Given g(x) = x4 + 2x3 - 7x2 - 8x + 12. When g(x) is divided by x - 1, which conclusion about g(x) is true?

1.9(1) = 0
2.9(-1) = 0
3.x + 1 is a factor of g(x).
4. No conclusion can be made regarding g(x).

Answer:

yeah its totally true, it happened from me to

answer

the answer is true

Answer:

a

Step-by-step explanation:

Selling Treasury bills and bonds in the loanable funds market to finance the deficit lowers the real interest rate and increases the quantity of loanable funds in the United States.

In the loanable funds market, the government's action of selling Treasury bills and bonds to finance its deficit will affect the equilibrium real interest rate and quantity of loanable funds. By increasing the supply of loanable funds, the government's actions will shift the supply curve to the right. This will result in a lower equilibrium real interest rate (lower cost of borrowing) and an increase in the equilibrium quantity of loanable funds.

The initial equilibrium point (1) will no longer be valid due to the shift in the supply curve. The new equilibrium point (2) will be at a lower real interest rate and a higher quantity of loanable funds. This demonstrates how the government's borrowing activity impacts the market by increasing the availability of funds for investment purposes.

Overall, the government's sale of Treasury bills and bonds in the loanable funds market lowers the real interest rate and increases the quantity of loanable funds in the United States.

To learn more about interest rate click here

brainly.com/question/32615546

#SPJ11

Answer:

EF ≈ 35.4 yards

Step-by-step explanation:

to find EF use the sine ratio in the right triangle, that is

sin40° = \(\frac{opposite}{hypotenuse}\) = \(\frac{EF}{DF}\) = \(\frac{EF}{55}\) ( multiply both sides by 55 )

55 × sin40° = EF , then

EF ≈ 35.4 yards ( to the nearest tenth )

The solution to given inequality 2(4x + 1) < 3(2x - 3) is x < -11/2

In this question, we have been given an inequality  2(4x + 1) < 3(2x - 3)

We need to solve given inequality.

2(4x + 1) < 3(2x - 3)                          ..............(Given inequality)

8x + 2 < 6x - 9               .............(simplify both sides of the inequality)

8x + 2 - 6x < 6x - 9 - 6x             ............(subtract 6x from both the sides)

2x + 2 < -9

2x + 2 - 2 < -9 - 2                       ............(subtract 2 from each side)

2x < -11

2x/2 < -11/2                               ................(Divide each side by 2)

x < -11/2

Therefore, the solution to given inequality 2(4x + 1) < 3(2x - 3) is x < -11/2

Learn more about an inequality here:

https://brainly.com/question/19003099

#SPJ1

Answer:

IT´S TRUE!!!

Step-by-step explanation:

The behavior of the graph of a polynomial function when the leading coefficient of an odd degree polynomial is greater than zero is the polynomial's final behavior will be "down" on the left and "up" on the right.

In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1. Expressions that contain variables of various intensities, non-zero coefficients, positive exponents (of variables), and constants are known as polynomial functions. For instance, the polynomial in "b" of degree 2 is f(b) = 4b² - 6.

Given,

The behavior of the graph of a polynomial function when the leading coefficient of an odd degree polynomial is greater than zero is:

This odd-degree polynomial's end behavior will resemble that of a positive cubic because its leading coefficient is positive. As a result, the polynomial's final behavior will be "down" on the left and "up" on the right.

To learn more about polynomial function, visit:

https://brainly.com/question/12976257

#SPJ4

The ratio of the median weekly earnings of the holder of a high school diploma only to the median weekly earnings of the holder of a bachelor's degree is approximately 0.67.

The median weekly earnings of the holder of a high school diploma only is approximately 0.67 times the median weekly earnings of the holder of a bachelor's degree. According to the Bureau of Labor Statistics in 2020, the median weekly earnings of a person with a high school diploma only was $712, while the median weekly earnings of a person with a bachelor's degree was $1,062. This indicates that the median weekly earnings of the holder of a high school diploma only is about two-thirds of the median weekly earnings of the holder of a bachelor's degree. This large discrepancy in earnings highlights the importance of higher education in ensuring a more secure and higher paying job.

$712 (High School Diploma) / $1,062 (Bachelor's Degree) = 0.67

Learn more about median here

https://brainly.com/question/28060453

#SPJ4

Answer:

c = -4

Step-by-step explanation:

8/-2 = -4

A) Yes , there is there sufficient evidence in the sample data to support the claim that the mean water temperature is not acceptable at α.

