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GarryVolchara [31]
3 years ago
11

How is the graph of y=4(2)^x+3 translated from the graph of y=4(2)^x?

Mathematics
1 answer:
GarryVolchara [31]3 years ago
7 0
<span>C. 3 units down. Your Welcome
</span>
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What is the solution to the following system of equations?<br> y = x2 + 10x + 11<br> y = x2 + x − 7
likoan [24]
Equation 1)  y = x² + 10x + 11
Equation 2)  y = x² + x - 7

Subtract equations from one another.

9x = 18

Divide both sides by 9.

x = 2

Plug in 2 for x in the first equation.

y = x² + 10x + 11

y = 2² + 10(2) + 11

Simplify.

y = 4 + 20 + 11

y = 35

Plug in 35 for y and 2 for x in the first equation to check your work. 

y = x² + 10x + 11

35 = 2² + 10(2) + 11

35 = 4 + 20 + 11

35 = 24 + 11

35 = 35

So, we know that our answer is correct! :))

x = 2, y = 35


3 0
3 years ago
select all the sets that are the three side lengths of right triangles A.8,7,15 B.4, 10, √84 C. √8, 11, √129 D. √1, 2, √3
Semenov [28]

Answer:

<h3>B.4, 10, √84 </h3><h3>C. √8, 11, √129 </h3><h3>D. √1, 2, √3</h3>

Step-by-step explanation:

For any set of three side length of a triangle to be a right angled triangle, the sum of the square of the two of the sides must be equal to the square of the longest side according to pythagoras theorem.

The longest side is always the hypotenuse

For option D, 2 will be the longest side. Since 2 is the hypotenuse, the sum of the square of other two values must be equivalent to the square of 2,

= (\sqrt{1})^{2} +  (\sqrt{3})^{2} \\ = 1=3\\= 4\\= 2^{2} (hypotenuse)

This shows that √1, 2, √3 are three sides of a right triangles.

Similarly for option C, the hypotenuse is √129 being the largest.

To show the sides are that of a right triangles;

= (\sqrt{8}) ^{2} + 11^{2} \\= 8 + 121\\= 129\\= (\sqrt{129})^{2} \\

Since the resulting  value is the square of the hyp, then √8, 11, √129 are three sides of a right triangles.

For option B; 10 is the hypotenuse being the longest sides, To show the sides are that of a right triangles;

=4^{2}+(\sqrt{84})^{2} \\ = 16+84\\= 100\\= 10^{2}

Since the resulting  value is the square of the hyp, then 4, 10, √84  are three sides of a right triangles.

Only option A is wrong since 15² is not equal to the sum of 8² and 7².

4 0
3 years ago
What is the domain of the function f(x)=x−16? f(x)=x−16?
Damm [24]

Answer:

C

Step-by-step explanation:

f(x)=x-16 is just a straight line with a slope of one at a y intercept of -16. Therefore, x can hit all numbers in the x axis making the domain x is in the element of all real numbers.

7 0
4 years ago
Read 2 more answers
A triangle has side lengths of 19 feet, 16 feet, and 18 feet. What kind of triangle is it?
Pavel [41]

Answer:

obtuse triangle

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
There were 7,500 tickets sold for a concert, 20% of which were general admission. How many general tickets were sold?
konstantin123 [22]

7,500*20%=g

7,500*.20=g

1500=g

1,500 general admission tickets were sold.

5 0
3 years ago
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