15 points and show steps


Solve for x. Write the smaller solution first, and the larger solution second. -2x^2-9=-107

Answers

Answer 1

Answer:

x = -7 and x = 7

Step-by-step explanation:

[tex]-2x^2-9=-107\qquad\text{add 9 to both sides}\\\\-2x^2-9+9=-107+9\\\\-2x^2=-98\qquad\text{divide both sides by (-2)}\\\\\dfrac{-2x^2}{-2}=\dfrac{-98}{-2}\\\\x^2=49\to x=\pm\sqrt{49}\\\\x=-7\ \vee\ x=7[/tex]


Related Questions

! URGENT !
-1 3/5 ÷ (-2/3) = ?

Answers

Convert 1 3/5 to an improper fraction;

-1 × 5 + 3/5 ÷ -2/3

Simplify 1 × 5 to 5

-5 + 3/5 ÷ -2/3

Simplify 5 + 3 to 8

-8/5 ÷ -2/3

Use this rule: a ÷ b/c = a × c/b

-8/5 × 3/-2

Use this rule; a/b × c/d = ac/bd

-8 × 3/5 × - 2

Simplify 8 × 3 to 24

-24/5 × -2

Simplify 5 × -2 to -10

- 24/-10

Move the negative sing to the left

-(-24/10)

Simplify 24/10 to 12/5

-(-12/5)

Simplify brackets

12/5

Convert to a mixed fraction

= 2 2/5

a refrigerator has a variety of drinks the contents are shown below if one drink is picked randomly then which of the following is not true water 14 cola 28 lemonade 7​

Answers

Answer:

Where is the answer choices?

Step-by-step explanation:

pls help will give brainliest

Answers

the correct answer is the 3rd table.

What is the equation of the following line written in slope-intercept form?

A) y = 2/3 x - 13/3

B) y = 3/2x - 13/3

C) y = -2/3x - 13/3

Answers

Answer:

The correct answer option is C) y = -2/3x - 13/3.

Step-by-step explanation:

We are given a straight line graph with one known point and we are to find its equation.

We will take one more point on the line to find the slope.

(-5, -1) and (-2, -3)

Slope (m) = [tex]\frac{-3-(-1)}{-2-(-5)} =-\frac{2}{3}[/tex]

Now finding the y-intercept:

[tex]y=mx+c[/tex]

[tex]-1=-\frac{2}{3} (-5)+c[/tex]

[tex]c=-\frac{13}{3}[/tex]

Therefore, the equation of this line is y = -2/3x - 13/3.

Answer:Answer:

The correct answer option is C) y = -2/3x - 13/3.

Step-by-step explanation:

We are given a straight line graph with one known point and we are to find its equation.

We will take one more point on the line to find the slope.

(-5, -1) and (-2, -3)

Slope (m) =

Now finding the y-intercept:

Therefore, the equation of this line is y = -2/3x - 13/3.

Step-by-step explanation: Please mark me brainliest   PLEASE !!!!!!!!!!!!!!!!!!!

I tried to solve this but I still don’t understand

Answers

Answer:

B

Step-by-step explanation:

given

f(x) = 3x + 2

To evaluate f(5) substitute x = 5 into f(x) that is

f(5) = (3 × 5 ) + 2 = 15 + 2 = 17 → B

Plz help got it wrong show work plz

Answers

Answer: C) $1951.53

Step-by-step explanation:

[tex]A=P(1+r)^{t}[/tex]

A is amount accrued (final balance)P is the Principal (original amount deposited)r is the rate (in decimal form)t is the number of years

A=1500(1+0.068)⁴

  = 1500(1.068)⁴

  = 1951.53

You randomly draw a marble from a bag, record its color, and then replace it. You draw a blue marble 3 out of 50 times. What is the experimental probability that the next marble will be blue?

Answers

3/50 or 3 in 50

If 3 out of 50 marbles were blue then the probability of a marble being blue must be 3/50

Jamal performed an experiment flipping a coin. He did 10 trials and then his arm got tired. He recorded his results in the table. Based on the experimental probability, Jamal predicted that the number of times the coin lands heads up will always be greater than the number of times it lands tails up. What is the error in his prediction? He should have performed fewer trials before comparing them to the theoretical probability. He did not need to perform the experiment to compare theoretical and experimental probabilities. He should have subtracted the theoretical probability from the experimental probability. He did not perform enough trials to compare the theoretical and experimental probabilities.

