Use the graph to find the missing part of each
statement

g(6)=
g(2)=
g(0)=
g()=-1
g()=1

Answer:

[tex]y = - \frac{5}{2} x + 4[/tex]

Step-by-step explanation:

The equation of a line in slope-intercept form is given by y= mx +c, where m is the slope and c is the y-intercept.

Start with the slope when forming the equation.

Given that the slope is [tex] - \frac{5}{2} [/tex], [tex]m = - \frac{5}{2} [/tex].

Substitute the value of m into the equation:

[tex]y = - \frac{5}{2} x + c[/tex]

The value of c can be found by substituting a pair of coordinates that the line passes through.

When x= -2, y= 9,

[tex]9 = - \frac{5}{2} ( - 2) + c[/tex]

9= 5 +c

c= 9 -5

c= 4

Thus, the equation of the line is [tex]\bf{y = - \frac{5}{2} x + 4}[/tex].

Additional:

What is a linear equation?

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Answer:

4

Step-by-step explanation:

Greatest Common Factor or Divisor is 4, because it is the greatest number that divides evenly into all of them.

Hope this helps! :)

The θ lies in the 4th quadrant of the graph.

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Answer:

x = 31

Step-by-step explanation:

87=2x-25

-25 on each side

62=2x

divide each side by 2

31=x

x=31

The principal plus interest which gives the amount in the account after each year are;

Simple interest is the product of the principal amount, the rate and the time of investment

The amount Brayden deposited in the savings account, P= $2,700

The interest on savings account, R = 0.3% simple interest

The simple interest formula is, I = P•R•T

The interest in the account after each year is therefore;

1st year = $2,700×0.3%×1 = $8.7

The interest in 2 years, I = 2×$8.7 = $17.4

3 years, I = $8.7 × 3 = $26.1

4 years, I = $8.7 × 4 = $34.8

5 years, I = $8.7 × 5 = $43.5

The amount in the account after each of the 5 years are therefore;

1st year, A = $2,700 + $8.7 = $2,708.7

2nd year, A = $2,700 + $17.4 = $2,717.4

3rd year, A = $2,700 + $26.1 = $2,726.1

4th year, A = $2,700 + $34.8 = $2,734.8

5th year, A = $2,700 + $43.5 = $2,743.5

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For groceries to be delivered, one particular grocery store charges 3% of the whole purchase price. The total price the store charges to deliver $140 worth of groceries will be $144.20.

A % in mathematics is a quantity or ratio that is stated as a fraction of 100 (from the Latin per centum, "by a hundred"). Although abbreviations "pct.", "pct.", and occasionally "pc" are also used, percent symbol, "%," is frequently used to indicate it. A % lacks dimensions and has no associated unit of measurement.

It should be mentioned that a certain grocery store charges a delivery fee equal to 3% of the entire purchase price.

Consequently, the following is the total the store will charge to deliver $140 worth of groceries:

= Percentage charged × Cost+ Cost

= 3% × $140+$140

= 0.03 × $140+$140

= $4.20+$140

The amount charged is $144.20.

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Answer: 26

Step-by-step explanation:

If you take 26 minus 11 it gets you -15.

Number lines help a lot with negatives. You can also start with -15 and just start adding numbers starting at a large number and going up or down depending on you answer. Ex. -15 + 30 = 15, -15 + 25 = 10, -15 + 26 = 11.

Answer:

2

Step-by-step explanation:

A perfect square is the product of a number multiplied by itself.

So, 9 would be 3 x 3 so that's a perfect square.

1 is 1 x 1, so that is a perfect square.

4 is 2x2, so that is a perfect square.

2 does not have a number that multiplies by itself to equal 2, so it is not a perfect square.

Answer:

d) 2

Step-by-step explanation:

Now we have to,

→ find which is not a perfect square.

Let's solve the problem,

→ √9 = 3

→ √1 = 1

→ √4 = 2

→ √2 = 1.415

Hence, 2 is not a perfect square.

Answer:

w = 3

Step-by-step explanation:

12 = 5w - w = 4w ( divide both sides by 4 )

3 = w

Answer:

w=2.4

Step-by-step explanation:

12 = 5w

Divide both sides by 5.

12/5=2.4

5/5=w

2.4=w

Answer: x = 80°, y = 50°

Step-by-step explanation:

We have an isosceles triangle.

As you can see, 130° lies on a straight line. A straight line = 180°.

The base angles of an isosceles triangle are equal. This means 180° - 130° = y.

So, y = 50°.

The total measures of any triangle is 180 degrees.

The total measure for the base angles here 100 degrees. That is, 50° + 50° =

100°.

How do we find x?

x = 180° - 100

x = 80°

The value of 0.046138792 estimated to the nearest hundredth is 0.05 and can be expressed in the form [tex]5*10^{-2}[/tex].

This is a question of place values.

Given number:-

0.046138792

We have to estimate the given number to the nearest hundredth. Also, we have to express the answer as a single digit to power of ten.

In the given number, we can see that,

After decimal,

tenth digit is 0

hundredth digit is 4

thousandth digit is 6

and so on.

We have to limit our answer till hundredth digit.

As thousandth digit is 6 we will estimate the number as 0.05.

Now,

0.05 = 5/100

= [tex]\frac{5}{10^2} = 5*10^{-2}[/tex]

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It is to be noted that the information for the completed table is given accordingly to show the perimeters in millimeters and in centimeters.

Perimeter simply refers to the total or sum of all the sides of a geometric shape. Note that the perimeter in units is obtained by counting the number of rectangles.

In the case of A:

Perimeter in Units = 10 Units.

Length is 60mm and width is 40mm
Perimeter = 30 + 20 + 30 + 20 = 100mm; and 10 cm

Recall that I cm = 10mm.

Hence, 100 /10 = 10 cm.

In the case of shape B:
Perimeter in Units = 41 Units.

Length is 400mm (that is 200 + 200)

Breath is 40mm (20 + 20)

Perimeter therefore is:

400 + 40 = 440mm
Perimeter in cm = 44

Recall, 10mm = 1cm

In the case of shape C:

Perimeter in Units = 36 Units.

Length is 10cm (that is 5 + 5)

Breath is 14mm (7 + 7)

Perimeter therefore is:

10+ 14 = 24cm
Perimeter in mm= 240

Recall, 10mm = 1cm

In the case of Shape D:

Perimeter in Units = 51 Units.

Length is 200mm (that is 100 + 100)

Breath is 100mm (50 + 50)

Perimeter therefore is:

200 + 100 = 300mm
Perimeter in cm= 230

Recall, 10mm = 1cm

In the case of Shape D:

Perimeter in Units = 53 Units.

Length is 260mm (that is 130 + 130)

Breath is 80mm (40 + 40)

Perimeter therefore is:

260 + 80 = 340mm
Perimeter in cm= 34

Recall, 10mm = 1cm

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35% more than 78?

35% of 78;

78 x .35 = 27.3

78 + 27.3 = 105.3

Equation of the first line =  [tex]y=-\frac{1}{2} x+1[/tex]

Equation of the second line = [tex]y=-\frac{5}{2} x -1[/tex]

What is the equation of the first line?

Co-ordinates of the first line (x, y) = (-2,2), (0,1), (2,0), (4,-1)

We know that,

[tex]\text{slope }=m=\frac{y_2-y_1}{x_2-x_1}\\\\= > \frac{1-2}{0+2} \\\\=-\frac{1}{2}[/tex]

The slope -intercept form of a line is given by,

y = mx + b    ---(1)

Let us substitute ( x, y )= (-2, 2) in (1)

2=(-1/2)*-2+b

2-1= b

b = 1 ----(2)

Let us substitute m and b in the slope-intercept equation (1)

[tex]y=-\frac{1}{2} x+1[/tex]

What is the equation of the second line?

Co-ordinates of the second line (x, y)=(-4,9), (-2,4), (0,-1), (2,-6)

We know that,

[tex]\text{slope }=m=\frac{y_2-y_1}{x_2-x_1}\\\\= > \frac{4-9}{-2+4} \\\\=-\frac{5}{2}[/tex]

The slope -intercept form of a line is given by,

y = mx + b    ---(3)

Let us substitute ( x, y )= (-4, 9) in (1)

9 = (-5/2)*-4+b

2 - 1 = b

b = - 1 ----(4)

Let us substitute m and b in the slope-intercept equation (3)

[tex]y=-\frac{5}{2} x -1[/tex]

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C) The two stores never charge the same rate as per the cost expression of store A and store B.

The each expression of store A and store B represent the total cost charged by them based on the number of items bought. The mentioned expressions will be equated when assuming their total cost to be same. Thus, equating the the expressions.

20x - 8 = 5 (4x + 4)

Performing multiplication on Right Hand Side of the equation

20x - 8 = 20x + 20

Since 20x is present on both the sides, it will be cancelled. The remaining expression will be :

8 = 20, which is a false case as 8 is not equal to 20.

Thus, the equation has no solution and hence, the two stores will never charge the same rate, no matter how many items are bought.

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Answer:

5763 is the answer because 57 plus 63

Angle 2 is supplementary to Angle 3 Because it's given that to a supplementary to 3 lines A and B are parallel by the transverse line.

Two Angle whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

If ∠ 8 is supplementary to ∠ 9, then line x and y must be parallel lines wheres line s is the transverse line.

∠ 7 = ∠ 4.

Now, ∠ 7 = ∠ 2 and ∠ 4 = ∠ 9.

So, ∠ 2 = ∠ 3 {supplementary angles}

Angle 2 is supplementary to Angle 3 Because it's given that to a supplementary to 3 lines A and B are parallel by the transverse line.

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Answer:

m<1 = 159° m<2 = 21° m<4 = 21°

Step-by-step explanation:

Since angle measure 3 was found, seeing that 3 and 1 are vertical angles (congruent) they equal the same, meaning angle measure 1 is also 159°. Also seeing that angle measure 3 and 2 are supplementary angles (2 or more angles that add up to 180°) subtracting 159° will give you 21°. Once again there are another set of verital angles, 2 and 4 making 4 also 21°

Step-by-step explanation:

i.)add 3 in 6 which = 9

ii.) follow the negative sign of the larger value which now ur finally answer is -9

Answer:

Yes

Step-by-step explanation:

Each x-value corresponds with only one y-value.

Answer:

30 markers

Step-by-step explanation:

(15 what she spent)+(3 the 3 dollors off)=

18/(3 the price of markers)=

(6 sets)*(5 how many is in a set)=

(30 final anwser)

Answer:

45°

Step-by-step explanation:

Given:

To Find:

Concept used:

Using the above concept, we have

5x + 15 + 3x + 3x = 180

11x = 165

x = 165/11

x = 15

So, 3x = 3*15 = 45°

So, the measure of base angle is 45°

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:Base \:\: Angle=3x = 45° [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Property of Triangle : sum of all interior angles of a triangle is 180°

[tex]\qquad \tt \rightarrow \: 5x + 15 + 3x + 3x = 180[/tex]

[tex]\qquad \tt \rightarrow \: 5x + 3x + 3x + 15 = 180[/tex]

[tex]\qquad \tt \rightarrow \: 11x = 180 - 15[/tex]

[tex]\qquad \tt \rightarrow \:11 x = 165[/tex]

[tex]\qquad \tt \rightarrow \: x = 165 \div 11[/tex]

[tex]\qquad \tt \rightarrow \: x = 15[/tex]

Value of x is 15°, base angle is 3x :

[tex]\qquad \tt \rightarrow \: base \: \: angle = 3x = 3 \times 15 = 45 \degree[/tex]

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6.5 units to the left of the origin, and 2 units above the origin

A coordinate plane is a surface with two dimensions made up of two number lines. It is created when the origin, the point at which the X-axis and Y-axis cross, is reached. To locate points, one uses the numbers on a coordinate grid. A coordinate plane is useful for graphing points, lines, and many other things. It serves as a map and provides clear instructions for getting from one place to another

Coordinates are a pair of numbers that identify a specific point on a coordinate plane, often known as a grid of coordinates. The ordered pair (x, y), which corresponds to the X-coordinate and the Y-coordinate, is expressed in parenthesis and is used to identify a point in a coordinate plane. Depending on where the point is in relation to the different quadrants, these coordinates may be positive, zero, or negative.

6.5 units to the left of the origin, and 2 units above the origin

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The slope of the line is that passing through the points  (-1,-3) and (1,3) is m = 2

From the graph, we have to find the two points to find the slope of the line

The two points are (-1,-3) and (1,1)

The slope of the line m = [tex]\frac{y_{2} -y_{1} }{x_{2}- x_{1} }[/tex]
Where m is the slope of the line

[tex](x_{1} ,y_{1})[/tex] are the coordinates of first point

[tex](x_{2} ,y_{2})[/tex] are the coordinates of second point

substitute the values in the equation of slope of the line

The slope of the line m =[tex]\frac{1-(-3)}{1-(-1)}[/tex]

= 4/2

= 2

Hence, the slope of the line is that passing through the points  (-1,-3) and (1,3) is m = 2

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Step-by-step explanation:

[tex](4(2) \: - 6(7) \: 5(1)) \\( 2( - 1) \: 4(5) \: - 1(2) ) \\ (8 \: - 42 \: \: 5 \\ - 2 \: \: \: 20 \: \: - 2)[/tex]

If (1, -2) is reflected over the x-axis, then the image is (1, -(-2)) = (1, 2).

If (1, -2) is reflected over the y-axis, then the image is (-1, -2).

Then, the points are image over the x-axis is (1, 2), and the image over the y-axis is (-1,-2).

Answer:

A

Step-by-step explanation:

On a number line, I would start at 32 and then go left on the number line 17 spaces.  This would land me at positive 15.

Answer:

In a year you can shrink 0.625cm

Step-by-step explanation:

1.7/4=0.625