a jogger is running home. his distance from home, as a function of time, is modeled by y=-7+8.

9514 1404 393

Answer:

  1

Step-by-step explanation:

The sum of roots of quadratic ax^2 +bx +c = 0 is -b/a. Here, that means the sum of roots is ...

  -(-4)/4 = 1

The sum of the roots is 1.

Answer:

1/2

Step-by-step explanation:

By Vieta's formulas, the sum of the roots of $ax^2 + bx + c$ is given by $\dfrac{-b}{a}$. For this quadratic, that value is

\[ \frac{-b}{a} = \frac{-(-4)}{4} = 1.\]

Since the sum of the roots is $1$, the average of the roots is $\boxed{\dfrac 1 2}$.

Alternately, we could factor $4$ out of every term of this quadratic, giving $4(x^2 - x - 1)$. Since $4 \cdot 0 = 0$, any number that is a root of $x^2 - x - 1$ will also be a root of $4(x^2 - x - 1)$. Thus, the problem can change to finding the sum of the roots of $x^2 - x - 1$.

Since the coefficient of the linear term is $-1$ and this is the opposite of the sum of the roots, we find that the sum of the roots is equal to $1$, and the average is $\boxed{\dfrac 1 2}$.

Answer:

$174438.30

Step-by-step explanation:

35000 × 1.055^30

(original amount) × (decimal percentage)^(years)

35000 × 1.055^30 = 174438.2951

round it up to = $174438.30

Answer:

Step-by-step explanation:

0.3

Answer:100000000000000000000000000000 quint zillion

Step-by-step explanation:

Answer:

3.422222e+121

Step-by-step explanation:

gotchu bro

Answer:

3 bc its facts

Step-by-step explanation:

no

Answer:

2:3

Step-by-step explanation:

Total problems=12+24=36

So since there are 24 division problems, 24:36 is the answer

But we must simplify it

So it is 2:3

Answer:x=-32

Step-by-step explanation:

Answer

[tex]3x ^{2} - 6x + 8 + \frac{4}{x + 2} [/tex]

Step-by-step explanation:

use synthetic division-

1. but all the coefficients in a box

2. put the divisor term equal to 0 so... x+2=0 ,x would have to equal negative 2 x= -2

3. drop the first coefficient

4. multiply the number outside the box by the number you just dropped and put it under the second coefficient. then subtract

5. keep repeating steps four

6. once youre done the last term below the box is your remainder and should be written as +remainder over divisor which in this case is x-2

7. everything is backwards soo the 8 would be your constant, the -6 is your x and 3 is your x^2 term.

also PLS mark brainliest :) <33

Answer:

D

Step-by-step explanation:

:)

Answer:

The real-life distance to the nearest mile between Tampa and Orlando is 88 miles

Step-by-step explanation:

String distance between Fort Myers and Miami = 7 inches

A real life distance between Fort Myers and Miami = 154 miles

So, 7 inches = 154 miles

[tex]1 inch = \frac{154}{7}=22 miles[/tex]

Scale : 1 inch = 22  miles

String distance between Tampa and Orlando = 4 inches

Using scale

The real-life distance to the nearest mile between Tampa and Orlando = [tex]4 \times 22 = 88 miles[/tex]

Hence The real-life distance to the nearest mile between Tampa and Orlando is 88 miles

Answer:

x = -6

Step-by-step explanation:

So you need to start by simplifying the equation. Subtract 4 from both sides.

3x - 6 = -24.

Now, you can add the 6 to both sides.

3x = -18.

You can now divide by 3 to get x.

x = -6

Answer:

x=5 y=130

Step-by-step explanation:

27x-5 and 11x-5 = 180

27x-5 + 11x-5 = 180

38x- 10= 180

38x= 190

x=5

11(5)-5 = 50

50 + y= 180

y= 130

Answer:

t≤ 9

Step-by-step explanation:

3.5+4t≤ 39.5

subtract 3.5 from each side

4t≤ 36

divide each side by 4

t≤ 9

Answer:

t ≤ 9

Step-by-step explanation:

3.5 + 4t ≤ 39.5

3.5 + 4t - 3.5 ≤ 39.5 - 3.5

4t ≤ 36

4t ÷ 4 ≤ 36 ÷ 4

t ≤ 9

Answer:

(−81)(−9) = 729

Step-by-step explanation:

Multiply -81 by -9 and you get 729

Answer:

729

Step-by-step explanation:

The expression (−81)(−9) will give the value of 729. Step-by-step explanation: The given expression is (−81)(−9) .

