Unit 1C Quiz
3 of 83 of 8 Items




Question
An Uber driver charges a flat fee of $5.50, plus $1.50 per mile. Which of the following equations represents the total cost y of a ride that is x miles long.


a. y=1.5+5.5
b. y=4x
c. y=5.5x +1.5
d. y=7x

Answer:

Step-by-step explanation:

x^2 = 5x + 24                                Transfer (subtract) 5x + 24 to the left.

x^2 - 5x - 24 = 5x-5x+24  -24

x^2 - 5x - 24 = 0                            This does factor. -8 and 3  are your factors.

(x - 8)*(x + 3) = 0

So if x - 8 = 0

then x - 8 + 8 = 0 + 8

x = 8

If x + 3 = 0

then x = - 3

Are these both correct?

x^2 = 5x + 24

x = 8

8^2 = 5*8 + 24

64 = 40 + 24

64 = 64

and x - 8 is a factor

x^2 = 5x + 24

x = - 3

(-3)^2 = 5 * -3 + 24

9 = -15 + 24

9 = 9

And x + 3 is a correct factor

Answer:

The answer is B, f(x)=5(2/5)^(z)

Step-by-step explanation:

I did the graphs for all of them and graph B was identical to the one in the picture.

Answer:

  (b)  f(x) = 5(2/5)^x

Step-by-step explanation:

All of the offered choices agree that the multiplier of the exponential factor is 5. When x=1, the exponential factor must have a value of 2/5 in order to make the function value be 2 at that point.

That is, ...

  f(1) = 5(2/5)^1 = 5(2/5) = 2

You can get there either by using x=1 in each of the offered answer choices, or by observing that the ratio between f(1) and f(0) is 2/5.

  f(x) = 5(2/5)^x

Answer:

12.292 or 1.708

Step-by-step explanation:

1#60 -  (2 • (x + 7)2 +  4)  = 0

2#   -2x2 - 28x - 42  =   -2 • (x2 + 14x + 21)

3#x2 + 14x + 21 =  -2 • (x2 + 14x + 21)  = 0

[tex]\\ \sf\longmapsto -60=2(h+7)^2+4[/tex]

[tex]\\ \sf\longmapsto 2(h^2+14h+49)=-64[/tex]

[tex]\\ \sf\longmapsto h^2+14h+49=-66[/tex]

[tex]\\ \sf\longmapsto h^2+14h+115=0[/tex]

Answer:

length = 7

pls mark me the brainliest

Step-by-step explanation:

A = Lw

35 = x (x -2)

35 = x2 - 2x

x2 -2x -35 = 0

(x-7)(x+5) = 0  

x-7=0

x=7       (we won't use the other factor since it would give us a negative length

so length = 7

Answer:

aww i help u.....

Step-by-step explanation:

my answer is letter ~~B CAUSE STUDEN BIS CONDYCTION LIKR FREE AT THE SCORED

Answer:

ax+ab-c=0, 12

Step-by-step explanation:

If x=1, then 4(x-7)=20

4x-28=20

add 28 on both sides

48/4=x

x=12

Answer:

this is my answer

Step-by-step explanation:

4(x-7)=20. divide both sides

x-7=5 move the constant to the right

x=5+7. calculate

so the answer is x=12

I hope it helps

Answer:12 and 12 hope this helps :)

Step-by-step explanation:

Answer:

mark her brialyist i cant spell lol

Step-by-step explanation:

Answer:

The constant of proportionality is thus 1

Step-by-step explanation:

Note that the green line passes through (6, 6) and has a y-intercept of 0.  Thus, the equation of the line is y = (6/6)x + 0, or y = x, or y = 1x.

The constant of proportionality is thus 1, which is also the slope of this line.

Answer:

I’d go with number 2 and number 4.

Answer:

No solution

Step-by-step explanation:

Create an equation with the values given. Solve like an algebraic question.

11 > 3*x = 75> -1*x

3*x and -1*x should lead to a value greater than 11.

Since there is no value that can be multiplied by a negative and be a positive, besides negative numbers, in which the term of 11>3*x wouldn't be positive, this would have no solution.

No solution.

17 minutes

hope this helps!

Answer:

64/24

32/12

16/6

8/3

8:3

Hope This Helps!!!

Answer:

B (0,0)

Step-by-step explanation:

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept y=mx+b. Using the slope-intercept form, the y-intercept is 0. b=0

The y-intercept of y=4x is (0, 0)

Option B is correct

The slope-intercept of a line is given as:

y = mx + c

where m represents the slope

c represents the y-intercept

The given equation is y = 4x

To find the y-intercept, substitute x = 0 into the equation and solve for y

y = 4(0)

y = 0

Therefore the y-intercept of y=4x is (0, 0)

Learn more on y-intercept of a line here: https://brainly.com/question/10700419

Answer:

36.75 square feet

Step-by-step explanation:

First, we can divide 73.5 into 6 to calculate area for each section. We get the answer of 12.25. Next, it says that the garden is 3x2 sections, so we multiply 12.25 by 3 to get a total of 36.75

The Julia wants to make a vegetable garden in her backyard length of the vegetable garden is 10.5 feet.

The garden is divided into 6 sections.

The dimensions of the garden are 3 sections long by 2 sections wide.

Each section is in the shape of a square.

The area of the vegetable garden is 73.5 square feet.

