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3 years ago

STVU is an isosceles trapezoid. If SV = 6x - 5 and TU = 2x + 7, find the value of x.x=3

1 answer:

7 0

Because STVU is an isosceles trapezoid
so SV = TU
6x - 5 = 2x + 7
6x - 2x = 7 + 5
4x = 12
x = 3

answer
x = 3

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Consider the inverse function. Which conclusions can be drawn about f(x) = x2 + 2? Select three options. f(x) has a limited rang

PolarNik [594]

Answer:

f(x) has a limited range

f(x) has a maximum at the point (0, 2)

f(x) has a y-intercept at the point (0, 2).

Step-by-step explanation:

Given the function;

f(x) = x^2+2

The domain is the value of the input variables for which the function will exist. According to the expression given, the function exists on all real values of x. The same goes with range which deals with the output values. It also exists on all real values from 2 and above.

Hence f(x) have a limited range (since values less than 2 are not included compare to domain that exists on all real values) and does not have a restricted domain.

For the x intercept, x intercept occur at y = 0

substitute y = 0 into the function and get y

if y = f(x)

y = x^2+2

0 = x^2 + 2

x^2 = -2

x = 2i

Hence f(x) does not have an x-intercept of (2, 0)

For the y intercept, y intercept occur at x = 0

substitute x = 0 into the function and get y

if y = f(x)

y = x^2+2

y = 0^2 + 2

y = 2

Hence f(x) has a y-intercept at point (0, 2)

f(x) is at maximum if d(fx))/dx = 0

d(fx))/dx = 2x

since d(fx))/dx = 0

0 = 2x

x = 0

substitute x = 0 into the function

f(x) = x^2 + 2

y = 0^2+2

y = 2

Hence f(x) has a maximum at the point (0, 2)

5 0

3 years ago

Read 2 more answers

Let E = {(x, y) e R2|xy > 0}. Determine whether E is a subspace of R2 . X3

gayaneshka [121]

Answer:

E is not a subspace of $\mathbb{R}^2$

Step-by-step explanation:

E is not a subspace of $\mathbb{R}^2$

In order to see this, we must find two points (a,b), (c,d) in E such that (a,b) + (c,d) is not in E.

Consider

(a,b) = (1,1)

(c,d) = (-1,-1)

It is easy to see that both (a,b) and (c,d) are in E since 1*1>0 and (1-)*(-1)>0.

But (a,b) + (c,d) = (1-1, 1-1) = (0,0)

and (0,0) is not in E.

By the way, it can be proved that in any vector space all sub spaces must have the vector zero.

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3 years ago

PLEASE HELP ILL MAKE YOU THE BRAINIEST Find the value of x

Firdavs [7]

Answer:

12.04

Step-by-step explanation:

add 8 and 9 by the power of two: 8^2+9^2

that equals to 145

find the square root of 145 and that equals to 12.04

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2 years ago

Write the following percents as both fractions and decimals.

wolverine [178]

Answer:

1/4, 0.25

13/40, 0.325

1/25, 0.04

3/4, 0.75

13/200, 0.065

1 1/4, 1.25

1/8, 0.125

1/500, 0.002

3/400, 0.0075

107/100, 1.07

21/10, 2.10

9/40, 0.225

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3 years ago

Cierra has 3 more than one half as many purses as Aisha. Define a variable and write an expression to represent the number of pu

SOVA2 [1]

Use P to represent the number of purses that Aisha has. 1/2P x 3 if P= 12 then 1/2 (12) x 3= 18

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3 years ago