A student wrote the following equation for the graph: y = -3/2 - 4. This is incorrect. What is the mistake? What is the correct equation?​

The equation of the line with yellow point in slope intercept form is y = 7 / 6 x + 2.

The equation of a straight line can be represented in different form such as slope intercept form, point slope form, etc.

Therefore, let's represent the line with yellow point in slope intercept form.

Hence,

y = mx + b

where

Therefore, using (0, 2) and (6, 9).

m = 9 - 2 / 6 - 0

m = 7 / 6

Hence, let's find the y-intercept

y = 7 / 6 x + b

2 = 7 / 6(0) + b

b = 2

Therefore,

y = 7 / 6 x + 2.

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Answer:

20 ×

Step-by-step explanation:

Therefore, the answer is 20.

\( \frac{5}{8} \times 32 \\ = \frac{5 \times 32}{8} \\ = \frac{160}{8} \\ = \boxed{20}\)

Answer:

a. d = 3

b. e = 21

c. f = 4

Step-by-step explanation:

a.

\( { ({2}^{3}) }^{4} = {2}^{12} \)

b.

\( {3}^{5} \times {7}^{5} = {(3 \times 7)}^{5} = {21}^{5} \)

c.

\( {5}^{0} \times {5}^{4} = 1 \times {5}^{4} = {5}^{4} \)

Answer:

for 60 naira with a 15% off there would be a $9 dicount

Step-by-step explanation:

60*.15=9      discount rate

Answer: The quotient is 3y² + 2y - 1.

Step-by-step explanation:

You can use long division to solve this expression by setting the dividend under the roof and the divisor outside as you would normally do when dividing numbers.

1) Look at the first term of the dividend, 15y³, and the first term of the divisor, 5y. Determine what value multiplied by 5y would give you 15y³. The answer is 3y², and given the number, you multiply it by the WHOLE divisor.

3y²(5y + 6) = 15y³ + 18y² <-- subtract this from the dividend.

2) Continue this process and make sure to drag down the next term for each new value you form after subtracting. Keep in mind of any negative values! When you reach up to -5y, determine what value multiplied by 5y would give you the value of -5y, which would be -1.

3) You should be left with a remainder of 0, leaving you with a quotient of 3y² + 2y - 1.

Based on the set of transformations for trapezoid ABCD, the location of point A after the transformations are complete is: D. (−5, 1).

In Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has the coordinates (-x, -y).

By applying a rotation of 180° to the given point, the coordinates of its image is given by:

(x, y)                           →               (-x, -y)

Points A = (-5, 1)        →     Points A' = (-(-5), -(1)) = (5, -1).

Next, we would reflect the given point over the x-axis as follows;

(x, y)                           →              (x, -y)

Points A' = (5, -1)        →     Points A' = (5, -(-1)) = (5, 1)

Lastly, we would reflect the given point over the y-axis as follows;

(x, y)                           →              (-x, y)

Points A' = (5, 1)        →     Points A' = (-(5), 1) = (-5, 1)

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The equation that best describes the relation is y = -x+1 ( optionD)

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Taking x(0,1) and y ( 1,0)

therefore the slope of the line

= 0-1/1-0

= -1/1 = -1

the equation a line is given as

y-y1 = m(x-x1)

= y-1 = -1( x - 0)

= y-1 = -x

y = -x +1

therefore the equation that describe relation is y = 1-x or y = -x+1

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The rate (in km/h) at which the distance from the plane to the radar station is increasing a minute later is 0 km/h (rounded to the nearest whole number).

To solve this problem, we can use the concepts of trigonometry and related rates.

Let's denote the distance from the plane to the radar station as D(t), where t represents time. We want to find the rate at which D is changing with respect to time (dD/dt) one minute later.

Given:

The plane is flying with a constant speed of 360 km/h.

The plane passes over the radar station at an altitude of 1 km.

The plane is climbing at an angle of 30°.

We can visualize the situation as a right triangle, with the ground radar station at one vertex, the plane at another vertex, and the distance between them (D) as the hypotenuse. The altitude of the plane forms a vertical side, and the horizontal distance between the plane and the radar station forms the other side.

We can use the trigonometric relationship of sine to relate the altitude, angle, and hypotenuse:

sin(30°) = 1/D.

To find dD/dt, we can differentiate both sides of this equation with respect to time:

cos(30°) * d(30°)/dt = -1/D^2 * dD/dt.

Since the plane is flying with a constant speed, the rate of change of the angle (d(30°)/dt) is zero. Thus, the equation simplifies to:

cos(30°) * 0 = -1/D^2 * dD/dt.

