if we know f(x), what would you do to find f(x+2)

Answer:

m + 7

Step-by-step explanation:

→ Collect like terms

3.8m - 2.8m + 7

→ Simplify

m + 7

Answer: are congruent, rotation

Step-by-step explanation:

he ran 10meters last weekend

Answer:

20 and 10

These are the only two possible numbers who match those descriptions.

Answer:

The max height is 11.25 feet and the ball will take 1.464 seconds to hit the ground

Step-by-step explanation:

The quickest way to solve this equation is by using the equation that you gave, which is h(t)= -16t^2 + v0t + h0. This equation models the trajectory of the football, which means that at the equation's vertex, we can model what the height of the ball is. Along with that, by finding the positive root of where h(t) = 0, we can find how long it will take for the ball to hit the ground.

First, lets find h0 and v(0)

h0 is the initial height of the ball. So we know that the ball leaves your hand of 5 feet, so h0 = 5. Similarly, the initial velocity is 20 ft/sec, so v0 = 20.

Plugging 5 in for h0 and 20 for v0, we get h(t) = -16t^2 + 20t + 5.

Second, find max height.

To find the vertex of a parabola, use -b/2a to find the time, and plug that into h(t) to get the height.

b=20

a=-16

t = -b/2a = -20/2(-16) = .625 seconds

h(.625) = 11.25 feet

The max height is 11.25 feet

Third, find how long.

To find this, we need to find the t-intercepts of the equation.

set h(t) = 0

-16t^2 + 20t + 5 = 0

Use quadratic formula to find t

t = (- 20 ± [tex]\sqrt{20^{2} - 4(-16)(5)}[/tex])/2(-16)

t = {1.464}, -.214

The ball will take 1.464 seconds to hit the ground.

Here’s what you need to know about intercepts. The x intercept of a graph has y coordinate zero. The y intercept of a graph has x coordinate zero.

AN EXAMPLE OF THIS IS:

So if you have a function y = 2x + 8 you would set x = 0 to find the y intercept. So we would get y = 8. To find the x intercept we would set y = 0 and get 0 = 2x + 8

or -8 = 2x or x = -4

Now if you have a more difficult like function y = 3x^2 + 10x - 4 we proceed the same way. To find the y intercept we would set x = 0 and get y = -4 so the y intercept is (0,-4)

To find the x intercept we would set y = 0 and get 3x^2 + 10x - 4 = 0. If you know the quadratic formula you could solve this by:

x = [-b +- SR(b^2 - 4*a*c] / 2a

so in our case x = [-10 +- SR(100 - 4*3*(-4))] / (2*3)

x = [-10 +- SR(100 + 48)] / 6

x = [-10 +- SR (148)] / 6

x = [-10 +- 12.2] / 6 approximately

x = [-10 - 12.2] / 6 or [-10 + 12.2 / 6]

x = -22.2/6 or 2.2/6

Answer:

The Turks burned down Constantinople

Answer:

33 cm²

Step-by-step explanation:

Formula

Solving

Answer:

33 cm²

Step-by-step explanation:

Since the pyramid has a square base, the area of each of the triangular sides will be the same.

Therefore, to calculate the total surface area, find the area of one triangle, multiply it by 4, then add it to the area of the square base.

Formulae

Area of a square = x³  (where x is the side length)

Area of a triangle = 1/2 × base × height

Calculation

area of the square base = 3² = 3 × 3 = 9 cm²

area of one triangle = 1/2 × 3 × 4 = 6 cm²

Solution

Total area = area of the square base + 4 × area of one triangle

                 = 9 + (4 × 6)

                 = 9 + 24

                 = 33 cm²

Answer:

3:10

Step-by-step explanation:

3:10 is the ratio form of 3/10

Answer:

First option

Step-by-step explanation:

The expression can be simplified to:

[tex]\frac{8g^{15} }{64h^6}[/tex] = [tex]\frac{g^{15} }{8h^{6} }[/tex]

You can't simplify this further since the indices if you think about it is g 15 times or h 6 times so you can't simply them further.

Total times can give:-

One question can be answered by 2

Total persons=17(2)=34

Answer:

533.3

Step-by-step explanation:

x/480+x/600

2x/18x

4800/9=533.333333

533.34

Answer:

Step-by-step explanation:

Answer:

Question 1

Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, or a right triangle)

Given:

⇒ BC² + 8² = 10²

⇒ BC² = 36

⇒ BC = 6 cm

Question 2

Given:

⇒ MB = AB - AM = 8 - x

As ΔABC ~ ΔMBN

⇒ AB : AC = MB : MN

⇒ 8 : 10 = (8 - x) : MN

[tex]\sf \implies \dfrac{8}{10}=\dfrac{(8-x)}{MN}[/tex]

[tex]\sf \implies \dfrac45=\dfrac{(8-x)}{MN}[/tex]

[tex]\sf \implies MN=\dfrac54(8-x)[/tex]

Question 3

D = (6, 8)

As ΔBAD ~ ΔMAP

⇒ AB : AD : BD = AM : AP : MP

⇒ 8 : 6 : 10 = x : AP : MP

[tex]\sf \implies \dfrac{8}{6}=\dfrac{x}{AP}[/tex]

[tex]\sf \implies AP=\dfrac34x[/tex]

[tex]\sf \implies \dfrac{8}{10}=\dfrac{x}{MP}[/tex]

[tex]\sf \implies MP=\dfrac54x[/tex]

Question 4

Perimeter of MNCDP = MN + NC + CD + PD + MP

As ΔABC ~ ΔMBN

⇒ AB : BC : AC = MB : BN : MN

⇒ 8 : 6 = (8 - x) : BN

[tex]\sf \implies \dfrac86=\dfrac{(8-x)}{BN}[/tex]

[tex]\sf \implies BN=\dfrac34(8-x)[/tex]

NC = BC - BN

[tex]\sf \implies NC=6-\dfrac34(8-x)[/tex]

PD = 6 - AP

[tex]\sf \implies PD=6-\dfrac34x[/tex]

Perimeter of MNCDP = MN + NC + CD + PD + MP

[tex]\sf \implies perimeter=\dfrac54(8-x)+6-\dfrac34(8-x)+8+6-\dfrac34x+\dfrac54x[/tex]

[tex]\sf \implies perimeter=10-\dfrac54x+6-6+\dfrac34x+8+6-\dfrac34x+\dfrac54x[/tex]

[tex]\sf \implies perimeter=10+8+6=24[/tex]

Answer:

50/50

Step-by-step explanation:

Answer:

depends on how many there are in a deck. But going from the usual, it would be 2/52

Step-by-step explanation:

(52 is how many cards there are, if theres a different amount then change it to that)

Answer: 1365

Step-by-step explanation:

Using the Empirical Rule, it is found that her finishing time will be between 70 and 82 seconds in 95% of her races.

It states that, for a normally distributed random variable:

In this problem, the mean is of 76 seconds and the standard deviation is of 3 seconds, then:

76 - 2 x 3 = 70.

76 + 2 x 3 = 82.

Which means that values between 70 and 82 seconds are within 2 standard deviations of the mean, hence the percentage is of 95%.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

Answer: A) an equilateral triangle inscribed in a circle

Step-by-step explanation:

       In the mathematical world, a compass is a mathematical tool used for drawing and constructing precise shapes. You have likely seen one of these before, I have attached a visual example of what one might look like.

       Out of these given options, the only one that utilizes a compass for one step in addition to drawing the circle itself is A:

          A) an equilateral triangle inscribed in a circle

Read more about using a compass here: https://brainly.com/question/27490907

Answer:

Step-by-step explanation:

[tex]A=P(1+\frac{r}{n})^{nt[/tex]

A = future value ($)

P = principal (orignal amount - $400)

R = rate (written as a decimal - 3%/100= 0.03)

N = compound (yearly - 1)

T = number of years (0, 5, 10, 15)

Now, substitute each number into the formula and record them in the table.

0 years:

[tex]A=P(1+\frac{r}{n})^{nt}\\\\A=400(1+\frac{0.03}{1})^{1*0}\\\\A=400(1+\frac{0.03}{1})^0 < ==any\ number\ raised\ to\ zero=1\\\\A=400(1)\\\\A=\$400[/tex]

5 years:

[tex]A=P(1+\frac{r}{n})^{nt}\\\\A=400(1+\frac{0.03}{1})^{1*5}\\\\A=400(1+\frac{0.03}{1})^{5}\\\\A=400(1+{0.03})^{5}\\\\A=400({2.03})^{5}\\\\A=400({1.1593})\\\\A=\$463.72 < ==round\ to\ the\ nearest\ dollar\\\\A=\$464[/tex]

10 years:

[tex]A=P(1+\frac{r}{n})^{nt}\\\\A=400(1+\frac{0.03}{1})^{1*10}\\\\A=400(1+\frac{0.03}{1})^{10}\\\\A=400(1+{0.03})^{10}\\\\A=400({1.03})^{10}\\\\A=400({1.3439})\\\\A=\$537.56 < ==round\ to\ the\ nearest\ dollar\\\\A=\$538[/tex]

15 years:

[tex]A=P(1+\frac{r}{n})^{nt}\\\\A=400(1+\frac{0.03}{1})^{1*15}\\\\A=400(1+\frac{0.03}{1})^{15}\\\\A=400(1+{0.03})^{15}\\\\A=400({1.03})^{15}\\\\A=400({1.5579})\\\\A=623.16 < ==round\ to\ the\ nearest\ dollar\\\\A=\$623[/tex]

20 years:

 [tex]A=P(1+\frac{r}{n})^{nt}\\\\A=400(1+\frac{0.03}{1})^{1*20}\\\\A=400(1+\frac{0.03}{1})^{20}\\\\A=400(1+{0.03})^{20}\\\\A=400({1.03})^{20}\\\\A=400({1.8061})\\\\A=722.44 < ==round\ to\ the\ nearest\ dollar\\\\A=\$722[/tex]

Note that since we are rounding, answers may vary by a dollar or two.

