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3 years ago

Reese had $42 in his pocket orl Sunday night. He spent $6.50 every day for lunch.

Mathematics

1 answer:

devlian [24]3 years ago

8 0

It’s the 3rd one bro! He has 42 total and it subtracts by 6.50$ every day

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Find the quation of the quadratic function with roots 0 and 4 and a vertex at (2,-2)

Nookie1986 [14]

Answer:

y = (1/2)x² -2x

Step-by-step explanation:

recall that the general equation of a quadratic function is:

y = Ax² + Bx + C

given that 0 and 4 are roots, that means when x = 0 and x = 4, then y = 0

From this we can get 2 points on the curve, namely, (0,0) and (4,0)

substituting these points one at a time into the equation above,

for the first point (0,0),

0 = A (0)² + b(0) + C

C = 0

hence the equation becomes: y = Ax² + Bx

for the 2nd known point (4,0)

0 = A(4)² + B(4)

0 = 16A + 4B (divide both sides by 4)

0 = 4A + B

B = -4A ------------(eq 1)

we are given a 3rd point, vertex at (2,-2)

for (2,-2)

-2 = A(2²) + B(2)

-2 = 4A + 2B (divide both sides by 2)

-1 = 2A + B (subtract 2A from both sides)

B = -1 -2A --------(eq 2)

solving the system of equations using the method of your choice in eq1 and eq 2 gives:

A = 1/2 and B = -2

hence the equation is

y = (1/2)x² -2x

7 0

3 years ago

In its monthly report, the local animal shelter states that it currently has 24 dogs and 18 cats available for adoption. Eight o

andrezito [222]

Answer with Step-by-step explanation:

We are given that

Total dogs=24

Total cats=18

Total animals=24+18=42

Male dogs=8

Male cats=6

Total male animals=8+6=14

Total female animals=42-14=28

Female cats=18-6=12

Dogs female=24-8=16

a.We have to find the probability that the pet is male, given that it is cat.

It means we have to find P(Male/cat)

Conditional probability: $P(A/B)=\frac{P(A\cap B)}{P(B)}$

P(Cat)= $\frac{18}{42}$

$P(male cat)=\frac{6}{42}$

$P(Male/cat)=\frac{\frac{6}{42}}{\frac{18}{42}}$

P(male/cat)= $\frac{6}{18}=0.33$

b. $P(female cat)=\frac{12}{42}$

$P(female)=\frac{28}{42}$

$P(Cat/Female)=\frac{\frac{12}{42}}{\frac{28}{42}}=\frac{12}{28}=0.43$

c.P(Dog)= $\frac{24}{42}$

$P(dog female)=\frac{16}{42}$

$P(female/dog)=\frac{\frac{16}{42}}{\frac{24}{42}}$

$P(female/dog)=\frac{16}{24}=0.67$

5 0

3 years ago

IGNOR MY ANSWER I ALSO NEED TO KNOW IF IT'S OPEND OR CLOSED Graph the solution to this inequality on the number line.

Alex777 [14]

Answer:

open circle

Step-by-step explanation:

$\leq \geq = closed cirle\\ =$ open circle

6 0

3 years ago

Y intercept and slope of y= 5/2

olga2289 [7]

Answer:

y intercept at 5/2. Slope is 0

Step-by-step explanation:

The equation for a line can be represented by the formula y=mx+b. M is the slope or rate of change and b is the y intercept. Since the equation y=5/2 does not have an x in it the slope is 0 and you have a perfectly straight horizontal line. Since we are just left with 5/2 that is our y intercept.

In other words, no matter what value you plug in for x, y will always be 5/2.

4 0

3 years ago

Can someone help? will mark brainlest

Crank

I need help my self lol XD

8 0

2 years ago

Read 2 more answers