Solve the following system of equations. What is one x-value of a solution? f(x)=x^(2)+7x-24 g(x)=-3x-40

Answers

Answer 1

One x- value of the solution is : -2 or -8

What is an equation?

An Equation is an algebraic statement that shows that two quantities are equal.

Analysis:

for one x-value of a solution, f(x) = g(x)

[tex]x^{2}[/tex] + 7x -24 = -3x - 40

[tex]x^{2}[/tex] +7x +3x -24 +40 = 0

[tex]x^{2}[/tex] + 10x +16 = 0

[tex]x^{2}[/tex] +8x +2x +16 = 0

x(x+8) +2(x+8) = 0

(x+2)(x+8) = 0

x = -2 or -8

In conclusion, the values of x are -2 or -8

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Related Questions

In the diagram below, line d is parallel to line c.




Which statement is true?


A

m∠1+m∠2=162∘


B

m∠1+m∠2=172∘


C

m∠1+m∠2=180∘


D

m∠1+m∠2=188∘

Answers

Answer:

85° = ∠x {corresponding angles}

∠x = ∠1 {vertically opp. angles}

And, ∠2 + 103° = 180° ( co-interior angles)

∠2 = 180° - 103°

∠2 = 77°

Now, m∠1 + m∠2 = 85° + 77°

= 162°

Hemce, option A. is the right answer.

Which is the graph of f(x) = (2)* ?
a graph

Answers

I assume you meant to type f(x)=2^x.

If y varies inversely as x, and y = 58 when x = 9, find y when x = 261.

Answers

Answer:

2

Step-by-step explanation:

y=k/x

58=k/9

k=58×9

k=522

y=522/x

when x=261

y=522/261

y=2

All of the details to the question are in the picture that is attached in this question, please help

Answers

Answer: 10

The arc length of the semicircle is

a+(a+1)+(a+2)+(a+3)+(a+4)=5a+10

As x = 42, this means a+4 is 42/180 of the arc length of the circle, 5a+10.

So,

(42/180)(5a+10)=a+4

42(5a+10)=180(a+4) [multiply both sides by 180]

210a+420=180a+720 [distributive property]

30a+420=720 [subtract 180a from both sides]

30a=300 [subtract 420 from both sides]

a=10 [divide both sides by 30]

answer?...................

Answers

Step-by-step explanation:

please mark me as brainlest

Answer:

135

Step-by-step explanation:

2x²/x + x(100 - 15x)

If x = 5 ;

2(5)²/5 + 5(100 - 15×5)

= 2×25/5 + 5(100 - 75)

= 2 × 5 + 5 × 25

= 10 + 125

= 135

Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and the distance she rides is represented by the variable d. This relationship is modeled with distance d as a function of time t.

Which statements are true of the scenario? Select two answers..

The independent variable, the input, is the variable d, representing distance.
The distance traveled depends on the amount of time Marlene rides her bike.
The initial value of the scenario is 16 miles per hour.
The equation t = d + 16 represents the scenario.
The function f(t) = 16t represents the scenario.

Answers

A function assigns the values. The correct option is B and E.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Given Marlene rides her bike at a rate of 16 miles per hour. Therefore, Marlene Speed is  16 miles/hour. Now if speed is 16 miles/hour, then time is the independent variable and distance is the dependent variable. And the speed is the slope of the function, therefore, the statements that are true of the scenario are,

The distance traveled depends on the amount of time Marlene rides her bike.

The function f(t) = 16t represents the scenario.

Hence, the correct option is B and E.

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Answer:

B and E

Step-by-step explanation:

correct on Edge

The function f(x) is shown on the graph.
-181x
15
12-
Hr)
-9-
6-
3-
-3
T
3
9
12-
10
18+
If f(x) = 0, what is x?
O 0 only
O -6 only
O-2, 1, or 3 only
O-6, -2, 1, or 3 only

Answers

Answer: -6

Step-by-step explanation:

What order do I put the numbers in

Answers

We have following associations:

m ∠ADC + m ∠CDB = 180° → Definition of linear pair∠ADC is supplementary to ∠CDB → Definition of supplementary angles 2 · m ∠BDC = 180° → Substitution property of equalitym ∠BDC = 90° → Division property of equality

How to complete the proof of a geometric theorem

In this question we need to fill the blanks of a given proof by understanding and taking advantage of the most important axioms and theorems of Euclidean geometry and real algebra. In this case, a linear pair is the combination of two angles whose sum equals 180°, and those angles are always supplementary.

