Answer:
The rule for the linear function will be:
f(x) = -2x+1
Step-by-step explanation:
We know that linear function can be represented using the slope-intercept formula
y = mx+b
where m is the slope and b is the y-intercept
Given the function is linear as shown in the attached graph
Taking two points
(0, 1)(1, -1)Finding the slope between (0, 1) and (1, -1)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [-1 - 1] / [1 - 0]
= -2 / 1
= -2
Thus, the slope of the line = m = -2
We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 1
Thus, the y-intercept b = 1
Now, substituting m = -2 and b = 1 in the slope-intercept form of linear function
y = mx+b
y = (-2)x + 1 ∵ m = -2, b = 1
y = -2x+1
f(x) = -2x+1
Therefore, the rule for the linear function will be:
f(x) = -2x+1
You have decided to purchase a car for $22,346.16. The credit union requires a 10% down payment and will finance the
balance with a 5.4% annual interest loan for 36 months. The sales tax in your city is 7.6%, and the license and title
charges are $125.13. Determine the amount that the credit union will finance you for. Round your answer to the nearest
cent.
a $24,179.10
c. $21,761.20
b. $24,169.60
d. $21,752.64
Answer:
(b) [tex]\$24,169.60[/tex]
Step-by-step explanation:
Given: Cost of car is [tex]\$22,346.16[/tex]
Sales tax is [tex]7.6\%[/tex]
The license and title charges are [tex]\$125.13[/tex]
To find: The amount that the credit union will finance.
Solution:
We have,
Cost of car[tex]=\$22,346.16[/tex]
Sales tax is [tex]7.6\%[/tex] of [tex]\$22,346.16[/tex]
Therefore,
sales tax [tex]=\frac{7.6}{100}\times22,346.16=\$1698.31[/tex]
The license and title charges [tex]=\$125.13[/tex]
Now, the amount that the credit union will finance is
cost of car[tex]+[/tex]sales tax[tex]+[/tex]the license and title charges
[tex]=\$22346.16+\$1698.31+\$125.13[/tex]
[tex]=\$24,169.60[/tex]
Hence, the amount that the credit union will finance is [tex]\$24,169.60[/tex].
So, (b) [tex]\$24,169.60[/tex] is correct.
Answer:
b.
$24,169.60
Step-by-step explanation:
hope it helps :)
Which of the following is true?
xy–y–x+1 = (1+x) (1–y)
xy–y–x+1 = (x–1) (y–1)
xy–y–x+1 = (1–x) (y–1)
xy–y–x+1 = (x–1) (1–y)
plz fast
Answer:
The second one
Step-by-step explanation:
PLEASE SOLVE FOR BOTH THE STARS AND SQUARES! BRAINLIEST AND 5 STARS! URGENT
Answer:
1 to 2
1:2
1/2
Step-by-step explanation:
Answer:
Ze anser is 1:3 (づ。◕‿‿◕。)づ
Step-by-step explanation:
find the equation of the line shown;
Answer: Assuming it means slope-intercept, the answer would be y=-2x+9
y = -2x + 9 is the equation of the line given in the graph.
What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Given a graph of the line, Where we can see that the line passes through the coordinates (0, 9) and (1, 7)
From the slope-intercept formula of a line:
y = mx +c
Where m is the slope
And c is the value of y at x =0
Thus in our case,
c = 9
and slope m = (y - y )/(x - x)
m = (7-9)/(1-0)
m = -2
so, the equation of the line:
y = -2x + 9
Therefore, the equation of the line in the given Graph is y = -2x + 9.
Learn more about Linear equations here:
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Three years ago Alicia was twice as old as her brother Carlos. In two more years Alicia will be just 50% older than Carlos. How old is Alicia today?
