Carey correctly graphs a linear function. The slope of the function is –1. The y-intercept is 3. Which is Carey’s graph?
Answers
Answer:
The linear function is [tex]y=-x+3[/tex]. The graph of function is given below.
Step-by-step explanation:
The slope intercept form of a linear function is
[tex]y=mx+b[/tex]
Where, m is slope and b is y-intercept.
Since the slope is -1 and the y-intercept is 3, therefore the linear function is,
[tex]y=-x+3[/tex]
put y=0, to find x-intercept.
[tex]0=-x+3[/tex]
[tex]x=3[/tex]
Therefore the line intersect the y-axis at y=3, x-intercept is x=3 and the as the value of x increases the value of y decreases.
The graph of the linear function [tex]y=-x+3[/tex] is given below.
The first graph.
It's right on edge
Related Questions
After m months, the height of a plant is 10+3m millimeters. How tall is the plant after 8 months? 3 years?
Answers
After 8 months, the plant is 34 millimeters tall, and after 3 years (36 months), it's 118 millimeters tall.
To find the height of the plant after 8 months and 3 years, let's first understand the pattern. The height is given by the equation ( 10 + 3m ), where ( m ) represents the number of months.
Height after 8 months:
Substituting ( m = 8 ) into the equation:
[tex]\( \text{Height} = 10 + 3(8) \)[/tex]
[tex]\( \text{Height} = 10 + 24 \)[/tex]
[tex]\( \text{Height} = 34 \)[/tex] millimeters.
Height after 3 years (36 months):
Substituting ( m = 36 ) into the equation:
[tex]\( \text{Height} = 10 + 3(36) \)[/tex]
[tex]\( \text{Height} = 10 + 108 \)[/tex]
[tex]\( \text{Height} = 118 \)[/tex] millimeters.
So, after 8 months, the plant is 34 millimeters tall, and after 3 years (36 months), it's 118 millimeters tall.
during a football game, kevin gained 5 yards on the first play. then he lost 7 yards on the second play. how many yard does kevin need on the next play to get the team back to where when they started? show your work.
Answers
So to get back to 5 you need to first make the number positive so you will need to gain 2 points first making it equal . So then you need to get 5 more points to make it 5 .
So to sum it up I made the number positive when doing that your making it zero so then all you have to do is add the option Reginald number back in so here's my work
5-7= -2 -2 + 2= 0 0+5=5
Ps please rate me if u can
Eleanor can drive an average of 374 miles on one tank of gas. How many miles can she drive on 15 tanks of gas?
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State whether each percent of change is a percent increase or a percent decrease. Then find the percent of increase or decrease . Round to the nearest whole percent
Original : $100
New : $59
Answers
percent change= (new-old)/old *100
= -41 % the negative means decreasing
A pronghorn antelope can travel 105 miles in 3 hours if it continues traveling at the same speed, how far could it travel in 11 hours?
Answers
you find average speed with distance/time
average speed is 35 mph
if you multiply is by 11 you get your answer which is 385 miles
Mr. Venn knows that 60% of his students will score no more than 5 points above or below the class average,75% on the test.
Write an inequality that represents the test scores of 60% of his students?
Answers
Answer:
[tex]70\leq x\leq 80[/tex]
Step-by-step explanation:
Let x represent the test scores of 60% of his students.
We have been given that Mr. Venn knows that 60% of his students will score no more than 5 points above or below the class average,75% on the test.
We will use tolerance formula to solve our given problem.
[tex]|\text{Actual}-\text{Ideal}|\leq\text{Tolerance}[/tex]
[tex]|x-75|\leq5[/tex]
Using rule [tex]|u|\leq a[/tex], then [tex]-a\leq u\leq a[/tex], we will get:
[tex]-5\leq x-75\leq5[/tex]
[tex]-5+75\leq x-75+75\leq5+75[/tex]
[tex]70\leq x\leq 80[/tex]
Therefore, the inequality [tex]70\leq x\leq 80[/tex] represents the test scores of 60% of Mr. Venn's students.
Tia kayaked 2400 meters at a constant rate in 1.5 hours on Saturday. On Sunday, she kayaked 200 meters per hour faster. What was Tia’s average rate on Sunday? A. 1600 meters per hour B. 1800 meters per hour C. 2000 meters per hour D. 2200 meters per hour
A.
3
B.
5
C.
15
D.
30
Answers
Sunday rate =1800
Answer:
1800
Step-by-step explanation:
Please help, need as soon as possible
Answers
(-3.1-(-6.2))=3.1, but -1.55-3.1 is not 3.1, showing that that is not arithmetic. For the last one, 3-(-3)=6, 9-3=6, etc. proving that you add 6 every time and the sequence is therefore arithmetic.
Find the GCF of 22ab 2 c 2 and 40a 3 c 2.
4a 3b 2c 2
2ab 2c 2
4ac 2
2ac 2
Answers
The Greatest Common Factor of 22ab2c2 and 40a3c2 is 2ac2, found by identifying the highest power of each variable and number that divides the coefficients 22 and 40.
Explanation:When finding the Greatest Common Factor (GCF) we need to look for the highest power of each variable and number that appears in all the terms. In the terms 22ab2c2 and 40a3c2, the GCF will consists of the highest power of each variable found in both terms, and the highest number that divides both 22 and 40.
To find the GCF you need to divide both 22 and 40 by common factor. The highest number that divides 22 and 40 is 2. For the variables, the lowest power of 'a' and 'c' in both terms is a and c2, respectively. 'b' is not in both terms, so we omit it. So, the GCF of 22ab2c2 and 40a3c2 is 2ac2.
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use the subtraction property of equality to complete the following statement if RS + St = RT then RS =
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RS = RT - ST
Just you know one value you so make a problem with subtraction equal it.
what is the measure of jl
Answers
A. 64
32 is the measure of JKL. By multiplying 32 by 2 you will get 64 which is the measure of JL
What's the distributive property for 16+48
Answers
so with 16 + 48, to show the distributive property, you could divide by any common factor of 16 and 48. some correct ways to do this are:
16 + 48 = 2(8 + 24)
16 + 48 = 4(4 + 12)
16 + 48 = 8(2 + 6)
16 + 48 = 16(1 + 3)
you're just dividing 16 and 48 by the outside term to get the 2 numbers in the ( )
plz help!
The line segment is reflected about the y-axis to form A'B'. Which statement describes A'B'?
A'B' is half the length of AB.
A'B' and AB are equal in length.
A'B' is greater than twice the length of AB.
A'B' and AB are perpendicular.
Answers
4/9x+1/5x=87 what is x
Answers
20/45x + 9/45x = 87
Combine like terms.
29/ 45x = 87
Multiply both sides by 45/29
x = 3,915 / 29
x = 135
Hope this helps!
Answer:
The value of x is 135.
Step-by-step explanation:
Given : Expression [tex]\frac{4}{9}x+\frac{1}{5}x=87[/tex]
To find : What is the value of x?
Solution :
Expression [tex]\frac{4}{9}x+\frac{1}{5}x=87[/tex]
Take LCM,
[tex]\frac{4x\times 5+x\times 9}{9\times 5}=87[/tex]
[tex]\frac{20x+9x}{45}=87[/tex]
[tex]\frac{29x}{45}=87[/tex]
[tex]x=\frac{87\times 45}{29}[/tex]
[tex]x=135[/tex]
Therefore, The value of x is 135.
What could be the intersection of plane PRS and plane QRS?
A.
RS
←
→
B.
PR
←
→
C.
QS
←
→
D.
The planes need not intersect.
Answers
A movie theater has 24 screens. The ratio of action films to other film is 1:2 in the summer. How many action films are shown?
Answers
Answer:
8 action films being shown
Step-by-step explanation:
Great question, it is always good to ask away and get rid of any doubts that you may be having.
Based on this question we can see that the movie theater has 1 action movie for every 2 other type of movies. We can add these two numbers together and divide by 24 to find out how many action movies are playing compared to the other types of movies.
[tex]1 + 2 = 3[/tex]
[tex]24 / 3 = 8[/tex]
8 action movies : 16 other type of movies
As we can see from the adjusted ratio above, there are 8 action films being shown
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
4. An angle of 200° is a/an _______ angle.
Answers
Angles under 90° are called acute angles
Angles that are 90° are called right angles
Angles that are between 90° and 180° are called obtuse angles
Angles that are 180° are called straight angles
Angles that are between 180° and 360° are called reflex angles.
An angle of 200° is a/an reflex angle.
Hope This Helps You!
Good Luck :)
- Hannah ❤
thanks hope this helps
which is an estimate of square root of 15 to one decimal place?
Answers
Help what does this mean
Best answer I will mark as brainliest
Answers
I hope this helps!
a sporting goods manufacturer requires 3/8yd of fabric to make a pair of soccer shorts. how many shorts can be made from 9yds of fabric
Answers
the parabola y=x^2 is shifted up by 4 units
Answers
[tex]f(x) = x ^{2} + 4[/tex]
By rigid transformations, the image of the parabola y = x² is equal to parabola y = x² + 4.
How to determine the image of a parabola
In this problem, we need to determine the image of a parabola by means of a rigid transformation known as vertical translation:
y = f(x) → y = f(x) + k, where k represents a translation upwards and f(x) is the original function.
If we know that f(x) = x² and k = 4, then the image of the function is:
f(x) = x² + 4
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How many 4-digit numbers can you write if you cannot use any other digits except 0, 1, and 2?
Answers
There are 54 possible 4-digit numbers that can be created using only the digits 0, 1, and 2, considering that the first digit cannot be 0 and each position has a limited selection of digits.
Explanation:To determine the number of 4-digit numbers that can be written using only the digits 0, 1, and 2, we must take into account that a 4-digit number cannot start with 0, which leaves us two choices for the first digit (either 1 or 2). For the subsequent three digits, we have three choices each (0, 1, or 2). Therefore, the total number of 4-digit combinations is obtained by multiplying the number of choices for each digit's position.
The explanation you provided is correct, and the calculation is accurate. There are indeed 54 possible 4-digit numbers that can be created using only the digits 0, 1, and 2, considering the given conditions.
To summarize:
- The first digit has 2 possible choices (1 or 2).
- Each of the next three digits has 3 choices (0, 1, or 2).
So, the total number of 4-digit combinations is obtained by multiplying the number of choices for each digit's position:
\[2 \times 3 \times 3 \times 3 = 54.\]
Therefore, there are 54 possible 4-digit numbers that can be created following the given conditions.
The first digit has 2 possible choices, and each of the other three positions has 3 choices, which gives us a total of:
2 × 3 × 3 × 3 = 54 possible 4-digit numbers using the digits 0, 1, and 2.
A $1, $5, $10, $20, $50, or $100 bill is mapped to all the sets of coins that are the same as the total value of the bill.
IS THIS SITUATION A FUNCTION OR NOT???
Answers
SIMPLE QUESTION PLEASE HELP :(
Solve for all roots of the equation. Show all work for full credit. x3 + 216 = 0
Answers
1.1 Factoring: x3-216
Theory:
A difference of two perfect cubes, a3 - b3 can be factored into
(a-b) • (a2 +ab +b2)
Proof : (a-b)•(a2+ab+b2) =
a3+a2b+ab2-ba2-b2a-b3 =
a3+(a2b-ba2)+(ab2-b2a)-b3 =
a3+0+0+b3 =
a3+b3
Check: 216 is the cube of 6
Check: x3 is the cube of x1
The solution to the equation x³ + 216 = 0 is x = -6, by subtracting 216 from both sides and taking the cube root.
Explanation:To solve the equation x³ + 216 = 0, you must first isolate the variable on one side of the equation. To do this, we can subtract 216 from both sides, giving us the equation x³ = -216.
Next, to solve for x, we need to take the cube root of -216. The cube root of -216 is -6, so x = -6 is the root of the equation.
In conclusion, the solution to the equation x³ + 216 = 0 is x = -6.
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Help me please I need better grades
Answers
_______________________________________________________
Question 1: The answer is: " [tex] \frac{1}{6}[/tex] " .
_______________________________________________________
Question 2: The answer is: " -12.8 ".
_______________________________________________________
Question 3: The answer is: " 12.3 " .
_______________________________________________________
Explanation:
_______________________________________________________
Question 1:
_______________________________________________________
(-4/3) − (-3/2) = [tex] \frac{-4}{ 3} [/tex] + [tex] \frac{3}{2}[/tex] ;
→ The least common multiple (LCM) of the numbers "2" and "3" (which are the numbers in the denominators) is: "6" ; so we can convert each fraction value to the equivalent fraction with a denominator of "6" ;
→ [tex] \frac{-4}{3} [/tex] = [tex] \frac{?}{6} [/tex] ;
→ What value is the "?" ? ; → Look at the denominators.
→ (3 * ? = 6); → (6÷3 = 2).
→So; [tex] \frac{-4}{3} [/tex] = [tex] \frac{-4*2}{3*2} [/tex] ;
= [tex] \frac{-8}{ 6} [/tex] ;
_______________________________________________________
→ Now; → [tex] \frac{3}{2} [/tex] = [tex] \frac{?}{6} [/tex] ;
→ What value is the "?" ? ; → Look at the denominators.
→ (2 * ? = 6); → (6÷2 = 3).
→So; [tex] \frac{3}{2} [/tex] = [tex] \frac{3*3}{ 2*3} [/tex] ;
= [tex] \frac{9}{6} [/tex] ;
_______________________________________________________
Now, we can rewrite the problem:
________________________________
→ [tex] \frac{-8}{ 6} [/tex] + [tex] \frac{9}{ 6} [/tex] ;
= [tex] \frac{-8+9}{6}[/tex] ;
= [tex]\frac{1}{6} [/tex] .
_______________________________________________________
Question 2:
_______________________________________________________
" -3.9 − 8.9 " = - (3.9 + 8.9) = - 12.8 .
_______________________________________________________
Question 3:
_______________________________________________________
" 2.9 − (-9.4) " = 2.9 + 9.4 = 12.3 .
Note: Subtracting a negative number is "adding a positive number".
_______________________________________________________
0.12 or 1.2% which is greater
Answers
0.12% isn’t a full percent, the decimal determines the greatness of the two
1.2% is the larger number
1.2% is the greater percentage than 0.12
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
We need to find 0.12 or 1.2% which is greater
0.12 isn’t a full percent, the decimal determines the greatness of the two number.
1.2% is the larger number.
1.2% = 1.2/100
= 0.012
Therefore, 1.2% is the greater percentage than 0.12
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There are 5 flower gardens in front of the building where Eddie works. Eddie has 40 red and 80 white flowering plants to put in the gardens. How many plants will be in each garden, if he plants the same number in each?
Answers
120 / 5 = 24
24 plants will be in each garden.
How do you write 81/50 as a percentage?
Answers
1.62x100=162
=162%
hope this helps
si tenemos que tenemos una escala de 1 a 100%
A customer has six (6) $1 bills, three (3) $5 bills, four (4) $10 bills, seven (7) quarters, ten (10) dimes, seven (7) nickels, and nine (9) pennies. The customer buys a pair of shoes for $49.86. Based on the combination of bills and coins the customer has, what are the least number of bills and coins the customer can give the cashier in order to buy the shoes for the exact amount and not require any change back?
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The ratio of boys to girls in the school chorus is 3:2. If there are 39 boys in the chorus, how many girls are in the chorus?
A) 36 girls
B) 26 girls
C) 24 girls
D)58 girls
Answers
Answer:
The answer is 36 girls because 3:2 is 13x3 which equals 39 and 12x3=36. The ratio is 39 boys to 36 girls.
Not 26 girls.