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2 years ago

create a sketch of the graph of a function whose gradient is linear and that gradient has an x-intercept at x=4

Mathematics

1 answer:

valentina_108 [34]2 years ago

7 0

Here is one that meets your requirements.

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Solve the equation (linear equation)<br><br> <img src="https://tex.z-dn.net/?f=%28%5Cfrac%7B16%7D%7B9%7D%29%20%5E%7B2x%20%2B5%7D

nignag [31]

Answer: $x=-\frac{3}{5}$

Step-by-step explanation:

By the negative exponent rule, you have that:

$(\frac{1}{a})^n=a^{-n}$

By the exponents properties, you know that:

$(m^n)^l=m^{(nl)}$

You can rewrite 16 and 9 as following:

16=4²

9=3²

Therefore, you can rewrite the left side of the equation has following:

$(\frac{4^2}{3^2})^{(2x+5)}=(\frac{3}{4})^{(x-7)}\\\\(\frac{3^2}{4^2})^{-(2x+5)}=(\frac{3}{4})^{(x-7)}\\\\(\frac{3}{4})^{-2(2x+5)}=(\frac{3}{4})^{(x-7)}$

As the base are equal, then:

$-2(2x+5)=x-7$

Solve for x:

$-2(2x+5)=x-7\\-4x-10=x-7\\-4x-x=-7+10\\-5x=3\\x=-\frac{3}{5}$

6 0

3 years ago

Question

schepotkina [342]

Answer:

$F = \frac{9C + 32}{5}$

Step-by-step explanation:

Given

$C = \frac{(5F - 32)}{9}$

Required

Determine the inverse function

$C = \frac{(5F - 32)}{9}$

Make F the subject of formula:

Multiply through by 9

$9C = 5F - 32$

Add 32 to both sides

$9C + 32= 5F$

Divide through by 5

$\frac{9C + 32}{5}= F$

$F = \frac{9C + 32}{5}$

6 0

2 years ago

The quotient of m and 7

xxTIMURxx [149]

the quotient of m and 7 = m/7

8 0

2 years ago

Kimora wants to put ribbon around her SQUARE picture frame. One side is 7 inches long. How much ribbon will she need? (hint: aro

denis23 [38]

Answer is 28 inches.

A square has equal sides and to find the perimeter, you add all the sides.

7 x 4 = 28

7 0

2 years ago

What is the value of x in the triangle?

yulyashka [42]

<h3>Answer: C) x = 13</h3>

====================================================

Work Shown:

We have a right triangle with legs a = 5 and b = 12. The hypotenuse is c = x which is unknown for now.

Use the pythagorean theorem to find x.

a^2 + b^2 = c^2

5^2 + 12^2 = x^2

25 + 144 = x^2

169 = x^2

x^2 = 169

x = sqrt(169) .... apply the square root to both sides

x = 13

4 0

2 years ago