What is the slope-intercept form of the line with the point (0, 3) and a slope = -2?O A. y = 2x + 3O C. y = -2x + 3D. y = -2x - 3B. y = 2x - 3

y = -3x is the equation of a line, with a slope of -3 and a y-intercept of 0

Solution

We can do the following:

Ax + By + C= 0

Rewriting the line we got:

1x +1y +3=0

And the point is: (x= 2, y= 3)

and we can use the following formula:

Step-by-step explanation:

red: y=2x-1

blue: y=-2/5x-1

Given:

Substitute the value of m=2 and n=3 into the

Let's begin by listing out the information given to us:

|CD| = 9.5, |CE| = 13.75, |AC| = 13.75 + 5.5 = 19.25, |BC| = 9.5 + x

Using Triangle proportionality theorem, we have:

Given the equation:

It's required to solve it for h, that is, isolate h as the only letter on the left side of the equation.

First, swap sides.

Then, divide both sides of the equation by b:

Simplify the left side:

we can rewrite the expression with a factor

and we can rewrite again with the other factor "d"

Consider the given equation,

Put x = a in the equation,

So the graph of the function passes through (a,0), which is a valid point.

So, option (I) is correct.

Similarly, when substituting the other values, it is obtained that the curve of the given function passes through points (b,0) and (c,0).

But this contradicts with the statements in (II) and (III) respectively.

Therefore, it can be concluded that only statement (I) is correct.

Solution

Exponential expressions with natural base e are of the form

The value of 'a' is already set to be 96 since this is the coefficient of the given equation. We just need to find k

so set 3.8^x as e^kx and solve for k

The two sides have the same exponent of x. So the two bases are 3.8 and

e^k must be equal to

This means

and we replace the

to go from

to

Therefore the correct answer is

Answer:

$883.75

Explanation:

The cost of 1 square foot of topsoil = $1.25.

Thus, the cost of 707 square feet of topsoil:

We will have that the law of sines won't give us any more information under the following situation:

*Two sides and the included angle are given. [Option A]

The equation of a line in the slope intercept form is expressed as

y = mx + b

where

m represents slope

b represents y intercept

The formula for finding slope is

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

From the graph,

When x1 = 1, y1 = - 2

when x2 = 2, y = 1

Slope = (1 - - 2)/(2 - 1) = 3/1

Slope = 3

The y intercept is the value of y at the point where the line cuts through the y axis. Thus, y intercept = - 5

To write the equation of the line, we would substitute m = 3 and b = - 5 into the slope intercept equation. Thus, the equation of the line is

y = 3x - 5

Answer:

25 gallons

Explanation:

Let's call x the number of gallons that the container can hold.

The container starts half full, so it starts with (1/2)x gallons, then they pour out 5 gallons to let the container 3/10 full, so we need to subtract 5 gallons to get (3/10)x gallons. It means that we can write the following equation

Now, we can solve the expression for x, so

Therefore, the container can hold 25 gallons.

The inequality shown is -4 ≤ x ≤ 3.

In graph, as we can see the dots are solid that means inequality is not strict which leads to use of equal sign as well.

In graph, the line is from -4 to 3, that means the number exists between or equals to -4 and 3.

Hence, inequality is -4 ≤ x ≤ 3.

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The number that Elena calculated is the constant of proportionality, which express the ratio of two proportional quantities. In this case, it expresses how much does the amount of tomatoes vary when the amount of onions varies, this is a directly proportional relationship.

Given:

mean, u = 0

standard deviation σ = 1

Let's determine the following:

(a) Probability of an outcome that is more than -1.26.

Here, we are to find: P(x > -1.26).

Apply the formula:

Thus, we have:

Using the standard normal table, we have:

NORMSDIST(-1.26) = 0.1038

Therefore, the probability of an outcome that is more than -1.26 is 0.1038

(b) Probability of an outcome that

Answer:

27/55 × 100 = 49.0909090909 %

Answer:

The measures of the two angles are 46° and 134°.

Explanation:

Let x and y be the two angles:

x+y=180

It is mentioned that the measure of one angle is 4 degrees less than three times the other.

Let:

y=3x-4

Then, we substitute y=3x-4 into x+y=180.

So,

We substitute x=46 into x+y=180. So,

Therefore, the measures of the two angles are 46° and 134°.

