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Sindrei [870]
3 years ago
8

What are the zeros of 2x^2+17x=-21

Mathematics
1 answer:
enyata [817]3 years ago
3 0

2x^2+17x+21=0\\D=17^2-4*2*21=121=11^2\\x_1=\frac{-17+11}{4} =-1,5\\x_2=\frac{-17-11}{4} =-7

zeros of 2x^2+17x=-21 are (-7;0) and (-1,5)

P.S. Hello from Russia

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Use the chart below to answer the following questions...
Scilla [17]

a) Smith family spend  \$11208 per year to raise their child from 5 to 18 years old.

b) If the family decides to send their child to a 4-year public college, they will spend \$7500 per year

c) Valnez family will be pay \$12517 per year to raise the child from birth to 18 years old

d) \$15714 is the cost per year of raising a child from birth to 18 years old, and paying for 4 years of private college

Step-by-step explanation:

Part a) How much will the Smith family spend per year to raise their child from 5 to 18 years old? Round to the nearest dollar.

The cost from 5 to 18 years old is $145,700

Per year cost will be:

Divide the total amount by the number of years from 5 to 18 years. i.e 18-5 = 13 years

Cost per year: \frac{145700}{13}

Cost per year:\$11208

So, Smith family spend  \$11208 per year to raise their child from 5 to 18 years old.

Part b) If the family decides to send their child to a 4-year public college, how much will they spend per year?

The cost of 4 year Public College $30,000

Cost per year: \frac{30000}{4}

Cost per year: \$7500

So, If the family decides to send their child to a 4-year public college, they will spend \$7500 per year

Part c) How much will the Valnez family pay per year to raise the child from birth to 18 years old

Cost from Birth to 5 years old $79,600

Cost from 5 to 18 years old $145,700

Total\,\,cost = \$79,600+\$145,700\\Total\,\,cost =\$225300

Total years: 18

Cost per year: \frac{225300}{18}

Cost per year: \$12517

Valnez family will be pay \$12517 per year to raise the child from birth to 18 years old

Part d) What is the cost per year of raising a child from birth to 18 years old, and paying for 4 years of private college? Round to the nearest dollar.

From birth to 18 years (found in part c)

Cost from birth to 18 years: $225300

Cost of 4-year Private College: $120,400

Total Cost: \$225300+\$120,400

Total Cost: \$345700

Total years: 18+4 = 22

Cost per year: \frac{345700}{22}

Cost per year: \$15714

\$15714 is the cost per year of raising a child from birth to 18 years old, and paying for 4 years of private college

4 0
3 years ago
Between which two consecutive integers does √53 lie?
GREYUIT [131]
Hey there :)

We can solve 2 ways: With a calculator and Without

With:
√53 = 7.28

Therefore this lies between 7 and 8

Without:
6² and 7² = 36 and 49
Still, the values are less than 53, which means √53 does not lie between 6 and 7

7² and 8² = 49 and 64
53 is between both values, therefore √53 lies between 7 and 8

Your answer will be option B) 7 and 8
8 0
3 years ago
I NEED HELP PLEASE, THANKS! :)
natka813 [3]

Answer:

Step-by-step explanation:

Cos θ =<u> u*v     </u>

             IuI *IvI

u * v = 7*(-1) + (-2)*2

       = -7 - 4

      = -11

IuI = \sqrt{7^{2}+(-2)^{2}}\\

    = \sqrt{49+4}\\\\

    = \sqrt{53}

I vI = \sqrt{(-1)^{2}+2^{2}}\\

     = \sqrt{1+4}\\\\

      = \sqrt{5}\\

Cos θ = \frac{-11}{\sqrt{53}*\sqrt{5} } \\\\

          = \frac{-11}{16.28}\\\\

   Cos θ = -0.68

θ = 132.5°

3 0
3 years ago
GIVING 50 PONTS TO THE CORRECT ANSWER!! NO LINKS!! ANSWER ALL 4
marysya [2.9K]

Answer:

See below

Step-by-step explanation:

The measure of all the arcs can be obtained by using 'Central angle and its corresponding arc theorem'.

1. The measure of arc AD is \boxed {105}\degree

2. The measure of arc ABC is \boxed {205}\degree

3. The measure of arc ADB is \boxed {190}\degree

4. The measure of arc BD is \boxed {85}\degree

5 0
3 years ago
Please help ASAP ! Right answer only.
marissa [1.9K]

Answer:

x + 4y

Step-by-step explanation:

(x∧2+8xy+16y∧2)∧(1/3) · (x+4y)∧(1/3) = ((x+4y)∧2 · (x+4y))∧(1/3) = ((x+4y)∧3)∧(1/3)=

= (x+4y)∧(3/3) = x+4y

Good luck!!!

6 0
3 years ago
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