What is the value of X?

X=2.25
X=11.25
X=13
X=22

To evaluate a function at a given input, you have to substitute every occurrence of the variable with that particular value.

So, for the first function, you have

[tex] T(x) = -x-2 \implies T(-4) = -(-4)-2 = 4-2 = 2 [/tex]

The name of the variable is obviously irrelelvant, so the same goes for the second function:

[tex] w(x) = 14-6x \implies w(-3) = 14-6\cdot(-3) = 14 + 18 = 32 [/tex]

T(-4) = -(-4) - 2

-(-4) - 2 = 2

Answer:

a) (1, 109)

Step-by-step explanation:

Step 1: We need to graph the function f(x) = 3x^2 +1 from the interval (-4 to 6) on the x-axis

Step 2: Graph the function f(x) = 6, which is a horizontal line. From the interval [6, 9)

The range is nothing but the y - values.

The y values start from 1 and ends 109 at the interval -4 to 9

Here with I have attached the graph. Please have a look at it.

Thank you.

you need to add -17 to 17 to get 0

17+x=0

x=-17

Answer:

The number would be –17.

Step-by-step explanation:

Hope this helps! :)

Answer:

[tex]\frac{11}{3}[/tex] miles

Step-by-step explanation:

Let the total miles traveled be x.

Now, for the first 0.5 miles total charge is = $3.50

Then, the remaining distance to be traveled[tex]=(x-0.5)[/tex] miles

For each additional 0.1 mile, the additional charge is $0.30

So, for [tex](x-0.5)[/tex] miles, the total additional charge will be[tex]=\frac{0.3}{0.1}(x-0.5) =3(x-0.5)[/tex]

Then, including the $2 tip, the total fare will be[tex]=3.50+3(x-0.5)+2[/tex]

Now, given that total fare is $15, so,

[tex]3.50+3(x-0.5)+2=15\\3.50+3x-1.5+2=15\\3x+4=15\\3x=11\\x=\frac{11}{3}[/tex]miles

Let's assume, total number of miles traveled after the first 0.5 mile  are x.

For 0.1 mile, the cost is $0.30

[tex]0.1\times 10 = 1 mile[/tex]

Hence, for 10 miles, cost is

[tex]0.30\times 10 = 3[/tex] dollars

Total amount incurred = $ 3.50 (fixed cost) + 3x (cost per mile) + 2( tip)

He gave a total of $ 15, hence

[tex]15=3.50+3x+2[/tex]

[tex]9.5=3x[/tex]

[tex]x=\frac{95}{30} =\frac{19}{6}[/tex] miles

Total miles traveled = [tex]\frac{19}{6} +\frac{1}{2}[/tex] =[tex]\frac{11}{3}[/tex] miles

Answer: Distance from Cleveland to Cincinnati on the second map is 8 km.

Step-by-step explanation:

Since we have given that

The scale on the first map is

[tex]1\ cm:10\ km[/tex]

That means

[tex]1\ cm=10\ km[/tex]

Distance from Cleveland to Clncinnati = 40 cm

So,

[tex]1\ cm=10\ km\\\\40\ cm=10\times 40\ km\\\\40\ cm=400\ km[/tex]

Similarly, Scale on the second map is given by

[tex]1\ cm:50\ km\\\\i.e.\\\\1\ cm=50\ km[/tex]

So, our 400 km in second map will be

[tex]\frac{400}{50}\ km=8\ km[/tex]

Hence, Distance from Cleveland to Cincinnati on the second map is 8 km.

Answer:

The value of x is 11.

Option (B) is correct.

Step-by-step explanation:

By using the property of the rectangle .

In rectangle all four angles are 90° .

As the figure given in the question .

Thus

(5x + 2) + 3x = 90

Open the bracket

5x + 2 + 3x = 90

8x + 2 = 90

8x = 90 - 2

8x = 88

[tex]x = \frac{88}{8}[/tex]

x = 11

Therefore the value of x is 11.

Option (B) is correct.

Hello there!

[tex]-\frac{2}{9}*\frac{1}{5}[/tex]

Explanation:

↓↓↓↓↓↓↓↓↓↓

First you had to multiply by the fractions.

[tex]-\frac{2*1}{9*5}[/tex]

Then you had to multiply by the numbers.

[tex]2*1=2[/tex]

[tex]-\frac{2}{9*5}[/tex]

You can also multiply by the numbers again.