We can substitute the known values:

cos(30°) = √3/2,

D = 1 km.

Therefore, we have:

√3/2 * 0 = -1/(1^2) * dD/dt.

Simplifying further:

0 = -1 * dD/dt.

This implies that the rate at which the distance from the plane to the radar station is changing is zero. In other words, the distance remains constant.

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Answer:

7 + 1 + 1 + 1 = 10

Step-by-step explanation:

This question is not very clear as to what is required, or any possible limitations. One possible solution is listed below, hope it does help.

Using the numbers 1, 6, and 7, you can get the number 10 through the following equation:

7 + 1 + 1 + 1 = 10

By adding 7 with three instances of 1, you obtain 10.

Answer:

B. Two dependent samples are compared

Step-by-step explanation:

We use it when we are comparing Two dependent samples. The paired t-test can be likened to the repeated measures ANOVA test. Both of these two test are useful when comparing how a static group does in different test conditions.

But the difference between these two are:

We use the paired t-test if the explanatory variable has two levels.

While the Repeated measures ANOVA is used when the explanatory variable has greater than two levels.

114 is 95% of 120

100% of 120 is 120, therefore 95 percent of 120 equals 114. To learn how to solve 114 is 95 percent of what number, see the step-by-step instructions below.

114 is 95 Percent of What Number?

Formula = Number x 100

Percent = 114 x 100

95 = 120

The following shows the steps to derive this formula and find out 95% of the number is 114.

Step 1: If 95% of a number is 114, then what is 100% of that number? Set up the equation.

114

95% = Y

100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get

95Y = 114 x 100

95Y = 11400

Y = 11400

100 = 120

The  volume of the sphere is calculated as  8,788 cm³.

The volume of the sphere is calculated using the following formulas as shown below;

V = ⁴/₃πr³

where;

The radius of the sphere is given as 13 cm

π is given as 3

The  volume of the sphere is calculated as follows;

V =  ⁴/₃πr³

V = ⁴/₃ x 3 x 13 x 13 x 13

V = 8,788 cm³

Thus, The  volume of the sphere is calculated by using the formula for volume of sphere.

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Step-by-step explanation:

Since 88 is for one night and 20 per night in fees and taxes.

Step 1 : Calculate for $88

\( \frac{88n}{88} \\ \)make N the subject of formula

\(n = \frac{88}{88} \\ \)

N= 1

Step 2: Calculate for $20

\( \frac{20n}{20} \\ \)

make N the subject of formula

\(n = \frac{20}{20} \)

N = 1

Answer:it’s b

Step-by-step explanation:

9514 1404 393

Answer:

  y +6 = 2(x -6)

Step-by-step explanation:

The slope can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -(-6))/(7 -6) = 2/1 = 2

The point-slope equation for a line is ...

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

Using the slope we found and the first point, the equation is ...

  y +6 = 2(x -6)

Answer:

Step-by-step explanation:

3.6*

It is very easy to find the perimeter of a square when its area is given in the question. For that, you only ned to know one fomula. That formula is: Area = side^2

For this particular question, the given value for the area of the square is 36 sq.cm. So, we can solve for the side(s) by substituting the given value in the above mentioned formula.

We get

36 = s^2

Now, we need to get the square root of both sides, which gives us

s = √36 s = 6 cm

Since all the sides of a square are equal in length, the side length is 6 cm. Now to determine the perimeter, we must multiply the side length by 4 (because there are 4 equal sides in a square). That gives us Perimeter = 4 x side length Perimeter = 4 x 6 cm.

Therefore, the perimeter of the square is 24 cm.

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The solution of the linear equation  is determined as x = -4.

The solution of the linear equation is calculated by applying the following method as follows;

The given linear equation;

2/x+3 - 1/x = -4/x² +3x

We can start by simplifying the equation and getting rid of the fractions.

Multiplying every term by x will help us achieve that:

2 + 3x - 1 = -4/x + 3x²

Simplifying further:

2 + 3x - 1 = (-4 + 3x²) / x

Combining like terms:

3x + 1 = (-4 + 3x²) / x

(x)(3x + 1) = -4 + 3x²

3x² + x = -4 + 3x²

We can subtract 3x² from both sides:

x = -4

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Answer:

300 Calories

Step-by-step explanation:

75/2=37.5/1 Divide to fine the unit rate Dessert has 37.5 calories In 1 ounce 37.5 calories x 8 ounces = 300 calories

Using an area model, we can determine that the quotient of 3,566 divided by 17 is 210 with a remainder of 13/17.

