Help, Please!
Determine the solution to f(x) = g(x) using the following system of equations: (5 points)

f(x) = 3x + 12
g(x) = −9.5x − 13

Select one:
a. x = −2
b. x = −3
c. x = 4
d. x = 5

Answer:

2

Step-by-step explanation:

f(x)=2x^2+9x-5

When we are find how many times it intersects the x axis, we are finding the zero's. Set the equation equal to zero

0=2x^2+9x-5

Factor the equation

0 = (2x+1) (x-5)

2*1

1*-5 = -5

2*-5 +1*1 = -9

This checks for the first last and middle terms so we factored correctly

Then using the zero product property

2x+1 = 0 and x-5 =0

2x = -1    x=5

x = -1/2  and x=5

This function crosses the x axis 2 times

Answer:

[tex]\large\boxed{\dfrac{8}{9}n-\dfrac{4}{3}}[/tex]

Step-by-step explanation:

[tex]\dfrac{4}{9}(2n-3)\qquad\text{use the distributive property}\\\\=\left(\dfrac{4}{9}\right)(2n)+\left(\dfrac{4}{9}\right)(-3)=\dfrac{8}{9}n-\dfrac{4}{3}[/tex]

Equivalent expression are the equation which have the same identical solution for the variable but the way of representation is different. The given expression in the problem is equivalent to the,

[tex]f(n)=\dfrac{8}{9}n -1\dfrac{1}{3}[/tex]

Thus the option 4 is the correct option.

The given expression [tex]f(n)[/tex] is,

[tex]f(n)=\dfrac{4}{9} (2n-3)[/tex]

Equivalent expression are the equation which have the same identical solution for the variable but the way of representation is different.

Open the bracket of above equation by multiplying the fraction with the numbers inside the bracket.

[tex]f(n)=\dfrac{4\times 2n}{9} -\dfrac{4\times 3}{9}[/tex]

[tex]f(n)=\dfrac{8n}{9} -\dfrac{12}{9}[/tex]

[tex]f(n)=\dfrac{8n}{9} -\dfrac{4}{3}[/tex]

Fraction 4/c can be written as the mixed number. Thus,

[tex]f(n)=\dfrac{8}{9}n -1\dfrac{1}{3}[/tex]

Hence the given expression in the problem is equivalent to the,

[tex]f(n)=\dfrac{8}{9}n -1\dfrac{1}{3}[/tex]

Thus the option 4 is the correct option.

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Answer:

[tex]\large\boxed{x=\pm\sqrt{13}}[/tex]

Step-by-step explanation:

[tex]10x^2-6=144\qquad\text{add 6 to both sides}\\\\10x^2=130\qquad\text{divide both sides by 10}\\\\x^2=13\to x=\pm\sqrt{13}[/tex]

Answer:

the answer is b

Step-by-step explanation:

because the angle of 45 with the x and the answer once the graph have the number we can find the expressopm

Answer:

2

Step-by-step explanation:

Answer:

multiply.0325 and 12,500 to get commission

Answer:

11

Step-by-step explanation:

63.40 - 19.95 = 43.45

43.45/3.95 = 11

Answer:

11 CDs

Step-by-step explanation:

took it on progress learning got it right :)

ANSWER

[tex]x = 4[/tex]

and

[tex]y = - 1[/tex]

EXPLANATION

Line s has equation:

y=x-5

And line t has equation:

[tex]y = - \frac{3}{4}x + 2[/tex]

We equate the two equations to get:

[tex]x - 5 = - \frac{3}{4} x + 2[/tex]

Multiply through by 4

[tex]4x - 20 = - \frac{3}{4} x \times 4 + 2 \times 4[/tex]

[tex]4x - 20 = - 3 x + 8[/tex]

[tex]4x + 3x = 8 + 20[/tex]

7x=28

[tex]x = \frac{28}{7} = 4[/tex]

[tex]y = 4 - 5 = - 1[/tex]

Answer:

(4, -1) is the solution of the system of equations.