7-(-0.9)

7+ 0.9 = 7.9

Number line:

Answer:

The cost per mile for each and all the expenses is;

Explanation:

Given that;

An accountant executive had car expenses of $1025.58 for insurance, $1805.82 for gas, $37.92 for oil, and $288.27 for maintenance during the year.

The sum of the four expenses is;

During the year it travels 11,320 miles.

The cost per mile for each of the items are;

For Insurance;

For gas;

For oil;

For maintenance;

The total cost per mile will be;

The cost per mile for each and all the expenses is;

Total = 10 cakes

Flour = 1 3/4

Sugar = 2 1/2

Change the fractions to improper fractions

Flour = 1 3/4 = 7/4

Sugar = 2 1/2 = 5/2

Multiply each numbher by 10

Flour = 7/4 x 10 = 70/4

Sugar = 5/2 x 10 = 50/2

Change to proper fractions

Flour = 17 1/2 cups

Sugar = 25 cups

The percentage of the beads on clearance are plastic is 92%.

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that At Hayley’s Beading Boutique there are 23 plastic beads and 2 metal beads on clearance.

The percentage will be calculated as,

P = 23 / 25

P = 0.92

Multiply by 100 to convert into a percentage,

P = 92%

Therefore, the percentage of the beads on clearance are plastic is 92%.

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Answer:

The number in the tenths place is

Rounding the number to the tenths place, we have;

Explanation:

Given the number;

The number in the tenths place is the first number after the decimal point. Which is;

Rounding the number to the tenths place, we have;

Explanation

Answer:

The carpenter can build the triangular frame by cutting the 12 foot piece by 2foot

Answer:

7.) The coordinates of point K are (10,8)

8.) The length of the radius, to the nearest hundreth, is of 4.24 units.

Step-by-step explanation:

P is the center of a circle with diameter KR:

This means that P is the midpoint between K and R.

I will see that the points are:

Since P is the midpoint:

P(7,-5) and R(4,-2)

This means that:

7. If P(7,-5) and R(4,-2), find the coordinates of point K

Substituting:

Now we do the same for y:

Replacing with what we have

The coordinates of point K are (10,8)

8. What is the length of the radius to the nearest hundredth?

The radius is half the diameter(distance between KR divided by 2). It can also be the distance between an endpoint of the circle and the centre(Distance between P and K, or between P and R).

I am going to calculate the distance between P and R.

P(7,-5) and R(4,-2). So

The length of the radius, to the nearest hundreth, is of 4.24 units.

We need to use some properties of the kyte:

· The opposite obtuse angles are equal. In the figure, this means ∠WZY = ∠WXY

· The large diagonal bisects the angles ∠ZWX and ∠XYZ

56 ask us to find m∠XYZ. We can note that the angles ∠ZXY and ∠XZY are congruent. And we know that the interior angles of the triangle XYZ add to 180º.

m∠VXY = m∠VZY = 58º

Then:

The answer to 56. is 64º

57 ask us to find m∠ZWV, we can use the second property listed above. The large diagonal bisects the angle ∠ZWX. Since we know ∠ZWX = 50º, then:

The answer to 57 is 25º

58 ask us to find m∠VZW. We know that the sum of all internal angles of a kite (or any quadrilateral), is 360º.

We know:

m∠ZWX = 50º

m∠WZY = m∠WXY

m∠XYZ = 64º

Then:

And:

Now replace the known values of m∠WZY = 123º and m∠VZY = 58º:

The answer to 58 is 65º

59 ask us to find m∠WZY, we sis it in 58 to find m∠VZW.

The answer to 59 is 123º

Step 1:

Most mortgages are also simple interest loans, although they can certainly feel like compound interest. In fact, all mortgages are simple interest except those that allow negative amortization. An important thing to pay attention to is how the interest accrues on the mortgage.

Step 2:

Step 3:

Write the given data

P = $80000

t = 30 years

r = 10%

Step 4

Final answer

Interest = $240000

Step 1:

What is the complement of set A' ? are elements or members of set A that are not in the universal set U.

Step 2

Set A = {g,y,m,n,a,s,t,i,c}

Universal set U = {a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}

Step 3:

A' = {b, d, e, f, h, j, k, l, o, p, q, r, u, v, w, x, z}

Final answer

A' = {b, d, e, f, h, j, k, l, o, p, q, r, u, v, w, x, z}

Explanation

The price of the calculator is discounted 45%al