Find the value of x ???

The value of x for which this model will make the least sense to use is at x=-2.75 seconds.

A function assigns the value of each element of one set to the other specific element of another set.

The function that is given to us is h(x) = –16x²+100 where x is the time in seconds.

Now, use the function to know the height of the object, therefore, the height of the object can be written as,

Time, t₁=0

Now, the height can be written as,

[tex]h(x) = -16x^2+100\\\\h(0)=0+100\\\\h_1=100[/tex]

Thus, the height of the object when the time is 0 seconds is 100.

Time, t₂=0.5

Now, the height can be written as,

[tex]h(x) = -16x^2+100\\\\h(0.5)=-4+100\\\\h_2=96[/tex]

Thus, the height of the object when the time is 0.5 seconds is 96.

Time, t₃=1

Now, the height can be written as,

[tex]h(x) = -16x^2+100\\\\h(1)=-16+100\\\\h_1=84[/tex]

Thus, the height of the object when the time is 1 second is 84.

Time, t₄=1.5

Now, the height can be written as,

[tex]h(x) = -16x^2+100\\\\h(1.5)=-36+100\\\\h_4=64[/tex]

Thus, the height of the object when the time is 1.5 seconds is 64.

Time, t₅=2

Now, the height can be written as,

[tex]h(x) = -16x^2+100\\\\h(2)=0+100\\\\h_5=36[/tex]

Thus, the height of the object when the time is 2 seconds is 36.

Now as we can see that the error in the height of the object can be a maximum of 1, therefore, for different values of x, the change in height will be,

Time, t₆= -2.75

Now, the height can be written as,

[tex]h(x) = -16x^2+100\\\\h(-2.75)=-121+100\\\\h_6= -21[/tex]

Thus, the height of the object when the time is -2.75 seconds is -21.

Hence, the value of x for which this model will make the least sense to use is at x=-2.75 seconds.

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Answer:

-2.75

Step-by-step explanation:

A

Answer:

65cm

Step-by-step explanation:

100cm= 1 metre

?=2.5m

=2.5*100=250cm

250-(60+35+90)=65cm

remaining length=65cm

The given expression 5x+3x²-7x³+2 is a cubic expression.

A cubic expression is a three-dimensional algebraic equation of the form ax³ + bx² + cx + d = 0, where the coefficients are a, b, and c, and the constant is d.

In order to classify the given expression as 5x+3x²-7x³+2, we need to rearrange the given expression,

[tex]5x+3x^2-7x^3+2\\\\=-7x^3+3x^2+5x+2[/tex]

Since the highest power that is in the expression is 3, therefore, the given expression is a cubic expression.

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Step-by-step explanation:

Our expression;

[tex](9w^2+7w-2)+(8w^2-8w-7)-(-5w^2+5w+4)[/tex]

Also represented as after using the distributive property;

[tex]9w^2+7w-2+8w^2-8w-7+5w^2-5w-4[/tex]

Simplify;

[tex]9w^2+7w-2+8w^2-8w-7+5w^2-5w-4[/tex]

[tex]22w^2+7w-2-8w-7-5w-4[/tex]

[tex]22w^2-6w-2-7-4[/tex]

[tex]22w^2-6w-13[/tex]

Answer:

22w² - 6w - 13

Step-by-step explanation:

Given expression: (9w² + 7w - 2) + (8w² - 8w - 7) - (-5w² + 5w + 4)

Step-1: Open the parenthesis

Step-2: Combine like terms

Step-3: Simplify the expression

Therefore, the simplified expression is 22w² - 6w - 13.

Answer:

[tex]y=\boxed{-\dfrac{1}{4}}\left(x-\boxed{-2}\:\right)^2+\boxed{4}[/tex]

Step-by-step explanation:

The graph of a quadratic function is symmetrical.

The axis of symmetry is the vertical line through the vertex of the parabola so that the left and right sides of the parabola are symmetrical.

From inspection of the given table, the axis of symmetry is x = -2 as the y-values of x = -3 and x = -1 are both 3.75.

Therefore, the vertex is (-2, 4).

Vertex form of a quadratic equation:  

[tex]y=a(x-h)^2+k[/tex]

where:

Substitute the vertex and one of the other points into the vertex formula and solve for a:

[tex]\begin{aligned}y&=a(x-h)^2+k\\\implies 3&=a(0-(-2))^2+4\\3&=a(2)^2+4\\3&=4a+4\\-1&=4a\\a&=-\dfrac{1}{4}\end{aligned}[/tex]

Substitute the vertex (-2, 4) and the found value of a into the formula to create an equation for the function:

[tex]y=\boxed{-\dfrac{1}{4}}\left(x-\boxed{-2}\:\right)^2+\boxed{4}[/tex]

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Answer:

-1/4   -2    4

Step-by-step explanation:

Answer:

A. $80

Step-by-step explanation:

First, let's find the cost of 15 soccer balls.

Next, cost of 20 soccer balls.

Lastly, the difference between 20 and 15 soccer balls:

Answer: 16x+4

Step-by-step explanation:

perimeter = side + side + side

So in this case:

Perimeter= 3x+2+5x-5+8x+7= 3x+8x+5x+2+7-5 = 11x+5x+9-5 = 16x+4

Answer: A

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

Answer:

1m

Step-by-step explanation:

because there is some thing to tell I am a kid and my age is 13 and how should I answer your question.

The value of x is 17.6. She should have added 5.4 on both sides to get the correct value of x. Then the correct option is A.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Kaitlyn solved the equation for x using the following calculations.

[tex]\rm -5.4 + x =12.2[/tex]

and she did the calculation will be

[tex]\rm -5.4x = 6.8[/tex]

The mistake she did in this equation is the plus sign is removed between the -5.4 and x. And she subtracted 5.4 from 12.2.

The correct solution of the equation is to add both sides 5.4. Then we have

[tex]\begin{aligned} \rm -5.4 + x+5.4 &=12.2+5.4\\\\\rm x &= 17.6\end{aligned}[/tex]

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The difference between the mean of the two sets is 1, which is half the Mean absolute deviation.

The mean absolute deviation is the average distance between the data points and the mean of the data set.

A.) For the data set M, {0, 1, 3, 4, 7}, the mean and the mean absolute deviation can be written as,

[tex]\text{Mean of M}, (\mu_M) = \dfrac{0+1+3+4+7}{5} = 3[/tex]

The mean absolute deviation of the set M,

[tex]MAD = \dfrac{1}{n}\sum_{i=0}^{n}|x_i-m(x)|[/tex]

[tex]MAD = \dfrac{1}{5}\sum_{i=0}^{5}|x_i-m(x)|\\\\MAD_M= \dfrac{10}{5} = 2[/tex]

Now, since the MAD of the set M is 2, therefore, the data points in Set M that are closer than one mean absolute deviation from the mean are 3 because the range of the one mean absolute deviation from the mean,

Mean±MAD

= 3±2

= 3+2, 3-2

= 5, 1

Thus, the numbers coming between 1 to 5 are the data points that are closer than one mean absolute deviation which is 3{1, 3, 4}.

B.) For the data set N, {1, 2, 3, 4, 5, 9}, the mean and the mean absolute deviation can be written as,

[tex]\text{Mean of N}, (\mu_N) = \dfrac{1+2+3+4+5+9}{6} = 4[/tex]

The mean absolute deviation of the set N,

[tex]MAD = \dfrac{1}{n}\sum_{i=0}^{n}|x_i-m(x)|[/tex]

[tex]MAD = \dfrac{1}{6}\sum_{i=0}^{6}|x_i-m(x)|\\\\MAD_m= \dfrac{12}{6} = 2[/tex]

Now, since the MAD of the set N is 2, therefore, the data points in Set N that are further than two mean absolute deviations from the mean of Set are 3 because the range of the one mean absolute deviation from the mean,

Mean±2MAD

= 4±2(2)

= 4+4, 4-0

= 8, 0

Thus, the number not coming between 8 to 0 are the data points that are further than two mean absolute deviations from the mean of Set N which are 1{9}.

C.) The difference between the mean of the two sets is 1, which is half the Mean absolute deviation.

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The rule that can be used to describe the x-coordinates in the translation is (x+6).

A translation is a sort of transformation that moves each point in a figure in the same direction by the same amount of distance.

We know that the coordinate is moving up, therefore, the coordinate of x will be increasing by 6 units.

Hence, the rule that can be used to describe the x-coordinates in the translation is (x+6).

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Answer:

x + 6

Step-by-step explanation:

Answer:

25(5)+14=139

$139

Step-by-step explanation:

Answer:

7xy-8yz+3x-4x+8yz

7xy-8yz+8yz+3x-4x

7xy-x

Step-by-step explanation:

Answer:

Lin is taller than 150 centimeters but shorter than 160 centimeters. She could be ... (just put any number that is in between 150 and 160, like 155

Step-by-step explanation:

Answer:

lin is taller than 150

But shorter than 160

She could be 154 centimeters tall

The sign > means greater than.

The sign < means less than.

So, if h > 150, h is greater than 150

And, if h < 160, h is less than 160

h represents Lin

So, lin is taller than 150

But shorter than 160

She could be anywhere in between 150 and 160

So, she could be

151, 152, 153, 154, 155, 156, 157, 158, or 159

Just choose one of those.

Answer:

 Slope = 2

 a-intercept = 8/6 = 4/3 = 1.33333

 b-intercept = 8/-3 = -2.66667

Step-by-step explanation:

Pls, choose me as brainliest!

Answer:

Slope = 2

a-intercept = 8/6 = 4/3 = 1.3...

b-intercept = 8/-3 = -2.6...

Step-by-step explanation:

your welcome

Answer:

x = 11

Step-by-step explanation:

15x + 15x + 15 + 15 = 360 (sum of all sides equal to 360)

30x + 30 = 360

30x = 360 - 30

30x = 330

30x/30 = 330/30

x = 11

Solution:

We know that:

Since the sprinkler sprays water 4 feet in all directions, the radius will be 4 ft.

This means that:

Now, let's solve for the area.

Answer:

1.375 in decimal form

Step-by-step explanation:

The population of the town in 36 years would be  8000.

The formula that can be used to determine the town's population is:
FV = P (1 + r)^n

Where:

500 x 2^4 = 8000

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Answer:

Roughly 10%

Step-by-step explanation:

We just need to reduce this fraction: 13/119

It is in the lowest terms already, so now we need to make this fraction a percent.

13/119 = 10.12

10.12 ≈ 10%

Answer:

There are 480 total lockers in the school.

The type of graph I would use for a set of categorical data with 25 people surveyed is bar graph.

The type of graph or chart that is good for showing  categorical data are:

Note that bar graph is one of the  the most appropriate graphical form of displays for any categorical variables.

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distance between point A and B is = 10

Answer:

4x + 2

Step-by-step explanation:

2 times 2x is 4x plus 2 times 1 is 2

Answer:

80°

Step-by-step explanation:

since 4x+5x=180, it means that x is 20.

to find SVW, you multiply 4 by 20 which is 80°