Which of the binomials below is a factor of this trinomial?
x2 + 14x+ 40
2 + 10
Β. χ+ 4
C. x-9
D. χ + 14
SUBMIT

The Elijah have been on the soccer team for 8 years.

Step-by-step explanation:

Let,

Given that,

The boys have been on the soccer team for 10 years.

Number of years of Deaundre + Number of years of Eliijah = 10 years.

x + (5x-2) = 10

Keep x terms on one side and constants on another side to solve for x value :

6x = 10+2

6x = 12

x = 12/6

x = 2

The Deaundre have been on the soccer team for 2 years.

Substitute x=2 in (5x-2) to find the number of years of Elijah,

5(2)-2 = 8 years.

Therefore, the Elijah have been on the soccer team for 8 years.

Final answer:

The product 1/2 x 1/3 equals 1/6, which can be visualized using a two-dimensional model where a rectangle is divided into halves and then thirds, resulting in 1/6 of the total area.

Explanation:

The product 1/2  times 1/3 can be understood through a two-dimensional model. If you take a rectangle and divide it into 2 equal parts, taking 1/2 of the whole, and then divide one of those halves into 3 equal parts, taking 1/3 of that half, you will have 1 out of the 6 equal parts of the original rectangle, which is 1/6, the product of 1/2 and 1/3.

To visualize this process, imagine a bar or a piece of chocolate that is first divided down the middle, and then one of those halves is divided into 3 equal pieces.

Taking one of these smaller pieces represents 1/6 of the original chocolate bar. In mathematical terms, when we multiply fractions, we multiply the numerators ( 1 times 1) to get the numerator of the product, and the denominators (2 times 3) to get the denominator of the product, yielding 1/6 as the answer. This demonstrates the first partial product principle, where in this case the third vector (1/3) is multiplied by the scalar product of 1/2.

Answer:

the answer was 24

Step-by-step explanation:

Answer:

7a

Step-by-step explanation:

Answer:

1800ft tall

Step-by-step explanation:

Answer:

8. D 269.6

9. A 20 +10h

Step-by-step explanation:

8.  The large rectangle is 4+6.4+4+6.4 = 20.8 width and 10.5 length.  The area is

A = l*w = 20.8* 10.5 =218.4

The top rectangle is 6.4 width and length is 4

A = l*w =6.4*4 =25.6

The same is true for the rectangle on the bottom.

Add the three rectangles together to get the total surface area

218.4+25.6+25.6 =269.6

9. The plant is 20 inches tall

It grows 2h inches a week for 4 weeks

20 +2h*4

20 +8h

It grows h inches a week after  4 weeks

At 6 weeks, that is 2 weeks of growth

The growth is h *2

Add that to the previous total

20 +8h +2h

20 +10h

Answer:

0+7-4=3

Step-by-step explanation:

They started with none, hence the 0. "Gained" typically means addition, so you add seven. "Lost" is a signal word for subtraction, so subtract zero. It comes out to 4.

True statements are:

Step-by-step explanation:

We have the following statements to check on whether it's right or wrong:

1. It has a directrix of x = -4:

According to figure , parabola directrix is at -4 i.e. at x = -4 , Therefore this statement is true!

2. It opens to the left:

In figure, Parabola opens to right not left , Therefore this statement is wrong!

3. It has a vertex at the origin:

Vertex of Parabola is at what points not shown in figure. Therefore this statement cannot be confirmed as true.

4. The axis of symmetry is the y-axis:

Axis of symmetry for above parabola is x-axis as it cuts parabola into two equal halves , y-axis doesn't do this ! Therefore this statement is wrong!

5. It has a focus at (4, 0):

Parabola focus is at [tex]F(4,0)[/tex] on x-axis . And so, Therefore this statement is true!

1. True it has a directrix of x = -4; 2. False it opens to the left; 3. False it has a vertex at the origin; 4. True the axis of symmetry is the y-axis; 5. True it has a focus at (4, 0).

In this parabola, the given statements can be evaluated as follows:

1. Directrix : The given directrix is x = -4. The directrix of a parabola is a vertical line that is equidistant from all points on the parabola. In this case, the directrix is to the left of the origin, so it's possible that the parabola opens to the right.

2. Direction of Opening : The parabola cannot open to the left because the given directrix is to the left of the origin. Parabolas open towards their focus or away from their directrix. Since the directrix is to the left, the parabola opens to the right.

3. Vertex : The vertex is the point where the parabola changes direction. The origin (0, 0) is not the vertex in this case, as the parabola opens to the right.

4. Axis of Symmetry: The axis of symmetry is a vertical line that passes through the vertex and divides the parabola into two equal halves. Since the parabola opens to the right, its axis of symmetry is the y-axis.

5. Focus : The focus is a point inside the parabola that is equidistant to the vertex and the directrix. The focus should indeed be to the right of the vertex, and at a distance of 4 units, based on the given directrix

x = -4.

Mathematically, the equation of a parabola that opens to the right, with its vertex at the origin, is of the form:

[tex]\[x^2 = 4py\][/tex]

Given that the directrix is x = -4, the distance from the origin to the directrix is 4 units. So, the equation becomes:

[tex]\[x^2 = 16y\][/tex]

The focus is at a distance of p units from the vertex, where [tex]\(p = 4\)[/tex], so the focus is at (4, 0).

In summary, the given parabola opens to the right, has a vertex at the origin, its axis of symmetry is the y-axis, and its focus is at (4, 0), with a directrix of x = -4.

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Answer:

C. $34

Step-by-step explanation:

$58 is added every 2 hours so you just subtract that from $92 since $92 is the price of 2 hours and a full tank of gas.

Answer: The Answer is 100, sorry that you got it so late.

Step-by-step explanation:

What I did

1. Find the difference between the numbers

2. Look through answer choices

3. Because the difference of 80 and 75 was 5, 105 would be 100.

Sorry if this doesn't make sense.

The area of the triangle is 90 m²

Explanation:

Given that the base of the triangle is 15 m

The altitude of the triangle is 12 m

Area of the triangle:

The area of the triangle can be determined using the formula,

[tex]Area=\frac{1}{2}bh[/tex]

where b is the base and h is the altitude

Thus, we have,

[tex]b=15[/tex] and [tex]h=12[/tex]

Substituting the values in the above formula, we get,

[tex]Area=\frac{1}{2}(15)(12)[/tex]

Multiplying the terms, we get,

[tex]Area=\frac{180}{2}[/tex]

Dividing, we get,

[tex]Area=90 \ m^2[/tex]

Therefore, the area of the triangle is 90 m²

Answer:

24,48,72,96

Step-by-step explanation:

Multiples of 8

8, 16,24,32,40,48,56,64,72,80,88,96

Multiples of 12

12,24,36,48,60,72,84,96

Common multiples

24,48,72,96

Answer:

See below.

Step-by-step explanation:

"List all the multiples of 8 that are less than or equal to 100."

0, 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96

"List all the multiples of 12 that are less than or equal to 100."

0, 12, 24, 36, 48, 60, 72, 84, 96

Common multiples: 0, 24, 48, 72, 96

Answer:

9450 m³

Step-by-step explanation:

(S1/S2)³ = V1/V2

3³ = V1/350

New Volume = 27 × 350

= 9450 m³

Answer:

They paid $4.00 per ticket

Step-by-step explanation:

Step 1:  Convert words into an inequality

A family buys 6 tickets to a show. They also pay $3 parking fee. They spend $27 to see the show.

6t + 3 = 27

Step 2:  Solve for t/tickets

6t + 3 = 27

6t + 3 - 3 = 27 - 3

6t / 6 = 24 / 6

t = 4

Answer:  They paid $4.00 per ticket

Answer:

4

Step-by-step explanation:

3 - 27 = 24

24 ÷ 6 = 4

4 · 6 = 24

3 + 24 = 27

A = $27

Answer:

6/8

Step-by-step explanation:

3/4 = 6/8 = 9/12 and so on

Answer:

9/12

Step-by-step e

Answer:

[tex]QP=20\ units[/tex]

Step-by-step explanation:

The picture of the question in the attached figure

Let

O ---> the center of the circle

we have that

Line segment QP is tangent to the circle

That means

OQ (radius) is perpendicular to segment QP

OQP is a right triangle

Applying Pythagorean Theorem

[tex]OP^2=OQ^2+QP^2[/tex]

we have

The radius is equal to

[tex]r=24/2=12\ units[/tex] ----> the radius is half the diameter

[tex]OP=r+NP=12+11.5=23.5\ units[/tex]

[tex]OQ=r=12\ units[/tex]

substitute

[tex]23.5^2=12^2+QP^2[/tex]

[tex]QP^2=23.5^2-12^2[/tex]

[tex]QP^2=408.25[/tex]

[tex]QP=20\ units[/tex]

Answer:20 units

Step-by-step explanation:

Answer:

0.155

Step-by-step explanation:

Answer:

$0.15 per ounce

Step-by-step explanation:

2.48/16 = 0.155

Answer:

The last one

Step-by-step explanation:

volume is v= [tex]\pi r^{2} h[/tex] . this means volume is mathematical number pi, times the (radius squared), times the height. the radius is marked at the yellow line, and the height on the side. this means you would have v = [tex]\pi[/tex][tex](x+2)^{2}[/tex][tex](3x+8)[/tex]

first, lets work out [tex](x+2)^{2}[/tex]. we can rewrite this as (x+2)(x+2). we are going to use a system called FOIL. this stands for First Outside Inside Last. This means we are going to take the first number from both and multiply them together, then the outside, inside, and last. so, for first, we will multiply x and x and then we have [tex]x^{2}[/tex], for outside we multiply x and 2 and we get [tex]2x[/tex], for inside we multiply 2 and x and we get [tex]2x[/tex], and for last we multiply 2 and 2 and we get [tex]4[/tex]. then we add all these together. [tex]x^{2} + 2x + 2x + 4[/tex]. then simplify like terms to get

[tex]x^{2} + 4x + 4[/tex]. now, we can't forget about our times [tex]\pi[/tex] and (3x+8)

this means we have to multiply [tex]x^{2} + 4x + 4[/tex] by those two.

it would look like this: ([tex]x^{2} + 4x + 4[/tex])(3x+8)[tex]\pi[/tex]

so now we are going to multiply the other two sets of parentheses

we multiply each number from the first set to each number in the second set.

Answer:

(- 8, - 4 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (- y, x ), thus

(- 4, 8 ) → (- 8, - 4 )

hey bro, what do you mean by this question?

do you want to convert 9.60 dollars into pounds? if so then right now the exchange rate for dollars to pounds is 0.80. So you will do this (0.80)(9.60)=7.68

If you mean pounds like how much something weighs then all you need to do is just divide 9.60 by 4 = 2.4 which means $2.4 per pound.

Answer:

.199 or 20% (.20)

Step-by-step explanation:

Percentage change:

p=(85-105)/105=-20/105=-19.047%

Rounded value: -19.05%

The minus sign indicates a decrease in amount spent.

The coordinates of P are (12, 2).

Solution:

Given data:

[tex](x_1, y_1)= A (4, 2)[/tex]  and [tex](x_2, y_2)=B(22, 2)[/tex]

P(x, y) is the point on the line segment AB.

AP : PB = m : n = 4 : 5.

That is m = 4 and n = 5.

Section formula:

[tex]$P(x, y)=\left(\frac{mx_2+nx_1}{m+n}, \frac{my_2+ny_1}{m+n}\right)[/tex]

[tex]$P(x, y)=\left(\frac{4\times 22 + 5\times 4}{4+5}, \frac{4\times 2 + 5\times 2}{4+5}\right)[/tex]

[tex]$P(x, y)=\left(\frac{88 + 20}{9}, \frac{8+10}{9}\right)[/tex]

[tex]$P(x, y)=\left(\frac{108}{9}, \frac{18}{9}\right)[/tex]

P(x, y) = (12, 2)

Hence the coordinates of P are (12, 2).

The question is about calculating a tip which is 25% of a meal cost of $12.00. The tip is calculated by multiplying the total cost of the meal by the tip percentage, converted into decimal form. The answer is $3.00.

