Rosie was traveling to see her grandkids. She recorded the following data about the relationship between the time traveled and the distance traveled . What was her average speed ?

Answer: y = 6

Step-by-step explanation:

1. Subtract 7 from both sides to isolate -2y.

-2y = -12

2. Divide both sides by -2 to isolate the y.

y = 6

Answer:

109.96

Step-by-step explanation:

I got about 109 so it rounds to 109.96

Answer:

A

Step-by-step explanation:

hi

It's a kind of multiplication where you do a serie of multiplication starting from your number until one.   It written with a  "!" after the number.

ex :    3! =  3*2*1  = 6

      10! = 10*9*8*7**6*5*4*3*2*1 = 2628800

Answer:

answer is below

Explanation:

A factorial multiplies a number by the numbers below it. A factorial also acts as a function.

An example of a factorial can be:

\(5!=5 \times 4 \times 3 \times 2 \times 1\)

\(5!=120\)

Factorial of zero is defined as 1.

Answer:

x=30

Step-by-step explanation:

firstly, Cross multiply

21 × x = 18 × 35

x = 630 ÷ 21

x=30

Hope it helps!

Mark as brainliest please!

Answer:

Step-by-step explanation:

Given proportion,

→ 21/35 = 18/x

Now we have to,

→ Find the required value of x.

Let's find the value of x,

→ 21/35 = 18/x

→ 21x = 18 × 35

→ 21x = 630

→ x = 630/21

→ [ x = 30 ]

Hence, the value of x is 30.

Step-by-step explanation:

so,

compound interest formula is a=(1+r/)

10+6/100

=16/100=0.16

Answer:

192 hours per day / 8 hours per person per day = 24 people

Step-by-step explanation:

Assuming each person works for 8 hours a day, the total number of hours needed to complete the project is:

720 person-days x 8 hours = 5,760 hours

To complete the project in 30 days, the total number of hours needed per day is:

5,760 hours / 30 days = 192 hours per day

Answer:

\(-2\sqrt{2}-2 < a < 2\sqrt{2}-2,\;\;a\neq0\)

Step-by-step explanation:

Given quadratic equation:

\(ax^2 + (2a + 2)x + a + 3 = 0\)

To find the possible values of "a" such that the given equation has two roots and the distance between them on the number line is greater than 1, use the quadratic formula.

\(\boxed{\begin{minipage}{4 cm}\underline{Quadratic Formula}\\\\$x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}$\\\\when $ax^2+bx+c=0$ \\\end{minipage}}\)

Comparing the coefficients:

Substitute the coefficients into the quadratic formula:

\(x=\dfrac{-(2a+2) \pm \sqrt{(2a+2)^2-4a(a + 3)}}{2a}\)

Simplify the discriminant (the part under the square root sign):

\(x=\dfrac{-(2a+2) \pm \sqrt{-4a+4}}{2a}\)

Factor out 4 from the discriminant:

\(x=\dfrac{-(2a+2) \pm \sqrt{4(-a+1)}}{2a}\)

\(\textsf{Apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}\)

\(x=\dfrac{-(2a+2) \pm \sqrt{4}\sqrt{-a+1}}{2a}\)

Therefore:

\(x=\dfrac{-(2a+2) \pm 2\sqrt{-a+1}}{2a}\)

Factor out the common term 2:

\(x=\dfrac{-(a+1)\pm \sqrt{-a+1}}{a}\)

Therefore, the two solutions are:

\(x=\dfrac{-a-1+\sqrt{-a+1}}{a},\;\;x=-\dfrac{a+1+\sqrt{-a+1}}{a}\)

As both solutions have "a" as their denominator, a ≠ 0.

Note: When substituting a = 0 into the original equation, we are left with a linear equation, which only has one root. Therefore, this confirms that a ≠ 0.

Now we have found expressions for the two roots, we can set the distance between them to greater than 1:

\(\dfrac{-a-1+\sqrt{-a+1}}{a}-\left(-\dfrac{a+1+\sqrt{-a+1}}{a}\right) > \:1\)

\(\dfrac{-a-1+\sqrt{-a+1}}{a}+\dfrac{a+1+\sqrt{-a+1}}{a} > \:1\)

Simplify:

\(\begin{aligned}\dfrac{-a-1+\sqrt{-a+1}+a+1+\sqrt{-a+1}}{a}& > 1\\\\\dfrac{2\sqrt{-a+1}}{a}& > 1\\\\2\sqrt{-a+1}& > a\\\\(2\sqrt{-a+1})^2& > a^2\\\\4(-a+1)& > a^2\\\\-4a+4& > a^2\\\\a^2+4a-4& < 0\\\\(a+2)^2-8& < 0\\\\(a+2)^2& < 8\end{aligned}\)

\(\textsf{For\;\;$u^n < a$,\;\;if\;$n$\;is\;even\;then\;\;$-\sqrt[n]{a} < u < \sqrt[n]{a}|$:}\)

\(-\sqrt{8} < a+2 < \sqrt{8}\)

Therefore:

\(-\sqrt{8} -2 < a < \sqrt{8}-2\)

\(-2\sqrt{2}-2 < a < 2\sqrt{2}-2\)

So the possible values of "a" such that ax² + (2a + 2)x + a + 3 = 0 has two roots and the distance between them on the number line is greater than 1 are:

\(\large{\boxed{-2\sqrt{2}-2 < a < 2\sqrt{2}-2,\;\;a\neq0}\)

Answer:

f(x)=1/16(x-2)^2+2

Step-by-step explanation:

The Equation can be written like this:

f(x) = 1/(4p)(x -h)^2 +(k-p)

where (h, k) is the focus, and p is half the distance between focus and directrix. Here, (h, k) = (2, 6) and p=(6-(-2))/2 = 4. So the equation is ...

 f(x) = 1/16(x -2)^2 +2

Hi there!

