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3 years ago

On average, cody runs 4 miles in 38 minutes. How fast should he plan to run a 10-mile race if he maintains this place.

Mathematics

1 answer:

OLga [1]3 years ago

3 0

Answer:

Step-by-step explanation:

C is the correct answer

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NEED The FULL equation. Will give Brainly. Thank you!

Ghella [55]

Answer:

$\displaystyle \sf h( - 1) = - \frac{ 2}{3}$

Step-by-step explanation:

we are given a function

$\displaystyle \sf h(x) = \frac{2x - 6}{4 {x}^{2} + 8}$

we would like to simplify it for h(-1)

in order to do so

substitute the value of x

$\displaystyle \sf h( - 1) = \frac{2 \cdot - 1- 6}{4 { (- 1)}^{2} + 8}$

by order of PEMDAS

simplify square:

$\displaystyle \sf h( - 1) = \frac{2 \cdot - 1- 6}{4 { ( 1)}^{} + 8}$

simplify multiplication:

$\displaystyle \sf h( - 1) = \frac{ - 2 - 6}{4 { }^{} + 8}$

simplify addition:

$\displaystyle \sf h( - 1) = \frac{ - 2 - 6}{12}$

simplify subtraction:

$\displaystyle \sf h( - 1) = \frac{ - 8}{12}$

reduce fraction:

$\displaystyle \sf h( - 1) = - \frac{ 2}{3}$

5 0

3 years ago

If T: (x, y) → (x + 6, y + 4), then T-1: (x,y) → _____.

alexgriva [62]

T is a linear transformation from R²→R² with basis {(1,0),(0,1)}
T: (x,y)→(x+6,y+4)

A function from one vector space to another that preserves the underlying (linear) structure of each vector space is called a linear transformation.

Then the vector (1,0) goes to (1+6,4)=(7,4)=7(1,0)+4(0,1)

and the vector (0,1) goes to (6,1+4)=(6,5)=6(1,0)+5(0,1)

So, the matrix of the transformation is

$\left[\begin{array}{ccc}7&6\\4&5\end{array}\right]$

The inverse of the matrix is

$\left[\begin{array}{ccc}\frac{5}{11}&\frac{-6}{11}\\ \\\frac{-4}{11}&\frac{7}{11}\end{array}\right]$

So, the Inverse Transformation is given by

$T^{-1}(x,y)=\left[\begin{array}{ccc}\frac{5}{11}&\frac{-6}{11}\\ \\\frac{-4}{11}&\frac{7}{11}\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] =(\frac{5x-6y}{11}, \frac{-4x+7y}{11})$

So, no option is correct. And the answer is

$T^{-1}(x,y)=(\frac{5x-6y}{11}, \frac{-4x+7y}{11})$

Learn more about linear transformations here-

brainly.com/question/13005179

#SPJ10

5 0

2 years ago

What is 18 divided by 7 long division

Lilit [14]

2.6 is the aswer.
Why?take the 2 number after the decimal the estimate

3 0

3 years ago

Pls, can someone answer this, Explain, using words and numbers, how to subtract 7x - ( 6x + 13). Remember to include the solutio

Hitman42 [59]

So first you distribute the negative to the 6x and 13 which will flip the sign of both of them to -6x and -13 so take away the parentheses and the equation is now 7x-6x-13. You combine the x’s and you get 1x-13 or x-13

3 0

3 years ago

Fill in the blank for Remainder Therom<br><br><br> x 3 + x 2 - 21x - 45 = (x + 3)(x - 5)(x+?)

icang [17]

Not sure about remainder theorem but I'm sure that the last terms should all multiply tho the last term

see the expanded form is -45

so the last terms of each binomial should multiply to -45

3 times -5 times ?=-45
-15 times ?=-45
divide by -15
?=3

the question mark is 3

5 0

3 years ago

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