MATHEMATICS COLLEGE

The Point (0,0) is a solution to which of these inequalities?

Answers

Answer 1

Answer:

Answer:

(0, 0) s the solution of y-4 < 3x-1 as it satisfies the inequality.

Hence, option C is true.

Step-by-step explanation:

Given the point (0, 0)

Putting the point (0, 0) the inequality

y+4 < 3x-1

0+4 < 3(0)-1

4 < -1

This is false as -1 can not be greater than 4

y-1 < 3x-4

Putting the point (0, 0) the inequality

0-1 < 3(0)-4

-1 < -4

This is false as -1 can not be lesser than -4

y-4 < 3x-1

Putting the point (0, 0) the inequality

0-4 < 3(0)-1

-4 < -1

This is true as -4 is lesser than -1

y+4 < 3x+1

Putting the point (0, 0) the inequality

0+4 < 3(0)+1

4 < 1

This is false as 4 can not be lesser than 1

Therefore, (0, 0) s the solution of y-4 < 3x-1 as it satisfies the inequality.

Hence, option C is true.

Related Questions

The television show CSI: Shoboygan has been successful for many years. That show recently had a share of 18, meaning that among the TV sets in use, 18% were tuned to CSI: Shoboygan. Assume that an advertiser wants to verify that 18% share value by conducting its own survey, and a pilot survey begins with 14 households have TV sets in use at the time of a CSI: Shoboygan broadcast. Find the probability that none of the households are tuned to CSI: Shoboygan. P(none) = Find the probability that at least one household is tuned to CSI: Shoboygan. P(at least one) = Find the probability that at most one household is tuned to CSI: Shoboygan. P(at most one) = If at most one household is tuned to CSI: Shoboygan, does it appear that the 18% share value is wrong? (Hint: Is the occurrence of at most one household tuned to CSI: Shoboygan unusual?)
according to the line plot what is the total distance that was run by Runners who each ran for 1/3 of a mile
Raquel kicks a football. The height in feet canbe modeled by the equationh(x) = -16x2 + 64x.How long in seconds before the ball reachesits maximum height? Show work.What is the maximum height of the ball? Show work.answer fast please
What is the sum of two solutions of the quadratic equation ax^2+bx+c=0
a nonagon is a nine-sided polygon, if a regular nonagon was rotated about its center point, which of the following angels of rotation would not map the figure onto itself

Will mark as brainliest! Please help! Please view attached photo.

”After completing the table, use the resulting solution points to sketch the graph of the equation y=x^2-4x

Answers

The table will result in the following points:
(0,0)
(1,-3)
(2,-4)
(3,-3)
(4,0)

Given the formula below, solve for x. y - y1 = m(x-x1)

Answers

Answer:

y-3 = 2/9 (x-8)

Step-by-step explanation:

What is the solution to the system of equations y = -4/5x + 6 and y = -30A) (45,-30)
B) (-30,30)
C) (-30,45)
D) (30,-30)

Answers

Hi There!

Answer: A) (45,-30)

Why: x = 45 and y = -30

-30 = -4/5(45) + 6

-30 = -36 + 6

-30 = -30

Hope This Helps :)

Answer:

A is the correct answer

Step-by-step explanation:

took the exam

Please help me out!!!

Answers

Answer:

Shifts 4 units down ---> $g(x)=2x-10$

Stretches f(x) by a factor of 4 away from x-axis---> $g(x)=8x-6$

Shifts f(x) 4 units right---> $g(x)=2x-14$

Compress f(x) by a factor of 1/4 toward the y-axis ---> $g(x)=1/2x-3/2$

Step-by-step explanation:

We are given $f(x)=2x-6$

We need to match the transformations.

1) shifts f(x) 4 units down.

When function f(x) shifts k units down the new function becomes f(x)-k

In our case

$g(x)=2x-6-4\ng(x)=2x-10$

So, Shifts 4 units down ---> $g(x)=2x-10$

2) Stretches f(x) by a factor of 4 away from x-axis

When function f(x) is stretched by a factor of b away from x-axis the new function becomes f(bx)

$g(x)=2(4x)-6\ng(x)=8x-6$

So, Stretches f(x) by a factor of 4 away from x-axis---> $g(x)=8x-6$

3) Shifts f(x) 4 units right

When function f(x) shifts h units right the new function becomes f(x-h)

$g(x)=2(x-4)-6\ng(x)=2x-8-6\ng(x)=2x-14$

So, Shifts f(x) 4 units right---> $g(x)=2x-14$

4) Compress f(x) by a factor of 1/4 toward the y-axis

When function f(x) is compressed by h factor of a toward the y-axis the new function becomes h.f(x)

$g(x)=1/4(2x-6)\ng(x)=1/2x-3/2$

Compress f(x) by a factor of 1/4 toward the y-axis ---> $g(x)=1/2x-3/2$

(Option Not given)

(If we compress f(x) by a factor of 4 towards y-axis we get g(x)=8x-24)

Please help me with this real quick

Answers

Answer: 7.5 miles

Step-by-step explanation:

think of it as a triangle; the bold line is the hypotenuse, or x.

8 |\ x

|_\ it's not a good triangle but you get the point

and then get out pythagorean theorem: a^2+b^2=c^2

put the numbers in: 8^2 + 6^2 = x^2

do some math:

64+36=x^2

100=x^2 (and then find square root)

10=x

BUT, it said each unit was 3/4 of a mile, so we must multiply 10 by 3/4 to get the actual distance, which is 7.5

Suppose that X is a random variable with probability function x 0 1 2 3 4 5 P(x) 0.00032 0.0064 0.0512 0.2048 0.4096 0.32768 and that the random variable Y = 9X2 − 36X + 4. (a) What is the range of Y ? (b) Calculate P{Y = 4}. (c) Calculate P{Y = 0}.

Answers

(a) For each value of X we have:

$X=0\quad\Rightarrow\quad Y=4\n\nX=1\quad\Rightarrow\quad Y=-23\n\nX=2\quad\Rightarrow\quad Y=-32\n\nX=3\quad\Rightarrow\quad Y=-23\n\nX=4\quad\Rightarrow\quad Y=4\n\nX=5\quad\Rightarrow\quad Y=49$

so the range of Y = {-32, -23, 4, 49}

(b)

$P\{Y=4\}=P\{X=0\}+P\{X=4\}=0.00032+0.4096=\boxed{0.40992}$

(c)

Y cannot equal 0, so

$P\{Y=0\}=0$

Other Questions

*8. Consider a LTI system with unit impulse response, h(t) = e-3tu(t). Using direct integration technique for finding convolution, find its zero-state response due to an input, x(t) = u(t) (which is called unit step response of the system). Also, from your answer above, write down its response due to an input of the form, x(t) = 2δ(t) – 4u(t). [Hint: Use principle of superposition]

What is the best way to organize a paragraph or passage about history of the cell phone

To evaluate the effect of a treatment, a sample of n=8 is obtained from a population with a mean of μ=40 , and the treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be M=35 . a. If the sample variance is s^2=32 , are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with alpha=.05 b. If the sample variance is s^2=72 , are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with alpha=.05 ? c. Comparing your answer for parts a and b, how does the variability of the scores in the sample influence the outcome of a hypothesis test?

Rounding (3.762) to the nearest tenths place is