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cricket20 [7]
2 years ago
11

Nick wrote the function p(x) = 17 + 42x – 7x2 in vertex form. His work is below.

Mathematics
1 answer:
Finger [1]2 years ago
8 0

Answer:

step 3

Step-by-step explanation:

he should have subtracted 9 to the outside.

whatever you do to the inside you must do to the opposite to the outside

so your final form must be -7(x-3)^2 + 8

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Messed up and didnt put the attachment on the last post
Margarita [4]

<u>Answer</u><u> </u><u>:</u><u>-</u>

9(3+√3) feet

<u>Step </u><u>by</u><u> step</u><u> explanation</u><u> </u><u>:</u><u>-</u>

A triangle is given to us. In which one angle is 30° and length of one side is 18ft ( hypontenuse) .So here we can use trignometric Ratios to find values of rest sides. Let's lable the figure as ∆ABC .

Now here the other angle will be = (90°-30°)=60° .

<u>In ∆ABC , </u>

=> sin 30 ° = AB / AC

=> 1/2 = AB / 18ft

=> AB = 18ft/2

=> AB = 9ft .

<u>Again</u><u> </u><u>In</u><u> </u><u>∆</u><u> </u><u>ABC</u><u> </u><u>,</u><u> </u>

=> cos 30° = BC / AC

=> √3/2 = BC / 18ft

=> BC = 18 * √3/2 ft

=> BC = 9√3 ft .

Hence the perimeter will be equal to the sum of all sides = ( 18 + 9 + 9√3 ) ft = 27 + 9√3 ft = 9(3+√3) ft .

<h3><u>Hence </u><u>the</u><u> </u><u>perim</u><u>eter</u><u> of</u><u> the</u><u> </u><u>triangular</u><u> </u><u>pathway</u><u> </u><u>shown</u><u> </u><u>is</u><u> </u><u>9</u><u> </u><u>(</u><u> </u><u>3</u><u> </u><u>+</u><u> </u><u>√</u><u>3</u><u> </u><u>)</u><u> </u><u>ft</u><u> </u><u>.</u></h3>
3 0
3 years ago
Last year, Susan had 10,000 to invest. She invested some of it in an account that paid 6%
katrin2010 [14]

Answer:

In the account that paid 6% Susan invest \$6,000

In the account that paid 5% Susan invest \$4,000

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

Part a) account that paid 6% simple interest per year

in this problem we have

t=1\ years\\ P=\$x\\r=0.06

substitute in the formula above

I1=x(0.06*1)

I1=0.06x

Part b) account that paid 5% simple interest per year

in this problem we have

t=1\ years\\ P=\$10,000-\$x\\r=0.05

substitute in the formula above

I2=(10,000-x)(0.05*1)

I2=500-0.05x

we know that

I1+I2=\$560

substitute and solve for x

0.06x+500-0.05x=560

0.01x=560-500

0.01x=60

x=\$6.000

therefore

In the account that paid 6% Susan invest \$6,000

In the account that paid 5% Susan invest \$4,000

6 0
3 years ago
There are 790 cal in 610 ounce bottles of apple juice how many calories are there in one 10 ounce bottle of apple juice
Akimi4 [234]
I would say 18 because 790-610= 180 and 180÷10= 18
7 0
3 years ago
I don’t understand the equation
ankoles [38]

you need to find to find the value of x and y.

2x>(-15-5y)

x>(-15-5y)/2

now put this in to other equation and solve for y and then put the y value in and find x.

6 0
3 years ago
Here’s a graph of a linear function. Write the equation that describes that function. Express it in slope-intercept form.
Ipatiy [6.2K]

Answer:

y=4x-1

Step-by-step explanation:

Slope-intercept form is written in y=mx+b

  *m=slope

  *b=y-intercept

From what I see,

the line hits the points (0,-1) and (1,3)

Slope is the rise (change in the y-coordinate) of the line divided by the run (change in the x-coordinate).

4÷1=4

Slope=4

y=4x+b now

The y-intercept is the value of y when the line meets the y-axis

It seems to meet at (0,-1)

So we end up with...

y=4x-1 as our equation

8 0
3 years ago
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