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andreev551 [17]
3 years ago
9

Help, I really need help and I've been stuck on this one ^^^

Mathematics
1 answer:
Lostsunrise [7]3 years ago
3 0

Hey there! :)

Let's put all of our facts down first. We know that slope-intercept form is y=mx+b , where m=slope & b is the y-intercept.

So, if we're given the slope and y-intercept, then we can very simply plug those values into slope-intercept form!

Our slope is 4 and our points are (0, -1).

y = mx + by = (4)x + (-1)

Get rid of our parenthesis.y = 4x - 1

So, our equation of the line that passes through (0, -1) and has a slope of 4 is y = 4x - 1

~Hope I helped!~

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Which factorization is equivalent to this expression?
grigory [225]

Answer:

10(3x+7)

Step-by-step explanation:

we have the expression:

30x + 70

To factor this expression we need to indentify the components that are common in both terms.

At first glance there is nothing in common, but we can notice that 30 and 70 are multiples of 10, that is:

10*3=30\\10*7=70

so we can substitute this into the expression:

10*3x+10*7

and now that we have the common term (the number 10) we can factorize it, that is, take out the common term and include a parentheses:

10(3x+7)

8 0
3 years ago
Find the volume of the square pyramid showing. round to the nearest 10th if necessary
solong [7]
The volume of a square pyramid is (1/3)(area of base)(height of pyramid).

Here the area of the base is (10 ft)^2 = 100 ft^2.

13 ft is the height of one of the triangular sides, but not the height of the pyramid.  To find the latter, draw another triangle whose upper vertex is connected to the middle of one of the four equal sides of the base by a diagonal of length 13 ft.  That "middle" is 5 units straight down from the upper vertex.  Thus, you have a triangle with known hypotenuse (13 ft) and known opposite side 5 feet (half of 10 ft).  What is the height of the pyramid?  
To find this, use the Pyth. Thm.:  (5 ft)^2 + y^2 = (13 ft)^2.  y = 12 ft.

Then the vol. of the pyramid is (1/3)(area of base)(height of pyramid) =
(1/3)(100 ft^2)(12 ft) = 400 ft^3 (answer)
5 0
3 years ago
Given: x - 5 > -2. Choose the solution set. {x | x R, x > -7} {x | x R, x > -3} {x | x R, x > 3} {x | x R, x > 7}
sweet-ann [11.9K]

Answer:

{x | x ∈ R, x > 3}

Step-by-step explanation:

We are given the following inequality:

x - 5 > -2

In order to find the solution, we have to isolate the x on one side. This can be done by adding 5 to both sides of the inequality as shown below:

x - 5 + 5 > -2 + 5

x > 3

So the solution of the inequality is set of all numbers where x > 3. This is represented by 3rd option.

So, {x | x ∈ R, x > 3} is the answer.

4 0
3 years ago
How many 2/3 cups servings are in a 4 cup container of food
blondinia [14]


6 because if you multiply 2/3 by 6 it will give 4

3 0
3 years ago
The width of a rectangle is 7 inches less than its length. The area of the rectangle is 120 square inches. Solve for the dimensi
pav-90 [236]

Answer:

Length is 15 inches

Width is 8 inches

Step-by-step explanation:

A = L*W

the Width = L-7

120 = L (L-7)

120 = L^2-7L

subtract 120 from each side

0 = L^2 - 7L - 120

(L-15) (L +8 )

so L = 15  inches

and W = 15-7 = 8 inches

check your answer: does 15*8 = 120? yes!

6 0
3 years ago
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