- 2x
f(x)= x +4,
4x - 7
XS-10
- 10
X2
20. Use the piecewise function to evaluate points f(-1), f(2), and f(12).
O A. f(-1) = 3, f(2) = 1, and f(12) = 41
B. f(-1) = 3, f(2) = 6, and f(12) = 41
O C. f(-1) = 2. f(2) = 1, and |(12) = 41
D. f(-1) = 2. f(2) = 6, and f(12) = 41
Answer:
[tex]f(-1) = 3[/tex]
[tex]f(2) = 6[/tex]
[tex]f(12) = 41[/tex]
Step-by-step explanation:
Given
The piece wise function can be split to:-
[tex]f(x) = -2x[/tex] [tex]x\leq -10[/tex]
[tex]f(x) = x + 4[/tex] [tex]-10<x\leq 2[/tex]
[tex]f(x) = 4x - 7[/tex] [tex]x> 2[/tex]
Required
f(-1), f(2) and f(12)
To solve for each of these functions, we first check the range they fall into, then we execute the corresponding function
Solving f(-1)
-1 is within the range of [tex]-10<x\leq 2[/tex]
Hence; we make use of [tex]f(x) = x + 4[/tex]
Substitute -1 for x
[tex]f(-1) = -1 + 4[/tex]
[tex]f(-1) = 3[/tex]
Solving f(2)
2 is within the range of [tex]-10<x\leq 2[/tex]
Hence; we make use of [tex]f(x) = x + 4[/tex]
Substitute 2 for x
[tex]f(2) = 2 + 4[/tex]
[tex]f(2) = 6[/tex]
Solving f(12)
12 is within the range of [tex]x> 2[/tex]
Hence; we make use of [tex]f(x) = 4x - 7[/tex]
Substitute 12 for x
[tex]f(12) = 4(12) - 7[/tex]
[tex]f(12) = 48 - 7[/tex]
[tex]f(12) = 41[/tex]
A large college wishes to determine the average SAT scores for students who apply from New York. They surveyed 95 students from New York and discovered a mean SAT score of 1509. Which of the statements below represent the statistic and the population, respectively, of the survey?
I. The mean SAT score of all students from New York
II. The mean SAT score of 95 students from New York
III. The 95 students who apply to the college from New York
IV. All students who apply to the college from New York
Statements I and II
Statements II and III
Statements I and IV
Statements II and IV
Answer:
statements 2 and 3
B
Step-by-step explanation:
BD is a diameter of circle Q. If M_ACB=30°, what is M<DBA?
A. 30°
B. 50°
C. 60°
D. 70°
E. 90°
can someone simplify (3x)^4
Answer:
81x^4
Step-by-step explanation:
Apply the product rule to 3x
3^4x^4
Raise 3 to the power of 4
81x^4
please mark me brainliest!
Find the measures of the angles of the ∆ABC if m∠A : m∠B : m∠C = 2:3:4.
Answer:
m∠A = 2x = 2*20 = 40
m∠B = 3x = 3*20 = 60
m∠C= 4x = = 4*20 = 80
Step-by-step explanation:
we know sum of angles of triangle is 180 degrees
given
m∠A : m∠B : m∠C = 2:3:4
let the angle be
m∠A = 2x
m∠B = 3x
m∠C= 4x
we have taken such angle by applying rule of indices where
a:b:c = ax:bx:cx
which means that if we multiply all term of ratio by same number ratio remains same
thus,
2x+3x+4x = 180
9x = 180
x = 180/9 = 20
Thus,
m∠A = 2x = 2*20 = 40
m∠B = 3x = 3*20 = 60
m∠C= 4x = = 4*20 = 80
When
4a- a x 3a + 7a
is simplified it is equivalent to
Answer:
30a
Step-by-step explanation:
4a-a x 3a +7a
3a x 10a
30a
The given expression is:
[tex]4a- a\times 3a + 7a[/tex]By applying multiplication, we get
→ [tex]4a - 3a^2+7a[/tex]
By applying addition, we get
→ [tex]-3a^2+11a[/tex]
By taking "a" as common, we get
→ [tex]a (-3a+11)[/tex]
Thus the answer above is right.
Learn more about simplification will be:
https://brainly.com/question/19201257
Find the value of X
A. 50
B. 36
C. 18
D. 25
A.50
I'm sure its correct
Answer:
It's (A) 50
Step-by-step explanation:
Which number line represents the solutions to |-2x| = 4?
