Which of the following expressions represents three times the sum of p and 8?
A.
3p + 8
B.
3(p + 8)
C.
3(p - 8)
D.
8(p + 3)

Answer:

Step-by-step explanation:

Area of rectangle is  b*h

so

a = (x-3)(x+7)

75 = (x-3)(x+7)

75 = x²+4x-21

0 = x²+4x-96

(x+12)(x-8)=0

x = -12, or x = 8

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's simplify ~

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ {x}^{2} - 10x + 25 } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ {x}^{2} - 5x - 5x + 25 } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ {x}^{} (x- 5) - 5(x - 5) } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ (x- 5) (x - 5) } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ (x- 5) {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: (x- 5) [/tex]

value x lies between :

[tex]\qquad \sf  \dashrightarrow \: - 5 \leqslant x \leqslant 5[/tex]

if the value of x is taken -5

[tex]\qquad \sf  \dashrightarrow \: - 5 - 5[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 10[/tex]

if value of x is taken as 5

[tex]\qquad \sf  \dashrightarrow \:5 - 5[/tex]

[tex]\qquad \sf  \dashrightarrow \:0[/tex]

So, the possible values of the required expression lies between ~

[tex]\qquad \sf  \dashrightarrow \: - 10 \leqslant \sqrt{ {x}^{2} - 10x + 25 } < 0[/tex]

I hope you understood the whole procedure. let me know if you have any doubts in given steps ~

Answer:

The solution is in the image

Answer:

y = (-2/3)x + 4

Step-by-step explanation:

the equation of a line is given by the formula y = mx + b where m is the slope and b is the y intercept.

so,

y = (-2/3)x + b

to find b we plug in the values of x and y given by the point (-6,8)

8 = 4 + b

b = 4

so y = (-2/3)x + 4

[tex]\text{Given that,} ~ p(x) = x^2 -5~ \text{and}~ h(x) = \sqrt{x+5}\\\\(p\circ h)(x)\\\\=p(h(x))\\\\=p\left( \sqrt{x+5} \right)\\\\=\left( \sqrt{x+5} \right)^2 -5\\\\=x +5-5\\\\=x[/tex]

Answer:

  No

Step-by-step explanation:

An exponent signifies the number of times the base is a factor in the product. When products involving the same base are multiplied, the total number of factors is the sum of the number in each of those products.

__

  [tex]5^2=5\cdot5\\\\5^9=5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\\\\5^2\cdot5^9=(5\cdot5)\cdot(5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5)=5^{11}[/tex]

The base of the exponent in the product is the value that is a repeated factor. It is 5, not (5·5).

Your friend is not correct.

__

The general rule for exponents is ...

  (a^b)(a^c) = a^(b+c)

Answer:

31.2%

Step-by-step explanation:

75000+35000 = 110000

160000 - 110000 = 50000

50000 ÷ 160000 = 0.312

0.312 x 100 = 31.2 %

Answer:

$73.5

Step-by-step explanation:

*1.05 interest every year

so all you have to do is 70*1.05=73.5

Answer: $73.5

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Do the powers

Then the bracket

Then x or ÷

And then + or -

Answer:

  D.  1/4

Step-by-step explanation:

You want to know the probability Marcy will miss a free throw, given that she makes 15 of 20.

We assume Marcy's record at practice is typical of her performance. It tells us that she makes 15/20 = 3/4 of the free throws she takes. That means she misses 1 -3/4 = 1/4 of the free throws.

The probability she will miss her free throw is 1/4.

__

Additional comment

Many assumptions are involved in this calculation. One of them is that her next throw is unaffected by her last throw. It is a rare player for whom that is the case.

<95141404393>

Using the given box and whisker plot, it is found that the mean most likely exceeds the median for Elaine, hence option B is correct.

A box and whisker plot shows three things:

In this problem:

The mean most likely exceeds the median for Elaine, hence option B is correct.

More can be learned about box and whisker plots at https://brainly.com/question/27743205

#SPJ1

Answer:

Step-by-step explanation:

I would just like to explain how this works with a visual (please enjoy my drawing <3 haha)

With my drawing we know that the bird is 150 feet above sea level, and the fish is 100 feet below sea level.

From the bird to the water it is 150 feet, from water to fish is 100 feet

From the bird to the fish it is 150 feet + 100 feet

so we know from the bird (150 feet above sea level) to the fish(100 feet below sea level).

[tex]|-24 \div 2^2|\\\\\\=\left|-24 \times \dfrac 1{2^2} \right|\\\\\\=\left|-\dfrac{24}4\right|\\ \\\\=|-6|\\\\\\=6[/tex]

The values of x in f(x) = 3|x - 2| + 6 when f(x) = 18 are 6 and -2

The function is given as:

f(x) = 3|x - 2| + 6

The value of f(x) is

f(x) = 18

So, we have:

3|x - 2| + 6 = 18

Subtract 6 from both sides

3|x - 2| = 12

Divide both sides by 3

|x - 2| = 4

Remove the absolute bracket

x - 2 = 4 or x - 2 = -4

Add 2 to both sides

x = 6 or x = -2

Hence, the values of x are 6 and -2

Read more about absolute values at:

https://brainly.com/question/729268

#SPJ4

Answer:

Step-by-step explanation:

Answer:

ok this is pretty simble you just have to subtract the bottom exponents from the top so

3-2=1

2-2=0

a^1=a

a

Hope This Helps!!!

Answer:

Step-by-step explanation:

We know that:

We also know:

Here are the answers verified:

The correct option is B.