To determine the quotient of 3,566 divided by 17 using an area model, we can represent the numbers using a rectangular grid.

First, create a rectangular grid with 3,566 units as the total area. Divide the grid into 17 equal sections horizontally. Each section will represent the value of 17.

Now, we need to see how many times 17 can fit into 3,566. Starting from the left, fill the grid with 17 units horizontally until you reach a point where you cannot fit any more complete sections of 17. Count the number of complete sections filled in, and this will give us the whole number part of the quotient.

In this case, we can fit 210 complete sections of 17 in 3,566. So far, we have:

3,566 ÷ 17 = 210

Next, we need to determine the remaining part after filling in the complete sections. The remaining area represents the numerator of the fraction part of the quotient. Count the number of units that are not covered by the complete sections. In this case, there are 13 units left.

Now, we have:

3,566 ÷ 17 = 210 + 13/17

The final quotient is 210 and 13/17. This means that 3,566 divided by 17 is equal to 210, with a remainder of 13 units, which is represented as a fraction 13/17.

In summary, using an area model, we can determine that the quotient of 3,566 divided by 17 is 210 with a remainder of 13/17.

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Answer:

Step-by-step explanation:

Let's start by using the formula for the perimeter of a rectangle:

P = 2L + 2W

where P is the perimeter, L is the length, and W is the width.

We are given that the perimeter is 70 cm, so we can substitute this in the formula:

70 = 2L + 2W

Dividing both sides by 2, we get:

35 = L + W

We are also given that the length is six times the width, so we can write:

L = 6W

Substituting this in the equation we just derived, we get:

35 = 6W + W

Simplifying, we get:

35 = 7W

Dividing both sides by 7, we get:

W = 5

So the width of the rectangle is 5 cm.

Using the equation L = 6W, we can find the length:

L = 6 x 5 = 30

So the length of the rectangle is 30 cm.

Therefore, the length of the rectangle is 30 cm and the width is 5 cm.

Answer:

Step-by-step explanation:

Hi!

1. Since there are 7 children and 4 pizzas, we can write and equation to solve this.

4/7= Number each member ate in pizzas.

2. Solve :

4/7=0.57142857142

Answer: Each person ate 0.57142857142 or of the pizza

Answer:

midsegment = 23

Step-by-step explanation:

the midsegment is half the sum of the bases, that is

midsegment = \(\frac{18+28}{2}\) = \(\frac{46}{2}\) = 23

Answer:

the sole proprietor is personally liable for damages the injured woman is awarded by the courts.

Step-by-step explanation:

Answer:

height=3.28m

Step-by-step explanation:

air means volume of room

let the height of room be x.

so, volume of room= 156.1 m³

          8.31*5.72*x=156.1m³

           x =3.28m

(-32)

Step-by-step explanation:

(-24)+(-8)

= -24 -8

= -32

Yes, human can distinguish pixels on a same-sized HDTV with 2 times 10 to the 6th power pixels.

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.

In the scientific form, we write a number in the form of base×10ⁿ.

Where 0 ≤ base < 10 and n can be any rational number.

Given,

Humans can distinguish up to 18,400,000 individual dots called pixels on a typical computer display

We need to check whether human distinguish pixels on a same sized HDTV with 2 x 10 to the 6th power pixels

2×10⁶ pixels.

= 2000000 pixels.

As  2000000 < 18400000

Hence, human can distinguish pixels on a same-sized HDTV with 2 times 10 to the 6th power pixels.

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Then you can state that angle DEF is congruent to angle GHJ.

The postulate or theorem that allows you to state that angle DEF is congruent to angle GHJ is the Angle-Angle (AA) Postulate.

This postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the third pair of angles must also be congruent.

In this case, if you have two triangles, one with angles DEF and the other with angles GHJ, and

you know that angle D is congruent to angle G and angle E is congruent to angle H, then by the AA Postulate, you can conclude that angle F is congruent to angle J.

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Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{60}}}}}\)

Step-by-step explanation:

Using PEMDAS rule

Parentheses, Exponents , Multiplication, Division, Addition, Subtraction

\( \sf{4 [ 3 + 3(5 - 1) ]}\)

Subtract 1 from 5

\( \longrightarrow{ \sf{4 [3 + 3 \times 4  ]}}\)

Multiply the numbers : 3 and 4

\( \longrightarrow{ \sf{4 [ 3 + 12  ]}}\)

Add the numbers : 3 and 12

\( \longrightarrow{ \sf{4 \times 15}}\)

Multiply the numbers : 4 and 15

\( \longrightarrow{ \sf{60}}\)

Hope I helped!

Best regards! :D