Answer:
Step-by-step explanation:
Your answer is c
the absolute value of -2x would be positive 2x making x =2 and -2
Help me do my ‘mymaths’ homework I’ll give brainliest to the best answer thanks.
Step-by-step explanation:
you make x the subject of formula for all the questions.
a(x+b)=cfirstly you divide both sides of the equation by a, this way the a will cancel it self out of the equation
x+b= c/a
then you take '+b' to the other side of the equation over the = sign, this makes +b sign to change it then becomes -b
x=c/a -b
2. 7(x-a)=b
you divide both sides of the equation by 7.
x-a=b/7
then you take -a to the other side of the equation it becomes +a
x=b/7+a
NOTE: always eliminate the number/letter beside the bracket first. it unlocks the bracket. the number or letter is joined to a bracket by multiplication so we divide to eliminate it
In the diagram, what is the measure of angle 1 to the nearest degree? A transversal intersects 2 lines to form 8 angles. Clockwise from the top left, the angles are blank, 88 degrees, blank, (7 x + 4) degrees; blank, blank, (7 x minus 2) degrees, 1. 82° 92° 94° 98°
Answer:
98 degrees
Step-by-step explanation:
The measure of angle 1 is 92°
The correct option is B.
What is an angle measure?When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.
Given:
A transversal intersects 2 lines to form 8 angles.
Clockwise from the top left, the angles are blank, 88 degrees, blank, (7 x + 4) degrees;
blank, blank, (7 x minus 2) degrees, blank.
Now, the property of the supplementary angles:
m∠1 + m∠2 = 180°
m∠1 = 180 - 88
m∠1 = 92°
Therefore, the angle measure of angle 1 is 92°.
To learn more about the angle measure;
brainly.com/question/14684647
#SPJ6
Complete the solution of the equation. Find the
value of y when x equals -14.
-2x + 5y = 8
Answer:
y = -4
Step-by-step explanation:
-2x + 5y = 8
Let x=-14
-2(-14) +5y = 8
28 +5y = 8
Subtract 28 from each side
28-28 +5y = 8-28
5y = -20
Divide by 5
5y/5 = -20/5
y = -4
Questions in image below
Answer:
domain 0<=x<=infinty or [0,infinity)
Range 0<=y<=infinity or [0,infinity
Step-by-step explanation:
A researcher posts a newspaper advertisement offering 520 in exchange for participation in a short study. The researcher accepts the first five people who respond to the advertisement which
of the following statements is true about the sample?
It is not a valid sample because it is only a short study
It is a valid sample because money was offered to participants
It is a valid sample because the first five people were selected to participate
It is not a valid sample because it is not a random sample of the population
Answer:
It's a valid sample because the first five people were selected to participate.
Step-by-step explanation:
True because random people who saw the advertisement responded. By chance, not every person who saw the advertisement answered, therefore it was random, but it would be more random if he decided to reject the second, fourth, sixth, and eighth person, and only the first, third, fifth, seventh, and ninth were chosen.
Asap answer Needed (desperate)
Answer:
Part 1: [tex]2l+2w=34[/tex] Part 2: 10.5 Units
Step-by-step explanation:
We can find perimeter of a rectangle using formula [tex]2l+2w=P[/tex]. We are given [tex]w[/tex], which is 6.5. Put this into the equation.
[tex]2l+2(6.5)=342l+13=34\\2l=21\\l=10.5[/tex]
So, length(l) of the rectangle is 10.5 units.
Answer:
10.5
Step-by-step explanation:
The perimeter of rectangles is calculated by adding all lengths together
34 units = length + length + width +width
since width is given as 6.5 units
2l + 2 × 6.5 = 34 (l : length)
2l + 13 = 34
2l = 21
l = 10.5
2. (07.02 MC)
An equation is shown below:
4(2x – 5) = 4
Part A: How many solutions does this equation have? (4 points)
Part B: What are the solutions to this equation? Show your work. (6 points)
Answer:
A. One solution.
B. x = 3.
Step-by-step explanation:
4(2x - 5) = 4
4*2x + 4*-5 = 4
8x - 20 = 4
8x = 24
x = 3.