~

\(2 \frac{1}{4} \div ( \frac{3}{8} \div \frac{1}{2} )\)

\(= 3\)

Hope this helped you!

Answer:

1 11/16

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

y = -1/5x - 3

Step-by-step explanation:

Plug in the slope as the coefficient of x (the number before x) and put the intercept after it.

Answer:

Y=-1/5x-3

Step-by-step explanation:

Slope is m and intercept is b:)

Answer:

Step-by-step explanation:

A. 63.71

B. 463.71

Answer:

900 hundreds

Step-by-step explanation:

just take off all the numbers and add zeros

Answer:

hundreds

Step-by-step explanation:

The underlined value is the hundreds value. The third number will always be the hundreds.

Answer:

Kendra has 37 figs.

Toby has 70 figs

Step-by-step explanation:

Mariah has 17 figs, so if Kendra has 20 more figs than Mariah, then you will do 20 + 17, which is 37. Kendra has 37 figs.

Toby has 33 more figs than Kendra. Since we figured out that Kendra has 37 figs, we just have to do 37 + 33, which is 70. Toby has 70 figs.

Answer:

4

Step-by-step explanation:

The cube root of 64 is the number which when multiplied by itself three times gives the product as 64. Since 64 can be expressed as 2 × 2 × 2 × 2 × 2 × 2. Therefore, the cube root of 64 = ∛(2 × 2 × 2 × 2 × 2 × 2) = 4.

The cube root of 64 is 4.

Before solving the question, let's understand the concept of cube root.

The cube root of a number is the value obtained by multiplying it by itself three times or thrice. When we multiply 3 by itself three times, we get 3 x 3 x 3 = 27 = 3³, so the cube root of 27 is 3. Thus, we can say that the cube root gives a value that is basically cubed.

The cube root is denoted by ∛

Now, we will find the cube root of 64.

Firstly, we have to find factor 64.

64 = 2 × 2 × 2 × 2 × 2 × 2.

64 = ∛4³

64 = 4

Therefore, the cube root of 64 is 4.

To know more about cube root:

https://brainly.com/question/12105008

Answer:

about 3.1%

Step-by-step explanation:

I hope that helped you

Answer:

Hello!

The formula for percentage increase is:

Percent Increase = {( New Value - Old Value) / Old Value × 100}

Substitute = {( 566.60 - 550) / 550 × 100]

Solve:

566.60 - 550 = 16.6

16.6 / 550 = 0.0301818182

0.0301818182 × 100 = 3.0181818182

You may round that to 3.1%

So, Mr. Dawkins' salary increased by about 3.1%

Step-by-step explanation:

can i get brainleist?

Answer:

they lost 29.3% of the games

Step-by-step explanation:

They lost 29.3%of the softball games.

Explanation:

Total number of games = 75

Number of games won = 55

Number of games lost = 75 − 55 = 22

22/75 ÷ 100% = 29.3%

Answer:

76

Step-by-step explanation:

80-4=76

Answer:

The answer is 2(x-3)

Explanation: Think of x-3 as its own expression. Multiply the expression by 2 to get the answer.

Answer: 2(x-3)

Step-by-step explanation:

Step 1: Split the sentence into 2 parts.

'2 times'= 2 x (or 2 times something)

'the difference of x and 3'= x-3

Step 2: combine to form an expression/equation

2(x-3)

Hope this helps!! :D

Answer:i think it would be 1/3 a pound is 1 dollar and its 3 dollars for 1 pound

if thats wrong im so sorry

Step-by-step explanation:

Answer: x=16

Step-by-step explanation:

Knowing that the sideways lines are parallels, the corner of them are equal to each other. Using this information, we can create an equation.

6x-12=4x+20

2x-12=20

2x=32

x=16.

Answer:

2 to 3

2/3 or .67 to 1

5.33 to 8

Step-by-step explanation:

Those are your answers

Volume is calculated using the formula volumes = 0.5 * b * h * length, where b is the triangle's base length, h is its height, and length is the prism length.

Explaining a triangle

Triangles: What are they? Three vertices make up a triangle, a three-sided polygon. The triangle's angles are formed by a point where the three are joined end to end. The triangle's three angles add up to a total of 180 degrees.

Answer: What is a triangle?

A triangle is made up of three vertices, three angles, and three sides. A triangle's internal angles add up to 180 degrees. The triangle's third side is longer than the two sides added together. where is