If f (x)=2x^2+5 square root x-2

Answer:

10

Step-by-step explanation:

used Pythagorean theorem

a ^2+b^2=c^2

6^2+8^2=c^2

36+64=c^2

c^2= 100

find square root of 100 to find c

=10

Answer:

31.6

Step-by-step explanation:

l^2+w^2=d

30^2+10^2=1,000

square root of 1000 is 31.6

The value of x in the given proportion is determined as 10.

The value of x in the proportion is calculated by applying the following formula as follows;

The given expression is as follows;

20/x = 4/2

From the given expression above, to determine the value of x, we can cross and multiply.

4x = 20 x 2

4x = 40

divide both sides by 4;

4x / 4 = 40/4

x = 10

Thus, the value of x in the given proportion is determined as 10.

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Answer:

There are 17 terms in the sequence

Step-by-step explanation:

Arithmetic Sequence

An arithmetic sequence is a list of numbers with a definite pattern by which each term is calculated by adding or subtracting a constant number called common difference to the previous term. If n is the number of the term, then:

[tex]a_n=a_1+(n-1)r[/tex]

Where an is the nth term, a1 is the first term, and r is the common difference.

In the problem at hand, we are given the first term a1=13, the last term an=-23, and the common difference r=-2 1/4. Let's solve the equation for n:

[tex]\displaystyle n=1+\frac{a_n-a_1}{r}[/tex]

We need to express r as an improper or proper fraction:

[tex]\displaystyle r=-2\frac{1}{4}=-2-\frac{1}{4}=-\frac{9}{4}[/tex]

Substituting:

[tex]\displaystyle n=1+\frac{-23-13}{-\frac{9}{4}}[/tex]

[tex]\displaystyle n=1+\frac{-36}{-\frac{9}{4}}[/tex]

[tex]\displaystyle n=1+36*\frac{4}{9}=17[/tex]

n=17

There are 17 terms in the sequence

Answer:

5/7 is a fraction, not a whole number.

Answer:

Well, let us find the contanst value. $19.50 ÷ 6 = $3.25 per dog food bag. $3.25 x 3 = $9.75.

Amelia would have to pay $9.75 for 3 bags of dog food

Answer: Its 10 because its congrugent.

Step-by-step explanation:

Answer:

5 Because in the graph it shows

Step-by-step explanation:

Because vertical is up and down so in the graph it shows that the purple section up and down is taking up 2 sections 10/2=5  and this means that one section is 5 units so the answer would be:

5 units

Answer:

170

Step-by-step explanation:

Answer:

170

Step-by-step explanation:

To get to 300 from 30 you multiply by ten, so you also want to multiply 17 by ten.

Answer:

[tex]5<t<6\\(5,6)[/tex]

Step-by-step explanation:

We know that the function of the height of a rocket after t seconds is:

[tex]h(t)=-9.8t^2+107.8t[/tex]

We want to find the interval of time such that the rocket is higher than 294 meters.

So, substitute 294 for h(t) and solve for t:

[tex]294=-9.8t^2+107.8t[/tex]

Just as it happens, everything is divisible by -9.8. So, divide everything by -9.8. This yields:

[tex]-30=t^2-11t[/tex]

Add 30 to both sides:

[tex]t^2-11t+30=0[/tex]

Factor. We can use -6 and -5. So:

[tex](t-6)(t-5)=0[/tex]

Zero Product Property:

[tex]t-6=0\text{ or } t-5=0[/tex]

Solve for each equation:

[tex]t=6\text{ or } t=5[/tex]

So, our answers are 5 seconds and 6 seconds.

Therefore, between the fifth and sixth second, the rocket is higher than 294 meters.

Note that at exactly the fifth and sixth second, our height is exactly 294 meters, not higher.

Therefore, we won't include 5 and 6 in our solution set.

As an inequality, this is:

[tex]5<t<6[/tex]

In interval notation, this is:

[tex](5,6)[/tex]

And we're done!

Answer:

you only show one graph in your picture

Answer:

22 cars & 2 trucks

Step-by-step explanation:

Let c stand for cars

Let t stand trucks

12c + 18t = 300

If we know that c is 22, then let's find t:

12(22) + 18t = 300 (first do what is in parenthesis)

264 + 18t = 300 (then combine like terms)

18t = 36 (divide to get t alone)

t = 2

Ans: They washed 22 cars and 2 trucks

Answer:

That would be "C"

Step-by-step explanation:

Good luck with your work :)

Answer: C: 0.888

Step-by-step explanation: Hope this helps :)

Answer:

∅ = 16.2602°

Step-by-step explanation:

cos∅ = adjacent / hypotenuse

Since we are dealing with right triangles, we can use trigonometry to help us solve for the missing angle.

cos∅ = 24/25

∅ = cos⁻¹(24/25)

∅ = 16.2602°

Answer:

5 seconds

Step-by-step explanation:

All you have to do is make a ratio.