[tex]=-\frac{2}{45}[/tex]

Answer⇒⇒⇒⇒⇒⇒=-2/45

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

Answer:

Zombie population = 8 * 2^(number of hours)

Zombie population (after 24 hours) = 8 * 2^(24)

equals 8 * 16,777,216 = 134,217,728

Step-by-step explanation:

2x+20=3x-30

x=50

2x+20=3x-30

x=50

2x+20=3x-30

x=50

2x+20=3x-30

x=50

5 purple  8 red  4 blue

Applying Chebyshev's theorem with a mean of 80 and a standard deviation of 3 to k=2, we find that at least 75% of exam scores should fall between 74 and 86 points.

Chebyshev's Theorem states that at least [tex]1 − 1/k^2[/tex](where 'k' is any real number greater than 1) of data from a sample will fall within 'k' standard deviations from the mean. Given that the mean score on the driving test is 80 points and the standard deviation is 3 points, we apply Chebyshev's theorem with k=2 (2 standard deviations from the mean).

Now let's do the calculations. The formula for Chebyshev’s Theorem is [tex]1 – 1/k^2[/tex], so that gives us[tex]1 - 1/2^2 = 1[/tex] - 1/4 = 0.75 or 75%.

Also, to find the range within which 75% of the results will fall, we use the mean and standard deviation, which gives us 'mean ± k standard deviations' => 80 ± 2*3 => [74, 86].

In conclusion, Chebyshev's theorem predicts that at least 75% of the scores on the driving test should be between 74 and 86 points.

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Let the midpoint of [tex]BC[/tex] be [tex]M(x_{_M};~y_{_M})[/tex].

Then [tex]x_{_M}=\dfrac{x_{_B}+x_{_C}}{2}[/tex] and [tex]y_{_M}=\dfrac{y_{_B}+y_{_C}}{2}[/tex].

We are given [tex]x_{_M}=5, y_{_M}=-2[/tex] and [tex]x_{_B}=3, y_{_B}=4[/tex].

[tex]5=\dfrac{3+x_{_C}}{2}\Rightarrow x_{_C}=7\medskip\\{-2}=\dfrac{4+y_{_C}}{2}\Rightarrow y_{_C}=-8[/tex]

[tex]C(7;-8)[/tex]

Answer:

The coordinates of endpoint C are (7,-8).

Step-by-step explanation:

Given information: Midpoint of BC is (5, -2) and B(3,4).

We need to find the coordinates of C.

Let the coordinate of C are (x,y).

If end points of a line segment are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the midpoint of that segment is

[tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Midpoint of BC is

[tex]Midpoint=(\frac{3+x}{2},\frac{4+y}{2})[/tex]

Midpoint of BC is (5,-2).

[tex](5,-2)=(\frac{3+x}{2},\frac{4+y}{2})[/tex]

On comparing both sides.

[tex]5=\frac{3+x}{2}[/tex]

[tex]10=3+x[/tex]

[tex]10-3=x[/tex]

[tex]7=x[/tex]

The value of x is 7.

[tex]-2=\frac{4+y}{2}[/tex]

[tex]-4=4+y[/tex]

[tex]-4-4=y[/tex]

[tex]-8=y[/tex]

The value of y is -8.

Therefore the coordinates of endpoint C are (7,-8).

[tex]Solution, 1\frac{7}{8}\cdot \frac{5}{6}=1\frac{9}{16}\quad \left(\mathrm{Decimal:\quad }\:1.5625\right)[/tex]

[tex]Steps:[/tex]

[tex]\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 1\frac{7}{8}=\frac{15}{8}, =\frac{15}{8}\cdot \frac{5}{6}[/tex]

[tex]\mathrm{Cross-cancel\:common\:factor:}\:3, =\frac{5}{8}\cdot \frac{5}{2}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}, =\frac{5\cdot \:5}{8\cdot \:2}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:5\cdot \:5=25, =\frac{25}{8\cdot \:2}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:8\cdot \:2=16, =\frac{25}{16}[/tex]

[tex]\mathrm{Convert\:improper\:fractions\:to\:mixed\:numbers}:\quad \frac{25}{16}=1\frac{9}{16}, =1\frac{9}{16}[/tex]

Hope this helps!!!

To find the height of the building, we can use the concept of similar triangles and set up a proportion. Substituting the given values and solving for x, we find the height of the building to be approximately 186.5 meters.

To find the height of the building, we can use the concept of similar triangles. Let's set up a proportion using the man's height and shadow length, and the building's height and shadow length. We have:

(Man's Height)/(Man's Shadow Length) = Building's Height/(Building's Shadow Length)

Substituting the given values, we have:

(138 cm)/(148 cm) = x/(199 m)

Cross-multiplying and solving for x, we find the height of the building to be approximately 186.5 meters.