Percentage is a mathematical concept used to express a portion of a whole as a fraction of 100. It is a versatile tool in various fields, including finance, statistics, and everyday calculations. To calculate a percentage, you divide a part by the whole and then multiply by 100. Percentages are commonly used to represent proportions, express changes, and compare values, making them vital for analyzing data, understanding discounts, and determining growth rates. In essence, percentages simplify the representation of relative quantities and are fundamental in both practical and academic mathematics.

The subject of the question is Mathematics, specifically Percentage. The student is being asked to calculate 25% of $12.00, which is the cost of Eliza's meal. To calculate the tip, multiply the total meal cost by the percentage of the tip. Here's how we can do it:

So the tip Eliza left for the waiter was $3.00.

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Answer:

m=2/3

Step by Step Explanation:

x1,y1= 3,-6

x2,y2=3,-3

m={-3-3}           (Fraction Form)

    {-6-3}

Refine:

m={2}{3}

Answer:

Slope = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Step 1:  Identify x1, x2, y1, y2

Slope Formula:  [tex]\frac{y2-y1}{x2-x1}[/tex]

(x1, y1) -> (3, 3)

(x2, y2) -> (-6, -3)

Step 2:  Plug into the formula

Slope = [tex]\frac{-3 - 3}{-6 - 3}[/tex]

Slope = [tex]\frac{-6}{-9}[/tex]

The top negative sign and the bottom negative sign cancel to make a positive number.

Slope = [tex]\frac{-6}{-9}[/tex]

Slope = [tex]\frac{6}{9}[/tex]

The top and bottom can be simplified by a factor of 3.

Slope = [tex]\frac{6}{9}[/tex]

Slope = [tex]\frac{6/3}{9/3}[/tex]

Slope = [tex]\frac{2}{3}[/tex]

Answer:  Slope = [tex]\frac{2}{3}[/tex]

Answer:

Here's our equation:

480 * 1/3 - 60 = []

The 1/3 comes from 1 - 2/3 = 1/3 for note, as that's how much of her money is left after the fan's purchased. (if you're unsure, you can multiply 480 and 2/3 together, and then subtract that amount from 480, and you'll see you end up with the same answer as below)

The order of operations means we deal with the 480 * 1/3 first.

480 * 1/3 → 480/3 = 160

Next is subtraction:

160 - 60 = 100

So Mrs. Ricci has $100 left.

Step-by-step explanation:

The wall is 18.79 feet high from the ground.

Data;

To solve this problem, we need to use trigonometric ratio SOHCAHTOA in which we can find the missing side.

if we draw an illustration of this question, we would get

Using the sine angle ratio,

[tex]sin\theta=\frac{opposite}{hypothenuse}\\sin71=\frac{x}{20}\\ x=20sin71\\x=18.79ft[/tex]

The wall is 18.79ft high

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To calculate the height the ladder reaches on the wall, we use sine function and find it to be approximately 19 feet.

To find out how high up the wall the ladder touches the building when a 20-foot ladder forms an angle of 71° with the level ground, we can use trigonometry. Specifically, the sine function relates the opposite side to the hypotenuse in a right triangle. The ladder represents the hypotenuse, and the height reached on the wall is the opposite side.

Using the formula:

sin(angle) = opposite/hypotenuse

For this problem:
sin(71°) = height / 20 feet

Now we solve for height:
height = 20 feet × sin(71°)

We can calculate this using a calculator:
height ≈ 20 feet × 0.945
height ≈ 18.9 feet

To the nearest foot, the ladder reaches approximately 19 feet up the wall.

Answer: 200

Step-by-step explanation:

First I would do it like this.

12.5

X. 16

—————-

6 times 5 is 0, carry the 3, 6 times 2 is 12 and add 3 from the other which is 15, put the 1 from the 15 to the one next to the 12. 6 times 1 is 6 plus 1 is 7 which now you have 750. 5 times 1 is 5, 2 times 1 is 2, 1 times 1 is 1. It should look like this now.

12.5

X 16

—————

750

+ 1250

——————-

Which is 8750 but wait. Where is the decimal? Well, there is only one number behind the decimal so it is 875.0 or 875.