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3 years ago

The table below shows the squares of different numbers:

1 answer:

4 0

The table in Part A represents y as a function of x. This means that the value of Y is dependent on the value of X. The table can be represented by an equation that describes the relation of X and Y:
$y = x^{2}$ or $f(x) = x^{2}$
By substituting any value of X, you get a specific value of Y based from the given relationship, thus Y is a function of X.

For Part B, the value of f(150) is $470 and it represents the total cost for borrowing a rowboat for 150 hours. By substituting the value of x = 150 into the function, you get the total cost:
$f(x) = 20 + 3x \\ where \\ x = 150 \\ f(150) = 20 + 3(150) \\ f(150) =20 + 450 \\ f(150) = $ 470$

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1. The ratio of girls to boys to parents at the concert is 10:5:4. If there are

Maru [420]

Answer:

1. 228 parents

Step-by-step explanation:

I will do number 1 for you. I'll let you or someone else do the others.

Let 10x = no. of girls

5x = no. of boys

4x = no. of parents

Now, 10x + 5x + 4x = 1083

19x = 1083

x = 57

(10)(57) = 570 girls

(5)(57) = 285 boys

(4)(57) = <u>228 parents</u>

1083 total

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3 years ago

Which is true of an adjustable rate mortgage?

Leni [432]

The answer for this question is B

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3 years ago

Read 2 more answers

A basketball bounces off the ground. The ball’s height y (in feet)

serious [3.7K]

Answer: Im looking for the same question

Step-by-step explanation:

lol

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2 years ago

It is a Saturday morning, and Jeremy has discovered he has a leak coming from the water heater in his attic. Since plumbers char

pishuonlain [190]

Answer:

Rate = 3/5 bucket / 1/2 hour

= 6/5 or 1 1/5 buckets per hour

6 0

3 years ago

What is the solution of the following quadratic inequality? x4 – 18x2 ≥ –64

Alexus [3.1K]

Answer:

x<=-4 or -2<=x<=2 or x>=4

Step-by-step explanation:

First, you have to get the formula in its standard form,

x^4 - 18x^2 + 64 >= 0

Next, you factorise the expression as you would any trinomial. The fact that the degree of the inequality is 4 instead of 2 just adds an extra step,

(x^2 - 16)(x^2 - 4) >= 0

Get the zeroes/critical values of the equation by equating either bracket to zero.

x^2 - 16 = 0 and x^2 - 4 = 0

x^2 = 16 x^2 = 4

Since both values are positive, both answers are valid as squares of x. The aforementioned extra step is just square rooting these values. Remember: This means that both a positive and negative answer will arise from both equations.

x = 4 or x = -4 or x = 2 or x = -2

Now you have to show these values on a number line.

-4 -2 2 4

_|____|____|____|_

These are the critical values of the inequality, i.e. those values that make it equal zero (zeroes). Now to solve the inequality you need to substitute a value larger than 4 (called x big positive) and then a value between 2 and 4, between -2 and 2... until you sub a value less than -4 into the factorised expression. The point of this is to get the SIGN of the answer. As a rule, since no factors repeat themselves, after calculating x big positive you can simply alternate the signs going left. Try it out yourself!

+ -4 - -2 + 2 - 4 +

_|____|____|____|_

Since we're looking for values greater than or equal to zero, all critical values as well as "plus signs" will form part of the answer, namely:

x<=-4 or -2<=x<=2 or x>=4

P.S. If you prefer, you could also factorise each bracket further as both of them were DOTS brackets and you would have ended up with the same critical values.

4 0

2 years ago