C is the correct answer 3.785*2.5=9.4625 then multiply by 1000 and you get 9,462.5

Answer:

c

Step-by-step explanation:

The answer is:

4.50*0.18= 0.81

$4.50 × 18% ≈ 0.81

Echy~

she is correct because the graph of y=2^2 will surpass the other 2 lines on the graph.

Teresa is correct as the graph of the exponential function y=2^x increases more rapidly than those of the linear and quadratic functions when x becomes large. Thus, y=2^x will eventually surpass the other graphs.

Teresa's statement that the graph of y=2^x will eventually surpass the other graphs of y=2x, y=x^2+2, and y=2x^2 is correct. This is because the graph of an exponential function such as y=2^x increases more rapidly than the graphs of linear or quadratic functions when the value of x becomes large.

For example, plotting data pairs for each of these equations, we would see that as x increases, the value of y for y=2^x will eventually be greater than the y-values for the other functions. While y=2x and y=x^2+2 will also increase with larger x, the growth rate is not as extreme as for the exponential function y=2^x.

To further illustrate, for very large values of x, the quadratic function y=2x^2 increases slower than the exponential function y=2^x. Therefore, understanding the characteristics of linear, quadratic, and exponential functions is essential in interpreting these graphs correctly.

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Answer:

a) [tex]2\frac{3}{4}[/tex] = 2.75

b) [tex]4\frac{2}{3} [/tex]= 4.6666...

Step-by-step explanation:

We are given 3 digits: 2,3,4

A terminating decimal is a decimal which stops after some decimal or ends.

a) Mixed fraction = [tex]2\frac{3}{4} = \frac{11}{4}[/tex]

decimal expansion = 2.75

It can be clearly seen that the decimal expansion stopped after two decimal places.

b) Mixed fraction =  Mixed fraction = [tex]4\frac{2}{3} = \frac{14}{3}[/tex]

Decimal expansion = 4.666666...

It can be clearly seen that the decimal expansion is non terminating and does not stop.

It's an arithmetical sequence with [tex]a_1=-8,d=5[/tex]

So

[tex]a_n=a_1+(n-1)d\\\\a_n=-8+(n-1)\cdot5\\\\a_n=-8+5n-5\\\\\boxed{a_n=5n-13}[/tex]

Answer:

1/8 = 0.125 I hope this helps! Please give me brainiest!

Step-by-step explanation:

  0.125

8/1.000

  - 8

     20

     -16

        40

       -40

          0

Answer,

-Laura :-)

Answer:

180

Step-by-step explanation:

Answer:

Which of the following is a constant in this expression?

✔ 4

Which of the following lists all the coefficients in this expression?

✔ -1, -7, 18

The answer is 22 1/2

A.)    1.3968253968254

B.) 8.75

C.)1.94

D.)2.962962962963

This problem is essentially testing those how to read and how to pay attention to detail. The best way to approach this is to make a list.

If we break it down slowly, We see that we have 2 $10. This means $20. 4 $1 bills is equal to $4. 3 quarters is equal to $0.75. 5 dimes is equal to $0.50, and 8 pennies is equal to $0.08. If we make a list, we can easily add them together as so:

20+4+.75+.5+.08.

The total amount of money Zoe has is: $25.33

Emerson struck out 32% of the time.

112 out of 350 can be laid out as:  112/350

Multiply both the Denominator and the Numerator by 100:

112/350 × 100/100 = 32/100 = 32%

I hope this help answer your question!

The subject of this question is Mathematics. Emerson's strikeout rate is 32%.

The subject of this question is Mathematics as we are dealing with numerical data. We are given that Emerson struck out 112 times in 350 at-bats.

To find the strikeout rate, we divide the number of strikeouts by the number of at-bats and multiply by 100 to get a percentage. So, the strikeout rate would be (112/350) * 100 = 32%.

Therefore, Emerson's strikeout rate is 32%.

After buying a collectors guide for $12, Jay can use the remaining $13 to purchase a maximum of 6 individual comics at $2 each.

Jay has a total of $25 to spend on comic books after purchasing a collectors guide for $12. To calculate the greatest number of individual comics he can buy at $2 each, we subtract the cost of the collector's guide from his total budget:

$25 - $12 = $13 remaining

Each comic book costs $2, so we divide the remaining amount by the cost of one comic book:

$13 / $2 = 6.5

Since Jay cannot buy half a comic book, he can purchase a maximum of 6 comics.