The equation of the graphed line in point-slope form and it’s equation in slope-intercept form is (-2,3)(3,0)

Answer: The third graph (the one on the right side)

Step-by-step explanation:

The inequalities are:

2x -3y ≤ 12

y < -3

First, for the second inequality, we can see that y must be strictly less than -3, so we should see a dotted line at y = 3, and a shaded section under that line.

From this, we can discard the second graph (the middle one).

The first inequality can be rewritten as:

2x - 3y ≤ 12

-3y ≤ 12 - 2x

Now we divide by -3 on both sides, as we are dividing by a negative number, the direction of the ≤ sign changes:

y ≥ (12/-3) + (-2/-3)x = -4 + (2/3)*x

This means that the shaded section must be above the line:

y = -4 + (2/3)*x

Then the correct option is the third graph (rightmost graph).

Answer: c on edge 2021

Step-by-step explanation:

Answer:

Solve one of the equations for y, take that answer and plug into the second equation in place of y. Then solve for x.

Step-by-step explanation:

Need equations if you want actual answer

Answer:

a. -17 -9n

Step-by-step explanation:

Question written clearly below:

Which answer choice is equivalent to the expression below?

-7(2+n)+1/3(-9-6n)

a.-17 -9n

b, -14-12n

c. 11+5n

d. 14+2n

Solution

-7(2+n)+1/3(-9-6n)

Open parenthesis

(-14-7n)+(-9/3-6/3n)

= -14-7n+(-3-2n)

= -14-7n-3-2n

Collect like terms

= -14-3-7n-2n

= -17-9n

The answer is option a. -17 -9n

Answer:

-17 -9n

Step-by-step explanation:

i got it right on edge

Apply the rule x^m/n = nsqrt(x^m)

(2) ^x/12 = 12sqrt(2^x)

The answer is the 3rd choice

Answer:3.2 ft

Step-by-step explanation:

sin 32°=[tex]\frac{yz}{6}[/tex]

cross multiply

sin 32° x 6=yz

0.5299 x 6 =yz

yz=3.1795

≅3.2ft

Answer:

67 units^2

Step-by-step explanation:

The surface area of the prism is found by

SA = 2 ( lw+lh + wh)

     = 2 ( 5*1.5+ 4*1.5 + 5*4)

     = 2 ( 7.5+6+20)

     = 2 (33.5)

    = 67

Answer:

67units²

Step-by-step explanation:

Answer:

Find the area of all the shapes

Length x width = area

10 x 3 = 30

6 x 3 = 18

6 x 3 = 18

6 x 10 = 60

3 x 10 = 30

6 x 10 = 60

Add them all up

30 + 18 + 18 + 60 + 30 + 60 = 216 cm^2

Hope this helps

Step-by-step explanation:

Step-by-step explanation:

When using the equation of a line, one calculates the value of

y

in terms of

x

, say

y

=

m

x

+

c

, then

m

is the slope of the line and

c

is its intercept on

y

-axis.

As

3

x

−

9

y

=

15

can be written as

3

x

−

15

=

9

y

or

y

=

3

9

x

−

15

9

or

y

=

1

3

x

−

5

3

Hence slope of

3

x

−

9

y

=

15

is

1

3

Product of slopes of two perpendicular lines is

−

1

Hence, the slope of the line that is perpendicular to the line

3

x

−

9

y

=

15

is

−

1

1

3

=

−

1

×

3

1

=

−

3

graph{(3x-9y-15)(3x+y+5)=0 [-10, 10, -7.04, 2.96]}

Answer:

115.96

Step-by-step explanation:

=> [tex]9393 / 81 * 1[/tex]

By BODMAS, Dividing first

=> 115.96 * 1

Now, Multiplying

=> 115.96

Answer:

115.962963

Step-by-step explanation:

81 x 1 = 81

9393 ÷ 81 = 115.96

Answer:

The original width was 94.71 cm

Step-by-step explanation:

Given:

new smaller area = 1.2m^2

Decrease in length of the rectangular sheet = 34.5cm

Therefore:

1. the final width of the sheet is given as

2X^2 = 1.2 m^2

X^2 - 0.6 m^2

X^2 = 10000 * 0.6 cm

X = 77.46 cm (this is the width)

2. The length of the sheet

= 2 * 77.46

= 154.92 cm.

3. Initial length of the sheet

= 154.92 + 34.5

= 189.42 cm.

4. Initial width of the sheet ( original ).

= 189.42 / 2

= 94.71 cm.

5. Initial area of the sheet

= 94.71 * 189.92

= 17939.9 cm^2

New area of the sheet

= 79.46 * 154.92

= 12000.1 cm^2

Difference between the initial and new area

= 17939.9 - 12000.1

= 5939.86 cm^2

Percentage of area decrease

= 5939.86 ' 17939.9

= 33.1%

Answer:

See below.

Step-by-step explanation:

We want to find the unknown angle and we know the sides opposite to it and the hypotenuse. Therefore, we can use sine.

Recall that sine is the ratio of the opposite to the hypotenuse:

[tex]\sin(\theta)=opp/hyp[/tex]

Plug in the numbers. The opposite is 20 and the hypotenuse is 55.

[tex]\sin(\theta)=20/55[/tex]

Solve for theta (use a calculator):

[tex]\sin(\theta)=20/55\\\theta=\arcsin(4/11)\\\theta\approx21.23\approx21\textdegree[/tex]

Answer:

h = 6

Step-by-step explanation:

Step 1: Distribute

7h + 15.75 = 57.75

Step 2: Subtract 15.75 on both sides

7h = 42

Step 3: Divide both sides by 7

h = 6

Answer:

B.

Step-by-step explanation:

The null hypothesis will say that the mean is equal to what it is supposed to be. In this case, each box is supposed to have 24.3 ounces of cereal.

So, your null hypothesis would be that the average is equal to 24.3, or H₀ = 24.3. B.

Hope this helps!

Answer:

A. 2

Step-by-step explanation:

Well let’s first graph the following,

[tex]x^2 + y = 8[/tex]

[tex]x=y[/tex]

So on the graph the system of equations only have 2 real solutions which are

(-3.272, -3.272) (2.372,2.372)

Answer:

The measure of the angle of each of the intercepted arc is 180°

Step-by-step explanation:

An intercepted arc is an encased (between chords) portion of the circumference of the circle. The chords that form the intercepted arc meet at a point

An inscribed angle is the angle is an angle formed between two chords that meet at a point called the end point

For the inscribed square, the symmetry has it that the diagonal is the same as the diameter of the circle as the diagonals bisect each other having equal distances on either side to the circumference of the circle.

Given that the angles in the vertices of the square are 90° and the point of intersection of the two chords forming the vertex are at the ends of the diameter of the circle, which passes through the center of the circle, the angle 90° at the vertex is half the angle at the center which is the angle of the intercepted arc

∴ The measure of the angle of each of the intercepted arc = 2× 90 = 180°.

Answer:

D

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, thus

DE = BE , substitute values

4y - 8 = y + 10 ( subtract y from both sides )

3y - 8 = 10 ( add 8 to both sides )

3y = 18 ( divide both sides by 3 )

y = 6

Thus

BD = y + 10 + 4y - 8 = 5y + 2 = 5(6) + 2 = 30 + 2 = 32 → D

Answer:

mM = 113 and mN = 61

Step-by-step explanation:

In a Cyclic quadrilateral, the rule states that:

The sum opposite interior angles is equal to 180°

In the above diagram, we have cyclic quadrilateral KLMN

According to the rule stated above:

Angle K is Opposite to Angle M

So, Angle K + Angle M = 180°

Angle K = 67°

67° + Angle M = 180°

Angle M = 180° - 67°

Angle M = 113°

Angle L is Opposite to Angle N

so Angle L + Angle N = 180°

Angle L is given as = 119°

119° + Angle N = 180°

Angle N = 180° - 119°

Angle N = 61°

Therefore, Angle M = 113° and Angle N = 61°

Answer:

okay... Thanks have a great day!

The Answer is A.)

A picture of my answer

Answer:

the answer is d. -5120

Step-by-step explanation:

[tex]a_{n} =-5(4)^{n-1}\\a_{6}=-5(4)^{6-1} \\a_{6}=-5(4)^{5} \\a_{6}=-5(1024)\\a_{6}=-5,120[/tex]

Answer:

x=1

Step-by-step explanation:

f(x)=27

y=27(x)

x=1

y=27

Answer:

14,7

Step-by-step explanation: if it is being divided by 2 it is 14 and 7

Answer:

6

Step-by-step explanation:

Well first we need to tfraph the following equation,

2y - x = -6

Look at the image below

Thus,

by looking at the graph we can tell that the x-intercept is 6.

Hope this helps :)

Answer:

Step-by-step explanation:

Method 1

[tex]2y -x = -6\\Let ; y =0\\2(0) -x =-6\\-x =-6\\x = 6\\\\ (6 , 0 )[/tex]

Method 2

[tex]x - interept = -c/a\\a = -1\\b =2\\c = 6\\\\x - intercept =\frac{ -(6)}{-1} \\\\x - intercept = 6[/tex]

Answer:

x = 1, y = 6

Step-by-step explanation:

y = 6x

2x + 3y = 20

Plug y as 6x in the second equation and solve for x.

2x + 3(6x) = 20

2x + 18x = 20

20x = 20

[tex]\frac{20x}{20}= \frac{20}{20}[/tex]

x = 1

Plug x as 1 in the first equation and solve for y.

y = 6(1)

y = 6

Answer:

y=6 , x=1

Step-by-step explanation:

y=6x

2x+3y=20

Substitute 6x into y because y=6x.

2x+3(6x)=20

2x+18x=20

20x=20

x=1

Then subsitiute 1 into the first equation in x value

y=6(1)

y=6

Answer:

x = 4

Step-by-step explanation:

The y- intercept is the value of the x- coordinate where the line crosses the x- axis.

Given the line crosses the x- axis at (4, 0 ), then

the x- intercept is x = 4

Work Shown:

x^2 - 7x = -12

x^2 - 7x + 12 = 0

(x - 3)(x - 4) = 0 ... see note below

x - 3 = 0 or x - 4 = 0

x = 3 or x = 4

Note: we're looking for two numbers that multiply to 12 and add to -7. Those two numbers are -3 and -4, so that's where the factorization (x-3)(x-4) comes in. After this step, you set each factor equal to zero and solve for x.

Answer:

x=3  x=4

Step-by-step explanation:

x^2 − 7x = −12

Add 12 to each side

x^2 - 7x +12 =0

Factor

What 2 numbers multiply to 12 and add to -7

-3*-4 = 12

-3+-4 = -7

(x-3)(x-4) =0

Using the zero product property

x-3 =0   x-4 =0

x=3  x=4

Answer:

Variance population of 147,141,120,124,128 = 106

Variance sample of 147,141,120,124,128 = 132.5

Hope this helps and PLSSS MARK AS BRAINLIEST :)

Answer:

See below.

Step-by-step explanation:

The mean = (120+124+128+141+147) / 5

= 660 / 5

= 132

Difference between the values and the mean = -12, -8, -4, 9, 15.

Squares of these differences = 144, 64, 16, 81, 225

Sum of these squared differences =  530

So the variance = 530 / 5

= 106.

This is the population variance.

The sample variance = 530 / (5-1)

= 132.5.

Answer:

Just add 6 to the right side of 3 which will make as 36

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 36

Hope it helps u...pls mark as brainliest

Answer:

Step-by-step explanation:

Hello!

The box plot is a graph that shows the summary of a data set.

If for example the graphic is on the side:

Box

The left limit of the box is determined by the first quantile of the data set Q₁= 57

The right limit of the box is determined by the third quantile Q₃= 112

The vertical line inside the box represents the second quantile or median Me= 88

Depending on of the symmetry of the distribution you may find it in the middle of the box (symmetrical distribution), closer to the left limit (right skewed) or closer to the right limit of the box (left skewed)

Whiskers

The whiskers of the graphic are a line between the first quantile and the minimum value and the third quantile and the maximum value.

Left whisker  goes from Q₁ to the minimum value min= 40

Right whisker goes from Q₃ to the maximum value max= 120

I hope this helps!

Answer:

for the people who don't understand, its A

Step-by-step explanation: