 9,895 x 20= 197,900.
Now divide the answer by 100. 197,900 / 100= 1,979.
This means the car salesman should make 1,979 from the car sale.
Remember, multiply the number by the percent, then divide that answer by 100.
I hope this helps! :)
Please help!!!! sinx= -1/2, and cosy= sqrt 3/2. if angle x is the fourth quadrant and angle y is in the first quadrant the value of cos(x-y) is??
Answers
Answer:
[tex]\cos (x-y)=\dfrac{1}{2}=0.5[/tex]
Step-by-step explanation:
Use formula:
[tex]\cos (x-y)=\cos x\cos y+\sin x\sin y[/tex]
Since
[tex]\sin x=-\dfrac{1}{2}[/tex]
and angle x is in the fourth quadrant, then cos x is greater than 0 and is equal to
[tex]\cos x=\sqrt{1-\sin ^2x}=\sqrt{1-\left(-\dfrac{1}{2}\right)^2}=\sqrt{1-\dfrac{1}{4}}=\sqrt{\dfrac{3}{4}}=\dfrac{\sqrt{3}}{2}[/tex]
Since
[tex]\cos y=\dfrac{\sqrt{3}}{2}[/tex]
and angle y is in the first quadrant, then sin y is greater than 0 and is equal to
[tex]\sin y=\sqrt{1-\cos ^2y}=\sqrt{1-\left(\dfrac{\sqrt{3}}{2}\right)^2}=\sqrt{1-\dfrac{3}{4}}=\sqrt{\dfrac{1}{4}}=\dfrac{1}{2}[/tex]
Hence,
[tex]\cos (x-y)=\cos x\cos y+\sin x\sin y=\dfrac{\sqrt{3}}{2}\cdot \dfrac{\sqrt{3}}{2}+\left(-\dfrac{1}{2}\right)\cdot \dfrac{1}{2}=\dfrac{3}{4}-\dfrac{1}{4}=\dfrac{1}{2}[/tex]
Find the four-digit number which has the remainder of 112 when divided by 131, and the remainder of 98 when divided by 132.
Answers
[tex]n[/tex] - 4-digit number
[tex]q[/tex] - quotient
[tex]131q+112=n\\132q+98=n\\\\131q+112=132q+98\\q=14\\\\131\cdot14+112=n\\\boxed{n=1946}[/tex]
The four-digit number which has the remainder of 112 when divided by 131 is 1946.
What is the division?The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
Given that, number which has the remainder of 112 when divided by 131.
Let n be the number and q be the quotient.
We know that, Dividend = Divisor × Quotient + Remainder
Now, n=131×q+112 ------(i)
The remainder of 98 when divided by 132.
That is, n=132×q+98 ------(ii)
From equation (i) and (ii), we get
131×q+112=132×q+98
131q+112=132q+98
132q-131q=112-98
q=14
Substitute q=14 in equation (i), we get
n=131×14+112
n=1946
Therefore, the four digit number is 1946.
To learn more about the division visit:
https://brainly.com/question/1575906.
#SPJ3
Last year, a total of 26 inches of rain fell in Center City. This year, experts predict rainfall in Center City will increase by 15% over last year's total.
How many more inches of rain are predicted to fall in Center City this year than last year?
Answers
Multiply last years rainfall by the percent of increase.
26 inches x 0.15 = 3.9 inches more.
Round the answer as needed.
First, we need to find 15% of last years total rainfall to estimate next years. To do this, multiply last years rain by the decimal form of 15%.
26*.15=3.9
There will be 3.9 more inches of rain predicted to fall next year.
Hope this helps!
Which equation describes this line?
Answers
Answer:
B. [tex]y-9=2(x-1)[/tex]
Step-by-step explanation:
We have been given graph of a line on coordinate plane. We are asked to find the equation of our given line.
First of all, we will find slope of our line using points [tex](-2,3)\text{ and }(1,9)[/tex] in slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{9-3}{1-(-2)}[/tex]
[tex]m=\frac{6}{1+2}[/tex]
[tex]m=\frac{6}{3}[/tex]
[tex]m=2[/tex]
We can see that our given equations are in point-slope form of equation: [tex](y-y_1)=m(x-x_1)[/tex], where,
m = Slope,
[tex](x_1,y_1)[/tex] = Coordinates of point on line.
We can get two equations of our line in point-slope form as:
[tex](y-3)=2(x--2)[/tex]
[tex](y-3)=2(x+2)[/tex] or
[tex](y-9)=2(x-1)[/tex]
Upon looking at our given choices, we can see that option B is the correct choice.
If set D is not the empty set but is a subset of set E, then which of the following is true? D ∩ E = D D ∩ E = E D ∩ E = ∅
Answers
Answer:
D intersect E=D (the first one you have)
Step-by-step explanation:
D is a subset of E
That means all the elements in D are also in E
So the intersection of D and E is D.
The first thing you wrote is correct, that is, D intersect E=D is right
Answer:
[tex]D\cap E[/tex]=D
Step-by-step explanation:
We are given that D is not empty set but D is a subset of set E.
We have to find the true statement.
[tex]D\neq \phi[/tex]
D is a subset of set E
Therefore,[tex]D\subset E\neq \phi[/tex]
Intersection: It is the set of common elements of two sets.
Therefore,[tex]D\cap E[/tex]=D
Because E contains all elements of D .
Hence, Option A is true.
Which statements about this system of equations are true? Check all that apply.
-X+6y = 16
8x-6y=-2
The x-variable will be eliminated when adding the system of equations.
The y-variable will be eliminated when adding the system of equations.
The sum of the system of equations is -8X= 14.
Dx=2
y = 3
There is only one solution to the system of equations.
Answers
Answer:
b d e f
Step-by-step explanation:
match each function with the corresponding function formula when h(x)=5-3x and g(x)=-3+5
Answers
Answer:
k(x) = (3g + 5h)(x) ⇒ (1)
k(x) = (5h - 3g)(x) ⇒ (3)
k(x) = (h - g)(x) ⇒ (2)
k(x) = (g + h)(x) ⇒ (4)
k(x) = (5g + 3h)(x) ⇒ (5)
k(x) = (3h - 5g)(x) ⇒ (6)
Step-by-step explanation:
* To solve this problem we will substitute h(x) and g(x) in k(x) in the
right column to find the corresponding function formula in the
left column
∵ h(x) = 5 - 3x
∵ g(x) = -3^x + 5
- Lets start with the right column
# k(x) = (3g + 5h)(x)
∵ g(x) = -3^x + 5
∵ 3g(x) = 3[-3^x + 5] = [3 × -3^x + 3 × 5]
- Lets simplify 3 × -3^x
take the negative out -(3 × 3^x), and use the rule a^n × a^m = a^(n+m)
∴ -3(3 × 3^x) = -(3^x+1)
∴ 3g(x) = -3^x+1 + 15
∵ h(x) = 5 - 3x
∵ 5h(x) = 5[5 - 3x] = [5 × 5 - 5 × 3x] = 25 - 15x
- Now substitute 3g(x) and 5h(x) in k(x)
∵ k(x) = (3g + 5h)(x)
∴ k(x) = -3^x+1 + 15 + 25 - 15x ⇒ simplify
∴ k(x) = 40 - 3^x+1 - 15x
∴ k(x) = 40 - 3^x+1 - 15x ⇒ k(x) = (3g + 5h)(x)
* k(x) = (3g + 5h)(x) ⇒ (1)
# k(x) = (5h - 3g)(x)
∵ 5h(x) = 25 - 15x
∵ 3g(x) = -3^x+1 + 15
∵ k(x) = (5h - 3g)(x)
∴ k(x) = 25 - 15x - (-3^x+1 + 15) = 25 -15x + 3^x+1 - 15 ⇒ simplify
∴ k(x) = 10 + 3^x+1 - 15x
