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snow_lady [41]
3 years ago
7

What is the equation of the line that passes through (-3, -1) and has a slope of 3/5 ? Put your answer in slope-intercept form.

A.y= 3/5x+4/5 B.y= 3/5x-4/5 C.y=-3/5x-4/5
Mathematics
1 answer:
Verizon [17]3 years ago
6 0

Slope-intercept form: y = mx + b

m = the slope

b = y-intercept.

In this problem,

m = 3/5

b = ?

So far y = 3/5x + b

Let's plug the point (-3, -1) into our slope equation.

-1 = 3/5(-3) + b

Simplify the right side.

-1 = -9/5 + b

Add 9/5 to both sides.

4/5 = b

The equation is: y = 3/5x + 4/5

Answer choice A is correct.

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The following is a recipe for Gazpacho, a cold vegetable soup. Write how much of each item in the
denis23 [38]

9514 1404 393

Answer:

  replace recipe quantities:

  1/4 ⇒ 5/8; 1/2 ⇒ 1 1/4; 1 ⇒ 2 1/2; 1 1/2 ⇒ 3 3/4; 2 ⇒ 5

Step-by-step explanation:

The given recipe serves 4, so must be multiplied by 10/4 = 5/2 to make it make 10 servings.

The numbers in the recipe (ignoring units or ingredients) are ...

  1/4, 1/2, 1, 1 1/2, 2

Each of these numbers needs to be multiplied by 5/2 to get the number for the larger recipe.

  1/4 × 5/2 = 5/8

  1/2 × 5/2 = 5/4 = 1 1/4

  1 × 5/2 = 5/2 = 2 1/2

  (1 1/2) × 5/2 = 3/2 × 5/2 = 15/4 = 3 3/4

  2 × 5/2 = 5

Then, to make the larger recipe, rewrite it with the quantities replaced as follows:

  old value ⇒ new value

  1/4 ⇒ 5/8

  1/2 ⇒ 1 1/4

  1 ⇒ 2 1/2

  1 1/2 ⇒ 3 3/4

  2 ⇒ 5

__

For example, 1 1/2 lbs of fresh tomatoes ⇒ 3 3/4 lbs of fresh tomatoes

_____

<em>Additional comment</em>

If you actually want to create the recipe, you may find it convenient to use a spreadsheet to list quantities, units, and ingredient names. Then you can add a column for the quantities for a different number of servings, and let the spreadsheet figure the new amounts. (A spreadsheet will compute quantities in decimal, so you will need to be familiar with the conversions to fractions--or use metric quantities.)

8 0
3 years ago
HELP does anyone get these three questions?
Tom [10]

Step-by-step explanation:

since we have the relation (inches/dollars)

4.3 inches down per dollar

per 10 dollars 43 inches down

per half a dollar 2.15 inches down

per 63.60 dollars 273.48 inches down

8 0
3 years ago
Which of the following is not a correct description of the graph of the function y = -2x - 7?
swat32
The graph of the function contains the points (0,-7), (1,-9), and (3,-1) is incorrect

it contains all the points except the last set...(3,-1)
y = -2x - 7
-1 = -2(3) - 7
-1 = -6-7
-1 = - 13 (incorrect)
7 0
3 years ago
Solve the quadratic equation 3x²-3x-1=0?<br>(by using the square method)​
ohaa [14]

Answer:

x=1 and x=-1/3

Step-by-step explanation:

3x^2-2x-1=0\\\\3(x^2-\frac{2}{3}x-\frac{1}{3})=0\\ \\3(x^2-\frac{2}{3}x-\frac{1}{3}+\frac{4}{9})=3(\frac{4}{9})\\ \\ 3(x^2-\frac{2}{3}x+\frac{1}{9})=\frac{4}{3}\\ \\ 3(x-\frac{1}{3})^2=\frac{4}{3}\\ \\(x-\frac{1}{3})^2=\frac{4}{9}\\ \\x-\frac{1}{3}=\pm\frac{2}{3}

x-\frac{1}{3}=\frac{2}{3}\\ \\x=\frac{3}{3}\\ \\x=1

x-\frac{1}{3}=-\frac{2}{3}\\ \\x=-\frac{1}{3}

Therefore, x=1 and x=-1/3

8 0
3 years ago
Determine the equation for the quadratic relationship graphed below.
kap26 [50]

Answer:

\large \boxed{\sf \bf \ \ y=3x^2-6x-1 \ \ }

Step-by-step explanation:

Hello, please consider the following.

We can read from the graph that the vertex is (1,-4) , it means that the equation is, a being a real number.

y=a(x-1)^2-4

And the point (0,-1) is on the graph so we can write.

a\cdot 1^2-4=-1 \\\\a-4+4=-1+4\\\\a = 3

So the equation is.

y=3(x-1)^2-4\\\\=3(x^2-2x+1)-4\\\\=3x^2-6x+3-4\\\\=3x^2-6x-1\\\\=\boxed{3}x^2\boxed{-6}x\boxed{-1}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

6 0
3 years ago
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