Answer:
13 yearsStep-by-step explanation:
Let the present age of Alicia be x
Let the present age of her brother be y
Three years ago;
Alicia age = x - 3
Her brother's age = y - 3
If three years ago Alicia was twice as old as her brother Carlos, then;
X - 3 = 2(Y-3)
x-3 = 2y - 6
x = 2y - 3 ...1
In two years time;
Alicias age = x+2
Her brother's age = y +2
If in two more years Alicia will be just 50% older than Carlos, then;
x+2 = y + 2 + (0.5(y+2))
x+2 = y+2 + 0.5y + 1
x+2 = 1.5y+3
x = 1.5y + 1 ...2
Equating 1 and 2;
2y - 3 = 1.5y + 1
2y - 1.5y = 1+3
0.5y = 4
y = 4/0.5
y = 8
Since x = 2y-3
x = 2(8) - 3
x = 16-3
x = 13
Hence Alicia will be 13 years old today
Start at 7:30pm
add 46 minutes
add 20 minutes
add 53 minutes
Answer:
Start at 7:30pm
add 46 minutes = 8:16 Pm
add 20 minutes = 7:50 Pm
add 53 minutes = 8:23 Pm
Step-by-step explanation:
please help me with this if u get it right u get BRAINLISTED HELP PLS
Answer:
D
Step-by-step explanation:
simplify:
3x+9>x+33
2x>24
x>12
now see the graphs, and B and D both are marked with 12
but D has no filled circle, so that is the right answer
I hope this helped, and if my answer was right, please mark this as brainliest! Thank you!
The roller coaster ride is less than 3 minutes.
write inequality
Use the figure to find the measures of the numbered angles. a 107 b mm
help me with this please
Answer:
neither
Step-by-step explanation:
Select the correct answer.
Which graph represents this equation?
5y = x + 5
Answer:b
Step-by-step explanation:
Work out the percentage change when a price of £20 is increased to £22.
Answer:
10% increase
Step-by-step explanation:
To find the percent change, divide the difference between the 2 prices by the original price:
2/20
= 0.1
So, the percent change was 10%
• The website is offering a discount of $7.50 on all Bolga basket orders.
Which expression can you use to find the total price of a basket order?
7.5b + 42
426 - 7.5
7.5b - 42
42b + 7.5
The expression which can be used to find the total price of a basket order is [tex]T=42b - 7.5[/tex]
Let the basket orders be b.Given the following data:
Discount = $7.50Cost of orders = $42To determine which expression can be used to find the total price of a basket order:
Since the basket orders had a discount of $7.50, this discount would be substracted from the cost price of the orders, in order to find the total price. Also, the total cost price would be multiplied by number of basket orders.
Mathematically, this is given by this expression:
[tex]T=42b - 7.5[/tex]
Read more on discount here: https://brainly.com/question/933761
Given point P(8, -3) and Q(3,9), What is the
midpoint of PO?
Answer:
(5.5,3)
Step-by-step explanation:
The value of angle B is
125 115 105
Determine K such that 2/3, k, 5/8,K are consecutive terms of an ap
Answer:
k = 16/33
Step-by-step explanation:
Determine k so that 2/3,k and 5/8k are the three consecutive terms of an a.p
k - 2/3 = 5/8k - k
3k-2/3 = 5k-8k/8
Cross product
(3k-2)(8) = (3)(5k-8k)
24k - 16 = 15k - 24k
24k - 16 = -9k
24k + 9k = 16
33k = 16
k = 16/33
NEED HELP ASAP PLS PLS PLS
At 9:00 a.m., the temperature at an Arctic observatory was −12°F. By 5:00 p.m., the temperature had risen 5 degrees. Over the next three hours, the temperature had dropped 2 degrees.
What was the temperature at 8:00 p.m.?
The temperature at 8 pm is obtained as follows:
-9 ºF.
How to obtain the temperature at 8 pm?The temperature at 8 pm is obtained applying the sequences in the context of this problem.
The initial temperature is of:
−12°F.
By 5:00 p.m., the temperature had risen 5 degrees, hence the temperature at 5 pm is given as follows:
-12 + 5 = -7ºF.
Over the next three hours, the temperature had dropped 2 degrees, hence the temperature at 8 pm is obtained as follows:
-7 - 2 = -9 ºF.
More can be learned about sequences at https://brainly.com/question/6561461
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x/4+2=10
what is x in equation?
Answer:
x = 32
Step-by-step explanation:
x/4 + 2 = 10
subtract 2 on both sides
x/4 + 2 - 2 = 10 - 2
x/4 = 8
Multiply 4 on both sides
x/4 * 4 = 8 * 4
x = 32
__________________________________________________________
Check:
32/4 + 2 = 10
8 + 2 = 10
10 = 10 CORRECT
Hope this helped!
Take your time with this. What are the answers for C and D? Will mark Brainliest.
Answer:
Step-by-step explanation:
Part C- y=20x+600
Part D- To part D find the equations for all the cities.
Everett- y=15x+550
Chelsea- y=20x+600
Revere- y=50x+300
Since 2030 is 14 years away from 2016 x will equal 14.
