Answers
9514 1404 393
Answer:
f(x) = {-x for x < 2; 2x-3 for x ≥ 2}
Step-by-step explanation:
The blue line extending to the left has a slope of -1 and a y-intercept of 0. Its equation is y = -x. That part of the definition of f(x) is applicable for values of x less than 2. (The open dot at (2, -2) tells you that point is not included.)
The red line extending to the right has a slope = rise/run = 2/1 = 2. The y-intercept can be found by extending the line to the y-axis, or from the computation ...
b = y -mx
b = 1 -2(2) = -3 . . . . . for the point (x, y) = (2, 1)
Then the slope-intercept equation for the red line is ...
y = 2x -3
That part of the definition of f(x) is applicable for values of x ≥ 2. The solid dot tells you the point (2, 1) is included.
Putting these parts together, we get ...
[tex]f(x)=\left\{\begin{array}{cc}-x&\text{if $x<2$}\\2x-3&\text{if $x\ge2$}\end{array}\right.[/tex]
Related Questions
Find the vertex of the parabola y = x2 + 5x.
Answers
y = x^2+5x
Rewrite the equation in vertex form
y = (x+(5/2))^2 -(25/4)
Find a h and k using the vertex form y=a(x-h)^2 + k
a=1
h=(-5/2)
k= (-25/4)
answer: (-5/2 , -25/4)
Clarissa wants to create more shade in her yard to block the hot sun, so she buys a sapling of an oak tree and plants it in the yard. To make sure the tree is growing at a healthy rate, she makes the following table to track its height over a period of weeks. What is the average rate of change in the tree's height from week 3 to week 9? Enter your solution into the box below.
Answers
Answer:
The answer is 7.
Step-by-step explanation:
Determine what values to use from the table to find the average rate of change.
The problem asks for the average rate of change (AROC) from week 3 to week 9. The points referring to these measurements would be (3, 41) and (9, 83), respectively.
Step 2
FInd the AROC from (3, 41) to (9, 83).
The formula for the slope of a line between two given points (which is the same as AROC from the first two the second point) is
AROC = y2−y1x2−x1
In your points, x1 is 3, x2 is 9, y1 is 41, and y2 is 83. Plug these values into the above formula and simplify.
AROC = 83−419−3=426=7
The AROC is 7.
Step 3
Enter your solution.
Enter the value 7 and move on to the next question.
Carlos bikes 2 1/2 miles in 1/4 hours. At that rate, how many miles would he bike in 1 hour?
Answers
Answer:
10
Step-by-step explanation:
since it’s 1/4 1 out of the four is 2.5 so just multiply by four
The amount of paint needed to cover a wall is proportional to its area. The wall is rectangular and has an area of 4z^2+2z square meters. Factor this polynomial
Answers
Answer:
2z(2z+1)
Step-by-step explanation:
yup
Below is the graph of a trigonometric function. It has a maximum point at (-5, 2.5) and a minimum point at
(-1.7, -4.5).
Answers
Answer:-1
Step-by-step explanation:
2.5+(-4.5) then / 2
Which are the points labeled to show the solution to the system of the equations?
Answers
Answer:
C
Step-by-step explanation:
It is where the two lines intersect, which is the answer
Answer: C
Step-by-step explanation: Point C is where the two lines intersect. This means there is a point where both x's share a value and both y's share a value.
Which of the quadratic equations below has solutions of x = 8 and x = -2?
F. x2 + 6x = 16
G. x2 + 6x = -16
H. x2 – 6x = 16
J. x2 – 6x = -16
Answers
The local street cart sells bacon egg and cheese sandwiches for $2.50, and soft drinks for $0.75. The street vendor made a total of $933 after selling a total of 747 sandwiches and soft drinks.
thanks:b
Answers
Answer:
Step-by-step explanation:
Simplify 8-9+8÷4
Please help thank you
Answers
Answer:
1.
Step-by-step explanation:
The equation 8 - 9 + 8 / 4 is given.
When solving equations with multiple signs in them, we need to follow PEMDAS.
Which is an acronym for a series of equations you need to follow in order.
Parenthesis
Exponent
Multiply
Divide
Addition
Subtraction.
So look at the equation, 8 / 4 would be first since it is dividing.
8 / 4
2
8 - 9 + 2
Now when it comes down to the last two of PEMDAS (Addition and Subtraction), we can just solve left to right.
Therefore,
8 - 9
-1
-1 + 2
1
Jim qualifies for $0 down payment but makes a $2,500 down payment on his car purchases anyway. Will this payment help or hurt him
Answers
Answer:
help him
Step-by-step explanation:
Paying a $2,500 down payment on an automobile would normally benefit Jim. He reduces the total amount of the loan for the vehicle he will need to take out by making a down payment, which reduces the cost of his monthly payments and the amount of interest he will have to pay over the life of the loan. Furthermore, having a down payment increases his chances of getting approved for a loan or receiving a cheaper interest rate.
What is Down payment?A down payment is an upfront cash payment made when purchasing a significant ticket item like a car or a house. The down payment is often a proportion of the total cost of ownership and is made in order to lower the amount of financing required. Lower monthly payments or a shorter loan term are sometimes the outcome of a higher down payment.
A down payment is an initial up-front payment in part for the purchase of a large item or service, such as a car or a house. It is normally paid in cash or in the form of an equivalent at the time the transaction is completed. The balance of the payment is then financed by a loan of some kind.
Therefore, paying a $2,500 down payment on an automobile would normally benefit Jim.
Learn more about Down payment, here:
https://brainly.com/question/29397199
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4) Is( 4,-5) a solution to
y +8 > -(x + 2)
Show your work
Please eplain
Answers
Step-by-step explanation:
[tex] - 5 + 8 > - (4 + 2) \\ 3 > - 6 \\it \: is \: true[/tex]
Answer:
yes
Step-by-step explanation:
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answers
Answer:
36?
Step-by-step explanation:
split in two, triangle 6x6=36/2=18, rectangle 6x3=18, whole 18+18=36 your answer is 36
Answer:
it's 36 square feet
Step-by-step explanation:
find the sale price of the item. round to two decimal places if necessary original price $225.60 markdown 80 %
Answers
Answer:
gan if you could anssbdhe
Step-by-step explanation:
(ruu ule
(b) दिइएको समीकरणबाट झुकाव पत्ता लगाऊ ।
(Find the slope of the given equation): y-3 = 2x
Answers
Answer:
y-3 = 2x
2x-y+3=0 we have
slope
m =- coefficient of x/coefficient of y=-2/-3=2/3 is a slope..
Help me please! Its really complicated
Answers
1. 4.5 cm
2. 25.13 inches
3. 78.54 cm
4. 13 cm. 6.5 +6.5
Radius is half the diameter
Step-by-step explanation:
1) Radius = Half of Diameter
[tex]r = \frac{1}{2} d \\ r = \frac{1}{2} \times 9 \\ = 4.5cm[/tex]
2) Given r = 4 in.
Circumference of Circle =
[tex]2\pi \: r \\ = 2\pi(4) \\ = 8\pi \: cm[/tex]
3) Given r = 5 in.
Area of Circle =
[tex]\pi {r}^{2} \\ = \pi {5}^{2} \\ = 25\pi {cm}^{2} [/tex]
4)Diameter = 2x Radius
[tex]d = 2r \\ = 2 \times 6.5 \\ = 13cm[/tex]
Note for questions 2 and 3 I will leave answers in terms of pi as the question did not specify to leave the answer as what. You can use your calculator to evaluate them if needed.
How many boys are there in an introductory Chinese course if 390 students are enrolled and there are seven boys to every three girls?
Answers
x^2 =1 how many solutions are there
Answers
Answer:
Answer:
x=1 or x=−1
Step-by-step explanation:
I think just 2
Answer:
x=1, x=-1
Step-by-step explanation:
x^2=1
x=sqrt(1)=+-1
Thus, there are 2 solutions: 1 and -1
PLEASE HELP!!!!!
Part A: Which person has earned more money after working 3 hours? Show or explain your work.
Part B: After how many hours of work Will Mary Ann and Carlos have saved the same amount?
show or explain your work.
Answers
Answer:
huh [•.•ิ] that's confusing sry
Answer:
after 3 hours they would each earn $21
Step-by-step explanation:
Joe bought four books at a bookstore. Here are their prices (in dollars). 7.34, 11, 13.2, 5.3 What is the total amount Joe paid at the bookstore?
Answers
Answer:
36.84
Step-by-step explanation:
just add them it is all really just basic addition nothing more to it
Stella was out at a restaurant for dinner when the bill came. Her dinner came to $10. She wanted to leave a 25% tip. How much was her meal plus the tip, before tax, in dollars and cents?
Answers
Tip at 25% is $2.50
Total before tax is $12.50
Answer:
12.50
Step-by-step explanation:
Help please !! need it adap
Answers
Answer:
m < Q = 40°
m < M = 60°
Step-by-step explanation:
1.) All angles in every triangle altogether equal 180°
From the 4 measurements, you can tell angle Q and S are equal in order to make all angles equal 180 and those angles to be equal (below)
180 - 100 = 80
80/2 = 40
2.) This is an isoceles (all angles and sides are equal) There are three angles (divide 180 by 3)
180/3 = 60
help me plssssssssssss☺☺☺☺
Answers
Answer:
1. supplementary angles
2. vertically opposite angles
3. corresponding angles
4. alternate interior angles
5. alternate exterior angles
6. corresponding angles
7. corresponding angles
8. alternate exterior angles
hope this helps
good day mate
Jennie is standing 52 km away from the Volcano and the volcano is 2.4 km high. Assuming Makayla and the base of the volcano are at the same elevation above sea level, what is the angle of elevation from Makayla to the top of the volcan??
Answers
9514 1404 393
Answer:
2.64°
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
Here, the side of the right triangle in this geometry that is adjacent to the angle of elevation is the distance to the volcano: 52 km. The side opposite is the height of the volcano: 2.4 km. Then the angle α is found from ...
tan(α) = 2.4/52
α = arctan(2.4/52) ≈ 2.64°
The angle of elevation from Makayla's position is about 2.64°.
Answer:
Solution :-Since Jennie is standing away so,
[tex] \sf \: \tan( \arctan) = \dfrac{2.4}{52} [/tex]
=> 2.64⁰
someone please help me answer this!!
Answers
Answer:
8 units is the answer.
Step-by-step explanation:
Pythagorean theorem can be written as,
[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(9-9)^2 + (-7-1)^2}\\\\d=\sqrt{(0\\)^2+(-8)^2} \\\\d=\sqrt{64} \\\\d=8[/tex]
∴ d = 8 units
Can someone please tell me the answer
Answers
It's B because 2 equals 86 dgrees since its vertical angles
There are 20 monkeys in a zoo. There are 4 times as many lions monkeys as lions. How many lions are there
Answers
What is the product of 3.8X102 and 6.4X106 expressed in scientific notation?
Answers
Answer:
24.32x10^8
Step-by-step explanation:
3.8x10^2 and 6.4x10^6
Put in expression.
(3.8x10^2)+(6.4x10^6)
Remover parenthesis.
3.8x10^2+6.4x10^6
Rearrange so like terms are together.
(3.8x6.4)+(10^2x10^6)
Then combine like terms.
24.32x10^8
So that's the answer.
---
hope it helps
Find the value of x.
(a)
(10.7)" = 2
3x92x1 = 27*
(b)
Answers
Step-by-step explanation:
where is x in the question
Solve the system of equations by graphing
Answers
Answer:
Step-by-step explanation:
2. Solve the following problems involving simple interest. Recall
Simple Interest-INT=PV*r*t
An investor decides to offer a business owner a $45,000 loan at simple interest of 3.5%
per year. Find the total amount in dollars, the investor will receive when the loan is
repaid after 7 years.
Answers
Answer:
A = $56025
Step-by-step explanation:
Given that,
An investor decides to offer a business owner a $45,000 loan at simple interest of 3.5% per year.
Principal, P = 45,000
Rate of interest, R = 3.5%
We need to find the total amount the investor will receive when the loan is repaid after 7 years.
The formula for the simple is given by :
[tex]I=\dfrac{PRT}{100}\\\\=\dfrac{45000\times 3.5\times 7}{100}\\\\=\$ 11025[/tex]
We know that,
Amount = Principal + simple interest
So,
A = 45,000 + 11025
A = $56025
So, the required amount is equal to $56025.