Thus, we have following associations:

m ∠ADC + m ∠CDB = 180° → Definition of linear pair∠ADC is supplementary to ∠CDB → Definition of supplementary angles 2 · m ∠BDC = 180° → Substitution property of equalitym ∠BDC = 90° → Division property of equality

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What is the value of f(1)?

0
1
2
4

Answers

Answer:

Solution*-1

Step-by-step explanation:

because 1 is the value of (1)

Which number has a repeating decimal form?
O A.
[tex] \sqrt{15} [/tex]

OB.
[tex] \frac{11}{25} [/tex]

O C.
[tex] \frac{3}{20} [/tex]

O D.
[tex] \frac{2}{6} [/tex]

Answers

Answer:

D. [tex] \frac{2}{6} [/tex]

Step-by-step explanation:

2÷ 6 = 0.33333

As you can see 3 is repeating.

Therefore [tex] \frac{2}{6} [/tex] as repeating decimal form.

Consider the following graph.

Which statement best describes Cheryl's commute?

A. Cheryl accelerated to 65 mph, made a stop for 5.5 minutes, and then decelerated to 45 mph.
B. Cheryl accelerated to 65 mph, drove at a constant speed for 5.5 minutes, and the decelerated to 45 mph.
C. Cheryl drove at a speed of 65 mph for 1 minute, drove at a constant speed for 5.5 minutes, and then drove at a speed of 45 mph for 2.5 minutes.
D. Cheryl drove at a speed of 65 mph for 1 minute, made a stop for 5.5 minutes, and then drove at a speed of 45 mph for 2.5 minutes

Answers

The statement best describes Cheryl's computer is option C. Cheryl accelerated to 65 mph, drove at a constant speed for 5.5 minutes, and then decelerated to 45 mph.  

How to find the function which was used to make graph?

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

If we know that the function crosses the x-axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

Let's assume the graph of Cheryl's commute was like the one below.

We can see that she started at 0 mph.  

One minute later, she was up to 65 mph, so she had accelerated (increased her speed).

At 6.5 min (5.5 min later) her speed was still 65 mph therefore, she was driving at a constant speed.

Over the next 2.5 min, her speed dropped to 45 mph, therefore she was decelerating.

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Drag each tile to the correct box.

A certain kind of bacteria multiplies at a rate of 150 percent per hour. When a person’s blood has 45,000,000 of these bacteria, the person will fall sick. Let’s suppose 100 such bacteria entered a person’s blood. How many hours will it take for the person to become sick? Arrange the steps in the right order to show how to find the number of hours it will take for the person to fall sick.

Answers

The steps arranged in the right order are:

45,000,000 = [tex]100(1 + 1.5)^{t}[/tex]

45,000,000 = [tex]100(2.5)^{t}[/tex]

450,000 = [tex](2.5)^{t}[/tex]

log 450,000 = log [tex](2.5)^{t}[/tex]

log 450,000 = log t (2.5)

[tex]\frac{log 450,000}{log 2.5} = t[/tex]

5.632 / 0.3979 = t

t = 14.21 hours

What are the correct steps?

The equation that can be used to represent the growth rate of the bacteria is an exponential equation. The form of exponential equations is:

FV = P(1 + r)^t

Where:

FV = future value of the bacteria PV = present population r = rate of increase t = number of hours

45,000,000 = 100( 2.5)^t

t = log 450,000 / log 2.5

t = 14.21 hours

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A group of people were given a personality test to determine if they were Type A or Type B. The results are shown in the table below: Male Female Type A 65 85 Type B 38 12 Compare P(Male or Type B) with P(Male | Type B).
P(Male or Type B) > P(Male | Type B) P(Male or Type B) = P(Male | Type B) P(Male or Type B) < P(Male | Type B) There is not enough information.

Answers

The option second "P(Male or Type B) > P(Male |Type B)" is correct because P(Male or Type B) is 0.675 and P(Male |Type B) is 0.11.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have a table:

            Male      Female

Type A    65       85

Type B    38         12

Male type B =  Type B Male/Total Male

Female type B =  38/(65+38) = 12/103 = 0.11

Male or Type B= Male + Type B female/ total

= 103+12/(97+103)= 135/200 = 0.675

P(Male or Type B) > P(Male |Type B)

Thus, the option second "P(Male or Type B) > P(Male |Type B)" is correct because P(Male or Type B) is 0.675 and P(Male |Type B) is 0.11.