Hypothesis test for the given  population mean :

The claim is that the mean water temperature is significantly below 100 °F.

Then, the null and alternative hypothesis are:

H0 : Ц = 100

H1 : Ц < 100

The significance level is 0.05.

The sample has a size n=9.

The sample mean is M=98.

The standard deviation : σ=2

Standard error = 0.667

Z = -3

Therefore,  P-value (0.001) is smaller than the significance level (0.05)

The null hypothesis is rejected.

The hypothesis that there is no significant difference between specified populations, any observed difference being due to sampling or experimental error is known as null hypothesis.

To learn more about null hypothesis

https://brainly.com/question/14190722

#SPJ4

Answer:

SQUARE= 108 blocks

CIRCLE= 97.97

# OF BUNDLES= 2.05, 3

Step-by-step explanation:

square- find perimeter

circle-

number of bundles = 205/100 =2.05, so 3

Answer:

Step-by-step explanation:

To get from blue to red you need to multiply the blue dimensions by 1.5.

4*x = 6       Divide by 4

x = 6/4

x = 1.5

The surface area is a different ball game.

SA of the blue figure

Surface area of 1 side = 4 *  4 = 16

The total surface area = 16* 6 = 96

SA of the red figure

Surface area of 1 face = 6*6

Surface area of  6 faces = 6 * 36 = 216

So what's the ratio ?

Ratio = red surface area/ blue surface area

Ratio = 216 / 96 = 2.25

Notice that if you square the dimensional ratio, you get the area ratio

1.5^2 = 2.25

a a car accelerates, then maintains its speed before speeding up again

The final simplified expression for the derivative of h(z) is h'(z) = (-4z^3)/(b^4 - z^4).

To differentiate the function h(z) = ln[(b^2 - z^2)/(b^2 + z^2)], we can use the quotient rule and the chain rule of differentiation.

Rewrite the function:

h(z) = ln[(b^2 - z^2)/(b^2 + z^2)]

= ln(b^2 - z^2) - ln(b^2 + z^2)

Apply the chain rule for the first term:

d/dz [ln(b^2 - z^2)] = 1/(b^2 - z^2) * (-2z)

= -2z/(b^2 - z^2)

Apply the chain rule for the second term:

d/dz [ln(b^2 + z^2)] = 1/(b^2 + z^2) * (2z) = 2z/(b^2 + z^2)

Combine the derivatives:

h'(z) = -2z/(b^2 - z^2) + 2z/(b^2 + z^2)

Now, we can simplify the expression if desired, but this is the final result of differentiating the function h(z) = ln[(b^2 - z^2)/(b^2 + z^2)] with respect to z.

To further simplify the expression for the derivative of

h(z) = ln[(b^2 - z^2)/(b^2 + z^2)], we can combine the terms with a common denominator.

Recall that the common denominator of -2z/(b^2 - z^2) and 2z/(b^2 + z^2) is (b^2 - z^2)(b^2 + z^2).

So, we can rewrite the expression as follows:

h'(z) = (-2z(b^2 + z^2) + 2z(b^2 - z^2))/[(b^2 - z^2)(b^2 + z^2)]

Simplifying further:

h'(z) = (-2zb^2 - 2z^3 + 2zb^2 - 2z^3)/[(b^2 - z^2)(b^2 + z^2)]

Combining like terms:h'(z) = (-4z^3)/[(b^2 - z^2)(b^2 + z^2)]

The derivative of h(z) simplifies to:

h'(z) = (-4z^3)/(b^4 - z^4)

So, the final simplified expression for the derivative of h(z) is h'(z) = (-4z^3)/(b^4 - z^4).

Learn more about derivatives here, https://brainly.com/question/12047216

#SPJ11

Answer:

it is b.

Step-by-step explanation:

hope this helps

Answer:

a.) terry didn't line up the triangle correctly. 4/y = 20/18

b.) (20+16)/18

Step-by-step explanation:

for part a, you have to make sure the angles line up correctly (the angle with one tick mark lining up with the angle with one tick mark, the angle with two tick marks lining up with the angle with two tick marks, etc.)

for part b.) you just put the proportional lengths of the bigger triangle in for the lengths of the smaller triangle.

Answer:

Step-by-step explanation:

To compare the ages of voters who voted Republican to those who voted Democrat, Evan would need to collect data on the ages of voters from both groups. He can then calculate measures of central tendency (such as the mean and median) and measures of variability (such as the range and standard deviation) for each group and compare them.