Hope this helps!

Answer:

[tex]\mathrm{1 \dfrac{ 1 }{ 6 }\:cups}[/tex]

Step-by-step explanation:

Given from the graph:

There is  [tex]\frac{1}{2}[/tex] cups of paint for one jar

There are 3 cups of paint for three jars

There is 1 [tex]\frac{1}{2}[/tex] cups of paint for one jar

There is 2 cups of paint for one jar

total amount of jars = 6

But since we need to find the amount of cups in each jar, we do:

[tex]\dfrac{ 1 }{ 2 } +3+1 \dfrac{ 1 }{ 2 } +2[/tex]

Add [tex]\frac{1}{2}[/tex] and 1 [tex]\frac{1}{2}[/tex]

[tex]2+3+2[/tex]

Add 2 and 3

[tex]5+2[/tex]

Add 5 and 2

[tex]7[/tex]

total cups of paint = 7

Then we need to find how much paint could be splitted equally among the 6 jars, so we do the following:

total amount of jars = 6

total cups of paint = 7

We divide the total amount of jars by the total cups of paint

7 ÷ 6

Divide 7 by 6

[tex]\dfrac{ 7 }{ 6 }[/tex]

[tex]= 1 \dfrac{ 1 }{ 6 }[/tex]

[tex]\mathrm{Answer: 1 \dfrac{ 1 }{ 6 }\:cups}[/tex]

Answer:

-4 and 2

Step-by-step explanation:

the graph intersects the x-axis only at the points (-4,0) and (2,0) so the only zeroes of the graph are going to be -2 and 2

Answer:

An=A(n-1)-4 where A=7

Step-by-step explanation:

A piecewise function is a function that's simply built from pieces of different functions over several intervals.

Your information is incomplete as the function isn't given. Therefore, an overview will be given. It should be noted that a piecewise function simply means a function that's defined by multiple sub functions.

In this case, each sub-function applies to different interval in the domain as it's way of expressing the function.

Learn more about piecewise function on:

https://brainly.com/question/17966003

Answer:

Step-by-step explanation:

The median is the middle number (or average of middle two numbers if data set has even number of elements) of the data set.

According to the graph, the data set has 9 elements.

The 5th number in the set is the median, which is 14

14

Step-1: Prepare a table that represents the number of dots above a specific number:

[tex]\text{Dots above 10}: || \\ \text{Dots above 12}: | \\ \text{Dots above 13}: | \\ \text{Dots above 14}: | \\ \text{Dots above 15}: | \\ \text{Dots above 18}: | \\ \text{Dots above 19}: ||[/tex]

Step-2: Put the values in ascending or descending upon your choice:

[tex]10, 10, 12, 13, 14, 15, 18, 19, 19[/tex]

Step-3: Determine wether the total number of digits in the data is even or odd. This will help us find the median.

[tex]\text{9 digits in total}\\\\\text{The number of digits is \underline{odd}}[/tex]

Since the number of digits is odd, we will use the formula (a + 1)/2

(where a is the number of digits in the data)

Step-4: Substitute the number of digits in the formula.

⇒ (a + 1)/2th

⇒ (9 + 1)/2th

⇒ (10)/2th

⇒ 5th digit is median

Step-5: Look for the 5th digit in the data. That digit is your median.

[tex]10, 10, 12, 13, \underline{\underline{14}}, 15, 18, 19, 19[/tex]

The median of the dot plot is 14.

Answer:

the x is 538

Step-by-step explanation:

sorry if im not right

Answer:

Down Below

Step-by-step explanation:

b=0.5

g=0.8

1.      3b + 5g = ?

       3×0.5+5×0.8=?

        1.5+4= 5.5 cm

2.      6(3b+5g) = ?

        18b + 30g
        18×0.5+30×0.8

        9+24= 33 cm

3.          2b + 3g

           2×0.5+3×0.8
           1+2.4=3.4 cm

4.   7(2b+3g)
     14b + 21g
     14×0.5+21×0.8
     7+16.8= 23.8 cm

5.     Add number 2 and 4 together
       14b+21g+18b+30g= 32b+ 51g

Take numbers and add them from problems 2 and 4
     23.8+33=56.8 cm

Step-by-step explanation:

Answer:

-2ln + 2mn

Step-by-step explanation:

Simplify l(m-n) + m(n-l) + n(m-l)​

Step 1 : Distribute and multiply

l(m-n) + m(n-l) + n(m-l)​

l(m) + l(-n) + m(n) + m(-l) + n(m) + n(-l)

lm - ln + mn - lm + mn - ln

Step 2: Combine like terms

lm - ln + mn - lm + mn - ln

lm - lm - ln - ln + mn + mn

0 -2ln + 2mn

Solution:

-2ln + 2mn

Hope this helps!

Answer:

Step-by-step explanation:

We have two congruent angles, so we need a pair of congruent sides. This is satisfied by options 2 and 3.

Answer:

97 oz

Step-by-step explanation:

12 oz per pound

8 pounds + 1 oz

(12 · 8)+ 1

97 oz

Hope this helps!