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MakcuM [25]
3 years ago
8

Write a quadratic equation using the roots 5 and -1/4

Mathematics
1 answer:
attashe74 [19]3 years ago
7 0
Well since we know the roots are x = 5 and x = -1/4. We can convert it into an equation and make it equal to 0.

Simply work backwards instead of solving for x. For x = 5, it would be x - 5 = 0, because if you solve for x it will be 5.

Same thing for x = -1/4, the equation would be x + 1/4 = 0.

(X-5)(x+1/4) = 0.

Now multiply the 2 binomials together to get the quadratic. To get rid of the fraction after obtaining the quadratic multiply by 4 for each term in the quadratic.

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Brian gave 1/4 of his stickers to Pete and 20 stickers to Lily. He then had 1/3 of his stickers left. How many stickers did he h
Oduvanchick [21]
Find a common denominator first.
P3/12. + 5/12
4/12 left

48 stickers
8 0
4 years ago
Graph the function f(x) = (x + 1)(x - 5). Use the drop-
hodyreva [135]

Answer:

3) (2,-9)

4) (0,-5)

5) (1,-8)

Step-by-step explanation:

3)

The vertex will occur between you x-intercepts.

You already found that happens at x=2.

To find the corresponding y-coordinate, replace x in

f(x)=(x+1)(x-5) with 2:

f(2)=(2+1)(2-5)

f(2)=(3)(-3)

f(2)=-9

So the vertex is (2,-9).

4)

The y-intercept is when x=0.

So in f(x)=(x+1)(x-5) replace x with 0:

f(0)=(0+1)(0-5)

f(0)=(1)(-5)

f(0)=-5

So the y-intercept is (0,-5).

5)

To find another point just plug in anything besides any x already used.

We preferably want to use a value of x that will keep us on their grid however far up,down,left, or right their grid goes out. So I'm going to choose something close to the vertex which is at x=2. Let's go with x=1.

So replace x in f(x)=(x+1)(x-5) with x=1:

f(1)=(1+1)(1-5)

f(1)=(2)(-4)

f(1)=-8

So another point to graph is (1,-8).

7 0
4 years ago
Brandon and Denny are playing a video game. Brandon has 3 times as many points as Denny l. Brandon has 12 points. How many point
Ann [662]

Answer:

it is 4

Step-by-step explanation:

12 ÷ 3 = 4

3 x 4 = 12

4 x 3 = 12

5 0
3 years ago
Triangle MNP is dilated according to the rule DO,1.5 (x,y)Right arrow(1.5x, 1.5y) to create the image triangle M'N'P, which is n
Vikki [24]

Given:

The vertex of a triangle MNP are M(-4, 6), N(2, 6), and P(-1, 1).

The rule of dilation is:

(x,y)\to (1.5x,1.5y)

The image of triangle MNP after dilation is M'N'P'.

To find:

The coordinates of the endpoints of segment M'N'.

Solution:

The end points of MN are M(-4, 6) and N(2, 6).

The rule of dilation is:

(x,y)\to (1.5x,1.5y)

Using this rule, we get

M(-4,6)\to M'(1.5(-4),1.5(6))

M(-4,6)\to M'(-6,9)

And,

N(2,6)\to N'(1.5(2),1.5(6))

N(2,6)\to N'(3,9)

The endpoints of M'N' are M'(-6, 9) and N'(3, 9).

Therefore, the correct option is B.

8 0
3 years ago
Suppose y varies directly as x write a direct variation equation that relates x and y
Oksana_A [137]

Answer:

y=2/3x

Step-by-step explanation:

A direct variation equation is y=kx. if k=2/3, then if x was 9,y would be 6.

6 0
4 years ago
Read 2 more answers
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