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Leona [35]
3 years ago
6

Please help me with algebra part B and C. attachment below. Will mark as brainslist. 25 points.

Mathematics
1 answer:
miv72 [106K]3 years ago
8 0

Answer:

C. (-7x+60)(x+4)

Step-by-step explanation:

Consider the expression -7x^2+32x+240.

First, note that

a=-7\\ \\b=32\\ \\c=240

Find the discriminant

D=b^2-4ac=32^2-4\cdot (-7)\cdot 240=1,024+6,720=7,744\\ \\\sqrt{D}=\sqrt{7,744}=88

Now,

x_1=\dfrac{-b+\sqrt{D}}{2a}=\dfrac{-32+88}{2\cdot (-7)}=-4\\ \\x_2=\dfrac{-b-\sqrt{D}}{2a}=\dfrac{-32-88}{2\cdot (-7)}=\dfrac{60}{7}

Write the factored form:

-7x^2+32x+240=-7(x-(-4))\left(x-\dfrac{60}{7}\right)=(x+4)(-7x+60)

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Tell whether the given number is a solution of each question. ( Must show work for credit)
guajiro [1.7K]

Answer/Step-by-step explanation:

1. 9 = 2a + 3 ; 3

Let's solve for a.

9 - 3 = 2a (subtraction property of equality)

6 = 2a

\frac{6}{2} = a (division property of equality)

3 = a

a = 3

Therefore, 3 is a solution to 9 = 2a + 3

2. 5n - (-30) = 5 ; 7

5n + 30 = 5 (- × - = +)

5n = 5 - 30 (Subtraction property of equality)

5n = -25

\frac{5n}{5} = \frac{-25}{5} (division property of equality)

n = -5

Therefore, 7 is not a solution of 5n - (-30) = 5

3. 4.4r - 2.8 = 1.6 ; 1

4.4r = 1.6 + 2.8

4.4r = 4.4

\frac{4.4r}{4.4} = \frac{4.4}{4.4}

r = 1

Therefore, 1 is a solution of 4.4r - 2.8 = 1.6.

5 0
3 years ago
Over the summer, Regan started studying Russian with an app and completed 5 lessons. Now that school has started, she will work
anastassius [24]

Answer:

y=x+5

Step-by-step explanation:

if you mean how many she completed INCLUDING the 5 over the summer

5 0
2 years ago
True or False: Point estimation is a form of statistical inference in which, based on the sample data, we estimate the unknown p
storchak [24]

Answer:

True

Step-by-step explanation:

Point estimation of a population parameter provides an estimate of  a single value calculated from the sample that is likely to be close to its value to the unknown parameter. Itis to be noted that a point estimate will not in general be equal to the population parameter as the random sample used is one of the many possible samples which could be chosen from the population.

For example, in estimation, we may estimate the mean and the variance of a population by computing the mean and the variance of the sample drawn from a population.

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3 years ago
Which is the solution to the equation solved for p? (q + p)q = (s + r)s
Brums [2.3K]

Answer:

Option B

Step-by-step explanation:

(q + p)q = (s + r)s

Lets open the brackets of L.H.S.

=> q^2 + pq = (s+ r)s

Lets substract q² from both the sides.

=> q^2 + pq - q^2 = (s + r)s - q^2

=> pq = (s + r)s - q^2

Lets divide both the sides by q.

=> \frac{pq}{q} = \frac{(s + r)s - q^2}{q}

=> p = \frac{(s + r)s }{q} - \frac{q^2}{q} = \frac{(s + r)s}{q} - q

7 0
3 years ago
Please solve each equation & check your solution. Thank You!
Deffense [45]

Answer:

G). 1.2x + 7.92 -3.3x = 41

-2.1x=33.08

x = 33.08/-2.1

x = - 15.752

H). 3x/2 + 9/5 = 12

Multiply through by 10

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15x =120-18

15x = 102

x =102/15

x=34/5

I). 5 = 9/4 - r/3

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60 - 27 = -4r

33 = - 4r

r = -33/4

J). 2(x - 2) = 12

2x - 4 = 12

2x = 16

x = 16/2

x = 8

8 0
3 years ago
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