∴ k(x) = 10 + 3^x+1 - 15x ⇒ k(x) = (5h - 3g)(x)
* k(x) = (5h - 3g)(x) ⇒ (3)
# k(x) = (h - g)(x)
∵ h(x) = 5 - 3x
∵ g(x) = -3^x + 5
∵ k(x) = (h - g)(x)
∴ k(x) = 5 - 3x - (-3^x + 5) = 5 - 3x + 3^x - 5 ⇒ simplify
∴ k(x) = 3^x - 3x
∴ k(x)= 3^x - 3x ⇒ k(x) = (h - g)(x)
* k(x) = (h - g)(x) ⇒ (2)
# k(x) = (g + h)(x)
∵ h(x) = 5 - 3x
∵ g(x) = -3^x + 5
∵ k(x) = (g + h)(x)
∴ k(x) = -3^x + 5 + 5 - 3x ⇒ simplify
∴ k(x) = 10 - 3^x - 3x
∴ k(x)= 10 - 3^x - 3x ⇒ k(x) = (g + h)(x)
* k(x) = (g + h)(x) ⇒ (4)
# k(x) = (5g + 3h)(x)
∵ g(x) = -3^x + 5
∵ 5g(x) = 5[-3^x + 5] = [5 × -3^x + 5 × 5] = 5(-3^x) + 25
∴ 5g(x) = -5(3^x) + 25
∵ h(x) = 5 - 3x
∵ 3h(x) = 3[5 - 3x] = [3 × 5 - 3 × 3x] = 15 - 9x
- Now substitute 5g(x) and 3h(x) in k(x)
∵ k(x) = (5g + 3h)(x)
∴ k(x) = -5(3^x) + 25 + 15 - 9x ⇒ simplify
∴ k(x) = 40 - 5(3^x) - 9x
∴ k(x) = 40 - 5(3^x) - 9x ⇒ k(x) = (5g + 3h)(x)
* k(x) = (5g + 3h)(x) ⇒ (5)
# k(x) = (3h - 5g)(x)
∵ 3h(x) = 15 - 9x
∵ 5g(x) = -5(3^x) + 25
∵ k(x) = (3h - 5g)(x)
∴ k(x) = 15 - 9x - [-5(3^x) + 25] = 15 - 9x + 5(3^x) - 25 ⇒ simplify
∴ k(x) = 5(3^x) - 9x - 10
∴ k(x) = 5(3^x) - 9x - 10 ⇒ k(x) = (3h - 5g)(x)
* k(x) = (3h - 5g)(x) ⇒ (6)
Order the terms p^2, p^4, p^3 and p in descending powers of p
Answers
Answer:
p^4 p^3 P^2
Step-by-step explanation:
Look at the numbers and put them in order from largest to smallest number.
Answer:Answer:
p^4 p^3 P^2
Step-by-step explanation:
Look at the numbers and put them in order from largest to smallest number.
solve the equations. log(2x-3)=log(3-x)-2
[tex] log(2x - 3) = log(3 - x) - 2 \\[/tex]
Answers
Answer:
1.59
Step-by-step explanation:
log (2x-3)= log (3-x) -2
log (2x-3)/(3-x) =-2
If we remove log,
2x-3/(3-x) = e^-2
2x-3= 3e^-2 -xe^-2
2x+ xe^-2 = 3e^-2+3
x(2+e^-2) = 3( e^-2+1)
If you use calculator you will get answer nearly equal to 1.59.
-6(2+a)=-48 what is the value for a
Answers
Answer:
[tex]\boxed{A=6}\checkmark[/tex]
The answer should have positive sign.
Step-by-step explanation:
First you do is divide by -6 from both sides of an equation.
[tex]\frac{-6(2+a)}{-6}=\frac{-48}{-6}[/tex]
Then, simplify and solve the problem.
[tex]-48/-6=8[/tex]
[tex]2+a=8[/tex]
Next, you switch sides.
[tex]a+2=8[/tex]
You subtract by 2 from both sides of an equation./
[tex]a+2-2=8-2[/tex]
Finally, solve/simplify.
[tex]8-2=6[/tex]
A=6 is the correct answer.
Hope this helps you!
Have a nice day! :)
Joan had a garden 10.1 m long and 4.2 m wide. She decides to fence it in to keep out the deer. The dimensions of the fence are 11.2 m long and 5.0 m wide. What is the area between the fence and the garden?
Answers
Answer:
14.08 m
Step-by-step explanation:
Start by finding the area of the fence and the area of the garden. Garden- 10.1*4.2=42.42 Fence-11.3*5=56.5
Now subtract the two values. 56.5-42.42=14.08
What is the equation of the line that is perpendicular to the given line and passes through the point (2,6)?
Answers
Answer:
x=2
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Find the missing variable for a parallelogram:
A = LaTeX: 32in^2 32 i n 2
h =
b = 6.3 in
(1in=2.54cm)
Answers
Answer:
Height of parallelogram = 5.07 inches
Step-by-step explanation:
We are given Area of Parallelogram = 32 in^2
Height of Parallelogram = ?
Base of Parallelogram = 6.3 in
The formula to find the Area of Parallelogram is:
Area of Parallelogram = Base * Height
32 = 6.3 * Height
=> Height = 32/6.3
=> Height = 5.07 inches
So, height of parallelogram = 5.07 inches
The missing variable for this parallelogram is the height, which is 5.08 inches.
Further explanationWe begin with the formula for the area of a parallelogram:
A = bh, where A represents the area, b represents the base and h represents the height.We plug in all given information. We know the area, 32 in², and we know the base, 6.3 in:
32 = 6.3hNext we solve for our variable, h. Since 6.3 and h are beside each other, we know they have been multiplied. To cancel this, we will divide both sides by 6.3:
[tex]\frac{32}{6.3} = \frac{6.3h}{6.3}\\ \\5.079=h\\\\5.08 \approx h[/tex]This means that the missing variable, the height, is approximately 5.08 inches.
Learn more1. Learn more about the area of parallelograms: https://brainly.com/question/12600451
2. Learn more about finding missing measurements: https://brainly.com/question/12370902
3. Learn more about solving simple equations: https://brainly.in/question/6788771
Keywords: missing variables, missing measurements, area of parallelogram, missing side of parallelogram
A certain city has a 6% general sales tax. A) if you purchase an item for $45.62 what will be the amount of tax?
Answers
Answer:
$ 2.737
Step-by-step explanation:
The amount of tax is 6% of the purchase price
Solution
[tex]\frac{6}{100} *45.62=2.7372[/tex]
Amount of tax will be $2.737
The amount of tax is 6% of the purchase price
Solution
\frac{6}{100} *45.62=2.7372
Amount of tax will be $2.737
What is the solution to the system of equations below? y= -4/5 x + and y = –30
Answers
Answer:
[tex]x=37.5[/tex]
Step-by-step explanation:
We need to find the solution to the following system of equations:
[tex]y = -\frac{4}{5} x[/tex] and [tex]y=-30[/tex]
By plugging the value of 'y' into the first equation we have that:
[tex]-30 = -\frac{4}{5} x[/tex] ⇒ [tex]30=\frac{4}{5} x[/tex]
Solving for 'x' we have:
[tex]x=37.5[/tex]
So, the solution to the system of equation is: (37.5, -30)
given that (-7,1) is on the graph of f(x), find the corresponding point for the function 3f(x)
Answers
Answer:
(-7,3)
Step-by-step explanation:
Given that point (-7,1) is on the graph of f(x), means that
[tex]f(-7)=1[/tex]
To find the corresponding point for the function y=3f(x), you have to find the value of the function at x=-7.
Substitute x=-7 into the function's expression:
[tex]y=3f(-7)[/tex]
Since f(-7)=1, we have that
[tex]y=3\cdot 1=3[/tex]
Hence, the corresponding point has coordinates (-7,3)
To find the corresponding point for the function 3f(x), multiply the y-coordinate of the given point by 3.
Explanation:To find the corresponding point for the function 3f(x), we need to multiply the y-coordinate of the given point by 3.
Given that (-7,1) is on the graph of f(x), we multiply the y-coordinate by 3 to get (1*3) = 3.
Therefore, the corresponding point for the function 3f(x) is (-7,3).
Learn more about Corresponding point for function here:https://brainly.com/question/29146768
#SPJ3
Multiply the polynomials.