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What is the product of (6x^2 − 8)(9x^2 – x + 1)?

Answers

[tex](6 {x}^{2} - 8)(9 {x}^{2} - x + 1) \\ 54 {x}^{4} - 6 {x}^{3} + 6 {x}^{2} - 72{x}^{2} + 8x - 8 \\ 54 {x}^{4} - 6 {x}^{3} - 66 {x}^{2} + 8x - 8[/tex]

Hope it helps

please give brainliest

Find the inverse please tell me where to put the dots thanks

Answers

Answer:

Draw a line segment from (-7, -2) to (3, 8)

See the diagram below.

You do not have to draw the blue dashed line. It's there to show how the points reflect over.

=========================================================

Explanation:

The inverse will have us swap x and y. The point (x,y) becomes (y,x)

The endpoint (-2, -7) becomes (-7, -2)

Also (8,3) moves to (3, 8)

Visually, these points are being reflected over the line y = x to form the inverse. We only need to worry about the endpoints because 2 points is the minimum needed to form a straight line.

Check out the diagram below. The red segment is the inverse. The blue dashed line is the line y = x. You don't have to plot this line as it's just a visual tool to see what's going on. Your teacher likely will only want the red segment.

Since the original segment is parallel to y = x, the inverse is also parallel to the mirror line. All three lines are parallel.  

Richard has a debt of $45. Express it in the form of absolute value.

Answers

The absolute value of debt of $45 is 45 because a balance of $0 on an account means there is no debt, and a negative of 45 value represents the debt.

What is debt?

It is defined as the amount one party needs to pay to another party as the first party borrowed an amount that will be credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circumstances.

As we know,

The absolute value of a negative account balance is equal to the amount of debt. A balance of $0 on an account means there is no debt. Credit is shown by a positive account balance.

Richard has a debt of $45.

The negative of 45 value represents the debt.

-$45 = debt

Absolute value = |-45| = 45

Thus, the absolute value of debt of $45 is 45 because a balance of $0 on an account means there is no debt, and a negative of 45 value represents the debt.

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can someone please help mee(20 points and i will give brainliest!!!)

Answers

The vertex is the lowest/highest point, depending on if the parabola opens upwards or downwards.

So because the vertex opens upwards, we are looking for the lowest point which is at (2,-3).

Last week, you went to the water park with friends on Monday, Wednesday, and Friday. If you stayed at the water park 3.5 hours each of those days, how many hours did you spend at the water park last week?
A. 15 hours
B. 9 hours
C. 5.5 hours
D. 10.5 hours

Answers

Answer: D. 10.5 hours

Step-by-step explanation:

3 days, 3.5 hours each

3.5 * 3 = 10.5 hours

Answer:

D. 10.5

Step-by-step explanation:

3.5 x 3 = 10.5

Find the length of side BC.
Give your answer to 3 significant figures

Answers

Answer:

[tex]\huge\boxed{\sf BC = 19.4 \ cm}[/tex]

Step-by-step explanation:

Given:

θ = 71°

Adjacent = AB = 6.3 cm

Required:

Hypotenuse = BC = ?

We will use the trigonometric ratio of cos.

[tex]\displaystyle cos \theta = \frac{Adjacent}{Hypotenuse} \\\\cos \ 71 = \frac{6.3}{BC} \\\\0.33 = \frac{6.3}{BC} \\\\BC =\frac{6.3}{0.33} \\\\\boxed{BC = 19.4 \ cm}\\\\\rule[225]{225}{2}[/tex]

can someone please help mee

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:Domain = [-3, 1)[/tex]

[tex]\qquad \tt \rightarrow \:Range = [-5 , 4][/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Domain = All possible values of x for which f(x) is defined

[ generally the extension of function in x - direction ]

Range = All possible values of f(x)

[ generally the extension of function in y - direction ]

[tex] \large\textsf{For the given graph : } [/tex]

[tex]\qquad \tt \rightarrow \: domain = [ -3, 1)[/tex]

[tex]\qquad \tt \rightarrow \: range= [ -5,4][/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Suppose the mean height for men is 70 inches with a standard deviation of 2 inches. What percentage of men are more than 72 inches tall?

Answers

The percentage of men is more than 72 inches tall will be 0.15866.

What is the z-score?

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as

z = (x – μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

Suppose the mean height for men is 70 inches, with a standard deviation of 2 inches.

Then the percentage of men are more than 72 inches tall will be

z = (72 – 70) / 2

z = 1

The percentage of men is more than 72 inches tall will be

P(x > 72) = P(z > 1)

P(x > 72) = 1 – P(x < 72)

P(x > 72) = 1 – 0.84134

P(x > 72) = 0.15866

Thun, the percentage of men are more than 72 inches tall will be 0.15866.

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The function f(x) = − x^2+ bx +1 is shown in the graph. What is the value of b?

Answers

Answer:

b = 4

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

here ( h, k ) = (2, 5 ) , then

y = a(x - 2)² + 5

to find a substitute any point on the parabola into the equation

using (0, 1 ) then

1 = a(0 - 2)² + 5 ( subtract 5 from both sides )

- 4= a(- 2)²= 4a ( divide both sides by 4 )

- 1 = a

then

y = - ( x - 2)² + 5

   = - (x² - 4x + 4) + 5

    = - x² + 4x - 4 + 5

    = - x² + 4x + 1 ← in the form ax² + bx + c

with b = 4

Please help due in soon

Answers

1) Rotate triangle A 90° clockwise around O

C (5, 6) ⇒ D (1, 2)

2) Move triangle A' 6 spaces to the right

O (1, 6) ⇒ O' (7, 6)

D (1, 2) ⇒ D' (7, 2)

So Shape A ⇒ Shape B

Inventory was taken on Day 1, Day 2, Day 5, Day 6, and Day 7. Norris wants to know roughly what the inventory was on Day 3.

What should he do to estimate the inventory on Day 3?


He should use the value for Day 2 because it is closest in value to Day 3.


He should randomly pick a point near the fitted line where x=3.


He should evaluate the function f(x)=−1/3 x+4 for y=3.


He should evaluate the function f(x)=−1/3 x+4 for x=3.

Answers

Answer:

A

Step-by-step explanation:

guessing

He should evaluate the function f(x)=−1/3 x+4 for x=3  , Option D is the correct answer.

What in Interpolation ?

Interpolation is when the line of best fit is used to determine the value of a point that is within the range of plotted points.

It is given to find the value at Day 3 which lies in the range of the points used for plotting

The line for best fit is

f(x) = (-1/3)x +4

At x = 3

f(3) = (-1/3) * 3 +4

f(3) = -1+4 = 3

Therefore He should evaluate the function f(x)=−1/3 x+4 for x=3

Option D is the correct answer.

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the number of people with one type of flu doubles every day for several days what type of function represents this pattern

Answers

Answer:

The answer will be Exponential growth.

Please mark me as the brainliest.

Answer:

exponential growth

Step-by-step explanation:

The interior angle of the regular pentagon below measures 108°, and the
pentagon has rotational symmetry. What is the following measure of
an interior angle after a 90° rotation around the point of symmetry?

Answers

the answer is (108) i hope it works

FW = 6 units, X = 3 units, and Y = 5 units, what is the surface area of the figure?

Answers

The surface area of the figure is approximately: 178 units².

How to Find the Surface Area of a Figure?

The surface area of any figure is the area of all its faces.

Find the area of each face as shown below:

Area of base = w² = 6² = 36 units²

Area of the 4 rectangular faces = 4(6)(3) = 72 units²

Area of the 4 triangular faces = 4[1/2bh]

b = w = 6 units

h = √(y² + (w/2)²) = √(5² + (6/2)²) = 5.8 units

Area of the 4 triangular faces = 4[1/2(6)(5.8)] = 69.6 units²

Surface area = 36 + 72 + 69.6 ≈ 178 units²

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I just asked a question and this user name venus1234 deleted it for "Violating the Brainly Code" blah blah blah..............Here's the question. Points A and B are on a line with a slope that is . Point C is on the same line. Which could be the ratio of rise to run between points B and C? A. 9/12 B. 8/5 C. 14/17 D. 15/24 please hurry! :) thats all and I apparently "violated the code" I don't understand Isn't this a site for asking questions?

Answers

The ratio of rise to run between points B and C is the same as the slope of line AB

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Slope of a line = ratio of rise to run = rise / run

Hence:

The ratio of rise to run between points B and C is the same as the slope of line AB

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PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

3 , 6

Step-by-step explanation:

Answer: (2,-3), (2, -3)

Step-by-step explanation: Substitute 2 into each equation. See Attachment and don’t forget to check the work just in case ;)

If a || b and b I y then

Please help look at picture

Answers

Answer:

Abbly non of them your question is wrwon

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