10 yards = 5/3 seconds

10 * 3 = 30 yards

5/3 * 3 = 15/3 = 5 seconds

Answer: 36.196 prep

hope this helps :)

Answer:

Its 36.2

Step-by-step explanation:

Follow the rule ¨5 or more raise the score, 4 or less, let it rest¨. 6 and 9 are both larger then 5 making the .1 into a .2, thus being 36.2

Step-by-step explanation:

i

Answer:

Option (D)

Step-by-step explanation:

If a point (h, k) divides the line segment having ends at [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] in the ratio of m : n then,

h = [tex]\frac{mx_2+nx_1}{m+n}[/tex]

k = [tex]\frac{my_2+ny_1}{m+n}[/tex]

If a point Q(h, k) divides the segment with ends A(-4, 6) and B(6, 1) in the ratio of 3 : 2 then,

h = [tex]\frac{3(6)+2(-4)}{3+2}[/tex]

  = [tex]\frac{18-8}{5}[/tex]

h = 2

k = [tex]\frac{3(1)+2(6)}{3+2}[/tex]

  = [tex]\frac{3+12}{5}[/tex]

k = 3

Therefore, Coordinates of the point Q are (2, 3).

Option (D) will be the answer.

Answer:

x = 45 miles

Step-by-step explanation:

We can use ratios to solve

2 gallons       3 gallons

--------------  = --------------

30 miles        x miles

Using cross products

2x = 3*30

2x = 90

Divide by 2

2x/2 = 90/2

x = 45 miles

Answer:

He can travel 45 miles with 3 gallons

Step-by-step explanation:

If he traveled 30 miles with 2 gallons then that would mean each gallon lasted 15 miles, 30/2=15, therefore if there were 3 gallons he would travel 45 miles, 45/3=15

Answer:

almost an infinite amount, here are just a few.

Step-by-step explanation:

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Answer:

she will need $1,172.95

Step-by-step explanation:

Answers:

x = 57

y = 86

z = 37

=================================================

Work Shown:

x+123 = 180 .... since x and 123 form a straight line

x = 180-123

x = 57

y = 86 since the y and 86 angles are vertical angles

-------

For any triangle, the three angles always add to 180. So,

x+y+z = 180

57+86+z = 180

143+z = 180

z = 180-143

z = 37

As a check,

x+y+z = 57+86+37 = 180

which confirms the value of z

Answer:

677.30

Step-by-step explanation:

5, round up to 3

Rounding off 677.25 to the nearest tenths gives 677.20.

So, 677.25 to the nearest tenth:

Therefore, rounding off 677.25 to the nearest tenths gives 677.20.

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This is the graph of a quadratic function.

The y-intercept of the graph is the function value y = 0.

The x-intercepts of the graph (in order from least to greatest) are located at x = 0 and x = 6.

The greatest value of y is y = 9.

For x between x = 0 and x = 6, the function value y > 0.

In Mathematics, the graph of a quadratic function always form a parabolic curve or arc because it is u-shaped. Based on the graph of this quadratic function, we can logically deduce that the graph is a downward parabola because the coefficient of x² is negative and the value of "a" is greater than zero (0).

The y-intercept of the graph is represented by (0, 0) and the x-intercepts of the graph listed in order from least to greatest are located at the following points;

x = 0 ⇒ (0, 0)

x = 6 ⇒ (0, 6).

The greatest value or vertex (maximum value) of y is at y = 9. For x between x = 0 and x = 6, the function value y is always greater than 0.

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12.5%

All you have to do to get the percentage is divide 3 by 24, which gives you .125

Then you multiply by 100 or, move decimal place two places to the right, which gives you 12.5 so 12.5%

Hope this helps

Answer: 12.5%

Step-by-step explanation:

3 / 24 = 0.125

Move the decimal point to the right 2 times and you get 12.5%

Answer:

see below

Step-by-step explanation:

We can use point slope form

y - y1 = m(x-x1)

where m is the slope and ( x1,y1) is a point on the line

y-12 = 3(x-12)

If we want it in slope intercept form

Distribute

y-12 = 3x-36

Add 12 to each side

y-12+12 = 3x-36+12

y = 3x-24

The system of inequalities represented by the graph is y> x-2 and y < x + 1

These are graphs that are plotted in order to show linear functions that are compared by the mathematical symbols <, >, ≥, ≤.

The inequality here shows a graph that has a Y axis and an x axis. The graph cuts across both axis.

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Answer:

[tex]\huge\boxed{\sf x = 64 \ words}[/tex]

Step-by-step explanation:

Given that,

Memorized words = 16

These memorized words are 1/4 of the list.

Let the total words be x.

So,

[tex]\displaystyle \frac{1}{4} \ of \ the \ total \ words = 16[/tex]

Key: "of" means "to multiply" and total words = x

[tex]\displaystyle \frac{1}{4} \times x = 16\\\\Multiply \ both \ sides \ by \ 4\\\\1 \times x = 16 \times 4\\\\x = 64 \ words\\\\\rule[225]{225}{2}[/tex]