Step-by-step explanation:

A system of equations consists of a line y = x - 5 and a line passing through two points (0, 2) and (8, -4)

And the equation of that passes through these points will be [tex]y=-\frac{3}{4}x+2[/tex]

Now we have to find the solution of the system of linear equations.

By equating both the equations

x - 5 = [tex]-\frac{3}{4}x+2[/tex]

Now we multiply this equation by 4

4(x - 5) = -3x + 4×2

4x - 20 = -3x + 8

4x + 3x = 8 + 20

7x = 28

x = 4

Now we put x = 4 in the equation y = x - 5

y = 4 -5

y = -1

Therefore, (4, -1) is the solution of the system of equations.

Answer:

Therefore, the plant that grew at a faster rate would be Megan’s at 2.5 inches per week.

Step-by-step explanation:

Megan's rate = 12 - 4.5 / 4 -1 = 2.5 inches per week

Suzanne's rate = 11 - 5 / 4-1 = 0.5 inches per week

Without the actual growth measurements, we cannot make a comparison or identify which plant grew faster.

Using the examples:

Suzanne's plant grew at a faster rate (1.5 inches/week) compared to Megan's plant (1 inch/week).

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To determine whose plant grew at a faster rate and what was the rate, we need information about the growth of their plants over the four-week period.

Without this information, we cannot determine the rate of growth or compare the rates of growth of their plants.

Assuming that we have the required information about their plant growth, we can compare the rates of growth of their plants by calculating the average weekly growth rate of each plant.

The plant with a higher average weekly growth rate grew at a faster rate.

For example:

If Megan's plant grew by 4 inches over four weeks, its average weekly growth rate would be:

The average weekly growth rate of Megan's plant = (Total growth in 4 weeks) / (Number of weeks)

= 4 inches / 4 weeks

= 1 inch/week

Similarly,

If Suzanne's plant grew by 6 inches over four weeks, its average weekly growth rate would be:

The average weekly growth rate of Suzanne's plant = (Total growth in 4 weeks) / (Number of weeks)

= 6 inches / 4 weeks

= 1.5 inches/week

In this example:

Suzanne's plant grew at a faster rate (1.5 inches/week) compared to Megan's plant (1 inch/week).

Thus,

Without the actual growth measurements, we cannot make a comparison or identify which plant grew faster.

Learn more about expressions here:

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Answer:

The sample undercuts the population of nestings

Step-by-step explanation:

The sample undercounts the population of nestlings would be a reasonable inference to make about the sample option, fourth is correct.

It is described as a collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it.

We have:

The population mean of a sample of the nest counts is 28 examples of 6 – 9 nestlings, with a standard deviation of 3.

We have given reasonable inference to make about the sample:

As per the data given, we can say that The sample undercounts the nestling population.

Thus, the sample undercounts the population of nestlings would be a reasonable inference to make about the sample option fourth is correct.

Learn more about the population and sample here:

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Answer:

£480

Step-By-Step Explanation:

x = the original price of a computer

£x = 100% of the original price

The price of a computer was decreased by 30% to £336.

This means:

£336 = 100% - 30%

£336 = 70% of the original price

From this, we will find 1% of the original price.

£336 ÷ 70 = 1%

£4.8 = 1%

Since the original price ( x ) = 100% of the original price, we will find 100% of the original price.

£4.8 × 100 = 100%

£480 = 100%

Therefore, the original price of a computer = £480

Answer:its c

Step-by-step explanation:

becuase you cant have a overdrawn bank becuase if you do you have to pay that and the fine.

The true statement about credit cards is that interest is charged if the balance is not paid each month (Option B). Credit cards provide a short-term loan, unlike debit cards, which draw directly from your bank account.

Credit cards work by providing a short-term loan from the credit card company to the user. If the balance is not paid each month, interest is charged on the remaining amount. This is different from debit cards, where money is immediately withdrawn from the user's bank account when making a purchase.