Answers

Answer: ((( D )))He did not perform enough trials to compare the theoretical and experimental probabilities.

Step-by-step explanation:

Answer:

d on edu 2020

Step-by-step explanation:

Write an expression with 4 terms, containing the coefficients 3, 6, and 9.

Answers

Answer:

3x^2 + 6y - 9x +4

Step-by-step explanation:

How do I find the perimeter?

Answers

Answer:

8x³ - 5x² + 8x

Step-by-step explanation:

to solve the perimeter, you need to add all sides of the triangle together.

8x² + x³ + 2x² + 7x³ - 3x² + 6x

now, code all the similar variables:

8x² + + 2x + 7x³ - 3x² + 6x

8x² - 3x² = 5x²

+ 7x³ = 8x³

2x + 6x = 8x

so, put them all together:

5x² + 8x³ + 8x

but remember that the larger exponent comes first(just a rule)

so, it is : 8x³ - 5x² + 8x

plz give me a brainliesttt

If g(x) is the inverse of f(x), what is the value of f(g(2))?

Answers

Answer:

2

Step-by-step explanation:

If g(x) is the inverse of f(x)

f(g(x)) =x

This is the property of inverses.

Let x=2

f(g(2))=2

Answer:

C: 2

Step-by-step explanation:

its right on edg 2020

According to the bar graph, what is the unit of measurement for the experiment?
A) cent
B) gain
C) loss
D) toss

Answers

Answer:

Toss

Step-by-step explanation:

I just did the problem.

2d - 5 = 17

what is the value of d ?

Answers

2d-5=17

+5 +5

2d=22

*divide by 2 on each side

*2d cancels out

* 22 divided by 2d

The value of d=11

what are complex numbers?

Answers

Answer:

Pie is a complex number?

Step-by-step explanation:

3.14159265358979323846264338327950288419716939937510582097494459230781640628..............................

Answer:

2 + 3i is a complex number

Step-by-step explanation:

a complex number is a number of the form a + bi, where a and b are real numbers and i is an indeterminate satisfying i2 = −1. For example, 2 + 3i is a complex number.

Please help me with these questions​

Answers

Answer: 4x-5

Step-by-step explanation: g(f(x))

g(4x-3)

4x-3-2

4x-5

Answer:Hmmmmmmm

Step-by-step explanation:

i really hope i can help

I don’t understand this. Triangles abc and pqr are given. Triangle abc is congruent to pqr by sas. If angle abc=12x+2, angle pqr= 142-2x, ....

Answers

Answer:

The true statements:

- AB = 8

- x is seven units greater than y

- m∠ABC = 122°

Step-by-step explanation:

* One case of congruence is SAS that means

- If two sides and including angle between them in the first

 triangle equal to the corresponding sides and angle in the

 second triangle, then the two triangles are congruent

* In the problem

- Triangle ABC is congruent to triangle PQR using SAS case

* That means

- AB = PQ

- BC = QR

- m∠ABC = m∠PQR  

- Where angle ABC including angle between AB and BC

  and angle PQR is the including angle between PQ and QR

* Now we will use the information about the lengths of AB

 and PQ to find y, and use the measures of angles ABC and

 PQR to find x and then chose the correct answer

∵ m∠ABC = 12x + 2

∵ m∠PQR = 142 - 2x

∵ m∠ABC = m∠PQR

∴ 12x + 2 = 142 - 2x ⇒ collect the like terms

∴ 12x + 2x = 142 - 2

∴ 14 x = 140 ⇒ divide both sides by 14

x = 10

* Lets substitute this value of x to find the m∠ABC and m∠PQR

- m∠ABC = 12(10) + 2 = 120 + 2 = 122°

- m∠PQR = 142 - 2(10) = 142 - 20 = 122°

∵ AB = 5y - 7

∵ PQ = 3y - 1

∵ AB = PQ

∴ 5y - 7 = 3y - 1 ⇒ collect the like terms

∴ 5y - 3y = -1 + 7

∴ 2y = 6 ⇒ divide both sides by 2

y = 3

* Lets substitute this value of y to find the AB and PQ

- AB = 5(3) - 7 = 8 units

- PQ = 3(3) - 1 = 8 units

* Lets check the answer to chose the right answer

- 1st answer ⇒ AB = 8 (√)

- 2nd answer ⇒ m∠PQR = 140° (x)

- 3rd answer ⇒ y = 1 (x)

- 4th answer ⇒ x is seven units greater than y (√)

  ( x = 10 and y = 3 then x - y = 10 - 3 = 7)

- 5th answer ⇒ m∠ABC = 122° (√)

- 6th answer ⇒ PQ = 3 (x)

Answer:

A

D

E

Step-by-step explanation:

Classify the quadrilateral. Then find the value(s) of the variable(s).

Answers

Answer:

Its A

Step-by-step explanation:

The fourth term of a sequence is 14. Each term of the sequence is 8 less than the previous term. Which recursive formula represents the situation?

Answers

So

an=an+b

14=4a+b and a=-8

14=-32+b

b= 46

an=-8n+46

Answer with Step-by-step explanation:

[tex]a_{4}=14[/tex]

Each term of the sequence is 8 less than the previous term

⇒ [tex]a_{3}=14+8=22[/tex]

⇒ [tex]a_{2}=22+8=30[/tex]

⇒ [tex]a_{1}=30+8=38[/tex]

In general [tex]a_{n}=a_{n-1}-8,a_{1}=38[/tex]

Hence, recursive formula representing the situation is:

[tex]a_{n}=a_{n-1}-8,a_{1}=38[/tex]

Which is an example of a function?

A. The cost of a small dish of ice cream at an ice cream parlor and the height of the customer.

B. The time you spend at the library and the distance to the library.

C. The time it takes to drive to the ski resort and the speed drive.

D. The price of a one-year magazine subscription and the age of the subscriber.

Answers

the answer is a.cause a function is a mapping from a set of input to the output

Find the mean absolute deviation. Round to the tenth

Answers

Answer:

1) 1.8 round to tenths

Step-by-step explanation:

To find the mean absolute deviation we follow these steps:

Find the mean value by adding all data values and dividing by number of data valuesFind the absolute value of the difference between each data value and the mean: | data value – mean. | Divide the sum of the absolute values of the differences by the number of data values

1) 4,5,10,8,4,8,7,6

step 1

4+5+10+8+4+8+7+6 / 8 = 6.5

Mean (μ): 6.5

step 2

|4-6.5| + |5-6.5| + |10-6.5| + |8-6.5| + |4-6.5| + |8-6.5| +|7-6.5| + |6-6.5|  = 14

step 3

14 / 8 = 1.75  

Repeat these steps for other parts.

The graph below shows interest charges accrued on 4 different credit cards. Based on the graph, which credit card appears to have an introductory APR? A. Card 1
B.Card 2
C. Card 3
D.card 4

Answers

Answer:

The correct option is D.card 4

Step-by-step explanation:

Consider the provided graph.

The introductory APR is a discounted interest rate which credit card companies frequently give new customers after opening an account for a fixed number of months. Most credit cards on payments, balance transfers or both offer discounted APRs.

The graph of card 4 is showing that the interest rate in Jan to Apr was lower, after Apr the interest rate increase with different slope.

Therefore, the correct option is D.card 4

Answer:

Card 4 i think

Step-by-step explanation:

PLEASE PLEASE HELP WILL GIVE POINTS AND MARK BRAINLIEST

Answers

Answer:

.167 is irrational.

2/9 is rational.

pi is irrational.

sqrt225 is rational.

Step-by-step explanation:

Why .167 is irrational because it is a decimal.

2/9 is rational because it is a fraction.

pi is irrational because it is a repeating decimal that goes on forever.

Why the sqrt225 is ration is because it comes out as a whole number 15 so it is rational.

Answer:

Step-by-step explanation:

i think the first one is ratinol the second one is ratinol the trid one is irratinol and the last one is irratinol hope i get brainlist witch will never happen any way hope this helps

#3. Find the area of the triangle. Round to 2 decimal places. Thanks.

Answers

Multiply 6*2 and get 12. Now divide by 2 and get 6. I think it’s c

Answer:

C

Step-by-step explanation:

The area (A) of the triangle is calculated using

A = [tex]\frac{1}{2}[/tex] ab sinC

where a, b are the 2 sides and C is the angle between them

here a = 6, b = 2 and C = 80°, hence

A = 0.5 × 6 × 2 × sin80° = 5.91 cm² → C

what is the measure of each angle of a non agon (Regular)​

Answers

[tex]\bf \textit{sum of all interior angles in a regular polygon}\\\\ n\theta =180(n-2)~~ \begin{cases} n=\textit{number of sides}\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ n=9 \end{cases}\implies 9\theta =180(9-2) \\\\\\ 9\theta =1260\implies \theta =\cfrac{1260}{9}\implies \theta =140[/tex]

convert 0.00687 into scientific notation​

Answers

Answer:

6.87^-3

Step-by-step explanation:

Answer:

6.87 x 10-3

Step-by-step explanation:

In scientific notation all numbers are written in the form of m×10n (m times ten raised to the power of n), where the exponent n is an integer, and the coefficient m is any real number, called the significand or mantissa. If the number is negative then a minus sign precedes m (as in ordinary decimal notation).

Select all the expressions equivalent to 3.1⁴.

Answers

Answer:

A, B, D

Step-by-step explanation:

[tex]3.1^4=(3.1)(3.1)(3.1)(3.1)\to\boxed{A}\\\\3.1^4=[(3.1)(3.1)](3.1)(3.1)=(9.61)(3.1)(3.1)\to\boxed{B}\\\\3.1^4=[(3.1)(3.1)][(3.1)(3.1)]=(9.61)(9.61)\to\boxed{D}[/tex]

Final answer:

Equivalent expressions to 3.1⁴ involve raising 3.1 to the power of 4. This means 3.1 is multiplied by itself four times, not three times (which would be cubing). The equivalent expression would result from multiplying 3.1 by itself four times.

Explanation:

The equivalent expressions to 3.1⁴ involve the operation of raising a number to a power. In this case following the number 3.1, the exponent of 4 means that 3.1 is being multiplied by itself four times, and it is not the same as cubing. The cubing of exponentials refers to the process of raising a number to the power of three or multiplying the number by itself three times. The commutative, associative, and distributive laws can be applied to simplify and rewrite exponential expressions. Therefore, to find an equivalent expression for 3.1⁴, you would need to multiply 3.1 by itself four times.

Learn more about Cubing of Exponentials here:

https://brainly.com/question/239851

#SPJ3

How do I solve this?

Answers

Answer:

The answer is D

Step-by-step explanation:

all you have to do is trace the triangle and see/.

The correct answer is D my baby

solve this equation
5(-7x-3)- 8x=-230​

Answers

Simplifying

5(7x + -3) = 230

Reorder the terms:

5(-3 + 7x) = 230

(-3 * 5 + 7x * 5) = 230

(-15 + 35x) = 230

Solving

-15 + 35x = 230

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '15' to each side of the equation.

-15 + 15 + 35x = 230 + 15

Combine like terms: -15 + 15 = 0

0 + 35x = 230 + 15

35x = 230 + 15

Combine like terms: 230 + 15 = 245

35x = 245

Divide each side by '35'.

x = 7

Simplifying

x = 7

Triangle ABC ≅ DEF. Each side of triangle ABC is 1.5 times longer than the corresponding sides of triangle DEF. If the perimeter of triangle ABC is 36 centimeters, what is the perimeter of triangle DEF?

Answers

Answer:

Step-by-step explanation:

see attachment

Final answer:

The perimeter of triangle DEF is 24 centimeters.

Explanation:

The perimeter of a triangle is the sum of the lengths of its three sides. In this case, triangle ABC is congruent to triangle DEF, and each side of triangle ABC is 1.5 times longer than the corresponding side of triangle DEF. Let's assume the lengths of the corresponding sides of triangle DEF are x, y, and z. Therefore, the lengths of the corresponding sides of triangle ABC are 1.5x, 1.5y, and 1.5z.

Since the perimeter of triangle ABC is 36 centimeters, we can set up the equation as follows: 1.5x + 1.5y + 1.5z = 36. Simplifying the equation, we get x + y + z = 24. This means the perimeter of triangle DEF is 24 centimeters.

find the slope of the line throught each points (-19,1),(-1,-14)​

Answers

Answer:

[tex]\large\boxed{m=-\dfrac{5}{6}}[/tex]

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (-19, 1) and (-1, -14). Substitute:

[tex]m=\dfrac{-14-1}{-1-(-19)}=\dfrac{-15}{18}=-\dfrac{15}{18}=-\dfrac{5}{6}[/tex]

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