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2 years ago

Given f(x)=x2+12x+26. Enter the quadratic function in vertex form in the box. f(x)=

Mathematics

1 answer:

makvit [3.9K]2 years ago

4 0

Answer:

vertex(-6,-3)

Step-by-step explanation:

x^2+12+36-36+26

(x+6)^2-10

v=(-6,-10)

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What is the percent change from 20 to 35

sertanlavr [38]

So in this case the working would be 35-20= 15
Now we put in the formula. (15/20)*100 which gives us 75. 75% is your percentage change

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2 years ago

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My friend sets out walking at a speed of 3 miles per hour. I set out behind her 5 minutes later at 4 miles per hour.

MissTica

3 m/h=0.05m/m
.05•5=0.25 m/h I believe?

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2 years ago

Jim borrows $790 for 4 months. He pays a simple interest of 6%. How much interest must be pay? Around your answer to the nearest

k0ka [10]

Answer:

189.6

Step-by-step explanation:

790*4=3160*6%

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2 years ago

I need help with this question please

ludmilkaskok [199]

Answer:

Step-by-step explanation:

The enclosing rectangle is 24 units long and 12 units high. Its area is ...

(24 units)(12 units) = 288 square units

The white circles obviously cover more than half the area, so the only viable answer choice is 62.

If you want to go to the trouble to actually figure it out, you can find the area of each circle using the area formula ...

A = πr² = (3.14)(6²) = 113.04

Then both circles have an area of 2×113.04 = 226.08, and the shaded area is the difference between that and the rectangle area:

shaded area = 288 -226.08 = 61.92 ≈ 62

5 0

2 years ago

A carpenter is assigned the job of expanding a rectangular deck where the width is one-fourth the length. the length of the deck

anzhelika [568]

Alright, lets get started.

Suppose the original deck size: width = x feet

the width is one-fourth the length given in question means length = 4 x feet

Means the originally area = $x * 4 x = 4 x^{2}$

Now the dimensions are changed.

New dimensions, width = (x + 6)

new length = (4x+10)

So, new area will be = $(x+6) * (4x+10) = 4x^{2} + 10 x + 24 x + 60 = 4x^{2} + 34 x + 60$

the area of the new rectangular deck is 128 ft2 larger than the area of the original deck, means

$4x^{2} + 128= 4x^{2} + 34 x + 60$

Subtracting $4x^{2}$ from both sides

$128 = 34 x + 60$

Subtracting 60 from both sides

$128 - 60 = 34 x + 60 - 60$

$68 = 34 x$

Dividing 34 in both sides

$\frac{68}{34} = \frac{34 x }{34}$

$x = 2$

Means width = 2 feet

Length would be = 4 time width = 4 * 2 = 8 feet

Means dimension of original deck would be = 2 feet and 8 feet :Answer

Hope it will help :)

8 0

2 years ago