Answer:
C. f(5) = 13 and f(-3) = -3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
f(x) = 2x + 3
x = 5
x = -3
Step 2: Evaluate
x = 5
Substitute: f(5) = 2(5) + 3Multiply: f(5) = 10 + 3Add: f(5) = 13x = -3
Substitute: f(-3) = 2(-3) + 3Multiply: f(-3) = -6 + 3Add: f(-3) = -3We evaluate Separately.
Let x = 5
f(5) = 2(5) + 3
f(5) = 10 + 3
f(5) = 13
Now let x = -3.
f(-3) = 2(-3) + 3
f(-3) = -6 + 3
f(-3) = -3
Answer: Choice C
3. Roger runs 8 miles per hour. He ran for h
hours to run 6 miles.
Answer:
h=3/4
Step-by-step explanation:
6/8 can be simplified to 3/4.
Hope I helped! Please mark Brainliest!
Elle placed a bucket under a leaky roof. The bucket was 3/10 full after 2/5 of an hour. How much water is leaking per hour?
Answer:
The amount of water leaking per hour is 3/4 of the bucket volume
Step-by-step explanation:
The given parameters are;
The volume of water in the bucket = 3/10 of the bucket volume
The time duration of the leak = 2/5 hour
Therefore;
The leak rate = Volume/Time
The amount of water leaking per hour = (3/10 of the bucket volume)/(2/5 hour)
The leak rate = The amount of water leaking per hour = 3/4 of the bucket volume/hour.
The amount of water leaking per hour is [tex]\frac{3}{4}[/tex] of the bucket volume.
Given ;
The volume of water in the bucket = [tex]\frac{3}{10}[/tex] of the bucket volume
The time duration of the leak = [tex]\frac{2}{5}[/tex] hour
Therefore;
The leak rate = [tex]\frac{volume }{time}[/tex]
The amount of water leaking per hour = ( [tex]\frac{3}{10}[/tex] 0f the bucket volume)/([tex]\frac{2}{5}[/tex] hour)
= ( [tex]\frac{3}{10} . \frac{5}{2}[/tex] ) volume per hour
The leak rate = The amount of water leaking per hour = 3/4 of the bucket volume per hour.
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In the U.S. presidential election of 1864, Abraham Lincoln received 2,218,388 of the 4,031,887 votes. About
what fraction of the votes did Lincoln receive?
At a farm, four employees harvest 48 pounds of food over a certain number of hours. Each employee works the number of hours shown. (the hours for the employees are)
Employee A: 6 hours
Employee B: 4 hours
Employee C: 6
Employee D: 8 hours
Answer:
A=288, b=192, c=288, d=384.
Step-by-step explanation:
Each hour an employee harvests 48 pounds of food. So I simply multiplyed the hours by the food harvested.
Mr. Piper is driving Peter, Roddy, and Scott home from school.
How can he make a fair decision about who rides in the front seat?
Select all of the correct answers.
Answer:
A
Step-by-step explanation:
By using this method, each person has an equal chance of getting to sit in the front seat.
Put each person's name on a separate price of paper in a bag. Randomly draw the winning name.
Roll a number cube, If it lands on 1 or 2, Peter wins. If it lands on 3 or 4, Roddy wins, If it lands on 5 or 6, Scott wins.
What represents a fair decision?
A fair decision is one in which all three studnets have an equal chance of winnning. If each person's name is put in a bag, each person has a 1/3 chance of sitting in the front. If a number cube is rolled, the probability of each person sitting in the front is 1/3.
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I'm unsure how to solve this, if you can please respond asap. Thanks!
Answer:
82.5°
Step-by-step explanation:
This is the case of a isosceles triangle , as you may know in a isosceles triangle , there are two sides of equal length as well as two equal angles.
You know that the sum of angles in a triangle is 180°, therefore it comes to this equation :
15° + 2x = 180°
2x = 165°
x = 82.5°
therefore 82.5° is the correct answer.
Graph the inequality x>8
Answer:
Graph it as ○--->
The open circle because the answer is greater than 8 and we are going to the left because it is greater than.
Whats the equation of the line?
Answer: I believe it should be answer B
Step-by-step explanation: the x coordinate pairs with y and vice versa and if it’s positive you subtract is how I remember it.
15
Which one of the following numbers is not written in scientific notation?
A 0.1 x 103
B) 3.2 x 103
2.1 x 102
D 5 x 102
Answer:
A is the correct answer
Step-by-step explanation:
Select all the correct answers.
Alan needs to drive 400 miles to reach Madison. He is driving at a constant speed of 55 miles per hour. The function y = 400 − 55x represents Alan’s distance in miles from Madison in terms of the number of hours he drives. Andrew is also driving at a constant speed to reach Madison. The table represents Andrew’s distance in miles from Madison in terms of the number of hours he drives.
x y
1 323
3 209
Which statements about this situation are true?
PICK MORE THAN ONE ANSWER!!!
I REPEAT PICK MORE THAN ONE ANSWER!!!
Alan is driving at a faster speed.
Andrew is driving at a faster speed.
Alan and Andrew are driving at the same speed.
Alan was farther away from Madison when he started driving.
Andrew was farther away from Madison when he started driving.
Alan and Andrew started the same distance from Madison.
Answer:
Andrew is driving at a faster speed and they both started at the same place.
Problem: Express the following numbers in standard form:
(i) 0.0000000000085 (ii) 0.00000000000942 (iii) 6020000000000000
(iv) 0.00000000837
(v) 31860000000
Answer:
(i) 8.5 × 10^-12
(ii) 9.42 × 10^-12
(iii) 602 × 10^15
(iv) 8.37 × 10^-9
(v) 3.186 × 10^10
Step-by-step explanation:
(i) 0.0000000000085
= 0.0000000000085 × 10^12/10^12
= 8.5/10^12
= 8.5 × 10^-12
(ii) 0.00000000000942
= 0.00000000000942 × 10^12/10^12
= 9.42/10^12
= 9.42 × 10^-12
(iii) 6020000000000000
= 602 × 10^15
(iv) 0.00000000837
= 0.00000000837 × 10^9/10^9
= 8.37/10^9
= 8.37 × 10^-9
(v) 31860000000
= 3.186 × 10^10
-TheUnknownScientist
PLEASE HELP!!!!!!!!!!!!!!!!! Write the equation of the line perpendicular to y=3/4x+9/4 that passes through the point (-5, 2)
Answer:
y = -4/3x - 6
Step-by-step explanation:
1. Find the slope. Since we know that a line perpendicular to another is it's opposite reciprocal, or the product of the two is equal to -1, we can find the slope. -4/3 times 3/4 is -1, so -4/3 would be the slope of this line.
2. Plug in the point and slope into the slope-point equation. The equation would be y - 2 = -4/3 * (x + 6).
3. Simplify. The simplified equation would be y = -4/3x - 6.
Answer: y = -4/3x - 6
Susan runs 22 km in 2 hours and 45 minutes. What is her average speed in km an hour? Explain your answer please!
Answer:
22km= 2 hours and 45 mins
To find speed: Distance/Time
22/2.75 = 8
Your answer 8km/h
Step-by-step explanation: When finding speed, the formula is always distance divided by time. 45 minutes of 60 minutes is 3/4 of an hour, and 3/4 is 0.75 is decimal. So you add the 2 + .75, and you'll get 2.75. After you convert the time, you begin dividing and you'll get your answer!
Which of the following equations is written in vertex form?
Oy= 2x² + 3x – 8
Oy= 3 (x + 5) (x - 2)
O y= -2(x + 5)2 – 2 .
O y = 3x – 5
Need help please!!!
what is the five number summary for the data set 0,2,2,4,5,5,5,5,7,11
Answer:
The median/middle is 5 and the minimum is 0 and the maximum is 11. The first quartile is 7/5= 1.4 and the second is 4/2 = 2
Step-by-step explanation:
The five number summary for the data set 0,2,2,4,5,5,5,5,7,11 is as minimum value is 0, maximum value is 11, median is 5, first quartile is 2 and second quartile is 5.
What is the five number summary of data set?The five number summary for the data set provides the basic information of a data set. This consist of minimum value, maximum value, median, first quartile, and second quartile.
The provided data set is,
0,2,2,4,5,5,5,5,7,11
The data is arranged in the increasing order. The minimum value in this number is 0 while the maximum number is 11.
As the middle value of the data is 5. Thus, the median of this number is,
[tex]m=5[/tex]
The first quartile is the median in the lower half of the data. In this data lower half consist 0,2,2,4,5 which has the median or first quartile as,
[tex]Q_1=2[/tex]
Similarly, the second quartile is,
[tex]Q_1=5[/tex]
Thus, the five number summary for the data set 0,2,2,4,5,5,5,5,7,11 is as minimum value is 0, maximum value is 11, median is 5, first quartile is 2 and second quartile is 5.
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Solve. 2x(30+23) ≥ 86
Choose all expressions that have a sum or difference of 3/4
Answer:
B
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Answer: A,C & D
Step-by-step explanation:
positive + positive = positive
Negative + Negative = Negative
What is 4/4 divided by 20 divided by 60 equal
Answer:
The Product is 0.00083333333.
Step-by-step explanation:
Hope this helps! :)
The correct answer for the value of [tex](\dfrac{4}{4})[/tex] ÷ [tex]20[/tex] ÷ [tex]60[/tex] is 0.0008333.
Given expression:
[tex](\dfrac{4}{4})[/tex] ÷ [tex]20[/tex] ÷ [tex]60[/tex]
To solve the expression, follow the order of operations(BODMAS):
Parentheses/Brackets
Exponents/Orders
Multiplication and Division (from left to right)
Addition and Subtraction (from left to right)
In this case;
Divide and perform the operations from left to right:
[tex](\dfrac{4}{4})[/tex]
= 1 (because any number divided by itself is always 1)
[tex]\dfrac{1}{20}[/tex]
= 0.05
[tex]\dfrac{0.05}{60}[/tex]
= 0.0008333... (repeating decimal)
The final result is approximately 0.0008333.
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PLEASE ANSWER ASAP
what is the slope of any line that is parallel to the line y+3=5/7(×+2)?
A. 3
B. 5/7
C. 2
D. -5/7
B) 5/7
^That's the slope :)
Suppose the size of the tank in question 5 is doubled. Will
the average rate of change in gallons per minute change?
Explain your answer.
Answer:
No, it will not change
Step-by-step explanation:
Because the size of the tank is not a factor that can be used to find the rate of change. The rate of change will continue to be 30 gallons per minute.
The average rate of change of gallons per minute is 30 gallons per minute.
No, the average rate of change of gallons per minute will not change even if the size of the tank is doubled because the size of the tank is not used to find the average rate of change.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
From the graph,
Two coordinates to find the average rate of change in gallons per minute.
(1, 30) and (3, 90).
These coordinates represent a change in the amount of water in the given unit of time.
x-coordinates is the time.
y-coordinate is the amount of water.
Now,
The average rate of change of gallons per minute:
(1, 30) = (a, b) and (3, 90) = (c, d)
= d - b / c - a
= 90 - 30 / 3 - 1
= 60 / 2
= 30
Thus
The average rate of change of gallons per minute is 30 gallons per minute.
No, the average rate of change of gallons per minute will not change even if the size of the tank is doubled because the size of the tank is not used to find the average rate of change.
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What's the measurement of all the missing angles Sum of the angles inside a quadrilateral are 360 Isosceles triangles-ls opp congruent sides are congruent
Answer:
b
Step-by-step explanation:
j
The ratio of students to adults on a field trip is 8 to 1. Which table correctly shows this ratio for each grade?
Explain why. help please thank you!
Mike wants to put 150 square feet of artificial turf in his front yard. This is the maximum area
of artificial turf allowed by his homeowners association. He wants to have a rectangular area
of turf with length one foot less than 3 times the width. Find the length and width. Round to
the nearest tenth of a foot.
Answer:
Step-by-step explanation:
Area of the rectangular area = Length * width
A = LW ...... 1
If he wants to have a rectangular area of turf with length one foot less than 3 times the width, then
L = 3W - 1 ...... 2
Substitute 2 into 1
A = (2W-1)W
A = 2W^2 - W
Since area = 150sq.ft
150 = 2W^2 - W
2W^2 - W - 150 = 0
Factorize
2W^2 - W - 150 = 0
W = 1±√1+4(300)/2(2)
W = 1±√1201/2(2)
W = 1±34.655/4
W = 35.655/4
W = 8.91375
W = 8.9 (to nearest tenth)
Get the length
L = A/W
L = 150/8.9
L = 16.85
L = 16.6ft
Hence the length is 16.6ft and the width is 8.9ft
2a - 7 - 6a = 9
Pls help?
Step-by-step explanation:
2a - 7 - 6a = 9
- 4a - 7 = 9
- 4a = 16
a = -4
Factor x^2 + 9x + 14
Answer:
(x+2)(x+7)
Step-by-step explanation:
Factor out the expression and simplify if needed.
Answer:
(x+2)(x+7)
Step-by-step explanation:
what adds to 9: 2 and 7
what multiplies to 14: 2 and 7
Double bubble, put x in both of the bubbles, and positive 2 and 7, that is in factored form.
Please help it's four am and I really hate math
Answer:
A
Step-by-step explanation:
number books = n
2xn / 15
) A rectangles length is 4 more than 3 times its width.
Its perimeter is 152. Find the length and width.
Answer:
no entiendo nada
Step-by-step explanation:
Let the width of the rectangle be 'w'
According to the question length of the rectangle (l) is 4 more than 3 times it's width;
[tex] \longrightarrow [/tex] l = 3w + 4
Perimeter of rectangle = 152
Formula of perimeter of rectangle = 2(Length + Width)
So,
[tex]\rm \implies 2(Length + Width) = 152 \\ \\ \rm \implies 2(3w + 4+ w) = 152 \\ \\ \rm \implies 2(4w + 4) = 152 \\ \\ \rm \implies 2 \times 4(w + 1) = 152 \\ \\ \rm \implies 8(w + 1) = 152 \\ \\ \rm \implies w + 1 = \dfrac{152}{8} \\ \\ \rm \implies w + 1 = 19 \\ \\ \rm \implies w = 19 - 1 \\ \\ \rm \implies w = 18[/tex]
[tex] \therefore [/tex] Width of the rectangle (w) = 18
Length of rectangle (l) = 3 × 18 + 4 = 58
If you subtract 16 from my number and multiply the difference by -3, the result is -39 what is my number
Answer:
29
Step-by-step explanation:
Start with -39. We need to do inverse operations to figure out the solution. -39 divided by -3 is 13, and 13 plus 16 is 29.
Answer:
29
Step-by-step explanation:
-39=-3(n-16)
13=n-16
29=n
how to figure out how many solutions 7y+13=5y-3
Answer:
7y+13=5y-3
7y=5y-16
2y=-16
Y=-8
Step-by-step explanation:
Answer: yes
Step-by-step explanation:
You collect like times together.
7 y + 13 = 5 y - 3
7 y - 5 y = - 3 - 13
2 y = - 16
2 y / 2 = - 16 / 2
y = - 8
2. Find the value of x.
17x - 3
17X-13-ax+3
9x + 13
Based on the HL congruence rule, the value of x, is calculated as:
x = 2.
How to Find the Value of x in the Triangle Using the HL congruence theorem?Both triangles that share the same side and have corresponding angle 90 degrees and a pair of corresponding congruent hypotenuse are congruent to each other based on the HL congruence theorem.
This means that:
17x - 3 = 9x + 13
Solve for the value of x:
17x - 9x = 3 + 13
8x = 16
Divide both sides by 8:
8x/8 = 16/8
x = 2
The value of x is: 2.
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