If Evan thinks that there will be greater variability in the ages of voters who voted Democrat, he may want to use a measure of variability such as the standard deviation to compare the spread of ages in each group. A larger standard deviation would indicate greater variability in the ages of voters in that group.

Evan could also create a box plot for each group to compare the distribution and variability of ages in each group. The box plot would show the median, quartiles, and outliers for each group, allowing for a visual comparison of the spread of ages in each group.

know more about central tendency: brainly.com/question/28473992

#SPJ11

The cost of the insurance bought by Patten is $82.69.

From the information, the cos of Mr. Patten’s car insurance increased by 5% to $86.82 per month.

It should be noted that the increase can be illustrated as:

= 100% + 5%

= 105%

Therefore, 105% of x is $86.82

where x = old cost

This will be:

105% of x is $86.82

1.05x = 86.82

Divide

x = 86.82 / 1.05

x = 82.69

The insurance was $82.69.

Learn more about percentages on:

brainly.com/question/24304697

#SPJ1

The area of the computer chip is 2.44 x 10^-15 square units

The area of a shape is the amount of space on the shape

The dimensions of the computer chip are given as

7.18 x 10^-7 and 3.4 x 10^-9

The area of the computer chip is the product of the dimensions of the computer chip

So, we have

Area = Length x Width

This gives

Area = 7.18 x 10^-7 x 3.4 x 10^-9

Rewrite as

Area = 7.18 x 3.4 x 10^-7 x 10^-9

Evaluate the products

Area = 24.412 x 10^-16

Rewrite as

Area = 2.4412 x 10^-15

Approximate

Area = 2.44 x 10^-15

Hence, the area of the computer chip is 2.44 x 10^-15 square units

Read more about areas at

https://brainly.com/question/25292087

#SPJ1

There are total of 152 students in 5th grade, then the number of pencils altogether will be equal to 2,736 pencils.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

Total number of students in 5th grade = 152

Amount of pencil each student have = 18

Then, the total number of pencils altogether,

= 152 × 18

= 2,736 pencils.

To know more about arithmetic operations:

https://brainly.com/question/13585407

#SPJ1

Using percentages we can conclude that 95% of votes that is 2,314 votes (B) cannot be guaranteed which is 1,023 votes more than the projected 53% winning votes (1,291 votes).

So, candidate A has a projection of winning 53% votes.

A sample of 2436 voters is pulled, then:

Can candidate A be guaranteed 95% votes which are:

Difference: 2,314 - 1,291 = 1,023

Therefore, using percentages we can conclude that 95% of votes that is 2,314 votes (B) cannot be guaranteed which is 1,023 votes more than the projected 53% winning votes (1,291 votes).

Know more about percentages here:

https://brainly.com/question/9553743

#SPJ13

Answer:

See below.

Step-by-step explanation:

a) y = 2x + 3 and y = -2x + 11

 One solution.  They are straight lines with different slopes, so they will intersect at some point.  

b) y = x + 2 and -2x + 2y = 4

  -2x + 2y = 4 can be rearranged to 2y = 2x +4 and then y = x + 4

    Both lines have the same slope, 1.  They are parallel and will never meet.  No solutions.

c) y = x - 3 and y = x + 6

 This has the same answer as c.  Parallel lines (both have slopes of 1.).  They will never meet:  no solutions.

d) y = 7 and y =3x-5

One solution.  Straight lines with different slopes (3 and 0) so they will cross at one point.  [At (4,7)]

e) y = -4x and y = -4x - 1

Same slopes.  There are no solutions.

Answer:

7+3 = 10

Step-by-step explanation:

if I understand the problem strangeness right, and there is nothing missing in it, then this is the simple answer.

the difference of 12 and 9 is 12-9 = 3.

and then adding this 3 to 7 is 7+3 =10

Answer:

10

Step-by-step explanation:

The difference of 12 and 9 is 3.

Now,

If we add 7 to 3, the answer is 10.

Answer:

B) 50%

Step-by-step explanation:

300% is the same as 3. So to find 300% of 7 you do 3 times 7 and get 21.

Now you need to find _% times 42 = 21. Divide 21/42 to get 0.5. This is the same thing as 50%.

Hope it helps and have a nice day! :)

Answer: m angle ABC = 44

m angle CAG = 54

Step-by-step explanation:

Answer:

slope is 3

Step-by-step explanation:

10,17

7,8

8-17=-9

7-10=-3

-9/-3=3

Answer:

The correct answer is $75,900.

Step-by-step explanation: