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finlep [7]
2 years ago
6

Write the quadratic equation whose roots are 1 and −5, and whose leading coefficient is 4.

Mathematics
1 answer:
jarptica [38.1K]2 years ago
5 0

Answer:

Standard Form: y = 4(x-1)(x+5)

Step-by-step explanation:

4 is the leading coefficient, so it should go in front. When making a standard quadratic equation, you must do the opposite for each of the roots (negative to positive, positive to negative.)

if you’re asking for a general form quadratic equation, then sorry, I am unable to help you with that :(

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7. Subtract (5 – 7p) from (2p – 3).
Aliun [14]

Answer:

= (2p-3)-(5-7p)

= 2p-3-5+7p

= 2p+7p-3-5

= 9p-8

7 0
2 years ago
X = 1/2at^2 <br><br> Solve for t. <br><br> 1.<br><br> 2.<br><br> 3.<br><br> 4.
blsea [12.9K]
Lets get started :)

We need to isolate t from x = \frac{1}{2}at²

Take 2 to the left-hand side { Do multiplication since you see division }
2x = at²

Take a to the left-hand side { Do division since you see multiplication }
\frac{2x}{a} = t² 

Take square root since t is to the power of 2
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8 0
3 years ago
What is the smallest fraction out of 1/3, 1/6 and 2/9
Nastasia [14]
2/9 is the smallest because the denominator is the smaller meaning there are more places so in perspective its smallest
5 0
3 years ago
You want to make 3 pairs of earrings that are in the shape of isosceles triangles. Each earring will have a base of 2 cm. The wi
son4ous [18]

Answer:

The length of each of the other two sides would be  3.1 cm

Step-by-step explanation:

<u><em>The options of the question are</em></u>

A. 3.1 cm

B. 3.2 cm

C. 4.2 cm

D. 6.1 cm

we know that

An isosceles triangle has two equal sides and two equal interior angles

Let

x -----> the length of each of the two equal sides in the isosceles triangle

The perimeter of one isosceles triangle is equal to

P=2x+2

Remember that

To maximize the use of the wire, the perimeter of 6 earrings (3 pairs of earrings) must be equal to 50 cm

so

6(2x+2)=50

Solve for x

12x+12=50

12x=50-12

12x=38

x=\frac{38}{12}=3.16\ cm

therefore

The length of each of the other two sides would be  3.1 cm

7 0
3 years ago
***Factor the expressions using the GCF.***
Sedbober [7]

Answer:

1. 1+2

2. 4-1

3. 3-2

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6. 5-4

Step-by-step explanation:

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2. GCF is 11

3. GCF is 6

4. GCF is 5

5. GCF is 6

6. GCF is 20

4 0
3 years ago
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