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3 years ago

What is the y-intercept of the line?

Mathematics

1 answer:

Vaselesa [24]3 years ago

7 0

Answer:

Step-by-step explanation:

The y-intercept is the point at which the line pases the y-axis.

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What is the equation in vertex form of the quadratic function with a vertex at (-1, -4) that goes through (1, 8)?

cestrela7 [59]

Answer:

y = 3(x+1)^2 - 4

Step-by-step explanation:The general form of the equation of a quadratic function whose vertex is (h,k) and whose leading coefficient is a is:

y - k = a(x-h)^2, or

y = a(x-h)^2 - k

Substituting the coefficients of the vertex (-1, -4), we get:

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

Substituting the coordinates of the given point, (1,8), we get:

8 = a(1+1)^2 - 4, which simplifies to:

8 = a(2)^2 - 4, or

8 = 4a - 4. Then 4a = 12, and a = 3.

Thus, the desired equation is y = 3(x+1)^2 - 4 (answer j).

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3 years ago

Write a possible equation for each graph. Help me please

djyliett [7]

Answer:

a. y = -x² + 2x - 8

b. y = $\frac{1}{x-2}$

c. y = x³+ 3

Step-by-step explanation:

3 0

3 years ago

Given A(-3, 4), B(0, 1), and C(4,2), reflect as follows: Ry-axis(ABC). What is B

lions [1.4K]

That’s answer is A)-3,4) because you reflect as follows

6 0

3 years ago

I need help with this math question. What is the Area of this shape?

zubka84 [21]

Answer:

A=174

Step-by-step explanation:

Step 1: Separate the figure into two separate shapes, a triangle and a square

Step 2: Find the dimensions of the triangle and square.

Square - l=12 w=12

Triangle - h=5, b=12. (The height was found by subtracting the length of the square (12) from the total length (17).

Step 3: Solve by using formulas

A=(5)(12)/2=30

A=12*12=144

Step 4: Add the parts together

144+30=174

A=174

5 0

3 years ago

Read 2 more answers

The ratio of the number of dogs the number of cats is 4:5. There are 270 animals on the rescue Farm. The number of dogs is 4/5.

mafiozo [28]

Answer:

<em>Here is the complete question:</em>

The ratio of the number of dogs to the number of cats is 4:5. There are 270 animals on the rescue farm. for each of the following statements, explain whether statements is true or false and why:

a. The number of dogs is 4/5 the number of cats.

b. 4/5 of the pets at the farm are dogs.

c. There are exactly 30 more cats than dogs.

d. There are exactly 30 dogs at the farm.

e. 5/9 of the pets at the farm are cats.

a,c and e are true statements.

Step-by-step explanation:

Let the number of dogs be "d' and number of cats be "c".

According to the question:

⇒ $c+d=270$ ...equation (i)

Arranging the ratio:

⇒ $\frac{4}{5} = \frac{d}{c}$

⇒ $4c=5d$

⇒ $c=(\frac{5}{4})d$ ...equation (ii)

Plugging (ii) in equation (i).

⇒ $c+d=270$

⇒ $\frac{5}{4} d+d=270$

⇒ $\frac{5d+4d}{4} =270$

⇒ $9d=270\times 4$

⇒ $d=\frac{270\times 4}{9}$

⇒ $d=120$

Number of dogs "d" = 120

Number of cats "c" = (270-120) = 150

Lets check each statement:

The number of dogs is 4/5 the number of cats.

⇒ $\frac{4}{5} \times 150$

⇒ $\frac{4\times 150}{5}$

⇒ $120$

Statement is true.

4/5 of the pets at the farm are dogs.

⇒ $\frac{4}{5} \times 270$

⇒ $216$

Number of dogs = 120

So the above statement is false.

There are exactly 30 more cats than dogs.

⇒ $c-d =30$

⇒ $150-120=30$

Statement is true.

There are exactly 30 dogs at the farm.

False, as there are 120 dogs

5/9 of the pets at the farm are cats.

⇒ $\frac{5}{9} \times 270$

⇒ $150$

Statement is true.

So,

Statement a,c and e are true as we could observe in the explanation.

8 0

3 years ago

What is the y-intercept of the line?​

What is the y-intercept of the line?