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3 years ago

Please help with number 4

Mathematics

1 answer:

Anna35 [415]3 years ago

7 0

Her statue is 20cm because 5ftx12cm is 60ft. therefore the statue should be 60ft in total. 60÷4=20 therefore her drawing is 20cm tall.

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1. Given that 4x²- 16x + 15 = a(x-p)²+ q for all values of x.

FinnZ [79.3K]

Answer:

a = 4, p = 2, q = - 1

Step-by-step explanation:

Expand the right side of the identity, then compare the coefficients of like terms with those on the left side.

a(x - p)² + q ← expand (x - p)² using FOIL

= a(x² - 2px + p²) + q ← distribute parenthesis

= ax² - 2apx + ap² + q

Compare coefficients of x² term

a = 4

Compare coefficients of x- term

- 2ap = - 16, that is

- 2(4)p = - 16

- 8p = - 16 ( divide both sides by - 8 )

p = 2

Compare constant terms

ap² + q = 15 , that is

4(2)² + q = 15

16 + q = 15 ( subtract 16 from both sides )

q = - 1

Thus a = 4, p = 2, q = - 1

8 0

3 years ago

Our math team had m students last year, but this year it has already n students! By what percent did the number of students grow

AlekseyPX

For this case we are going to assume the following:
m: whole number greater than zero.
n: integer greater than zero.
Where,
n> m
According to these assumptions, the percentage of growth is given by the following formula:
$(n / m) * 100 - 100$
Answer:
the number of students did grow by:
$(n / m) * 100 - 100$

4 0

4 years ago

Read 2 more answers

The system px +qy =r; fx + gy = h has solution(3,-1), where f,g,h,p,q, and r are nonzero real numbers.

Andrej [43]

The equivalent system of equations that would guarantee a solution of (3,-1) are

a. (p+f)x+(q+g)y= r+h and fx+gy=h
d. px+qy=r and (f-2p)x+(g-2q)y=h-2r
e. px+qy+r and 5fx+ 5gy = 5h

<h3>How to determine the system of equations?</h3>

The system of equations is given as:

px +qy =r

fx + gy = h

Add both equations

(p + f)x + (q + g)y = r + h

Multiply the second equation by a constant (say 5)

5fx + 5gy = 5h

Multiply the first equation by a constant (say 2)

2px + 2qy = 2r

The combination of any of the above equations to the given equation would guarantee a solution of (3,-1)

Hence, the equivalent system of equations are (a), (d) and (e)

Read more about system of equations at:

brainly.com/question/14323743

#SPJ1

6 0

2 years ago

] Monica Geller, head chef at Allesandro's and is looking to update the commercial equipment in her kitchen and bar that will al

liubo4ka [24]

Answer:

The maximum amount that should be spent on the upgrade is $38,298,000.

Step-by-step explanation:

Let the initial purchase be x.

The ROI = 15% of x = 0.15x

At the end of 4 years, salvage value = 10% of x = 0.1x

Current income per day = $16 × 230 = $3680

Expected income per day = $21 × 245 = $5145

Increase in income per day = $5145 - $3680 = $1465

For 4 years (assuming a year is 365 days),

Increase in income = $1465 × 365 × 4 = $2138900

Maintenance and utility cost for 4 years = 4 × $56000 = $224000

At the end of 4 years,

ROI = $2138900 + salvage value = $2138900 + 0.1x - $224000

0.15x = $1914900 + 0.1x

0.05x = $1914900

x = $38298000

5 0

3 years ago

Read 2 more answers

Show me how to do this on paper I need it right now

lianna [129]

Answer:

Step-by-step explanation:

Billys mistake was when he multiplied the 80 by 12 instead of carrying the 1 from getting 160 from 80 x 2 he just put 16 and added 8 to it from 1 x 8.

7 0

3 years ago

Read 2 more answers