Answer:

the second girl was. 59 seconds faster than the first girl.

Step-by-step explanation:

14.47-13.88= .59

Answer:

Step-by-step explanation:

Given the simultaneous inequality

2x+y<10  ....... 1

2x-4y<8  ....... 2

Subtract both equation from each other

(2x-2x)+(y-(-4y))<10-8

0+5y<2

y < 2/5

y < 0.4

Substitute the given value of y into 1;

2x+y<10

2x + 2/5 < 10

2x < 10 - 2/5

2x < 48/5

10x < 48

x < 4.8

Hence the solution to the inequality expressions is (4.8, 0.4)

Answer:

Factoring.

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

y = 2x² - 6x - 8

0 = 2x² - 6x - 8

Step 2: Find roots

And we have our final answer!

Answer:

first take 2 out of the equation

y=2(x^2-3x-4)

then factor

y=2(x-4)(x+1)

then solve

(x-4)=0 .  (x+1)=0

x=4 .          x=-1

Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The number of tickets the airline still sells will be 88. Then the correct graph is A.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

An airplane can seat up to 175 passengers.

The airline has already sold 87 tickets for a flight on the airplane.

Then the graph represents the solution to the inequality that the number of tickets the airline still sells will be

Let x be the number of the ticket which need to sell. Then the inequality equation will be

x + 87 ≤ 175

       x ≤ 175 - 87

       x ≤ 88

Thus, the correct option is A.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ2

Answer:

Here wacth this chico bon bon very good show

Step-by-step explanation:

its good

Answer:on my block

big mouth

Answer:

The second and third

Step-by-step explanation:

Answer:

6, 8, 11, 1, 7, 14, 10, and 10, 6, 9, 14, 1, 6, 12, 7

Step-by-step explanation:

Answer:

60 feet

Step-by-step explanation:

The shape of a billboard = Rectangle

Area of a rectangle = Length(Height) × Width

Area = 3420 square feet

Width = 57 feet

Height = Area of the billboard/Width

Height = 3420 ft²/57 ft

Height = 60 feet

Therefore, the height of the billboard is 60 feet

Answer:

1. cos70°. 2. cos57°

3. cos45°. 4. cos35°

5. cos30°

Step-by-step explanation:

sin20°≈0.342. 0.342≈cos70°

sin33°≈0.545. 0.545≈cos57°

sin45°≈0.707. 0.707≈cos45°

sin55°≈0.819. 0.819≈cos35°

sin60°≈0.866. 0.866≈cos30°

Answer:

im pretty sure its -1 because thats the answer i had before my answers didnt save n the same test you had. im not 100 percent sure though

Step-by-step explanation:

Answer:

It would be a vertical line over the x value 1. Domain would be 1 and range would be all real numbers.

Step-by-step explanation:

Since x=1 then all values of y would have their  x to be 1.

Answer:

i think it is one for all of it i have never seen a question like this sorry

Step-by-step explanation:

Answer:

her fee is $140 and she gets back $60

Step-by-step explanation:

step 1: multiply $20 by 7, which gives you 140

step too if you need how much money she gets back take 140 from 200 and you get $60

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Starting 3 feet from the motion detector, you will be at the point (0, 3) on the graph.

A normal walking speed is about 3 mph, or about 4.4 feet per second. So, walking slowly may be something less than 2 feet per second. In the attached graph, we show a walking speed of about 4 feet in 10 seconds, a really slow speed. Since you're walking away, the distance is increasing with time.

I hope this helps I don't know what method im sorry if it's wrong

Answer:

y intercept

Step-by-step explanation:

The [y-intercept] is the point where the line crosses the y-axis. Notice that the y-intercept occurs where x = 0, and the x-intercept occurs where y = 0.

Answer:

Y-intercept

Step-by-step explanation:

That is another name for it