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3 years ago

What value of x makes the equation true?

Mathematics

2 answers:

Alina [70]3 years ago

8 0

Answer:

X is 3

Step-by-step explanation:

You can make your equation simpler by solving the one on the right:

( -11 )^x times ( -11)^4 = ( -11 )^7

Then 7 - 4 is 3 so the exponent must be 3.

Stells [14]3 years ago

6 0

Answer:

x=3

Step-by-step explanation:

(-11)^x * (-11) ^4 = (-11)^10/ (-11)^3

We know a^b * a^c = a^(b+c)

(-11)^(x +4) = (-11)^10/ (-11)^3

We know a^b / a^c = a^(b-c)

(-11)^(x +4) = (-11)^(10 -3)

(-11)^(x +4) = (-11)^(7)

The bases are the same so the exponents are the same

x+4 = 7

Subtract 4 from each side

x+4-4 = 7-4

x =3

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What is the vertex of g(x) = –3x2 + 18x + 2?

blsea [12.9K]

Answer:

$(3,29)$

Step-by-step explanation:

There is a formula that can be used to find the x-value of the vertex of the parabola. This formula is $x=\frac{-b}{2a}$

We have the function $g(x)=-3x^2+18x+2$

From this function, we can find that

$a=-3\\b=18\\c=2$

We can plug in our know values into the formula to get

$x=\frac{-18}{2(-3)\\} \\x=\frac{-18}{-6} \\\\x=3$

Then we can plug in our x-value to find the y-value of the vertex

$g(3)=-3(3)^2+18(3)+2\\\\g(3)=-3(9)+54+2\\\\g(3)=-27+54+2\\\\g(3)=29$

This means that the vertex would be $(3,29)$

6 0

3 years ago

maria walks 22 feet, then goes another 40 feet on a path that makes a 70 degree angle with the path she was on. how far is she,

hammer [34]

Answer:

132 feet

Step-by-step explanation:

22+60+70

7 0

3 years ago

How to round 254 to the nearest hundred

Lisa [10]

One way is using the rules.

7 0

3 years ago

Read 2 more answers

Write a linear equation in slope-intercept form: 5y – 3x + 20 = 0

Arturiano [62]

Slope intercept form is y = mx+ b

So in order to turn 5y-3x + 20 = 0 into Slope intercept form, all we need to do is solve for y!

Let's do it!

add 3x to the right side of the equation

5y - 3x + 20 = 0

5y + 20 = 3x

move 20 to the right side

5y = 3x - 20

Divide both sides of the equation by 5

y = 3/5x - 4

This is our answer!

I hope I helped! Leave a comment if you have any questions or concerns

8 0

2 years ago

HELP me pleaseeeee please

siniylev [52]

Answer:

the answer is C (0, -9)

Step-by-step explanation:

to find y-intercept we need to keep the value x=0

in the given equation

6 0

3 years ago