Answer:

A

Step-by-step explanation:

You have to simplify the brackets in turn.

3 times x^3- 7x+1 = 3x^3- 21x+ 3

then do 3 times x + 4= 3x + 12

you then add them all together, if they have a power add them, if they just have an x add them, and if they are just a number add them.

So it goes to 3x^3- 24x - 9,

this is because 3x^3 cant be added/ subtracted by anything, -24x is made from -21x- 3x, and -9 is made from 3 - + 12, so this means 3 - 12 = -9.

I hope this helps, have a lovely day.

Answer:

Top right

Step-by-step explanation:

When mult/dividing by a negative number, the sign always flips.

Step-by-step explanation:

it's either 3 or 2 probably

Answer:

7.6

Step-by-step explanation:

We want to find the distance between (0,6) and (-3,-1)

We can find the distance between any two points using the distance formula

Distance between two points =

[tex] \sqrt{(x2 - x1)^{2} +(y2 - y1) {}^{2} } [/tex]

Where the values of x and y are derived from the the two points. (x1,y1) and (x2,y2)

Here the two points are (0,6) and (-3,-1)

So we have (x1,y1) = (0,6) so x1 = 0 and y1 = 6

And we have (x2,y2) = (-3,1) so x2 = -3 and y2 = -1

Now we plug in the values of x and y into the formula and evaluate to get the distance.

Again recall distance = √(x2-x1)²+(y2-y1)²

==> plug in x2 = -3 , x1 = 0, y2 = -1 and y1 = 6

Distance = √(-3-0)²+(-1-6)

==> evaluate operations inside of parenthesis

Distance = √(-3)²+(-7)²

==> evaluate all exponents

Distance = √9+49

==> and 9 and 49

Distance = √58 = 7.6 (rounded)

Answer: B) 6.5

Step-by-step explanation:

   We will use the Pythagorean theorem to solve. The "c" variable is the hypotenuse and the other variables are the legs.

a² + b² = c²

3.6² + b² = 7.4²

12.96 + b² = 54.76

b² = 41.8

b = [tex]\sqrt{41.8}[/tex]

b ≈ 6.5

     The length of the missing side is about B) 6.5.

Answer:

B)6.5

Step-by-step explanation:

H²=P²+B²

7.4²=3.6²+B²

B=√41.8

B=6.465≈ 6.5

Answer:

x = 48

Step-by-step explanation:

5x + 12 = 6x - 36 ( subtract 6x from both sides )

- x + 12 = - 36 ( subtract 12 from both sides )

- x = - 48 ( multiply both sides by - 1 )

x = 48

Step-by-step explanation:

5x + 12 = 6x - 36

5x + 12 - 6x = - 36

- x = - 36 - 12

- x = - 48

Now change the sign of both side of the equation...

x = - ( - 48)

x = 48...

Answer:

C

Step-by-step explanation:

  x = 7 cos (2pi/3)            y =  7 sin (2pi/3)

  x = -7/2                          y = 7 sqrt(3) /2

Answer:

Doing something despite difficulty or delay in achieving success.

Step-by-step explanation:

Answer:

continued effort to do or achieve something despite difficulties, failure, or opposition

Step-by-step explanation:

Answer:

Infinitely many solutions

Step-by-step explanation:

Equations can either have no solutions, one solution, or infinitely many solutions.

Examples:

Given: 3(2x − 4) = 2(3x − 6)

Distribute:

3(2x − 4) = 2(3x − 6)

3(2x) + 3(−4) = 2(3x) + 2(−6)

6x − 12 = 6x − 12

As both sides of the equation are identical, this equation has an infinite number of solutions.

Learn more here:

https://brainly.com/question/25326244

Step-by-step explanation:

[tex]1.a + 27 = 90 \: \: (complementary \: angles = 90) \\ a = 90 - 27 \\ a = 63degrees \\ 2. \: x + 101 + 109 + 90= 360 \: (revolution \: angles = 360) \\ x = 360 - (101) - (109) - (90) \\ x = 60degrees \\ 3. \: a + 85 = 180 \: (angles \: on \: str \: line = 180) \\ a = 180 - 85 \\ a = 95degrees \\ b = 85 \: (vertically \: opp \: angle) \\ c = 95 \: (vertically \: opp \: angle)[/tex]

Answer:

14

Step-by-step explanation:

Given:

A student earned a grade of 70% on a math test that had 20 problems.

To Find:

How many problems on this test did the student answer correctly? ( round to the nearest whole number)

Solve:

When I solve these question I have a formula.

Which is

Number of question correctly ÷ Total × 100

Thus,

1/20 × 100 = 5%

2/20 × 100 = 10%

3/20 × 100 = 15%

4/20 × 100 = 20%

5/20 × 100 = 25%

6/20 × 100 = 30%

7/20 × 100 = 35%

8/20 × 100 = 40%

9/20 × 100 = 45%

10/20 × 100 = 50%

11/20 × 100 = 55%

12/20 × 100 = 60%

13/20 × 100 = 65%

14/20 × 100 = 70%

15/20 × 100 = 75%

16/20 × 100 = 80%

17/20 × 100 = 85%

18/20 × 100 = 90%

19/20 × 100 = 95%

20/20 × 100 = 100%

As you can see that 14/20 × 100 = 70%

Hence, the student answer 14 question correct.

Kavinsky

Answer:

Width = 9ft.

Length=22ft.

Step-by-step explanation: