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3 years ago

Question 5 show the work please

Mathematics

2 answers:

faltersainse [42]3 years ago

7 0

D hope this helps!!!!!!!!

Pani-rosa [81]3 years ago

6 0

Answer:

D) 27

Step-by-step explanation:

It's a rectangle so the opposite sides are congruent to each other.

Long Side:

6x + 6 = 42

subtract 6 from both sides:

6x = 36

divide both sides by 6:

x = 6

Short Side:

5y + 5 = 30

subtract 5 from both sides:

5y = 25

divide both sides by 5:

y = 5

The Equation:

2x + 3y

substitute in the values:

2(6) + 3(5)

do the multiplication:

12 + 15

add the values together:

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A jar if dimes and quarters is worth $4.55. If there are the same number of dimes as quarters, what is the value of only the dim

Monica [59]

For this case, the first thing we must do is define variables.
We have then:
x = number of dimes
y = number of quarters
We write the system of equations:
0.10x + 0.25y = 4.55
x = y
Solving the system we have:
x = 13
y = 13
The value of the dimes is:
(0.10) * (13) = 1.3 $
Answer:
The value of only the dimes is:
1.3 $

8 0

3 years ago

Explain whether the graph represents a function.

aleksley [76]

Answer:

The vertical line test can be used to determine whether a graph represents a function. ... If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output. A function has only one output value for each input value.

8 0

3 years ago

Wat is equal to 7.5x4 what is equal to 7.5 * 4

IrinaK [193]

Hello!

7.5 * 4 is equal to 30

7 * 4 = 28

.5 * 4 = 2

28 + 2 = 30

I hope this helps, and have a nice day!

7 0

3 years ago

You have two biased coins. Coin A comes up heads with probability 0.1. Coin B comes up heads with probability 0.6.However, you a

Andrews [41]

Answer:

The probability that our guess is correct = 0.857.

Step-by-step explanation:

The given question is based on A Conditional Probability with Biased Coins.

Given data:

P(Head | A) = 0.1

P(Head | B) = 0.6

By using Bayes' theorem:

$P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}$

We know that P(B) = 0.5 = P(A), because coins A and B are equally likely to be picked.

Now,

P(Head) = P(A) × P(head | A) + P(B) × P(Head | B)

By putting the value, we get

P(Head) = 0.5 × 0.1 + 0.5 × 0.6

P(Head) = 0.35

Now put this value in $P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}$ , we get

$P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}$

$P(B|Head) = 0.6 \times \frac{0.5}{0.35}$

$P(B|Head) = 0.857$

Similarly.

$P(A|Head) = 0.857$

Hence, the probability that our guess is correct = 0.857.

7 0

3 years ago

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