Suppose x, y, and z are all rational numbers. Is zx2−y2√ a rational number? Explain your answer.
A. Yes; the square and square roots cancel out, leaving a rational number
B. No; the square root of any number is irrational
C. There is not enough information
D. No; a quotient of rational numbers is not always rational

Answer:

B. 7 cups

Step-by-step explanation:

16+16=32

3 1/2+3 1/2=

3+3=6 1/2+1/2=1

6+1=7

Answer:

B. 7 cups

Step-by-step explanation:

31/2 cups for 16 servings.

32 servings are two 16 servings

Convert 3 1/2 to fraction 7/2 then multiply by 2

7 cups

Answer:

[tex]Expected\ Value = 3[/tex]

Step-by-step explanation:

Given

[tex]Red\ Balls = 3[/tex]

[tex]Blue\ Balls = 1[/tex]

Required

Determine the expected number of red balls

First, we calculate the probability of a red ball

[tex]P(Red\ Ball) = \frac{Red\ Ball}{Total}[/tex]

[tex]P(Red\ Ball) = \frac{3}{3 + 1}[/tex]

[tex]P(Red\ Ball) = \frac{3}{4}[/tex]

[tex]P(Red\ Ball) = 0.75[/tex]

The expected value is then calculated as:

[tex]Expected\ Value = P(Red\ Ball) * Total[/tex]

[tex]Expected\ Value = 0.75 * 4[/tex]

[tex]Expected\ Value = 3[/tex]

Answer:5x + 70 = 320

Step-by-step explanation:

this can be the only answer.

please make me brainliest.

Answer:

I think its x=48

Step-by-step explanation:

Answer:

X = 7.5

Step-by-step explanation:

0.8x = 6

x = 6/0.8

x = 7.5

Answer:

(3 ⋅ x) - (-1/2)

Step-by-step explanation:

Since it says the product of 3 and a number, it can be written as 3 ⋅ x, where you need to multiply 3 by x, and it only says “a number” so you can just put x. Then, it says the difference of that product and -1/2. Now, you can put the product part in, which is 3 ⋅ x, and subtract that with -1/2 to get (3 ⋅ x) - (-1/2)

Hope this helps! :)

Answer:

y = 2x + 7

Step-by-step explanation:

Answer:

x = 9.6

Step-by-step explanation:

Answer:

-3/0 is the slope....or just -3.

Step-by-step explanation:

slope method = m= y2 - y1/ x2 - xm = 12 - 15/ 4 - 4 = -3/0 or just -3 simplified.

90 is a fourth of 360, so the a fourth of the total circumference is between those two radii. This means that, if you find the circumference and divide it by 4, the resulting number is that length.

Answer:

5

Step-by-step explanation:

cuz 12 +16 is 28, 140÷28 is 5

Answer:

16h + 12 = 140

Step-by-step explanation:

She can ride the bike for 8 hours.

Answer:

D. (272, 127)

Step-by-step explanation:

It's actually not A, I just took the test. The right answer is D.

Answer: D) (272, 127)

Step-by-step explanation: :D

Answer:

f(g(-1)) = 22

g(f(-1))=6

Step-by-step explanation:

We are given

[tex]f(x)=5x+2 \\g(x)=3-x[/tex]

We need to find f(g(-1)) and g(f(-1))

Finding f(g(-1))

First we will find f(g(x)) i.e

[tex]f(g(x))=5(3-x)+2\\f(g(x))=15-5x+2\\f(g(x))=-5x+17[/tex]

Now finding f(g(-1)) by putting x=-1

[tex]f(g(x))=-5x+17\\Put \ x=-1\\f(g(-1))=-5(-1)+17\\f(g(-1))=5+17\\f(g(-1))=22[/tex]

So, f(g(-1)) = 22

Finding g(f(-1))

First we will find g(f(x)) i.e

[tex]g(f(x))=3-(5x+2)\\g(f(x))=3-5x-2\\g(f(x))=-5x+1[/tex]

Now finding g(f(-1)) by putting x=-1

[tex]g(f(x))=-5x+1\\Put \ x = -1\\g(f(-1))=-5(-1)+1\\g(f(-1))=5+1\\g(f(-1))=6[/tex]

So, g(f(-1))=6

Answer:

Step-by-step explanation:

3 (x – 4) = 2x + 6                  Remove the brackets

3x - 12 = 2x + 6                    Add 12 to both sides.

3x - 12 + 12 = 2x + 6 + 12     Combine

3x = 2x + 18                         Subtract 2x from both sides

3x-2x = 2x-2x + 18              Combine

x = 18

Answer:

18

Step-by-step explanation:

The ratio of strawberry yogurt cups to all of the yogurt is 6:10.  We know that there are 30 total yogurt cups, which is the same as 3 times 10.  to find the number of strawberry cups, 6 should be multiplied by 3 as well to equal 18.  18:30 is still the same ratio as 6:10

Answer:

m= -1/7

b=2

Step-by-step explanation:

Answer:

A is the answer because the -T is right at 0

Answer:

The rate of change is -2

Step-by-step explanation:

I know because I used a calculator and it is decreasing by 2 in the x column. Plzz can I have brainiest

Answer:

The answer is B, or the second one.

90 Adult tickets and 18 Children's tickets

Step-by-step explanation:

(90 x 15) + (18 x 9)

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Answer:

25%

Step-by-step explanation:

28-21=7

7/28=×/100

7×100=700

700÷28=25

Answer:

7

Step-by-step explanation:

Okay so, 28-21 =07 right

7 as a percent is 700% and the limit is 100%

so 700%/100%= 7

Answer:

0-y=3/4(x-2)

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Answer:

Guarantee of Tyre = 36,680 miles

Step-by-step explanation:

Given:

Mean = 46,000 miles

Standard deviation = 4,000 miles

Computation:

Assume;

x = guaranteed lifetime

P(X > x) = 99%

So,

P(X > x) = 0.99

So,

P(Z > z) = 0.99

So,

1 - P(Z > z )  = P(Z < z)

P(Z < z) = 0.01

So, in z table value of z = -2.33

x = μ + [z x σ]

x = 46,000 + [-2.33 x 4000]

x = 36,680

Guarantee of Tyre = 36,680 miles

Answer:

d=0.78g/ml

Step-by-step explanation:

d=m/v

d=18/23

d=0.78 g/ml

Answer:

it knocks off $179.80 or the final cost which is $719.20.

Step-by-step explanation:

Answer:

$719.20

Step-by-step explanation:

899*0.2=179.8

899-179.8=719.2

25.00%

Or

25c

Have a Merry Christmas!