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3 years ago

Determine the equation of the graph and select the correct answer below.

Mathematics

2 answers:

faltersainse [42]3 years ago

4 0

<span>y = (x − 1)2 + 3 hope this helps</span>

____ [38]3 years ago

4 0

From the graph, the vertex is at (1, -3)

vertex form is y = (x-h)^2 + k

where h,k) is the vetex

so here we have y = (x - 1)^2 - 3

Its C

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160% of what number is 144

givi [52]

Step-by-step explanation:

Let the number be x

160% of x=144

$160x \div 100 = 144$

then we cross multiply

$160x = 100 \times 144$

$160x = 14400$

divide both sides by 160

$160x \div 160 = 14400 \div 160$

$x = 90$

therefore the number is 90

6 0

2 years ago

For every 3 kids movies, there will be how many horror movies?

marishachu [46]

Answer:

The answer will be 8

Step-by-step explanation:

SInce you notice there is movies with an 8 difference....

6 0

2 years ago

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Write the sentence as an inequality.<br> The sum of a number w and 4 is more than -12.

Rudiy27

Answer:

the answer is w + 4 › -12

Step-by-step explanation:

gxyexdx

5 0

3 years ago

In 2003 Nebraska had a population of 1,739,291 while Kansas had a population of 2,723,507. What was their combined population?

patriot [66]

Answer:

4,452,798

Step-by-step explanation:

Hope this helps

6 0

3 years ago

If the farmer has 234 feet of fencing, what are the dimensions of the region which enclose the maximal area?

marissa [1.9K]

Answer: 58 ft × 58 ft

Step-by-step explanation:

Let the length of the region = x feet

And, the width of the region = y feet

Since, the perimeter of the region = 234 feet ( Given )

⇒ $2(x+y) = 234$

⇒ $x+y = 117$

⇒ $y = 117 - x$

Again the area of the region, A = xy

⇒ $A(x) = x(117-x)$

⇒ $A(x) = 117x - x^2$

By differentiating the above equation with respect to x,

⇒ $A'(x) = 117 - 2x$

For maxima or minima,

$A'(x) = 0$

$\implies 117 - 2x = 0$

$\implies -2x = -117$

$\implies x = 58.5$

Again differentiating equation A'(x) with respect to x,

We get, A''(x) = -2

Hence, For x = 58.5 A''(x) = negative

⇒ For x = 58.5 feet the area A(x) is maximum,

⇒ The length of the region having maximum area = x = 58.5 feet

And, the width of the region having maximum area = y = 117-x= 117 - 58.5=58.5 feet,

⇒ The dimension of the region having the maximum area = 58.5 ft × 58.5 ft

8 0

3 years ago

Read 2 more answers