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3 years ago

Which of the following graphs matches the equation y=−4x+3?

Mathematics

2 answers:

yaroslaw [1]3 years ago

5 0

Answer:

the third one

Step-by-step explanation:

have a great day!!

Ghella [55]3 years ago

4 0

Answer:

graph 2

Step-by-step explanation:

because the 4×is in the negative line on the y axe and 2 is on the x axe positive line

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What is the equation of the line that passes through (-2, 2) and (1, -4)?

poizon [28]

Answer:

y = - 2x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ = (- 2, 2) and (x₂, y₂ ) = (1, - 4)

m = $\frac{-4-2}{1+2}$ = $\frac{-6}{3}$ = - 2, thus

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 2, 2), then

2 = 4 + c ⇒ c = 2 - 4 = - 2

y = - 2x - 2 ← equation of line

3 0

3 years ago

Last month in the village of 125 people we’re issued a parking ticket. This month only 83 people were issued one. What was the p

natita [175]

Answer:

the percent reduction is 33.6% and the number of people who were issued a parking ticket are 42.

Step-by-step explanation:

Given:

Last month in the village of 125 people were issued a parking ticket.

This month only 83 people were issued one.

Now, to find the percent reduction from this month to last month and the number of people who were issued a Parking ticket.

So, the reduction of the number of people who were issued a Parking ticket from this month to last month are:

125 people - 83 people = 42 people.

Thus, 42 people reduction from this month to last month.

Now, to get the percent reduction:

$\frac{42}{125}\times 100.$

$=\frac{4200}{125}$

$=\ 33.6\%$

Therefore, the percent reduction is 33.6% and the number of people who were issued a parking ticket are 42.

7 0

3 years ago

HELP?!??!??!!??!!!!?

larisa86 [58]

Answer:

I believe the answer is 105 pages

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

How do banks use deposits?

TEA [102]

As mentioned before, banks basically make money by lending money at rates higher than the cost of the money they lend. More specifically, banks collect interest on loans and interest payments from the debt securities they own, and pay interest on deposits, CDs, and short-term borrowings.

3 0

3 years ago

Can you please help me find the area? Thank you. :)))

Phoenix [80]

The figure shown in the picture is a rectangular shape that is missing a triangular piece. To determine the area of the figure you have to determine the area of the rectangle and the area of the triangular piece, then you have to subtract the area of the triangle from the area of the rectangle.

The rectangular shape has a width of 12 inches and a length of 20 inches. The area of the rectangle is equal to the multiplication of the width (w) and the length (l), following the formula:

$A=w\cdot l$

For our rectangle w=12 in and l=20 in, the area is:

$\begin{gathered} A_{\text{rectangle}}=12\cdot20 \\ A_{\text{rectangle}}=240in^2 \end{gathered}$

The triangular piece has a height of 6in and its base has a length unknown. Before calculating the area of the triangle, you have to determine the length of the base, which I marked with an "x" in the sketch above.

The length of the rectangle is 20 inches, the triangular piece divides this length into three segments, two of which measure 8 inches and the third one is of unknown length.

You can determine the value of x as follows:

$\begin{gathered} 20=8+8+x \\ 20=16+x \\ 20-16=x \\ 4=x \end{gathered}$

x=4 in → this means that the base of the triangle is 4in long.

The area of the triangle is equal to half the product of the base by the height, following the formula:

$A=\frac{b\cdot h}{2}$

For our triangle, the base is b=4in and the height is h=6in, then the area is:

$\begin{gathered} A_{\text{triangle}}=\frac{4\cdot6}{2} \\ A_{\text{triangle}}=\frac{24}{2} \\ A_{\text{triangle}}=12in^2 \end{gathered}$

Finally, to determine the area of the shape you have to subtract the area of the triangle from the area of the rectangle:

$\begin{gathered} A_{\text{total}}=A_{\text{rectangle}}-A_{\text{triangle}} \\ A_{\text{total}}=240-12 \\ A_{\text{total}}=228in^2 \end{gathered}$

The area of the figure is 228in²

8 0

1 year ago