Let's denote the side length of each square section as "s". Since there are 6 sections, the area of the vegetable garden can be calculated as:

Total Area = Number of Sections × Area of One Section

73.5 = 6 × s²

Now, solve for the side length "s":

s² = 73.5 / 6

s² = 12.25

Taking the square root of both sides:

s = √12.25

s = 3.5 feet

Since each section is a square and has a side length of 3.5 feet, the dimensions of the garden are 3 sections long by 2 sections wide, which translates to:

Length = 3.5 feet/section ×3 sections = 10.5 feet

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Answer:

The slope would be 5/2.

Step-by-step explanation:

Use the formula Y=mx+b. m always represents the slope and the b is the intercept. Therefore the slope of this would be 5/2.

Answer:

21

Step-by-step explanation:

5(21)-12=93

3(21)+30=93

PQRSTU is definitely divisible by 4.

Since Sonal and Gaurav have 2 numbers written on a piece of paper, and Sonal's number PQR is divisible by 3 and 4, while Gaurav's number STU is divisible by 2 and 9, and the two numbers are joined to form a new 6- digit number PQRSTU, to determine the number by which the number PQRSTU is definitely divisible by, the following logical reasoning must be performed:

Since the numbers are not added mathematically, but joined numerically, and that STU is the last number in the row, and that it is divisible by 3 and 4, while only 4 is among the options, the number PQRSTU is definitely divisible by 4.

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Answer:

80%

Step-by-step explanation:

20:25*100 =

(20*100):25 =

2000:25 = 80

Now we have: 20 is what percent of 25 = 80

Question: 20 is what percent of 25?

Percentage solution with steps:

Step 1: We make the assumption that 25 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $100\%=25$.

Step 4: In the same vein, $x\%=20$.

Step 5: This gives us a pair of simple equations:

$100\%=25(1)$.

$x\%=20(2)$.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{25}{20}$

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{20}{25}$

$\Rightarrow x=80\%$

Therefore, $20$ is $80\%$ of $25$.

Hopes This Helps :)

The value of the length x in a given triangle by using the trigonometry formula would be 9.6 units.

Given that,

A triangle UVW is shown in the image with sides and angles,

vw = 6.4

uv = x

And, ∠wuv = 42°

Used the trigonometry formula which states that,

[tex]\text{ sin x} = \dfrac{\text{ Opposite}}{\text{ Hypotenuse}}[/tex]

Here, we have;

An angle ∠wuv = 42°.

So, we get;

[tex]\text{ sin 42} = \dfrac{\text{ vw}}{\text{ uv}}[/tex]

Substitute given values,

[tex]\text{ sin 42} = \dfrac{\text{ 6.4}}{\text{ x}}[/tex]

Since, sin (42°) = 0.67

Hence,

[tex]0.67 = \dfrac{6.4}{x}[/tex]

Multiply by x on both sides,

[tex]0.67 \times x = 6.4[/tex]

Divide both sides by 0.67, we get;

[tex]x = \dfrac{6.4}{0.67}[/tex]

[tex]x = 9.55[/tex]

Round to the nearest tenth,

[tex]x = 9.6[/tex]

So, the value of x is 9.6 units.

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It will be cheaper to use Savings Rent-A-Car up to 1000 kilometers, from then on it will be cheaper to use Airport Rent-a-Car.

Given that if one rents a car from Airport Rent-a-Car, the charge is $ 79 plus 7 cents a kilometer, while Savings Rent-A-Car charges $ 59 plus 9 cents a kilometer, to determine, if one will drive D kilometers , when it is cheaper to use Savings Rent-A-Car, the following calculation must be performed:

Therefore, it will be cheaper to use Savings Rent-A-Car up to 1000 kilometers, from then on it will be cheaper to use Airport Rent-a-Car.

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Answer:

60°

Step-by-step explanation:

180° in a triangle.

180° ÷ 3 = 60°

The measure of each of the given angles of a triangle is 60°.

Given is that all three angles of a triangle are congruent.

Consider a triangle ΔABC. Since the angles of the triangle are congruent, we can say that -

∠A = ∠B = ∠C = X°

and also we can write -

X° + X° + X° = 180°

3X° = 180°

X° = 60°

Therefore, the measure of each of the given angles of a triangle is 60°.

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[tex]3 + \sqrt{ - 12} \\ = 3 + \sqrt{ 2 \times 2 \times - 3} \\ = 3 + 2 \sqrt{ - 3} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

[tex]\\ \sf\longmapsto 3+√-12[/tex]

[tex]\\ \sf\longmapsto 3+√12i[/tex]

[tex]\\ \sf\longmapsto 3+√2(2)(3)i[/tex]

[tex]\\ \sf\longmapsto 3+2√3i[/tex]

Answer:

Step-by-step explanation:

Box

Area of the box

Area = s^2

s = 12 inches

Area = 12^2

Area = 144

Pizza

Area = pi r^2

Area = 3.14 * 5^2

Area = 25 * 3.14

Area = 78.5

Difference = 144 - 78.5

Difference = 65.5

Answer:

(7−2)(3)(24−11)

=(5)(3)(24−11)

=15(24−11)

=(15)(13)

=195

Step-by-step explanation:

Answer:

70, 110, 70, 110

Step-by-step explanation:

If one angle is 70 degrees, the opposite angle is also 70 degrees.  The 4 angles add to 360, 360 - 140 = 220. The 220 degrees are split 2 ways for the 2 angles, so they are each 110 degrees.

Answer:

0

I hope this is the correct answer

Answer: Slope = 0, y-intercept = 3

Step-by-step explanation:

The inequality is a horizontal line, where everything below 3 is agrees with the inequality

The slope of any flat line is 0, and the y-intercept is always the constant (y=mx+b) in slope-intercept form, in this case it is 3

Answer:

i think probably 20

Step-by-step explanation:

if 200 students, students do not prefer math 10/100 × 200 = 20