5(x + 3) represents the area of the rectangle above. Which expression below is equivalent by the Distributive Property?
5x + 3

(5 + x) + 3

5x + 15

(x + 3) ⋅ 5

The answer is c. 1/5

[tex]\bf 5y=x-3\implies y=\cfrac{x-3}{5}\implies y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{5}}x-\cfrac{3}{5}\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

Answer:

[tex]\large\boxed{y=(x+2)(x-2)}[/tex]

Step-by-step explanation:

Factored form of quadratic equation:

[tex]y=a(x-x_1)(x-x_2)[/tex]

x₁, x₂ - zeros

We have zeros: x₁ = -2 and x₂ = 2. Substitute:

[tex]y=a(x-(-2))(x-2)=a(x+2)(x-2)[/tex]

We have the vertex (0, -4). Put the coordinates of the vertex to the equation:

[tex]-4=a(0+2)(0-2)[/tex]

[tex]-4=a(2)(-2)[/tex]

[tex]-4=-4a[/tex]             divdie both sides by (-4)

[tex]1=a\to a=1[/tex]

Finally:

[tex]y=1(x+2)(x-2)=(x+2)(x-2)[/tex]

The equation in factored form given the zeros -2 and 2 with the vertex (0,-4) is f(x) = -(x + 2)(x - 2).

To find the equation in factored form given the zeros = -2 and 2 with the vertex (0,-4), we start with the standard form of a quadratic function, which is f(x) = ax^2 + bx + c. Since the vertex is at the origin and the parabola opens upward (the coefficient of x^2 is positive), and the factor form of the quadratic equation is f(x) = a(x - p)(x - q), where p and q are the zeros of the function.

In this case, using the given zeros of -2 and 2, the factored form starts as f(x) = a(x + 2)(x - 2). To find the value of a, we use the vertex (0,-4). The vertex form of a quadratic function is f(x) = a(x - h)^2 + k, where the vertex is at the point (h,k). Comparing the vertex form with the vertex given, we get f(x) = a(x - 0)^2 - 4. Since when x = 0, f(x) = -4, we can see that a must be -1. Therefore, the factored form of the quadratic function is f(x) = -1(x + 2)(x - 2) or f(x) = -(x + 2)(x - 2).

Answer:

2

Step-by-step explanation:

The slope can be found by using the formula

m = (y2-y1)/(x2-x1)

   = (-2-10)/(-2-4)

   = -12/-6

  =2

The slope is 2

Answer:

The answer is 600

Step-by-step explanation:

Answer:

calculate volume by l×b×h

Answer:

490 students have back packs

Step-by-step explanation:

700 / 10 = 70

70* 7 = 490

Answer:

26 square inches

Step-by-step explanation:

To calculate the area of the polygon, find the area of 5*10 = 50. Now subtract the area of each rectangle cut out of the polygon. There are two rectangles of the same size measuring 3 by 4. They have an area of 3*4 = 12.

So 50 - 12 - 12 = 26

Answer:

26 square inches

Step-by-step explanation:

Answer:

Three points determine a plane

Step-by-step explanation:

Answer:

Never

Step-by-step explanation:

The surface area of a regular right pyramid with a square base can be found using the formula: Surface Area = Area of Base + (1/2 × Perimeter of Base × Slant Height). You will need to know the side length of the base and the slant height of the pyramid to calculate the surface area.

A right pyramid with a square base has a surface area that can be calculated by finding the sum of the areas of all its faces. The surface area of a regular right pyramid can be determined using the formula:

Surface Area = Area of Base + (1/2 × Perimeter of Base × Slant Height)

Since the base of the pyramid is a square, the area of the base is given by:

Area of Base = Side Length × Side Length

To find the surface area, you will need to know the side length of the base and the slant height of the pyramid. Once you have these measurements, substitute them into the formula to calculate the surface area.

Answer:

182

Step-by-step explanation:

12.5 - 9 = 3.5

3.5 times 52 = 182

Answer:

56

Step-by-step explanation:

The angular sum of a triangle is 180 and we know 2 angles so we just add them together and subtract that from 180 for the last angle measure.

90+34 = 124

180-124=56

Answer:

Step-by-step explanation:

C = 2pir

75 = 2pir

75 / 6.28 = r

r = 12 inches

Answer:12

Step-by-step explanation:

C = 2pir

75 = 2pir

75 / 6.28 = r

r = 12 inches

Answer: 16 square feet

Step-by-step explanation: In order to calculate how much total screen she needs you need to calculate each section.