Plug in 14 to each of the equations. Whichever has the highest result will be the answer.
Everett- y=15(14)+550 -----> y=760
Chelsea- y=20(14)+600 -----> y=880
Revere- y=50(14)+300 -----> y=1000
Revere will have the most chromebooks.
Where are the images of points A, B, C, and D after the reflection across the x-axis?
Identify the coefficient of the term -9c
1. C
2. -c
3. 9
4. -9
Joshua is training for a race. The ratio of the number of minutes he runs to the number of miles he runs is 24 to 3. He plans to run 10 miles. How many minutes will it take him?
Answer:
Time taken to cover 10 miles = 80 minutes
Step-by-step explanation:
Given:
Ratio [Number of minutes : Number of miles runs] = 24:3
Find:
Time taken to cover 10 miles
Computation:
Number of minutes/Number of miles runs = Time taken to cover 10 miles / 10
24/3 = Time taken to cover 10 miles / 10
Time taken to cover 10 miles = 80 minutes
I NEED HELP ASAP PLEASE (will give brainliest)
Answer: ↓↓
Step-by-step explanation:
∠ABF and m∠60° are complementary since they form a right angle.
∠ABF + 60 = 90
∠ABF = 30°
∠ABF and ∠CBD are vertical angles so they're congruent.
∠CBD ≅ ∠ABF
∠CBD ≅ 30
∠CBD = 30°
∠ABC and ∠CBD are linear pair so they're supplementary.
∠ABC + ∠CBD = 180°
∠ABC + 30 = 180
∠ABC = 150
Hope I helped!
A local school requires 3 teachers for every 93 students. Which equation represents this relationship, where t is the number of teachers and s is the number of students?
Answer:
t = 31s
Step-by-step explanation:
................
Answer this question please
Answer:
6
Step-by-step explanation:
add 2 each time
(-∞-)help me help me help me help me help me help me help me help me help me help me help me help me help me help me help me help me help me help me
Answer:
Zero
Step-by-step explanation:
So we start out on a positive 7. We then add a negative (You just subtract) 7. Modified equation: 7-7
7 minus 7 equals 0 or {7 - 7 = 0}
Hope this helps!!
Answer:
0
Step-by-step explanation:
I need help ASAP please someone help!
Answer: Choice A. [tex](-\infty, \infty)[/tex]
This is the same as saying the set of all real numbers.
There are no restrictions to put on the domain, so there are no values to avoid. This is because there are gaps, jumps, or holes in the graph. It's one continuous single curve.
This curve stretches forever to the left and right. As it goes left, it moves up (rises to the left). As it moves right, it goes downhill (it falls to the right). Saying "rises to the left and falls to the right" is an informal way to describe the end behavior. The actual specific end behavior doesn't matter. What matters is both left and right sides go on forever.
A domain of the set of all real numbers means we can plug in any real number for x, and get some output for y, which is part of the range.
One way we can describe the set of all real numbers in terms of an inequality is to write [tex]-\infty < x < \infty[/tex] meaning that x is between negative and positive infinity, ie x is anything you want. The inequality [tex]-\infty < x < \infty[/tex] converts to the interval notation [tex](-\infty, \infty)[/tex]. Interval notation is a compact way of writing compound inequalities.
Solve the equation.
-1/6x - 5 = 2/3x
Please type step-by-step explanation.
Answer: Solution
=
−
6
Step-by-step explanation:
Answer:
X = -6 plz brainliest
Step-by-step explanation:
-1/6x - 5 = 2/3x
Get rid of the smallest amount of x by adding 1/6x to both side
-5 = 5/6x
Divide both side by 5/6
-6 = x
X = -6
x - y = 11 and 3x + 10y = -6 How would I solve by substitution?
Answer:
y = - 3, x = 8
Step-by-step explanation:
x - y = 11, x = 11 + y
Lets solve this equation with substitution: 3x + 10y = - 6
3(11+y)+10y=-6
33+3y+10y=-6
13y=-39
y = - 3
x - (-3) = 11
x + 3 = 11
x = 8
Answer:
use the first equation and solve for the variables
Step-by-step explanation:
for example, to solve for x add y on both sides x=11+y and substitute that to the equation
3(11+y)+10y=-6
that should give you -3
then go back to the equation x=11+y
x=11+(-3)
x=8
hope this helps!
What is the division problem for 3 1/5?
Answer:
16÷5 is the division problem