Alice uses a table to record the number of black cars, b, that passed by her house in h hours.
b is directly proportional to h.

Answer:

23

Step-by-step explanation:

first off if your to take away 3 from 8 you'd get five and the same goes for the rest

I.e

8-3=5

13-8=5

18+5=23

as 23 -18 would give you you 5

[tex]2x^2 -5x-8 =0\\\\\implies x = \dfrac{ -(-5) \pm \sqrt{(-5)^2 - 4\cdot 2 \cdot (-8)}}{2 \cdot 2}\\\\\\\implies x = \dfrac{5 \pm \sqrt{89}}{4}\\\\\\\text{Hence}~ x = \dfrac{5 + \sqrt{89}}{4},~~ x = \dfrac{5 - \sqrt{89}}{4}[/tex]

Answer:

[tex]\sf \boxed{\sf x=\frac{5+\sqrt{89}}{4}}[/tex]

[tex]\sf \boxed{\sf x=\frac{5-\sqrt{89}}{4}}[/tex]

[tex]\sf 2x^2-5x-8=0[/tex]

☁ We'll solve this equation using The Quadratic Formula:

[tex]\boxed{\sf \cfrac{-b\pm \sqrt{b^2-4ac}}{2a}}[/tex]

A= 2, b= -5, c= -8

[tex]\sf x=\cfrac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\times \:2\left(-8\right)}}{2\times \:2}[/tex]

[tex]\mapsto \sf \sqrt{\left(-5\right)^2-4\times \:2\left(-8\right)}[/tex]

[tex]**\sf \left(-5\right)^2=5^2[/tex]

[tex]\mapsto \sf \sqrt{5^2+4\times \:2\times \:8}[/tex]

[tex]\mapsto \sf \sqrt{5^2+64}[/tex]

[tex]\mapsto \sf \sqrt{89}[/tex]

______________

[tex]\sf x=\cfrac{-\left(-5\right)\pm \sqrt{89}}{2\times \:2}[/tex]

☁ Now, we'll Separate solutions, first, we'll solve the equation when ± is plus:

[tex]\mapsto \sf \cfrac{-\left(-5\right)+\sqrt{89}}{2\times \:2}[/tex]

☁ Multiply 2*2 =4

[tex]\boxed{\sf \cfrac{5+\sqrt{89}}{4}}[/tex]

_________________

☁ Now solve the equation when ± is minus:

[tex]\mapsto \sf \cfrac{-\left(-5\right)-\sqrt{89}}{2\times \:2}[/tex]

☁  Multiply 2*2 =4

[tex]\boxed{\sf \cfrac{5-\sqrt{89}}{4}}[/tex]

[tex]\sf Solution \:1:\boxed{\sf x=\frac{5+\sqrt{89}}{4}}[/tex]

[tex]\sf Solution \:2:\boxed{\sf x=\frac{5-\sqrt{89}}{4}}[/tex]

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Answer:

It took eight hours to travel 520km

Step-by-step explanation:

Answer:

y = 138

Step-by-step explanation:

90 + 4x + 3x + 6 = 180

96 + 7x = 180

7x = 84

x = 12

———

3(12) + 6

36 + 6

42

———

180 - 42 = 138

Answer:

B. x = −1

Step-by-step explanation:

In the graph, the vertex of the parabola hits point (-1,-2). Therefore, the axis of symmetry is x = -1. It is not y = -2, since the parabola opens vertically, not horizontally.

Answer:

Step-by-step explanation:

put C=13,700 and find m

The number of miles that will yield an annual operating cost of $13,700 is approximately 30,000 miles.

To find the number of miles that will yield an annual operating cost of $13,700, we need to solve the given equation for \(m\):

\[C = 0.37m + 2600\]

Given \(C = 13700\), we can substitute this value into the equation and solve for \(m\):

\[13700 = 0.37m + 2600\]

Subtract 2600 from both sides:

\[11100 = 0.37m\]

Now, divide both sides by 0.37:

\[m = \frac{11100}{0.37}\]

Calculate the value of \(m\):

\[m \approx 30000\]

So, the number of miles that will yield an annual operating cost of $13,700 is approximately 30,000 miles.

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#SPJ3

Answer:

p = 11/8

Step-by-step explanation:

We are trying to find the slope, so use the slope formula

m = ( y2-y1)/(x2-x1)

  5/3  = ( -3 -p)/ ( p-4)

Using cross products

5(p-4) = 3(-3-p)

5p-20 = -9-3p

Add 3p to each side

5p+3p -20 = -9-3p+3p

8p-20 = -9

Add 20 to each side

8p-20+20 =-9+20

8p =11

Divide by 8

8p/8 = 11/8

p = 11/8

Answer:

the answer is D Because

Step-by-step explanation:

so I will say about $3.74

Answer:

16/21

Step-by-step explanation:

Option A

Option A -243

if any doubt leave a comment and don't forget to give BRAINLIEST

Answer:

The slope of a line perpendicular to a vertical line is zero.

Step-by-step explanation:

Answer:

i can help just meassage me

Step-by-step explanation:

ok thak u

Answer:

404 & 408

Step-by-step explanation:

Answer:

x + 6 is not a factor of f ( x ) = x³ - 3x² + 2x - 8 because when -6 is substituted into the function, the answer is not 0.

Step-by-step explanation:

→ Substitute x = -6 into f ( x )

( 6 )³ - 3 × ( 6 )² + ( 2 × 6) - 8

→ Simplify

216 - 108 + 12 - 8

→ Simplify further

112

Step-by-step explanation:

The equation has infinite solution p=2 that's tour variable

Answer:

inelastic is the answer

keep safe

Answer:

9,333333333333333 and 6 Km

Step-by-step explanation:

The width of a rectangle is 6 kilometers

less than twice its length. If its area is

56 square kilometers, find the

dimensions of the rectangle.

the area of ​​the rectangle is found by multiplying the width by the height, you have the area and the width, divide the area by the width and find the length

56 : 6 = 9,333333333333333 Km

-----------------------------

check

9,333333333333333 * 6 = 56

the answer is good

Answer:

Step-by-step explanation:

X = 1(1 - 0.02)ⁿ

X = 1(0.98)²⁰

X = 0.6676

67%

Using an exponential equation, it is found that 66.76% of the current amount will be present in 20 years.

A decaying exponential function has the following format:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

In this problem, breaks down at a rate of 2% a year, hence [tex]r = 0.02[/tex], and:

[tex]A(t) = A(0)(1 - 0.02)^t[/tex]

[tex]A(t) = A(0)(0.98)^t[/tex]

The fraction after 20 years is A(20), hence:

[tex]A(20) = A(0)(0.98)^{20}[/tex]

[tex]A(20) = 0.6676[/tex]

66.76% of the current amount will be present in 20 years.

A similar problem is given at https://brainly.com/question/14773454

Answer:

Step-by-step explanation:

x = 2

Check the picture below.

Answer:

7839 ...........

Answer:

(3, 9)

Step-by-step explanation:

Set 3x and 2x+3 equal to each other forming an equation in x.

3x=2x+3

Solve for x.

x=3

Substitute the given value of x into the equation y=3x.

y=3x3

Solve for y.

y=9

(x, y) = (3, 9)

Hope this helps :)

Answer:

   a. 6,8

Step-by-step explanation:

The only offered answer choice that lists consecutive even integers is ...

   a. 6,8

_____

Consecutive even integers differ by 2, not 4.

__

Check

The product is 6×8 = 48.

Three times the sum is 3(6+8) = 3(14) = 42.

The product is 6 more than 3 times the sum. 42+6 = 48

Answer:

- 162, 486, - 1458

Step-by-step explanation:

To find the next term in a geometric sequence , multiply the previous term by the common ratio r

r = [tex]\frac{T_{2} }{T_{1} }[/tex] = [tex]\frac{-18}{6}[/tex] = - 3 , then

T₄ = T₃ × - 3 = 54 × - 3 = - 162

T₅ = T₄ × - 3 = 486

T₆ = T₅ × - 3 = - 1458

Answer:

1) 5x+2=17

2) 5(2+x)=17

Step-by-step explanation:

1) subtract 2 from both of the sides, then you get 5x=15. Divide 5 on both sides, then you get X=3

2) Use distributive property and multiply 5 and 2 and you get 10, then do the same thing with the x. You should get 10+5x=17. Subtract 10 from both sides. Then you are left with 5x=17, divide 5 on both sides you should get x=7/5

Hope this helps!

Answer:

y = x + 1

Step-by-step explanation:

Slope: (1-2)/(0-1) = -1/-1 = 1

y-intercept: 1 - (-2)(0) = 1

y = x + 1

Answer:

17

Step-by-step explanation:

(3z - 1) when z = 6

Let's plug in 6 into the equation (3(6)-1)

Now we multiply the parenthesis (18-1)

Now we subtract (17)

So the answer is 17!

Answer:

-5/4 or -1 1/4

Step-by-step explanation:

Okay! We'll take this problem one part at a time so that the process is less confusing and less difficult. Here's what our expression looks like when we replace x with 3/2 and y with -5/4:

[tex]4(-\frac{5}{4} )(\frac{3}{2} +-\frac{5}{4} )[/tex]

Looks a little scary! We can start by working within the parentheses and adding the two fractions together. First, we have to make each fraction have the same denominator, so we can multiply each fraction by 3/2 to get both our fractions a denominator of 4.

[tex]\frac{3}{2} *\frac{2}{2} =\frac{6}{4}[/tex]

[tex]\frac{6}{4} + -\frac{5}{4} =\frac{1}{4}[/tex]

Now, our expression is a little easier to work with. It looks like this now:

[tex]4(-\frac{5}{4} )(\frac{1}{4})[/tex]

First, let's multiply 4 by -5/4. Then, we'll take that product and multiply it by 1/4 to get our final answer.

[tex]\frac{4}{1} * -\frac{5}{4} =-\frac{20}{4} =-5[/tex]

Alright, this is our simplest expression yet. What's -5 times 1/4?

[tex]-\frac{5}{1} * \frac{1}{4} =-\frac{5}{4}=-1\frac{1}{4}[/tex]

So our answer is -5/4, or -1 1/4. Hopefully that's helpful! :)