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2 years ago

Which number line shows the solution to 11x + 14 < –8?

Mathematics

2 answers:

LUCKY_DIMON [66]2 years ago

7 0

Answer:

tis d

Step-by-step explanation:

tatiyna2 years ago

6 0

Answer:

Step-by-step explanation:

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3. Which of the following quadratic equations has no solution? A) 0 = −2(x − 5)2 + 3 B) 0 = −2(x − 5)(x + 3) C) 0 = 2(x − 5)2 +

klemol [59]

Answer:

D) 0 = 2(x + 5)(x + 3)

Step-by-step explanation:

Which of the following quadratic equations has no solution?

We have to solve the Quadratic equation for all the options in other to get a positive value as a solution for x.

A) 0 = −2(x − 5)2 + 3

0 = -2(x - 5) × 5

0 = (-2x + 10) × 5

0 = -10x + 50

10x = 50

x = 50/10

x = 5

Option A has a solution of 5

B) 0 = −2(x − 5)(x + 3)

Take each of the factors and equate them to zero

-2 = 0

= 0

x - 5 = 0

x = 5

x + 3 = 0

x = -3

Option B has a solution by one of its factors as a positive value of 5

C) 0 = 2(x − 5)2 + 3

0 = 2(x - 5) × 5

0 = (2x -10) × 5

0 = 10x -50

-10x = -50

x = -50/-10

x = 5

Option C has a solution of 5

D) 0 = 2(x + 5)(x + 3)

Take each of the factors and equate to zero

0 = 2

= 0

x + 5 = 0

x = -5

x + 3 = 0

x = -3

For option D, all the values of x are 0, or negative values of -5 and -3.

Therefore the Quadratic Equation for option D has no solution.

3 0

3 years ago

Given an exponential function for compounding interest, A(x) = P(.91)^x, what is the rate of change?

Marina CMI [18]

The confirmed correct answer is -9%. Trust me.

7 0

3 years ago

Read 2 more answers

A mirror is in the shape of an isosceles right triangle and has a hypotenuse length of seven times the square root of two. What

frez [133]

The length of one of the legs of an isosceles right triangle and has a hypotenuse length of seven times the square root of two is 7 units.

<h3>What is an Isosceles triangle?</h3>

Isosceles triangles are triangles that has two of it sides equal to each other. The base angles of an isosceles triangle are equal.

The isosceles triangle is also a right angle triangle. The hypotenuse is the longest side of a right angle triangle.

Therefore,

hypotenuse = 7(√2)

let the length of the other legs = x

Therefore, using Pythagoras theorem

c² = a² + b²

(7(√2))² = x² + x²

49 × 2 = 2x²

98 = 2x²

x² = 98 / 2

x = √49

x = 7 units

learn more on isosceles triangle here: brainly.com/question/10412877

4 0

2 years ago

Question 3<br> Solve this system by using the elimination method.<br> 4x + 2y = 8<br> 5x + 3y = 9

umka21 [38]

Answer:

x=3, y=-2. (3, -2).

Step-by-step explanation:

4x+2y=8

5x+3y=9

---------------

simplify 4x+2y=8 into 2x+y=4

-----------------

2x+y=4

5x+3y=9

----------------

y=4-2x

5x+3(4-2x)=9

5x+12-6x=9

-x=9-12

-x=-3

x=3

2(3)+y=4

6+y=4

y=4-6

y=-2

7 0

3 years ago

You deposit $400 each month into an account earning 8% interest compounded monthly. Round to the nearest cent as needed. a) How

Debora [2.8K]

If I deposit $400 each month into an account earning 8% interest compounded monthly, I will have $6,517 in my account in 35 years. The total money that I will put into the account is $168,000. I will earn a total compound interest of $6,117.

Calculating the Sum of Money in 35 years

Given information is as follows,

Principal, P = $400

Rate = 8%

Time, T = 35 years

n = 12 (Compounded monthly)

The amount for compound interest is given as,

A = $P\frac{(1+\frac{R}{n} )^{nT} -1}{R/n}$

A = $400\frac{(1+\frac{0.08}{12} )^{12.35} -1}{0.08/12}$

A = 6,517.02

A = $6,517 (to the nearest cents)

Calculating the Amount Put in Account

Since, $400 is deposited every month for 35 years,

Amount Put in 35 years for this compound interest =$400 × 12 × 35

= $168,000

Calculating the Compound Interest

A = P + CI

Thus, the compound interest is given by,

CI = A - P

CI = 6517 - 400

CI = $6,117

I will earn a total interest of $6,117

Learn more about compound interest here:

brainly.com/question/14295570

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7 0

1 year ago