(x-6)(x^2+2x-4)
Answers
Answer:
x³ - 4x² - 16x + 24
Step-by-step explanation:
Each term in the second factor is multiplied by each term in the first factor, that is
x(x² + 2x - 4) - 6(x² + 2x - 4) ← distribute both parenthesis
= x³ + 2x² - 4x - 6x² - 12x + 24 ← collect like terms
= x³ - 4x² - 16x + 24
A. x³ - 2x² - 16x + 24
How to Multiply Polynomials?To multiply 2 polynomials, apply the distributive property by using each term in 1 polynomial to multiply every in the other polynomial.
How do we calculate polynomial?Know how far left and right the roots may beKnow how many roots (the same as its degree)Estimate how many may be complex, positive and negative(x – 6)(x² + 2x – 4)
x(x² + 2x – 4) -6(x² + 2x – 4)
x³ + 2x² - 4x - 6x² - 12x + 24
Combine like terms
x³ - 2x² - 16x + 24
(x – 6)(x² + 2x – 4) equals: A. x³ - 2x² - 16x + 24
Learn more about multiplying polynomials here brainly.com/question/13128694
#SPJ2
NEED MAJOR HELP ONLY ONE CHANCE LEFT !!! Which degree would it be ???
Answers
Answer:
104
Step-by-step explanation:
< MON = 180 - 104 = 76
This is an isosceles triangle.
There fore < OMN = 76
< LMN = 180 -76 = 104
Which number is larger, 9.1 or √81 ? Explain
for 15 pts!!!! ASAP I NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Sqrt(81)=9
So 9.1 is larger!
Thanks!
Pentagon PQRST and its reflection, pentagon P'Q'R'S'T', are shown in the coordinate plane below:
What is the line of reflection between pentagons PQRST and P'Q'R'S'T'?
Answers
The line of reflection between the two pentagons is the y-axis.
We can see this because all of the points in pentagon P'Q'R'S'T' have the same x-coordinate as their corresponding points in pentagon PQRST, but their y-coordinates are negated. For example, point P has coordinates (-4, 6), and its reflected image P' has coordinates (-4, -6).
The y-axis is the only line that passes through all of the midpoints of the segments connecting corresponding points in the two pentagons. Since reflection preserves distance, the line of reflection must be the perpendicular bisector of any segment connecting a point in one pentagon to its reflected image in the other pentagon.
Simplify the expression by combining like terms.
4y+7x- 2y+4x
Answers
Hello!
Answer:
[tex]\boxed{2y+11x}[/tex]
Step-by-step explanation:
Distributive property: a(b+c)=ab+ac
First, you switch sides. *Group like terms*
[tex]4y-2y+7x+4x[/tex]
Then, you add the similar to elements. You can also add the numbers from left to right.
[tex]4y-2y=2y[/tex]
[tex]2y+7x+4x[/tex]
[tex]7x+4x=11x[/tex]
[tex]\boxed{2y+11x}\checkmark[/tex], is the correct answer.
Hope this helps!
Have a nice day! :)
Answer:
2y + 11x
Step-by-step explanation:
Simplify the expression 4y+7x- 2y+4x
To simplify any expression, combine the like terms by adding or subtracting
To simplify 4y+7x- 2y+4x, combine the like terms
combine 4y and -2y, = 2y and
combine 7x and 4x = 11x
2y + 11x
Evaluate the following expression.
2 cubed
A.) 69
B.) 27
C.) 5
D.) 8
Answers
Answer:
D) 8
Step-by-step explanation:
2^3 means 2 times itself 3 times:
2*2*2
2*2 is 4 so:
4*2
4*2 is 8 so the answer is D, 8!
D) 8
What's the equation defining?Mathematics written statement indicating the equality of 2 expressions. this consists of the sequence of symbols that are split in the left or right sides joined by the equal sign. example, 2 + 4 + 5 = 11 is an equation.
Do equations always contain terms?When equality holds, the total weight on the each side is the same. Equations often contain terms other than a unknowns. These other terms, which are assumed to known, is usually known as constants, coefficients and parameters
2^3 means 2 times itself 3 times:
2*2*2
2*2 is 4 so:
4*2
4*2 = 8
so the option is D, 8
Learn more about equations here brainly.com/question/2263981
#SPJ2
PLEASE HELP!!!! Type the correct answer in each box.
