Show ur work plz! ............

A basket contains five apples and seven peaches. You randomly select one piece of fruit and eat it. Then you randomly select ano

IgorC [24]

Answer:

Step-by-step explanation:

Total fruits T= 5+7 = 12

No. Of apple n(A) = 5

No. Of peaches n(P) = 7

P(A) 1st = n(A)/T = 5/12

P(P) 2nd = n(p)/(T-1) = 7/11

: P(A and P) = 5/12 × 7/11

= 35/132

4 0

3 years ago

Use the intercepts of the following quadratic curve to find its graph.y = -1/2x^2 -3/2x+2

Solnce55 [7]

The correct graph is fourth option

Explanation: $\begin{gathered} \text{The quadratic function:} \\ \text{y = }\frac{-1}{2}x^2\text{ - }\frac{3}{2}x\text{ + 2} \end{gathered}$

Using the intercepts: we have x-intercept and y-intercept

To get x intercept, we will equate the function to zero. That is y = 0

$\begin{gathered} 0\text{ = }\frac{-1}{2}x^2\text{ - }\frac{3}{2}x\text{ + 2} \\ mu\text{ltiply through by 2:} \\ 0=-x^2\text{ - 3x + 4} \\ x^2\text{ + 3x - 4 = 0} \\ x^2\text{ - x + 4x - 4 = 0} \\ x(x\text{- 1) +4(x - 1) = 0} \\ (x\text{ + 4)(x - 1) = 0} \\ x+4\text{ = 0 or x - 1 = 0} \\ x\text{ = -4 or x = 1} \end{gathered}$

x intercepts are x = -4 and x = 1

This means the line will cross the x axis at two points: x = -4 and x = 1

To get y-intercept, we will equate x to zero:

$\begin{gathered} \text{y = }\frac{-1}{2}(0)^2\text{ - }\frac{3}{2}(0)\text{ + 2} \\ y\text{ = 0 - 0 + 2} \\ y\text{ = 2} \end{gathered}$

y-intercept = 2

This means the line will cross the y axis at y = 2

The correct graph is fourth option

8 0

1 year ago

How is 5 1/2inches the same as 11 half inches?

arlik [135]

Well you add 1/2 + 1/2 = 1 in
(1/2+1/2) + (1/2+1/2) + (1/2+1/2) + (1/2+1/2) + (1/2+1/2) + 1/2=
2 half inches per parentheses pairs which is 5 plus the 1/2 inch
( 11 half inches shown above)

5 0

4 years ago

Read 2 more answers

A water tank holds 944 gallons but is leaking at a rate of 5 gallons per week. A second water tank holds 1,180 gallons but is le

podryga [215]

Answer:

59

Step-by-step explanation:

The equation is

944 - 5x = 1180 - 9x

Notice what is being said. You start with 944 gallons and take off 5 per week

You also start with 1180 gallons and take on 9 per week.

You want to know when the two are equal. The second tank is larger, but it leaks more. That's what's going to bring about equality.

Add 9x to both sides

944 - 5x + 9x = 1180

944 + 4x = 1180

Subtract 944 from both sides.

4x = 1180 - 944

4x = 236

Divide by 4

x = 236/4

x = 59 weeks

8 0

3 years ago

Vocabulary Choose the example of an inverse relationship.

natulia [17]

Answer:

which statement is equivalent to the inequality 14x-14>-7x+7

x>21

x>1

x<