The small ends are 2 ft x 1 ft, so you need 2 feet for each end, or 4 feet total.

The long sides are 3 ft x 2 ft, so you need 6 feet for each end, or 12 feet total.

The total screen needed for the sides is 4 + 12 = 16 square feet.

Answer:

18

Step-by-step explanation:

The given fractions are:

[tex]\frac{4}{9},\frac{2}{3} ,\frac{1}{6},-2\frac{1}{2}[/tex]

We can change the mixed number to a proper fraction to get;

[tex]\frac{4}{9},\frac{2}{3} ,\frac{1}{6},-\frac{5}{2}[/tex]

Janessa needs to find the least common multiple of the denominators.

The denominators are; [tex]9,3,6,2[/tex]

We can express each of the denominators as product of primes.

[tex]9=3^2[/tex]

[tex]3=3[/tex]

[tex]6=2\times3[/tex]

[tex]2=2[/tex]

The least common multiple of these numbers is the product of the highest powers common to all the numbers.

The LCD is [tex]2\times3^2=18[/tex]

Answer:

the answer is 18

Step-by-step explanation:

9 x 2= 18

3 x 6 = 18

6 x 3 = 18

2 x 9 = 18

To find the volume of a cylinder, start with the formula for the volume of a cylinder.

Volume = [tex]\pi[/tex][tex]r^{2}[/tex][tex]^{h}[/tex]

Notice that our cylinder has a radius of 7 and a height of 16. So we have

([tex]\pi[/tex]) (7)[tex]^{2}[/tex] (16)

Let's start by simplifying the exponents. [tex]7^{2}[/tex] ≈ 49

([tex]\pi[/tex]) (49) (16)

49 × 16 = 784[tex]\pi[/tex][tex]m^{3}[/tex]

We can add a unit so we have 784[tex]\pi[/tex][tex]m^{3}[/tex].

Hey!

----------------------------------------------

Formula: V = πr²h

----------------------------------------------

Solution:

V = (3.14)(7)²(16)

V = (3.14)(49)(16)

V = 784π

----------------------------------------------

Answer:

Volume is equal to 784π

----------------------------------------------

Hope This Helped! Good Luck!

Answer:

Your other $1 went to yourself.

Answer:

Step-by-step explanation:

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

A cylinder has diameter 34 m and height 27 m. A label at bottom states drawing not to scale.

Find the volume of the cylinder. Use 3.14 for  

π

.

please show your answer in steps

Answer:

its (1,3)

Step-by-step explanation:

this is a bit of bad explaining but if you draw a graph you can find it, the verticle intercept is 0,2 if you wanted to know that. and also since the answers are there you could try them out so like 3=2+1, that works, and kinda like that

Answer: Less than

Without actually solving this, we can find that the product of 3 and 4/5 will be less than 3. The reason for this is because 4/5 < 1. If we simply would do 3 * 1 we would just get 3. But since we are multiplying it by a number smaller than 1, we will be getting a number less than 3.

Solving this:

4/5 = 0.8

3 * 0.8 = 2.4

Yeah you did well on the table

No, your answer is not correct. There was a total of 484 students surveyed, so your grand total at the bottom needs to be 484.

The first section that you will want to complete is the girls. They have given you each of the breakdowns, so you just need to add them together for the total number of girls.

36+55+144 = 235 girls.

Next, you know that you have 484 students, and if 235 are girls then 249 are boys. (484-235=). Enter 249 for the total boys.

Now you know that you have 249 boys, 40 always wear glasses and 161 never do. In order to calculate how many sometimes do you need to subtract 40 and 161 from 249.

249 - 40 - 161 = 48 sometimes wear glasses.

Now, you just need to add up each of the columns at the bottom. The answers are 76,

103 and 305. When you total these number together you get 484, which is the total number of students.

The answer is:

C. [tex]F(x)=2^{x}-1[/tex]

In order to find the correct option, we need to substitute/evaluate the given values of "x" into each function.

Substituting into the first equation, option A:

[tex]F(x)=3^{x} \\F(3)=3^{3}=27\\F(3)=3^{4}=81[/tex]

... and so.

We can see that the option A is not the correct option since the obtained values do not match with the given values.

Substituting into the second equation, option B:

[tex]F(x)=3x\\F(3)=3*3=9\\F(4)=3*4=12\\[/tex]

... and so.

We can see that the values obtained from the function do not match with the given values, so the option B is not correct.

Substituting into the third equation, option C:

[tex]F(x)=2^{x}-1\\F(3)=2^{3}-1=8-1=7\\F(4)=2^{4}-1=16-1=15\\F(5)=2^{5}-1=32-1=31\\F(7)=2^{7}-1=128-1=127\\F(8)=2^{8}-1=256-1=255\\[/tex]

So, since all the obtained values match with the given values, we can conclude that the correct option is the option C.

Have a nice day!

Answer:

The answer is c

Step-by-step explanation:

Answer:

14 notes overall

Step-by-step explanation:

well 2 are in a quarter and there are four in a half note and there are 8 in a full

so

4 + 2 is 6

and 8+ 6 is 14

so 14 notes overall

Answer:

Beto will reach school first

Step-by-step explanation:

Delia lives 3/4 mile from school, and if she walks at 16 minutes per mile, it would take her

3/4 x 16 = 12 minutes to reach school.

Beto lives 3 1/2 (7/2) miles from school, and if she walks 3 minutes a mile, it would take her

7/2 x 3 = 10.5 minutes to reach school

Answer:

Beto reaches school first

Step-by-step explanation:

We are given that Delia lives 3/4 mile from school and walks at a pace of

16 minutes per mile.

So Delia takes [tex] \frac{3}{4} \times 16 = [/tex] 12 minutes to reach school.

While Beto lives 3 1/2 miles from school  and bikes at a pace of 3 minutes per mile.

So Beto takes [tex] \frac{7}{2} \times 3 = [/tex] 10.5 minutes to reach school.

Therefore, Beto reaches school first.

Answer:

(P-12)/2 = L

Step-by-step explanation:

1. Start off with an equation in terms of perimeter

P = (2)(6) + (2)(L)

2. Multiply the two and the six

P = 12+ (2)(L)

3. Move the terms around so only "L" is on one side

(P-12)/2 = L

hope this helped :)

Answer:

l = P/2 - 6

Step-by-step explanation:

The perimeter of a rectangle is 2*length + 2* width, or 2l + 2w.

So, the equation is P = 2l + 2*6. This simplifies to P = 2l + 12.

To isolate l, you subtract 12 from both sides, and divide both sides by 2.

This will look like [tex]l = \frac{P}{2} - 6[/tex].

To solve the system of equations using the substitution method, substitute the value of x into the other equation and solve for y.

To solve the system of equations using the substitution method, we first need to solve one of the equations for one variable and then substitute that expression into the other equation. In this case, the second equation is already solved for x, so we can substitute x = 2 into the first equation:

2(2) + 3y = 13
4 + 3y = 13
3y = 9
y = 3

Therefore, the solution to the system of equations is x = 2 and y = 3.

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Answer:

V = 90 Cubic Feet

Step-by-step explanation:

The volume of the Rectangular Prism is Given as

The product of the Area of Base and The height.

We are given that Area of Base = 18 sq ft

And the Height is 5 ft

Hence as per the formula we have discussed

Volume = 18 x 5

= 90

The volume = 90 Cubic ft

Answer:

3:2

Step-by-step explanation:

I think the answer is 3:2 and 12:8

Hope this helps.

type cos(155) into a calculator

cos(155)= -0.906307787...

Answer:

-0.9063077

Step-by-step explanation:

The cos of 155 degrees is equals to -0.9063077

To obtain cos 155 degrees in radian multiply 155 by π/180

cos 155 degrees =  (155 /180) π  radian

Dividing 155 and 180 by its common factor 5 we will get (31/36)π

so cos 155 in terms of radian is equals (31/36)π

Since our angle is greater than 90 degrees and less than or equals to 180 degrees, it is located in quadrant II . In second quadrant the value of sin are positive only that is why cos 155 is  -0.9063077

It can also be solved by using identities of cosine

cos (∅) = sin(∅-90)

putting ∅ = 155, we get

= sin(155-90)

= sin(-65)

= -0.9063077

Answer: w = 7

Step-by-step explanation: In order to solve this you must first multiply the inside of the parentheses by -1:

1 = w - 6

Next, add 6 to both sides:

7 = w

Answer: C

Step-by-step explanation:

1 ml = 0.001 l

1 l = 1000 kl

Answer:

Answer is C.

...and could you help me with my question please?

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