The given equation has one solution and the solution to the given equation is 3
Solution to linear equationLinear equation has a leading degree of 1. Given the equation
4(2x - 5) = 4
Divide both sides by 4
4(2x-5)/4 = 4/4
2x - 5 = 1
Add 5 to both sides
2x = 1 + 5
2x = 6
x = 3
Hence the given equation has one solution and the solution to the given equation is 3
Learn more on linear equation here: https://brainly.com/question/14323743
I NEED THIS BY 11:50!!! PLEASE HELP, WILL MARK BRAINIEST IF CORRECT!
Use these expressions to answer the questions.
Expression A: (x + y)
Expression B: (x) + (y)
Choose a positive value for x and positive value for y. Then, do the following steps:
Substitute the x- and y- values into expression A and expression B.
Simplify.
Write the result of each expression. Repeat these steps for the next three situations: Choose a negative value of x and a negative value y. Choose a positive value of x and a negative value of y. Choose a negative value of x and a positive value of y. 2.
Describe any patterns you notice. Are the two expressions ever equal? Can one be greater than the other?
Answer:
Both expressions are equal. One expression cannot be greater than the others.
Step-by-step explanation:
The given expressions are:
A: (x + y)
B: (x) + (y)
Let x = a and y = bA: (a+b) = a+b
B: (a)+(b) = a+b
Let x = -a and y = -bA: (-a+ (-b)) = -a-b
B: (-a)+(-b) = -a-b
Let x = a and y = -bA: (a+(-b)) = a-b
B: (a)+(-b) = a-b
Let x = -a and y = bA: ((-a)+b) = -a+b
B: (-a)+(b) = -a+b
We can see the pattern that both expressions are always equal to each other, no matter what value of x and y you plug in. One expression cannot be greater than the other
A lottery ticket costs $5. You pick 3 two-digit numbers (anything from 00 to 99) in order. If you match the first number only, you win $200. If you match the first two numbers and not the third, you win $5000. If you match all three numbers, you win $100,000. In two or more complete sentences, explain whether or not the game is fair. In your explanation, include all necessary calculations.
Answer:
00 to 99 are 100 numbers.
If you match the first number only, you win $200. The Probability for this is 1/100.
If you match the first two numbers and not the third, you win $5000. The Probability for this is 1/50.
If you match all three numbers, you win $100,000. The Probability for this is 3/100.
And, If you are a customer, You will think is fair for you.
But if you are the lottery tickets company, you will think is not fair for you.
It depends who you are.
the game isn't fair because 100,000/3=3333 1/3, so each number should be worth $3333.3333...... dollars but you can't really give 1/3 dollars so the game is impossible to be fair. Also, if you match the first two numbers you apparently get $5000. That's also not fair because each number is worth $50 dollars more than if you get the first number matched. So, the game isn't fair but it will be pretty much impossible to be fair.
Which document do you need to have on hand when preparing to file your tax return?
O A.
auto insurance card
OB.
birth certificate
OČ.
driver's license
OD.
Form W-2
O E.
Form W-4
Answer:
w-2
Step-by-step explanation:
To file your return, you'll need the following on hand: Your W-2: This form will come from your company and list not only your salary for the year but the amount of taxes withheld along the way. You're required to file your W-2 along with your taxes, so if you're a salaried employee, this form is non-negotiable.
The document you need to have on hand when preparing to file your tax return is Form W-2. The correct option is D.
What is tax return?A tax return is a document filed with the tax authorities by individuals or businesses to report their income, expenses, and other relevant financial information in order to calculate their tax liability or refund.
It is usually filed once a year, and the information on it is used to determine whether the taxpayer owes additional taxes or is eligible for a refund.
Form W-2 is a form that an employer provides to an employee at the end of the year that shows the employee's total earnings as well as the amount of taxes withheld from those earnings.
It is a necessary document for accurately preparing and filing an individual's tax return.
Thus, the correct option is D.
For more details regarding tax return, visit:
https://brainly.com/question/21214035
#SPJ7
Question 14 (1 point)
Saved
If f(x) = x2 + 5, f(-3) =
14
15
O 1) -
17
18
2-4
20
21
3) 14
O 4) 11
23
24
O 5)-11
Answer:
-6
Step-by-step explanation:
On a coordinate plane, 2 quadrilaterals are shown. Quadrilateral Q R S T has points (negative 1, 0), (5, 0), (3.5, negative 6) and (negative 2.5, negative 6). Quadrilateral Q prime R prime S prime T prime has points (negative 1, 2), (1, 2), (0.5, 0), and (negative 1.5, 0). Quadrilateral QRST is dilated and translated to form similar figure Q'R'S'T'. What is the scale factor for the dilation?
Answer:
[tex]\dfrac{1}{3}[/tex].
Step-by-step explanation:
In quadrilateral QRST, Q(-1,0), R(5,0), S(3.5,-6), T(-2.5,-6).
In quadrilateral Q'R'S'T', Q'(-1,2), R'(1,2), S'(0.5,0), T'(-1.5,0).
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using distance formula , we get
[tex]QR=\sqrt{(5-(-1))^2+(0-0)^2}=\sqrt{6^2}=6[/tex]
[tex]Q'R'=\sqrt{(1-(-1))^2+(2-2)^2}=\sqrt{2^2}=2[/tex]
Now,
[tex]\text{Scale factor}=\dfrac{Q'R'}{QR}[/tex]
[tex]\text{Scale factor}=\dfrac{2}{6}[/tex]
[tex]\text{Scale factor}=\dfrac{1}{3}[/tex]
Therefore the scale factor is [tex]\dfrac{1}{3}[/tex].
The given transformation of quadrilateral QRST to quadrilateral Q'R'S'T'
are a dilation and a translation, therefore, QRST is similar to Q'R'S'T'.
[tex]\mathrm{The \ scale \ factor \ of \ the \ dilation\ between \ QRST \ and \ Q'R'S'T' \ is} \ \dfrac{1}{3}[/tex]
Reasons:
The vertices of the quadrilateral are;
Quadrilateral QRST
Q(-1, 0)
R(5, 0)
S(3.5, -6)
T(-1, 2)
Quadrilateral Q'R'S'T'
Q'(-1, 2)
R'(1, 2)
S'(0.5, 0)
T'(-1.5, 0)
The given transformation that gives quadrilateral Q'R'S'T' from quadrilateral QRST are a dilation and a translation.
Required:
The scale factor of the dilation
Solution:
[tex]\mathrm{The \ scale \ factor \ of \ the \ dilation} = \dfrac{\mathrm{Length \ of \ \overline{Q'R'} }}{\mathrm{Length \ of \ \overline{QR}} }[/tex]
Length of [tex]\overline{Q'R'}} }[/tex] = 1 - (-1) = 2
Length of [tex]\overline{QR}} }[/tex] = 5 - (-1) = 6
Therefore;
[tex]\mathrm{The \ scale \ factor \ of \ the \ dilation} = \dfrac{2}{6} = \dfrac{1}{3}[/tex]
Learn more here:
https://brainly.com/question/12077721
PLS RESPOND ASAP 7th grade math
Answer:
3/4
Step-by-step explanation:
The constant of proportionality is y/x
3/4
The probability of picking a quarter from a jar of coins is 0.125. If Noah has 250 coins in the jar, about how many quarters are in the jar?
Answer:
31.25
Step-by-step explanation:
There are about 31 quarters in a the jar so if you need to round do accordingly! Have a good day
Answer:
31 quarters
Step-by-step explanation:
Have an equation set
Then you solve the equation you get 31.25
Round the number since you can't have 31.25 quarters it just doesn't make sense.
Round it to 31
Therefore your answer is 31 quarters
Hope this Helps!
P(2, 2), Q(1, -3), R(-4, 2), S(-3, 7) Using the information above, answer the following questions. Find the length of RS Find the length of SP Find the length of PQ Find the length of RQ Use this information to determine if the quadrilateral a parallelogram.
Answer:
Yes the Quadrilateral is a Parallelogram.
Step-by-step explanation:
A parallelogram can be defined as a quadrilateral i.e a geometric shape with four sides that has opposite sides parallel and equal in length.
From the question, we are given the following points
P(2, 2), Q(1, -3), R(-4, 2), S(-3, 7)
Given points: (x1, y1) and (x2, y2)
The formula would be
√(x2 - x1)² +(y2 - y1)²
a) P(2, 2), Q(1, -3)
Length PQ = √(1 - 2)² +(-3 - 2)² = √-1² + -5² = √26
b) R(-4, 2), S(-3, 7)
Length RS = √(-3 - (-4))² + (7 - 2) ² = √ 1² + 5² = √26
c) R(-4, 2), Q(1, -3)
Length RQ = √(1 - (-4))² + (-3 - 2)² = √5² + 5² = √(25 + 25) = √50
d) S(-3, 7), P(2, 2)
Length SP = √(2 - (-3))² + (2 - 7)² = √5² +(-5)² = √(25 + 25) = √50
From the above solution, we can see that
Length PQ = Length RS
Length RQ = Length SP
This means the opposite sides are parallel and equal in length, hence it is a Parallelogram.
The length of a rectangular pool is 4yds longer than twice the width. If the area is 70 square yards, find the dimensions.
Answer: Found it by web and solving
Step-by-step explanation: L = W + 4
LW = 60
---
LW = 60
(W + 4)W = 60
W^2 + 4W + (-60) = 0
---
above is in quadratic equation form: ax^2 + bx + c = 0
---
use the quadratic formula to solve for two solutions:
x = ( -b +- sqrt( bb - 4ac ) ) / 2a
---
the two solutions are:
W = 6
W = -10
the negative solution doesn't make sense for length, so use the positive solution.
---
L = 10
W = 6
The angles of a quadrilateral are in the ratio of 2:6:9:13
Find all the angles of the quadrilateral
Answer:
24° , 72° , 108° , 156°Step-by-step explanation:
Let the angles be 2x , 6x , 9x , 13x
We know that the sum of quadrilateral is 360°
Now,
[tex]2x + 6x + 9x + 13x = 360[/tex]
Calculate the sum
[tex]30x = 360[/tex]
Divide both sides of the equation by 30
[tex] \frac{30x}{30} = \frac{360}{30} [/tex]
Calculate
[tex]x = 12[/tex]
Replacing the value,
2x = 2 * 12 = 24°
6x = 6 * 12 = 72°
9x = 9 * 12 = 108°
13x = 13 * 12 = 156°
So, the angles are 24° , 72° , 108° , 156°
Hope this helps...
Good luck on your assignment...
Answer:
Below in bold.
Step-by-step explanation:
2+6+9+13 = 30.
Now there are 360 degrees in a a quadrilateral.
So the value of the shortest angle = 2/30 * 360
= 1/15 * 360
= 24 degrees.
In the same way the value of the other 3 angles is:
6/30 * 360, 9/30 * 360 and 13/30 * 360
= 72, 108 and 156 degrees.
divided 80 by my number, and then added 13. The result was 93. What was my number ?
Answer:
6400
Step-by-step explanation:
6400/80=80
80+13=93
Hope this Helps
Pls Mark as Brainliest
Your number was 6400 because when 6400/80= 80, Then 80+13= 93.
What is division explain?
Division is one of the four basic operations: addition, subtraction, and multiplication are the alternatives 3. department is a simple operation in which a number is split. it's easiest to think about it as a number of items being divided among a sure range of human beings, including inside the above example.
What is a division example?In maths, a division is a technique of splitting a selected amount into the same parts. for instance, we can divide a set of 20 members into 4 agencies of 5 individuals each or five organizations of 4 members every, and so on.
Learn more about Division here https://brainly.com/question/25289437
#SPJ2
The following graph represents the equation y=-3/2x+3?
Please select the best answer from the choices provided.
TRUE OR FALSE
Answer:
yes
Step-by-step explanation:
For the x-values 1,2,3, and so on the y values of a function form a geometric sequence that decreases in value. What type of function is it? A. increasing linear. B. Decreasing linear C. exponential growth D. exponential decay
Answer:
D
Step-by-step explanation:
BIG BRAIN
Makes no sense yea put D like it’s gonna be the answer for d on mine
Graph the equation by plotting three points -3y=x-6
Answer:
Use a graphing calc
Step-by-step explanation:
(11a - 2b +7c) - (3a - 9b + 5c)
Work Shown:
(11a - 2b + 7c) - (3a - 9b + 5c)
11a - 2b + 7c - 3a + 9b - 5c ... see note below
(11a-3a) + (-2b+9b) + (7c-5c)
8a + 7b + 2c
note: don't forget to distribute the negative through to every term inside the parenthesis
━━━━━━━☆☆━━━━━━━
▹ Answer
8a + 7b + 2c
▹ Step-by-Step Explanation
(11a - 2b + 7c) - (3a - 9b + 5c)
Remove the parentheses
11a - 2b + 7c - (3a - 9b + 5c)
Collect like terms
8a - 2b + 7c + 9b - 5c
Final Answer
8a + 7b + 2c
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━