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3 years ago

Factor as the product of two binomials. X^2 – 10x + 21

1 answer:

5 0

You can use the butterfly method. Two numbers that equal A times C must also add up to B. A=1 B=-10 C=21. A times C is 21 and B is -10. Two numbers that multiply to 21 and add to -10 are -7 and -3. Factored form: ( x - 7 )( x - 3 ).

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Henry went to an amusement park with $150.00 and spent all of it. He spent 1/5 of the money on parking He spent $37.00 on admiss

sashaice [31]

Answer:

8 games

Step-by-step explanation:

According to the problem, calculation of the given data are as follows,

Total amount = $150

Spent on Parking = 1/5 or 20% = $150 × 20% = $30

Spent on admission = $37

Spent on food = 40% = $150 × 40% = $60

Spent on admission in waterpark = $10

Each game cost = $1.5

So, let number of games played be X, then

$30 + $37 + $60 + $10 + $1.5X = $150

$137 + $1.5X = $150

1.5X = $150 - $137

1.5X = $13

X = $13 ÷ 1.5 = 8.67 or 8 games

Hence, Henry can play 8 games.

7 0

3 years ago

The graph of a proportional relationship passes through (12, 16) and (1, y) . Find y

k0ka [10]

Answer: The value of y is $\frac{4}{3}$ .

Explanation:

It is given that the graph of a proportional relationship passes through (12, 16)

and (1, y).

The graph of a proportional relationship means the x and y coordinates are in a proportion k. The equation of the graph is in the form of y=kx. Where k is the proportion factor.

It is given that the graph passing through (12,16).

$y=kx$

$16=k(12)$

$k=\frac{16}{12}$

$k =\frac{4}{3}$

So the equation of the line is,

$y=\frac{4}{3} x$

put x=1.

$y=\frac{4}{3} (1)$

$y=\frac{4}{3}$

Therefore, the value of y is $\frac{4}{3}$ .

8 0

3 years ago

Read 2 more answers

What is the sum of a number n and 4 is no more than 13

posledela

N+4=13
-4 -4
n = 9

the sum of a number(n) and 4 that is no larger than 13 is 9

8 0

3 years ago

Question 1. Enter the ratio equivalent to sin(B)

Deffense [45]

Answer:

The three questions about the given triangle has been answered below.

Step-by-step explanation:

We are given a right angled triangle whose sides are of length 20, 21 and 29.

(1) sin(B) = $\frac{side opposite to B}{hypotenuse}$

= $\frac{21}{29}$

= 0.72

(2) sin(A) = $\frac{20}{29}$

sin(A) = 0.689

∠CAB = $sin^{-1}(0.689)$

∠CAB = 43.551°

(3) We suppose that cosA < sinA and we haveto find which all angles will satisfy this condition.For this the angle A should be greater than 45°.

From the given options the angles that satisfy this are 55 , 66 and 75.

45 is not included as then sinA = cosA and that condition is not there.

8 0

3 years ago

Can someone help me with this, thanksssss

Effectus [21]

Answer:17

Step-by-step explanation:Follow pemdas.

Start with parentheses which is (5+2) which gives you 7.

Now next in Pemdas is Exponents. SO do 2 to power of 2 which is 4 .Then do 3 to the power of 3 which is 27.Next add 4 to 27 which is 31.so now do 7 times 2 is 14.Then take 31 and subtarct it from 14 which gives you 17.

Look at pic to see clearly how it was solved and the steps. I color code it to show the steps.

3 0

3 years ago

Read 2 more answers