identify the y intercept of the function f(x) = 2 + 4x +3​

Answer:

C. 1/4

Step-by-step explanation:

Line pass A(-2,-1) and B(2,0)

slope = Δy/Δx = (0 - (-1)) / (2 - (-2)) = 1/4

Answer:

the answer is C

Step-by-step explanation:

slope formula:

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

(1) take two coordinates from the graph

i/ (2,0)

x1 = 2

y1 = 0

ii/ (6,1)

x2 = 6

y2 = 1

(2) substitute the values into the formula

[tex] \frac{1 - 0}{6 - 2} [/tex]

[tex] \frac{1}{4} [/tex]

Answer:

Solution in photo

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf E. \ y=x-3}}[/tex]

Step-by-step explanation:

To find the equation of the line, we must first find the slope, then use the point-slope formula.

1. Find the Slope

The slope formula is the change in y over the change in x, or:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where (x₁, y₁) and (x₂, y₂) are the points the line passes through.

The points given in the problem are (6,3) and (4,1). Therefore:

[tex]x_1=6 \\y_1=3 \\x_2=4 \\y_2=1[/tex]

Substitute the values into the formula.

[tex]m=\frac{1-3}{4-6}[/tex]

Solve the numerator.

[tex]m=\frac{-2}{4-6}[/tex]

Solve the denominator.

[tex]m=\frac{-2}{-2}[/tex]

Divide.

[tex]m=1[/tex]

2. Find the Equation of the Line

We have the slope and a point, so we can use the point-slope formula.

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

We know the slope is 1 and we can pick either point to use for (x₁, y₁). Let's use (4,1).

[tex]y-1=1(x-4)[/tex]

Distribute the 1.

[tex]y-1=(1*x)+(1*-4)\\y-1=x-4[/tex]

We want to find the equation in y=mx+b, so we must isolate the variable on one side of the equation.

1 is being subtracted from y and the inverse of subtraction is addition. Add 1 to both sides of the equation.

[tex]y-1+1=x-4+1\\y=x-4+1\\y=x-3[/tex]

In slope-intercept form, the equation of the line is y=x-3

Answer:

13.48

Step-by-step explanation:

Answer:

NOT D - D is incorrect

Im not sure which one it is, but it's not the last one.

Step-by-step explanation:

Answer:

p=58

q=84

r=38

Step-by-step explanation:

x+46+2x-18+x=180 degree ( angle sum property )

4x + 28 = 180 degree

4x = 180 - 28

4x = 152

x = 152 /4

x= 38

angle p = 2x -18 = 2 *38 -18 = 58 degree

angle q = x + 46 = 38 +46= 84 degree

angle r = x = 38 degree

Answer:

x= 38°

measure of angle P= 58°

measure of angle Q= 84°

measure of angle R=​38°

Step-by-step explanation:

Equations

The sum of the internal angles of a triangle is 180°. We are given the three angles as a function of x, thus:

2x - 18 + x + 46 + x = 180

Simplifying:

4x + 28 = 180

Subtracting 28:

4x = 180 - 28 = 152

x = 152/4 = 38

x = 38°

Angle P=2x-18=2*38-18=58°

Angle Q=x+46=38+46=84°

Angle R=x=38°

Answer:

x = 20

Step-by-step explanation:

The sum of angle of a triangle is 180. Taking the sum of the angles and equating to 180 will give:

75 + 63 + 4x+2 = 180

138+2+4x = 180

140+2x = 180

2x = 180=140

2x = 40

x = 20

Hence the value of x is 20

Answer:

The answer is E

Step-by-step explanation:

When multiplying exponents you just have to add them but they have to have the same denominator in order to be added.

Multiply 1/2 by 2 on the top and bottom: 2/4 and add to 1/4 to get 3/4

Answer:

B. 68pi

Step-by-step explanation:

to find the surface area of a right cone given radius and slant height:

let A = surface area

let r = radius

let l = slant height.

A=pi*r*l + pi* r^2

plug in the values

A=pi*52+pi*16= about 213.62

The surface area of the cone is 68π sq. units.

The surface area of a figure is the number of unit squares it takes to cover the entire surface without gaps or overlaps. If a three-dimensional figure has flat sides, the sides are called faces. The surface area is the total of the areas of the faces.

Given that, the slant height and the radius of a cone is 13 units and 4 units respectively,

We need to find the surface area of the cone,

SA = π×r×l + π×r²

SA = π(4×13+16)

SA = 68π

Hence, the surface area of the cone is 68π sq. units.

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Answer:

y = 80

Step-by-step explanation:

the angles of a triangle = 180. the top angle is 80 and the bottom is 20. 180 - 20 - 80 = 80

Answer:

x=1/32

Step-by-step explanation:

-13-4x-13x=-14+15x

first, combine the like terms.

add -4x and -13x

-13-17x=-14+15x

now, add 13 to both sides

-17x=-1+15x

subtract 15x from both sides

-32x=-1

divide by -32

x=-1/-32

Simplify

x=1/32

Hope this helps!

Answer:

x = 0.84375

Step-by-step explanation:

-13 - 4x - 13x = 14 + 15x

-13 - 17x = 14 + 15x

-13 - 17x + 17x = 14 + 15x + 17x

-13 = 14 + 32x

-13 - 14 = 32x

-27 = 32x

-27 / -32 = 32x / 32

0.84375 = x

Answer:

4 dozen is equal to 48

divide that by 4 which would equal 12 or one dozen

Answer:

12

Step-by-step explanation:

1 dozen is equal to 12, so 4 dozen is (12×4) is 48. 48 x 1/4 =12.

Simply: 1/4 of 4 dozen is 1 dozen

Answer:

a. 100

b. 156

Step-by-step explanation:

a.

(n - 2)180 = (6 - 2)180 = 4(180) = 720

? + 166 + 108 + 121 + 135 + 90 = 720

? = 100

b.

(n - 2)180 = (8 - 2)180 = 6(180) = 1080

? + 128 + 99 + 161 + 113 + 142 + 146 + 135 = 1080

? = 156

Answer:

There would be 20 ounces of almonds in the bag

Step-by-step explanation:

System of Equations

To solve the problem, we'll set up these two variables:

x = ounces of almonds

y = ounces of raisins

The ratio of almonds to raisins in the trail mix is 5:7, thus:

[tex]\displaystyle \frac{x}{y}=\frac{5}{7}[/tex]

Cross-multiplying:

7x=5y         [1]

A 3-pound bag of this trail mix contains 3*16=48 ounces that include almonds and raisins, thus:

x + y = 48      [2]

Multiplying [2] by 5:

5x + 5y = 240

Substituting from [1]:

5x + 7x = 240

12x = 240

x = 240/12

x = 20

There would be 20 ounces of almonds in the bag

Answer:

Object A is faster.

Answer:

3 days

Step-by-step explanation: (See Annex)

According to the problem statement, both readings (Isabela and Angel) are models for a straight line:

10 and 20 are the slopes of I and A respectively

I = 35 + 10*t

A = 5 + 20*t

The common point of the two lines will be the day when they both will be on the same page ( see annex)

then:

35 + 10*t  =  5 +20*t

35 - 5  =  20*t - 10*t

10*t  =  30

t  = 3

Answer:

51 months

explanation

The matrix is not properly formatted.

However, I'm able to rearrange the question as:

[tex]\left[\begin{array}{ccc}1&1&1|-1\\-2&3&5|3\\3&2&4|1\end{array}\right][/tex]

Operations:

[tex]2R_1 + R_2 ->R_2[/tex]

[tex]-3R_1 +R_3 ->R_3[/tex]

Please note that the above may not reflect the original question. However, you should be able to implement my steps in your question.

Answer:

[tex]\left[\begin{array}{ccc}1&1&1|-1\\0&5&7|1\\0&-1&1|4\end{array}\right][/tex]

Step-by-step explanation:

The first operation:

[tex]2R_1 + R_2 ->R_2[/tex]

This means that the new second row (R2) is derived by:

Multiplying the first row (R1) by 2; add this to the second row

The row 1 elements are:

[tex]\left[\begin{array}{ccc}1&1&1|-1\end{array}\right][/tex]

Multiply by 2

[tex]2 * \left[\begin{array}{ccc}1&1&1|-1\end{array}\right] = \left[\begin{array}{ccc}2&2&2|-2\end{array}\right][/tex]

Add to row 2 elements are: [tex]\left[\begin{array}{ccc}-2&3&5|3\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}2&2&2|-2\end{array}\right] + \left[\begin{array}{ccc}-2&3&5|3\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}0&5&7|1\end{array}\right][/tex]

The second operation:

[tex]-3R_1 +R_3 ->R_3[/tex]

This means that the new third row (R3) is derived by:

Multiplying the first row (R1) by -3; add this to the third row

The row 1 elements are:

[tex]\left[\begin{array}{ccc}1&1&1|-1\end{array}\right][/tex]

Multiply by -3

[tex]-3 * \left[\begin{array}{ccc}1&1&1|-1\end{array}\right] = \left[\begin{array}{ccc}-3&-3&-3|3\end{array}\right][/tex]

Add to row 2 elements are: [tex]\left[\begin{array}{ccc}3&2&4|1\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}-3&-3&-3|3\end{array}\right] + \left[\begin{array}{ccc}3&2&4|1\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}0&-1&1|4\end{array}\right][/tex]

Hence, the new matrix is:

[tex]\left[\begin{array}{ccc}1&1&1|-1\\0&5&7|1\\0&-1&1|4\end{array}\right][/tex]

Answer:

Step-by-step explanation:

:)

Answer:

3) Because the run go by 4 and the rise go up by 2

Step-by-step explanation:

Answer:

0.775

Step-by-step explanation:

think place values to the right

tenths, hundredths, thousandths

The decimal equivalent of the following: seven hundred seventy-five thousandths is 0.775.

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values.

It is given in the question that the decimal equivalent of the following: seven hundred seventy-five thousandths.

Seven hundred seventy-five thousand will be written in decimal form to the three places.

Decimal form = 0.775

Therefore the decimal equivalent of the following: seven hundred seventy-five thousandths is 0.775.

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Answer:

The right answer is

[tex]y = 2x[/tex]

Answer:

C

Step-by-step explanation:

y = 2.5 x - 57

y = Profit: 143

143 = 2.5 x - 57                     Add 57 to both sides

143 + 57 = 2x - 57 + 57    Combine like terms

200 = 2.5 x                          Divide by 2.5

200/2.5 = 2.5x/2.5

x = 80 plants

Answer:

1). Area = 37 cm²

2). Area = 120 cm²

Step-by-step explanation:

Figures in the picture attached are the examples of composite figures.

1). Area of the composite figure = Area of rectangle A + Area of rectangle B

   Since area of rectangle = Length × width

   Area of rectangle A = 8 × 2 = 16 cm²

   Area of rectangle B = 3 × 7 = 21 cm²

   Area of the composite figure = 16 + 21 = 37 cm²

2). Area of the composite figure = Area of C + Area of D

                                                     = (3×4) + (9×12)

                                                     = 12 + 108

                                                     = 120 cm²

Answer:

they bought 5 pies

Step-by-step explanation:

.................

Five pies were bought by the booster club of the baseball team.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Three pies were provided for sale by the school. After that, each pie was divided into 8 pieces and sold. 64 pieces in all were available for purchase.

Let "p" be the number of pies the booster club purchased.

The school donated 3 pies, so the booster club purchased a total of p + 3 pies.

Each pie was cut into 8 pieces, so there were a total of (p + 3) × 8 = 64 pieces to sell.

This equation can be simplified to p + 3 = 8, or p = 5.

Therefore, there was a booster club that purchased 5 pies.

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