13 - 7(-2 - 8)
Please solve! :) Will be marking brainliest!!

Required true statements are B, C, D, G, H, I, L, M.

What is factor?

In mathematics, factors refer to the numbers that can be multiplied together to obtain a given number. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12.

Based on the given factors, we can conclude that:

f(x) has a factor of 3, which means that 3 is a root/solution of f(x).

f(x) has a factor of (2x-1), which means that 2x-1=0 or x=1/2 is a root/solution of f(x).

f(x) has a factor of (x+5), which means that x+5=0 or x=-5 is a root/solution of f(x).

Using these facts, we can determine which statements are true:

A) -1/2 is not a root/solution of f(x). (False)

B) We can check if this expression is equivalent to f(x) by factoring it:

6x² - 33x - 15 = 3(2x² - 11x - 5) = 3(x - 5)(2x + 1).

This shows that f(x) has factors of 3, (2x-1) and (x+5), so this statement is true.

C) -5 is a root/solution of f(x). (True)

D) 3 is a root/solution of f(x). (True)

E) We can check if this expression is equivalent to f(x) by factoring it:

2x²+9x-5 = (2x - 1)(x + 5), which is not the same as the factors given for f(x), so this statement is false.

F) 0 is not necessarily a root/solution of f(x), since the factors given do not guarantee that f(x) intersects the x-axis at 0. (False)

G) We can check if this expression is equivalent to f(x) by factoring it:

6x²+27x-15 = 3(2x²+9x-5) = 3(2x-1)(x+5), which shows that f(x) has the same factors as this expression, so this statement is true.

H) 1/2 is a root/solution of f(x). (True)

I) 5 is a root/solution of f(x). (True)

J) We can check if this expression is equivalent to f(x) by factoring it:

2x²-9x-5 = (2x + 1)(x - 5), which is not the same as the factors given for f(x), so this statement is false.

K) -3 is not necessarily a root/solution of f(x), since the factors given do not guarantee that f(x) intersects the x-axis at -3. (False)

L) To find the x-intercepts of f(x), we need to set f(x) equal to zero and solve for x:

f(x) = 3(x + 5)(2x - 1) = 0

This equation has roots of x=-5 and x=1/2, which means that the x-intercepts of f(x) are (-5, 0) and (1/2, 0). So, this statement is true.

M) To find the x-intercepts of f(x), we need to set f(x) equal to zero and solve for x:

f(x) = 3(x + 5)(2x - 1) = 0

This equation has roots of x=-5 and x=1/2, which means that the x-intercepts of f(x) are (-5, 0) and (1/2, 0).

So, this statement is true.

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Subtract the number at the baseball game from the hockey game:

2058 - 1300 = 758

There was 758 more people at the hockey game.

Answer:

758 more fans were there

Step-by-step explanation:

Difference = Hockey fans - Baseball fans

= 2058 - 1300

= 758

This might not be right

 one is y= 2x-3 and number two is y=-x-1

1) first you convert 4x-2y=3 into slope intercept form

y= 2x+ 3/2

then you change 3/2 to b

y=2x + b

then you plug in the point 2,1

(1)=2(2) + b

1=4+b

-3=b

after that you change the b in y=2x+b to -3

y=2x-3

2) after you convert it into slope intercept form (y=1x+b)

you have to change the x to a negative x because the line is perpendicular

y= -1x + b

then you plug in the point -3,2

2= -1(-3) + b

2= 3 + b

-1 = b

The length of opposite side is 34.5 meters. The length of opposite side is 132 feet. Therefore, the height of the plane above the level of the atoll is approximately 460 meters to the nearest meter.

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It is used to solve problems involving triangles, such as finding the unknown sides or angles of a triangle, or finding the distance or height of an object that is too far away to measure directly.

Here,

6. To find the horizontal distance Viola has covered, we need to use trigonometry. The angle of 9° is the angle between the hill and the horizontal, so we can use the tangent function:

tangent(9°) = opposite/hypotenuse

where the opposite side is the horizontal distance we want to find and the hypotenuse is the distance Viola has driven, which is 200 meters.

Solving for the opposite side, we get:

opposite = tangent(9°) x hypotenuse

opposite = tan(9°) x 200

opposite ≈ 34.5 meters

7. Using trigonometry again, we can find the height of the building. The angle shown in the diagram is the angle of elevation from the students' location to the top of the building, and the distance shown is the horizontal distance between the students' location and the base of the building. We can use the tangent function again:

tangent(angle of elevation) = opposite/adjacent

where the opposite side is the height of the building we want to find, and the adjacent side is the horizontal distance from the students to the building, which is given as 150 feet.

Solving for the opposite side, we get:

opposite = tangent(angle of elevation) x adjacent

opposite = tan(41°) x 150

opposite ≈ 132 feet

8. In this problem, we can use trigonometry to find the height of the plane. We know the angle of depression from the plane to the atoll is 7°, which means the angle of elevation from the atoll to the plane is also 7°. We also know the horizontal distance from the plane to the atoll is 3,729 meters. Let h be the height of the plane above the level of the atoll. Then we can set up the following equation using the tangent function:

tan(7°) = h / 3,729

Solving for h, we get:

h = 3,729 * tan(7°)

Using a calculator, we get:

h ≈ 460 meters

9. In this problem, we can use trigonometry to find the height of the pole. Let h be the height of the pole above the ground, and let d be the horizontal distance from the surveyor to the base of the pole. Then we can set up the following right triangle:

The opposite side is the height of the pole h.

The adjacent side is the horizontal distance d = 140 feet.

The angle of elevation to the top of the pole is 44°.

We can use the tangent function to find the height of the pole:

tan(44°) = h / 140

Solving for h, we get:

h = 140 * tan(44°)

Using a calculator, we get:

h ≈ 157 feet

10. In a 30°-60°-90° triangle, the sides are in a ratio of 1:√3:2, where the hypotenuse is twice the length of the shorter leg. Let x be the length of the shorter leg, then the longer leg is x√3 and the hypotenuse is 2x. In this problem, we are given that the hypotenuse has a length of 18, so we can set up the following equation:

2x = 18

Solving for x, we get:

x = 9

Therefore, the shorter leg has a length of 9, and the longer leg has a length of 9√3.

The perimeter of the triangle is the sum of the lengths of its sides, so we have:

Perimeter = 9 + 9√3 + 18

Using the fact that √3 ≈ 1.732, we can simplify this expression to:

Perimeter ≈ 9 + 9(1.732) + 18

Perimeter ≈ 9 + 15.588 + 18

Perimeter ≈ 42.588 meters

Therefore, the perimeter of the triangle is approximately 42.588 units.

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Volume of the pyramid is 4390.74 and base area is 439.07 cubic inches.

The given figure is a hexagonal pyramid.

The base of the pyramid is hexagon.

We have to find the base of the pyramid by formula :

Base area = 3√3/2a²

Where a is the base length.

Base area = 3√3/2(13)²

= 3√3/2 ×169

=439.07 square inches.

Volume =√3/2b²h

h is height which is 30 in and b is base length of 13 in.

Volume =√3/2×169×30

=√3/2×5070

=2535×√3

=4390.74 cubic inches.

Hence, volume of the pyramid is 4390.74 and base area is 439.07 cubic inches.

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Answer:

2: 15

3: 20

for the second chart

0: -2

2: 8

4: 18

6: 28

I hope this helped :))

i hope this is correct '~'

The equation of the parabola with the given information is (x - 1)^2 = 2(y - 1).

To find the equation of a parabola with a vertex and directrix, we can use the standard form of the equation for a vertical parabola:

(x - h)^2 = 4p(y - k)

Where (h, k) represents the vertex coordinates, and p is the distance between the vertex and the directrix.

Given that the vertex is (1, 1) and the directrix is x = 3/2, we can determine the value of p as follows:

The directrix is a vertical line with the equation x = 3/2. The distance between the vertex (1, 1) and the directrix x = 3/2 is the horizontal distance, which is the difference between the x-coordinates:

p = |3/2 - 1| = |-1/2| = 1/2

Now we can substitute the values of h, k, and p into the equation to obtain the final equation:

(x - 1)^2 = 4(1/2)(y - 1)

Simplifying further:

(x - 1)^2 = 2(y - 1)

Thus, the equation of the parabola with the given information is (x - 1)^2 = 2(y - 1).

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The pound of Red Delicious apples that he bought more is 31. pounds.

Amount of pounds of Fuji apples bought = 4.54

Amount of pounds of Red Delicious apples = 6.8

Amount of pounds of Golden Delicious apples = 3.7

The amount of pounds of Red Delicious apples than Golden Delicious apples that he buy will be the difference between the values. This will be:

= 6.8 - 3.7.

= 3.1 pounds.

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Answer:

63.75

Step-by-step explanation:

Answer:

21.25

Step-by-step explanation:

1/4 = 0.25 or 25%

because 0.25 is less than one, dividing will acually be mutiplying. So we have to mutiply to divide. 8*0.25 = 21.25.

answer is 21.25

Answer:

No.

Step-by-step explanation:

To find the y value, one must replace x value, meaning that it's a multi step problem and it's not direct because y=exact value is not given

The y-intercept of a line in the xy-plane is (0,1) as shown in attached graph given int the question.

To find the y-intercept of a line in the xy-plane, we need to find the point where the line intersects the y-axis. The y-axis is the vertical axis that runs through the origin and is perpendicular to the x-axis. This means that the y-intercept is the value of y when x is equal to zero. Therefore, we can read off the y-intercept directly from the equation of the line. To find the y-intercept of a line in the xy-plane, we need to find the point where the line intersects the y-axis. The y-axis is the vertical axis that runs through the origin and is perpendicular to the x-axis.

In the given graph we can see that the line intersects the point 1 on y axis.

Therefore, y-intercept of a line in the xy-plane is (0,1).

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Answer:

   1/2

Step-by-step explanation:

The ratio of interest is ...

  (1/2 cm)²/(1/2 cm²) = (1/4)/(1/2) = 1/2

One-half centimeter squared is half of 1/2 square centimeter.

Answer:

18.8

Step-by-step explanation:

Answer: Hi The Answer is 3 (the third one)

Step-by-step explanation: Am not sure if this is correct am taking the test right now

Answer:

all real numbers

Step-by-step explanation:

Florida

The limit definition of a derivative is a mathematical method used to calculate the instant rate of change of a characteristic at a particular point. it is based at the idea of the limit of a function because the input techniques a certain cost.

The limit definition of a derivative is expressed as follows:

\(f'(x) = lim (h → 0) [f(x + h) - f(x)] /h\)

Wherein f'(x) represents the derivative of the function f(x) at a particular factor x. The expression \(( f(x + h) - f(x)) / h\) represents the common price of alternate of the characteristic over a small interval of size h, focused at x. The limit of this expression as h approaches 0 represents the instant fee of change of the characteristic at x, or the slope of the tangent line to the function at that factor.

The limit definition of a derivative is a fundamental concept in calculus and is used to calculate the slopes of tangent lines, to find maximum and minimum factors, and to clear up optimization issues in a huge variety of packages.

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Answer:

The answer would be the second one.

Step-by-step explanation:

The answer is this because 65% as a decimal is .65 and the second equation is the only one with a .65 in it. It is also the only equation with 24 in it as well.

Answer:

Step-by-step explanation:

When two normal distributions have the same standard deviation, but different means, the distribution with the higher mean will be shifted to the right of the distribution with the lower mean. This means that the distribution with the higher mean will have more values that are larger than the mean, while the distribution with the lower mean will have more values that are smaller than the mean.

To sketch what these distributions might look like, let's assume that both distributions have a standard deviation of 1, but one distribution has a mean of 5 and the other has a mean of 7. We can use a normal distribution graph to represent each of these distributions.

The graph for the distribution with a mean of 5 would look like this:

```

     ^

     |

 0.4 |                      *

     |                   *  

 0.3 |                *

     |              *

 0.2 |           *

     |         *

 0.1 |      *

     |   *

   0 +-------------------------------->

            -3  -2  -1  0  1  2  3  4  5

```

The graph for the distribution with a mean of 7 would look like this:

```

     ^

     |

 0.4 |                                *

     |                            *  

 0.3 |                         *

     |                       *

 0.2 |                    *

     |                  *

 0.1 |               *

     |            *

   0 +-------------------------------->

            -3  -2  -1  0  1  2  3  4  5  6  7

```

As you can see, both distributions have the same shape, but the distribution with the higher mean is shifted to the right. The peak of the distribution with the higher mean is also higher than the peak of the distribution with the lower mean. This is because the higher mean indicates that the values in this distribution are generally larger than the values in the other distribution.

Answer:

B, C, D

Step-by-step explanation:

7x + 1 + 105 = 180

7x = 74

x = 74/7

4y + 14 + 7y + 1 = 180

11y = 165

y = 15

m<A = 4y + 14 = 4(15) + 14 = 74°

m<B = 7x + 1 = 7(74/7) + 1 = 75°

m<C = 7y + 1 = 7(15) + 1 = 106°

Answer: B, C, D

Answer:

the box diagonal is about 41.68

Step-by-step explanation:

yes the bat will fit but not by much

Answer:

Proportionality constant = \(\frac{3}{2}\)

Step-by-step explanation:

Let y ∝ x

y = kx

Here, k = proportionality constant

From the table attached,

If x = 2 and y = 3,

3 = 2k

k = \(\frac{3}{2}\)

If x = 4 and y = 6,

6 = 4k

k = \(\frac{6}{4}\)

k = \(\frac{3}{2}\)

Since, k = \(\frac{3}{2}\) is constant in every condition, table represents the proportional relation with proportionality constant \(\frac{3}{2}\).

Step-by-step explanation:

Use z-score table to find the z-score that corresponds to .7000   ( 70%)

approx   .525   s.d.  above the mean

  .525  * 10 =  5.25  points above 100   = 105.25

To calculate the Loan to Value (LTV) ratio, we divide the loan amount by the purchase price of the property and express the result as a percentage. LTV = 80%

Given: Purchase price of the building: $8,000,000 Loan amount: $6,400,000 LTV = (Loan amount / Purchase price) * 100 LTV = ($6,400,000 / $8,000,000) * 100 LTV = 0.8 * 100 LTV = 80%

Therefore, the Loan to Value (LTV) ratio in this scenario is 80%. This means that the bank has provided a loan equivalent to 80% of the purchase price of the building.

The remaining 20% of the purchase price, which is $1,600,000 in this case, would be the down payment or equity contribution made by the borrower. Correct answer is 80%

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Answer:

a=2

Step-by-step explanation:

Answer:

The answer is 162.5

Step-by-step explanation:

you divide 2 by 3 and then figure out how many examples where given to find the average and multiply by that much and you get the answer.

Answer:

-3x + 4

Step-by-step explanation:

The constant amount of capital amortization for the loan is approximately 166,667.67 pesos.

To calculate the constant amount of capital amortization, we divide the total loan amount (2 million pesos) by the loan term in periods (3 years * 4 quarters per year = 12 periods). This gives us an amortization of approximately 166,667.67 pesos.

Next, we calculate the interest for each period. The interest is calculated based on the outstanding balance of the loan at the beginning of each period and the annual interest rate. Since the loan is paid quarterly, we divide the annual interest rate by 4 to get the quarterly interest rate.

The interest for each period is then calculated by multiplying the outstanding balance by the quarterly interest rate. For example, in the first period, the outstanding balance is 2 million pesos, and the interest is 2,000,000 * 0.056 / 4 = 28,000 pesos.

To determine the evolution of the balance and amortized capital, we can create an amortization schedule. In the first period, the balance is 2 million pesos, and the amortized capital is the constant amount of capital amortization (166,667.67 pesos).

The balance for the next period is calculated by subtracting the amortized capital from the previous balance and adding the interest for that period. The process is repeated for each period until the loan is fully paid off.

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Answer:

If you can buy four bulbs of garlic for $8, then with $32, you can buy 4 times as many bulbs. That means buying 4 * 4 = 16 garlic bulbs for $32.

Answer:

16 garlic bulbs for 32

Step-by-step explanation:

you can buy 4 times as many