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nikdorinn [45]
3 years ago
13

Need some help with the answer to the question

Mathematics
1 answer:
kicyunya [14]3 years ago
8 0

Answer:

(- 4, 27 )

Step-by-step explanation:

Equate the right sides of both equations, that is

x² - 2x + 3 = - 2x + 19 ← subtract - 2x + 19 from both sides

x² - 16 = 0 ← in standard form

(x - 4)(x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x + 4 = 0 ⇒ x = - 4

Substitute these values into f(x) = - 2x + 19

f(4) = - 2(4) + 19 = - 8 + 19 = 11 ⇒ (4, 11 )

f(- 4) = - 2(- 4) + 19 = 8 + 19 = 27 ⇒ (- 4, 27 )

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Read 2 more answers
The length of a rectangular deck is 4 times it’s width. If the deck’s perimeter is 30ft, what is the deck’s area?
ioda

Try this solution (note, this is not the shortest way):

1. if the given length is 'l' and the width is 'w', then according to the condition 4*l=w;

2. according to the condition the perimeter is 30 ft. Formula of the perimeter is P=2(l+w), then 2(l+w)=30;

3. if to substitute '4*l' instead of 'w', the formula of the perimeter (from item no. 2) will be as 2(4*l+l)=30 or 10*l=30 ⇒ l=3 ft. The length is 3 ft.!

4. if l=3 ft., then w=4*3=12 ft. The width is 12 ft.!

5. Area is

A=w*l; A=12*3=<u>36 ft²</u>

7 0
3 years ago
5y-4=7<br><img src="https://tex.z-dn.net/?f=5y%20-%204%20%3D%207%20" id="TexFormula1" title="5y - 4 = 7 " alt="5y - 4 = 7 " alig
kirill115 [55]
If you're trying to solve for y, 
5y-4=7
bring over the -4
5y=11
5y/5 = y
11/5 = 2.2
y= 2.2
8 0
3 years ago
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