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Rainbow [258]
2 years ago
6

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 <span>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
</span>\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}<span> for x in 5x-4y=3
5x-4y=3
5(</span>\frac{3}{4}y+ \frac{3}{4}<span>)-4y=3
</span>\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} ]
<span>y = 3

Step 3: Substitute 3 for y in x = </span>\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 ) .

<em>Hope this helps :)</em>

4 0
3 years ago
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