The graph that correctly represents the inequality 2x > 50 is graph
. The graph that correctly represents the inequality x + 6 < 32 is graph
Answers
Answer:
the first one is graph c and the second, graph b.
Step-by-step explanation:
They are both linear inequalities, so for both, you have to solve for x first. For the first one, since x is basically multiplied to 2 (2x), you have to divide both sides to get x by itself, and you get x>25. The graph has to have an opened circle, and the arrow should go to the right because all the numbers greater than 25 can be x. For the second one, you have to subtract 6 to both sides to get x by itself which then leaves you with ×<26. This one should also be an opened circle, and is going to the left, because all the numbers less than 26 can be x.
Answer:
first box c second box b
Step-by-step explanation:
Can someone help ...
Answers
You add all of the number and divide the number you added
(7+0+11+10)/3 = 8
I supposed to divided by 4 here since there are 4 numbers but I considered 0 is just 0 so just divided by 3. I hope this answer will help.
Determine if each set of ordered pairs represents a function.
(2,3), (6,-5), (-1,3)
Answers
Answer:
yes
Step-by-step explanation:
You can perform the "line test." If it is a function, there will not be two x's of the same value. In this case, x is 2,6,-1. No number repeats, thus making a function.
Answer:
Function:
(7, -4) (0, 9), (2, -2)
(-6, 5), (-5,6), (8,2)
(2, 3), (6, -5), (-1,3)
Not a Function:
(1, 9), (-3, -2), (1, -4)
(0, 3), (0, 7), (4, 0)
Step-by-step explanation:
I got it right on edge lol
also none of the other answers for this question on here are right
given that ABCD is a rhombus, what is the value of x?
Answers
Answer:
D. 18Step-by-step explanation:
We know:
1. Diagonals of a rhombus are perpendicular.
2. Diagonals divide the rhombus on four congruent right triangles.
3. The sum of measures of acute angles in a right triangle is equal 90°.
Angles CAD and ACB are alternate angles. Therefore they are congruent:
m∠DAC = m∠ACB ⇒ m∠ACB = x°.
From 3. we have the equation:
(5x - 18) + x = 90
(5x + x) - 18 = 90 add 18 to both sides
6x = 108 divide both sides by 6
x = 18
Answer:
Option D
Step-by-step explanation:
In any Rhombus the diagonals bisect the angles. The diagonals are perpendicular bisectors of each other.
So,
5x-18+x+90=180 ( Angles of a triangle add to 180 degrees)
Simplifying like terms:
6x+72=180
Subtracting 72 both sides :
6x= 108
Dividing by 6 both sides:
x=18.
Option D is correct.
Which of the following Best describes the function -x^4+1
a)The degree of the function is even so the ends of the graph continue in opposite directions. Because the leading coefficient is positive the left side of the graph continues down the coordinate plane and the right side continues upward.
b) The degree of the function is even so the ends of the graph continue in the same direction. because the leading coefficient is negative the left side of the graph continues down the coordinate plane and the right side also continues downward
c) The degree of the function is even so the ends of the graph continue in opposite directions. because the leading coefficient is negative the left side of the graph continues up the coordinate plane and the right side continues downward
d) The degree of the function is even so the ends of the graph continue in the same direction. because the leading coefficient is positive the left side of the graph continues of the coordinate plane and the right side also continues upward.
Answers
ANSWER
b) The degree of the function is even so the ends of the graph continue in the same direction. because the leading coefficient is negative the left side of the graph continues down the coordinate plane and the right side also continues downward
EXPLANATION
The given polynomial function is
[tex]f(x) = - {x}^{4} + 1[/tex]
The degree of this function is even which is 4.
The function extends in the same direction at both ends.
In other words both ends continue in the same direction.
Since the coefficient of the leading term is negative, the graph extends to negative infinity at both ends.
The correct answer is B
What is the range for this set of data?
38, 17, 55, 40
2
38
39
72
Answers
Answer:
38
Step-by-step explanation:
Range is the largest number minus the smallest number
The largest number is 55 and the smallest number is 17
55-17 = 38