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2 years ago

What is equivalent expression of (6 + 7) x?

Mathematics

1 answer:

Diano4ka-milaya [45]2 years ago

4 0

Answer:

7x+6x

Step-by-step explanation:

Distributive property. 7 times x = 7x. 6 times x = 6x

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Which of the following exponential functions represents the graph below?

mario62 [17]

Answer:

the graph corresponds to function "D" $f(x)=3\,(\frac{1}{5} )^x$

Step-by-step explanation:

Since the graph shown corresponds to an exponential "decay" (the function decreases as we move from left to right), the base of the exponent has to be a number smaller than 1 (one). So we examine the only two options that give such (options C and D which have fractions as the base - 1/3 and 1/5 respectively)

From there, we analyze which of the two functions satisfies the crossing of the y-axis at (0,3) which is clearly shown in the graph:

We study both:

function C at x = 0 gives:

$f(x)= 5\,(\frac{1}{3})^x\\f(0)=5\,(\frac{1}{3})^0 \\f(0)=5\,(1)\\f(0)=5$

while function D at x = 0 gives:

$f(x)= 3\,(\frac{1}{5})^x\\f(0)=3\,(\frac{1}{5})^0 \\f(0)=3\,(1)\\f(0)=3$

Therefore, the graph corresponds to function "D"

3 0

3 years ago

What is the value of the x variable in the solution to the following system of equations? 4x − 3y = 3 5x − 4y = 3

andrew-mc [135]

Solve 4x − 3y = 3 and 5x − 4y = 3

Step 1: Solve for x in 4x-3y=3:
4x-3y=3
4x-3y+3y=3+3y [Add 3y to both sides]
4x=3y+3
 $\frac{4x}{4} = \frac{3x+3}{4}$ [Divide both sides by 4]
x= $\frac{3}{4}y+ \frac{3}{4}$

Step 2: Substitute $\frac{3}{4}y+ \frac{3}{4}$ for x in 5x-4y=3
5x-4y=3
5( $\frac{3}{4}y+ \frac{3}{4}$ )-4y=3
 $\frac{-1}{4}y+ \frac{15}{4} =3$
$\frac{-1}{4}y+ \frac{15}{4} - \frac{15}{4} =3- \frac{15}{4}$ [Subtract $\frac{15}{4}$ to both sides]
$\frac{-1}{4}y= \frac{-3}{4}$
$\frac{ \frac{-1}{4}y}{ \frac{-1}{4} }= \frac{\frac{-3}{4} }{ \frac{-1}{4}}$ [Divide both sides by $\frac{-1}{4}$ ]
y = 3

Step 3: Substitute 3 for y in x = $\frac{3}{4}y+ \frac{3}{4}$
$\frac{3}{4}y+ \frac{3}{4}$
$\frac{3}{4}(3)+ \frac{3}{4}$
x = 3

5 0

3 years ago

Please help this is 5th Grade Math also show work 15 Points awarded

Dimas [21]

Answer:

The only one that would be reasonable is the first one...and maybe the third one too

Step-by-step explanation:

8 0

3 years ago

Explain how to square a fraction and also how to cube a fraction.

Mamont248 [21]

Answer:

Step-by-step explanation:To square a fraction, you first square the numerator and then the denominator. Eg:

3/5 squared is 9/25.

Same Wise, to cube a fraction. Eg:

What is 2/3 cubed? 8/27

5 0

3 years ago

Find the inverse of each function

makkiz [27]

Answer:

These are the steps to do it since there is no equations provided

Step-by-step explanation:

1.) First, replace f(x) with y . ...

2.) Replace every x with a y and replace every y with an x .

3.)Solve the equation from Step 2 for y . ...

4.) Replace y with f−1(x) f − 1 ( x ) .

Hope this helps :)

4 0

3 years ago