MATHEMATICS HIGH SCHOOL

Use the quadratic formula to solve x^2 + 9x + 10 = 0. Estimate irrational solutions to the nearest tenth. A {–3.6, 16.4}
B {–7.7, –1.3}
C {–25, 16}
D {–15.4, –2.6}

Answers

Answer 1
Answer: Basically, just plus your numbers into quadratic formula. A= 1, B= 9, C= 10.
The answer you will get is B.
Answer 2
Answer: x^(2) + 9x + 10 = 0 \nx = \frac{-(9) +/- \sqrt{(9)^(2) - 4(1)(10)}}{2(1)} \nx = (-9 +/- √(81 - 40))/(2) \nx = (-9 +/- √(41))/(2) \nx = (-9 +/- 6.4)/(2) \nx = (-9 + 6.4)/(2) \nx = (-2.6)/(2) \nx = -1.3 \n \nx = (-9 - 6.4)/(2) \nx = (-15.4)/(2) \nx = -7.7

It is equal to B.

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The Johnsons own a home whose market value is $93,000. Their municipality taxes at 80% and the rate is 65 mills or $65 per thousand. What will the Johnsons pay in taxes?

Answers

Answer: He paid $ 4836 in taxes.

Step-by-step explanation:

Here, the total value of the house = $ 93,000

And, the amount on which municipal taxes imposed = 80% of the value of house

= 80% of 93000

=  0.8 × 93000

= $ 74,400

Now, the tax rate is $65 per thousand,

⇒ \text{The amount of tax for 1000 dollars }= \$ 65,

⇒ \text{The amount of tax for 1 dollar}=(65)/(1000)

⇒  \text{The amount of tax for 74400 dollars}=(74400* 65)/(1000)

=(4836000)/(1000)

=\$ 4836

Thus, he paid $ 4836 in taxes.

Answer:

6760

Step-by-step explanation:

80% x 93000 = 74400

74.4 x 65 = 6760

2. Solve for x. SHOW YOUR WORK.

Answers

Answer:

x=9

Step-by-step explanation:

The two labelled angles are equal, so we can construct an equation. Then, we solve the equation for x.

4x+2=7x-25\n2=3x-25\n3x=27\nx=9

First, we subtract 4x from both sides. Next, we add 25 to both sides. Finally, we divide both sides by 3.

What is the answer for 3{5[10+5(500-100)+399]}

Answers

Okay. Handle 500-100 first. That brings it to 3{5[10+5(400)+399]}. Next, Handle 5(400). That brings you to 3{5{10+2,000+399]}. Then handle all the addition. That leads to 3[5(2,409)]. Next, configure 5(2409). That leads to 3(12045). Then do that one which ends as 36,135 for a final answer.
Handle 500-100 first. That brings it to 3{5[10+5(400)+399]}. then Handle 5(400). That brings you to 3{5{10+2,000+399]}. next handle all the addition. That brings you to 3[5(2,409)]. Next, configure 5(2409). That gives you 3(12045). Then do that one which ends as 36,135 for a final answer.qx

When dividing each of the numbers $$3759$$ and $$4139$$ by some positive integer number, the remainder happened to be equal to $$16$$. What is the smallest possible value of the divisor?

Answers

Answer:

The smallest possible value of the divisor is 19

Step-by-step explanation:

The given numbers for division are;

3759 and 4139, the remainder = 16

Let x represent the number

Therefore, we have;

x > 16

x is a factor of 3759 - 16 = 3743, and x is also a factor of 4139 - 16 = 4123

The factors of 3743 obtained from an online resource are 1, 19, 197, 3759

The factors of 4123 obtained from an online resource are 1, 7, 19, 31, 133, 217, 589, 4123

The common factors of 3743 and 4123 are 1, 19

Given that x > 16, we have, x = 19

Therefore, the smallest possible value that will divide both 3759 and 4139 whereby the remainder is 16 = 19

Solve for m.

m/4 - 6 = 10

(SHOW YOUR WORK)

Answers

Answer:

The answer to your question is m = 64

Step-by-step explanation:

Equation

                          (m)/(4) - 6 = 10

Process

1.- Add 6 to both sides

                          (m)/(4) - 6 + 6 = 10 + 6

2.- Simplify

                          (m)/(4) = 16

3.- Multiply both sides by 4

                          4(m)/(4) = 16(4)

4.- Simplify and result

                                            m = 64

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Answers

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