Therefore, option B is correct

Answer:

-5/6

Step-by-step explanation:

in order for a line to be parallel to the other it must have the same slope (angle)

The slope of a line parallel to a line with a slope of -[tex]\frac{5}{6}[/tex] is also −[tex]\frac{5}{6}[/tex], as parallel lines have identical slopes to demonstrate a consistent rate of change.

The question concerns the concept of parallel lines in coordinate geometry. When two lines are parallel, they have the same slope. Therefore, a line parallel to another line with a slope of −[tex]\frac{5}{6}[/tex] will also have a slope of −[tex]\frac{5}{6}[/tex]. This value reflects the consistent rate of change in the y-value per unit of change in the x-value along the line.

It's important to remember that this slope is unchanging for a given straight line, as it represents the regression line: a summary of the average relationship between two variables in a scatter diagram.

Answer:  2nd answer

Step-by-step explanation:

Kevin should have used a 4 in the numerator because there are 2 red sections and 2 green sections.

The mistake that kevin make is:

It was given that there are 10 sections in the spinners 2 of each color.

Hence, in order to find the probability that the spinner lands on green or red is:

He need to find the total sections which are red or green,.

There are 4 sections which are red or green

( Since 2 are green and 2 are red)

and the probability that it will land on green or red is:

        [tex]=\dfrac{4}{10}\times 180\\\\\\=72[/tex]

Hence, she should have taken 4 in the numerator to calculate the probability.

Answer:

Correct choice is D. [tex]y=-x+3[/tex].

Step-by-step explanation:

pick any two points from the table say (0,3) and (1,2)

Now we we can use both points to find the equation of line.

slope [tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{2-3}{1-0}=\frac{-1}{1}=-1[/tex]

now plug slope m=-1 and any point say (0,3) into point slope formula

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-3=-1\left(x-0\right)[/tex]

[tex]y-3=-1\left(x\right)[/tex]

[tex]y-3=-x[/tex]

[tex]y=-x+3[/tex]

Hence correct choice is D. [tex]y=-x+3[/tex].

Answer:

F = 7

Step-by-step explanation:

Euler's formula relating faces, edges, vertices is

V - E + F = 2

8 - 13 + F = 2

- 5 + F = 2

F = 5 + 2

F = 7

Answer:

She must sell as least 20 candles

Step-by-step explanation:

Sharon has 50 dollars

She makes 2 dollars per candle

Money in 50+2c

She needs at least 90

90≤ 50+2c

We need to solve this inequality

Subtract 50 from each side

90-50≤ 50-50+2c

40 ≤ 2c

Divide by 2

40/2 ≤ 2c/2

20 ≤ c

She must sell as least 20 candles

90-50=40 40 divided by 2 = 20. sharon needs to sell 20 candles

Answer:

0

Step-by-step explanation:

you substitute:

(x+y)= (-3+5)= (5-3)= 2(0)= 0

Answer: 48 Pints

Step-by-step explanation: Quarts are always half the number of pints so say if we had 48 pints, half of 48 is 24 so that is our answer..

-2/17 + 9i/17 fractions

Answer:

- [tex]\frac{2}{17}[/tex] + [tex]\frac{9}{17}[/tex] i

Step-by-step explanation:

Multiply the numerator/denominator by the complex conjugate of the denominator.

The conjugate of 1 - 4i is 1 + 4i

[tex]\frac{(2+i)(1+4i)}{(1-4i)(1+4i)}[/tex] ← expand factors

= [tex]\frac{2+9i+4i^2}{1-16i^2}[/tex] → i² = - 1

= [tex]\frac{2+9i-4}{1+16}[/tex]

= [tex]\frac{-2+9i}{17}[/tex]

= - [tex]\frac{2}{17}[/tex] + [tex]\frac{9}{17}[/tex] i

Answer:

D is false

Step-by-step explanation:

f(x) = -2x2 + 4x + 6 should be written with a " ^ " to indicate exponentiation:

f(x) = -2x^2 + 4x + 6.

Because of the - sign, we know that the graph of this function opens down, so there is a maximum at the vertex.  We can determine the x-value at the vertex by using the formula x = -b/(2a), which here is x = -4/(2*-2), or 1.

Evaluating f(x) = -2x^2 + 4x + 6 at x = 1, we get -2 + 4 + 6, or 8.  So statement A is true:  there's a max at (1, 8).  This is also the vertex of the graph.

Let's now look at C and D.  We evaluate f(x) at x = 3 and x - 2.  If the output (y) value is 0, we know we have an x - intercept:

f(3) = -2(9) + 4(3) + 6 = 0.  Yes, C is true, (3, 0) is an x-intercept.

f(-2) = -2(4) - 8 + 6 is not 0.  Therefore D is false; (-2, 0) is not an x-intercept.

Look at B:  Let x = 0 and find y:  it's 6.  Thus, (0, 6) is the y-intercept.  B is true.

Answer:

B) x + 12 < 8 − 3x

Step-by-step explanation:

Where’s the question though :/

Answer:

1. 1/4

2. 1/2

Step-by-step explanation:

If there are equal numbers of males and females, we can simplify that by saying there's one male and one female for each coat color.

1. What's the probability that both are males?

Well, there's a 1/2 chances the light-colored coat bear is a male and there's also a 1/2 chances the dark-colored coat bear is a male.  So, we can make this reference table:

Light             Dark

Male             Male

Male             Female

Female         Male

Female         Female

As you can see, the probability that both of the spotted bears are males is 1/4 (1/2 * 1/2).

2. If the light-colored bear, what are the odds both are males?

If we know for sure the light-one is male, then there's 1/2 chances the other is too, refer to the table above to verify.

Answer:

t=-148+1/1.5740740740741

Step-by-step explanation:

(t)=-0.32+2.7t+253

We move all terms to the left:

(t)-(-0.32+2.7t+253)=0

We add all the numbers together, and all the variables

t-(2.7t+252.68)=0

We get rid of parentheses

t-2.7t-252.68=0

We add all the numbers together, and all the variables

-1.7t-252.68=0

We move all terms containing t to the left, all other terms to the right

-1.7t=252.68

t=252.68/-1.7

t=-148+1/1.5740740740741

Answer: t=-148+1/1.5740740740741

Step-by-step explanation: (t)-(-0.32+2.7t+253)=0

                                              t-(2.7t+252.68)=0

                                               t-2.7t-252.68=0

                                                 -1.7t-252.68=0

                                                  -1.7t=252.68

                                                   t=252.68/-1.7

                                                     t=-148+1/1.5740740740741

The correct answer is B.

Distance = speed x 90

Answer:

It’s b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer: From the cup to the hand

Given that the cup of coffee is at 90°C and the person has a body temperature of 36°C.

We know that 36 < 90.

So the temperature of the person is less.

The heat will flow from the higher temperature towards the lower temperature.

So the heat should flow from the cup to the hand.

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Answer:

No solution

Step-by-step explanation:

When put in a graphing calculator, the lines are parallel and will never intersect, therefore there is no solution.

Option: A is the correct answer.

             A.  Graph A

Among the given graphs Graph A is such that both the ends of the graph goes in the same direction while in other they goes in opposite direction.

            Hence, the correct answer is:

                     Graph A

Answer:

option D

Lines a and b are parallel and lines c and d are parallel.

Step-by-step explanation:

Given in the question four lines a , b, c, d.

If two parallel lines (a,b) are cut by a transversal(d), then corresponding angles m<7 and m<15 are congruent.

They are know as corresponding angles.

Hence lines a and b are parallel.

If two parallel lines (c,d) are cut by a transversal(d), then corresponding angles m<13 and m<13 are congruent.

They are know as corresponding angles

Hence lines c and d are parallel

Answer:

it has to be a is parallel to b

Step-by-step explanation:

Answer:

yes you are

Step-by-step explanation: