Answers
-1 is less than 0, so you use the first equation:
3(-1) +2 = -3+2 = -1
f(-1) = -1
For 0 use the 2nd equation:
3(0) + 4 = 0+4 = 4
f(0) = 4
For 2 use the 2nd equation:
3(2) + 4 = 6+4 = 10
f(2) = 10
Related Questions
The surface area of a roof with dimensions of 40 feet long by 28 feet wide is how many times the surface area of a floor where the dimensions are 16 feet long by 7 feet wide?
Answers
Answer:
10 times
Step-by-step explanation:
Multiply 40 by 28
1120
Multiply 16 by 7
112
Divide the two numbers
You get 10
Hope this helps!
What is center of a circle whose equation is x2
Answers
Answer:
I think it is 160 x2 so you would probably divide 160 by x2 which would 144
Step-by-step explanation:
Jack brought a new set of golf clubs of $186.75. The original price was $249. What percent of the original price did he pay?
133.3%
33.3%
25%
75%
Answers
Answer: 75%
Step-by-step explanation:
186.75/249 =.75
.75x100
75%
Express the radical using the imaginary unit, i.
Express your answer in simplified form.
±sqrt(-35)
Answers
Answer:
-7i or 7i
Step-by-step explanation:
You can't take the square root of a negative number, so the value "i" is automatically taken out. You're now left with i +/- sqrt(35). The square root of 35 now can either be -7 or 7 because of the +/-, so the final answer is -7i or 7i.
Divide the following complex numbers:
[tex](2 + i) \div (1 - 4i)[/tex]
Answers
Answer:
[tex]-\dfrac{2}{17} + \dfrac{9}{17}i[/tex]
Step-by-step explanation:
[tex] (2 + i) \div (1 - 4i) = [/tex]
[tex] = \dfrac{2 + i}{1 - 4i} [/tex]
[tex] = \dfrac{2 + i}{1 - 4i} \times \dfrac{1 + 4i}{1 + 4i} [/tex]
[tex] = \dfrac{(2 + i)(1 + 4i)}{(1 - 4i)(1 + 4i)} [/tex]
[tex] = \dfrac{2 + 8i + i + 4i^2}{1 + 16} [/tex]
[tex] = \dfrac{2 + 9i - 4}{17} [/tex]
[tex] = \dfrac{-2 + 9i}{17} [/tex]
[tex]= -\dfrac{2}{17} + \dfrac{9}{17}i[/tex]
Your grandma recently moved to Hawaii (Hawaiian Standard Time Zone). You always call her at 8:00pm on her birthday (November 6th). You are at home in Southern California. What time do you need to call her to reach her at 8:00pm Hawaiian Time
Answers
Find the difference.
(3x3−2x2+4x−8)−(5x3+12x2−3x−4)=
Answers
Answer:
-2x³ - 14x² + 7x - 4
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
(3x³ - 2x² + 4x - 8) - (5x³ + 12x² - 3x - 4)
Step 2: Simplify
[Distributive Property] Distribute negative: 3x³ - 2x² + 4x - 8 - 5x³ - 12x² + 3x + 4Combine like terms (x³): -2x³ - 2x² + 4x - 8 - 12x² + 3x + 4Combine like terms (x²): -2x³ - 14x² + 4x - 8 + 3x + 4Combine like terms (x): -2x³ - 14x² + 7x - 8 + 4Combine like terms: -2x³ - 14x² + 7x - 4Question 3: Is the mean hemoglobin level of high-altitude workers different from 20 g/cm ? To investigate this, researchers examined a sample of 20 workers and found that sample mean hemoglobin level is 17 g/cm whereas sample standard deviation is 3 g/cm². Test this claim at alpha=0.10.
Answers
Answer:
Science is really connected to mathematics.Hemoglobin is the red bloodWhen sales of a particular hybrid automobile reach 60,000 units, federal income tax credits begin to phase out. One year after reaching this threshold, buyers are still eligible for 25% of the original $3000 credit. What tax credit would buyers receive if they purchased the vehicle at this time.
Answers
Answer:
$750
Step-by-step explanation:
so, in short, we need to calculate 25% of $3000.
that is the amount of tax credit a buyer would get then.
direct and fast answer :
25% means 1/4 of the overall amount.
$3000 / 4 = $750
now, a little bit longer to explain % calculations in general.
let's say, we are talking 27%. now we have a problem to find a fast fraction as factor.
it always starts with the identification of 100%.
what is the full starting amount we are dealing with ? that is the 100%.
in our case $3000.
now, as a base for the calculation we determine 1%, which is 1/100 of 100%, of course.
1% = $3000 / 100 = $30
to get said 27% we have to multiply this by 27
27% = 1% × 27 = $30 × 27 = $810
or in general
x% = 100% × x / 100
that also works for more complex questions. e.g. calculate 1.5%
1.5% = $3000 × 1.5 / 100 = $30 × 1.5 = $45
and that is all there is to % calculations. all the questions are just some variations, where your are missing one of the 3 "ingredients" : 100% amount, x% amount and x itself.
and you need to transform the general equation above to get the missing piece of of the given information.
What number increased by 11.8% equals 185
Answers
Answer:165.47
Step-by-step explanation:
What is the equation, in the point-slope form, of the line that is parallel to the given and passes through the point (-1,-1)?
Answers
Answer:
y + 1 = 3(x+ 1)
Step-by-step explanation:
(2,3) , (0 ,-3)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{-3-3}{0-2}\\\\=\frac{-6}{-2}\\\\= 3[/tex]
m = 3
Parallel lines have same slope.
m = 3; (-1 , -1)
y -y1 = m (x -x1)
y -[-1] = 3(x -[-1])
y + 1 = 3(x+ 1)
Answer:
D. y+1=3(x+1)
Reflections were shown across the x- and y-axes but reflections can occur across any line. The figure above shows quadrilateral EFGH reflected about the line y=x. Which best describes what happens to the ordered pair for this reflection?
1. (x,y) → (y,x)
2. (x,y) → (-x,-y)
3. (x,y) → (-y,-x)
4. There is no relationship between the points.
Answers
Answer:
1. (x,y) → (y,x)
Step-by-step explanation:
Coordinate of point E:
Before the transformation, the coordinate of point E was given by (3,-6).
After the transformation, we have E'(-6,3), which eliminates options 2 and 3.
For the other points, we will also get, (x,y) -> (y,x), which is the rule given when the original figure is reflected over the line y = x, and thus, the correct answer is given by option 1.
Simplify this plz thanks
Answers
Answer:
[tex]\frac{1}{g^{5nd+10v+20dv} }[/tex]
Step-by-step explanation:
The width of a rectangular slab of concrete is 7 m less than the length. The area is 98 m squared. Find the dimensions
Answers
Answer:
Length = 14 m, Width = 7 m
Step-by-step explanation:
Let the length is l and width is b.
Width, b = l-7
Area of the rectangle, A = 98 m²
We know that, the area of a rectangle is as follow :
[tex]A=lb[/tex]
So,
[tex]98=l(l-7)\\\\98=l^2-7l\\\\l^2-7l-98=0\\\\l^2+7l-14l-98=0\\\\l(l+7)-14(l+7)=0\\\\l=14,-7[/tex]
Length can't be negative. So,
Width, b = 14-7 = 7 m
So, the dimensions of the rectangle are 14 m and 7 m respectively.
How many digit numbers with all ranging from to have at least of their digits equal. How many have exactly equal digits
Answers
Answer:
Step-by-step explanation:
Please can you re-write your question, the question is incomplete and difficult to understand.
Thanks.
Someone please help me !!
Answers
Answer:
6(x-1)(x+1)(6x-1)/6(x-1)
6(x+1)(6x-1)/6
(x+1)(6x-1)
Badluckville had been expecting a $50 million investment for a new golf resort, but the contract was cancelled.
Badluckville's mayor estimates that this will cost the city $300 million in total economic activity. What is the mayor's
estimate of the multiplier and marginal propensity to consume?
Answers
Answer:
multiplier = 6
marginal propensity to consume = .83
Step-by-step explanation:
/ means divided by
1 .
300,000,000 / 50,000,000 =
multiplier =
6
2.
300,000,000 - 50,000,000 =
250,000,000
250,000,000/300,000,000 =
marginal propensity to consume =
0.83333333333
or
.83
quizlet
marginal propensity to consume is equal to ΔC / ΔY, where ΔC is the change in consumption, and ΔY is the change in income
investopedia
One urn contains 6 blue balls and 14 white balls, and a second urn contains 12 blue balls and 7 white balls. An urn is selected at random, and a ball is chosen from the urn. a. What is the probability that the chosen ball is blue? b. If the chosen ball is blue, what is the probability that it came from the first urn?
Answers
Answer:
a) 0.4658 = 46.58% probability that the chosen ball is blue
b) 0.322 = 32.2% probability that it came from the first urn
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a. What is the probability that the chosen ball is blue?
6/20 = 0.3 of 0.5(first urn)
12/19 = 0.6316 out of 0.5(second urn).
So
[tex]P(A) = 0.3*0.5 + 0.6316*0.5 = 0.4658[/tex]
0.4658 = 46.58% probability that the chosen ball is blue.
b. If the chosen ball is blue, what is the probability that it came from the first urn?
Event A: Blue Ball
Event B: From first urn
From item a., [tex]P(A) = 0.4658[/tex]
Probability of blue ball from first urn:
0.3 of 0.5. So
[tex]P(A \cap B) = 0.3*0.5 = 0.15[/tex]
Probability:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.4658} = 0.322[/tex]
0.322 = 32.2% probability that it came from the first urn
What is the place value of the 4 in 4.09?
Choose 1 answer:
(Choice A)
Tens
(Choice B)
Ones
(Choice C)
Tenths
(Choice D)
Hundredths
Answers
Answer:
B: Ones.
Step-by-step explanation:
Because this number is 4.09, and the decimal is right next to the 4, that means that it is in the ones place. Decimals are always adjacent on the right to the ones place.
Point E is the midpoint of AB and point F is the midpoint
of CD.
Which statements about the figure must be true? Select
three options.
AB is bisected by CD.
A
CD is bisected by AB.
DAE = 2 AB
СЕ
F
D
EF = LED
B
CE + EF = FD
Answers
The options are;
1) AB is bisected by CD
2) CD is bisected by AB
3) AE = 1/2 AB
4) EF = 1/2 ED
5) FD= EB
6) CE + EF = FD
Answer:
Options 1, 3 & 6 are correct
Step-by-step explanation:
We are told that Point E is the midpoint of AB. Thus, any line that passes through point E will bisect AB into two equal parts.
The only line passing through point E is line CD.
Thus, we can say that line AB is bisected by pine CD. - - - (1)
Also, since E is midpoint of Line AB, it means that;
AE = EB
Thus, AE = EB = ½AB - - - (2)
Also, we are told that F is the mid-point of CD.
Thus;
CF = FD
Point E lies between C and F.
Thus;
CE + EF = CF
Since CF =FD
Thus;
CE + EF = FD - - - (3)
The shaded region R in diagram below is enclosed by y-axis, y = x^2 - 1 and y = 3.
Determine the volume of the solid generated when the shaded region R is revolved
about x = -1 by using Disk method.
Answers
Cross sections of the volume are washers or annuli with outer radii x(y) + 1, where
y = x(y) ² - 1 ==> x(y) = √(y + 1)
and inner radii 1. The distance between the outermost edge of each shell to the axis of revolution is then 1 + √(y + 1), and the distance between the innermost edge of R on the y-axis to the axis of revolution is 1.
For each value of y in the interval [-1, 3], the corresponding cross section has an area of
π (1 + √(y + 1))² - π (1)² = π (2√(y + 1) + y + 1)
Then the volume of the solid is the integral of this area over [-1, 3]:
[tex]\displaystyle\int_{-1}^3\pi y\,\mathrm dy = \frac{\pi y^2}2\bigg|_{-1}^3 = \boxed{4\pi}[/tex]
[tex]\displaystyle\int_{-1}^3 \pi\left(2\sqrt{y+1}+y+1\right)\,\mathrm dy = \pi\left(\frac43(y+1)^{3/2}+\frac{y^2}2+y\right)\bigg|_{-1}^3 = \boxed{\frac{56\pi}3}[/tex]
This is the graph of y=x^2+2x-2 what is the range of this function
Answers
What is each of the four sections created by the intersecting lines called?
Answers
Answer:
Quadrants
Step-by-step explanation:
When two lines intersect such that they are perpendicular to each other, then quadrants are said to be formed. So that a given space would be divided into four quadrants when two perpendicular lines are drawn on it.
Each section which is called quadrant is at right angle to one another. So that the addition of their angles at the meeting point is the sum of four right angles i.e [tex]360^{o}[/tex]. Thus each of the four sections created by the intersecting lines is called a quadrant.
NEED ANSWER QUICK
Timmy and Tommy are two boys whose ages add up to 23. Timmy is 5
years older than Tommy. How old are they?
Answers
Then we can conclude that age of Tommy is =
(23 -x) yrs.
Now we know that Timmy is 5 years older than Tommy, therefore,
x = 5 + (23-x)
x = 5 + 23 - x
x + x = 28
2x = 28
x = 28/2
x = 14 Answer. (Age of Timmy)
So, the age of Tommy is 23 - x = 23 - 14 = 9 yrs.
Answer:
Tommy's age is 9 years old.
Timmy's age is 14 years old.
Step-by-step explanation:
Take Tommy's age to be x and Timmy's age to be x+5
x+x+5=23
2x+5=23
2x=23-5=18
x=18÷2=9
x+5=9+5=14
A test taker gets 70 on 1st exam, 80 on 2nd exam, 2/3 of 4/5 of his 2nd exam on his 3rd test. If the professor gives 5 points extra credit on his 4th exam and his average score is 80, what was his score on the 4th exam
Answers
=================================================
Explanation:
The phrasing "2/3 of 4/5 of his 2nd exam on his 3rd test" is a bit clunky in my opinion. It seems more complicated than it has to be.
The student got 80 on the second exam. 4/5 of this is (4/5)*80 = 0.8*80 = 64. Then we take 2/3 of this to get (2/3)*64 = 42.667 approximately. If we assume only whole number scores are given, then this would round to 43.
Let x be the score on the fourth exam. Since 5 points of extra credit are given, the student actually got x+5 points on this exam.
So we have these scores
first exam = 70second exam = 80third exam = 43fourth exam = x+5Adding up these scores and dividing by 4 will get us the average
(sum of scores)/(number of scores) = average
(70+80+43+x+5)/4 = 80
(x+198)/4 = 80
x+198 = 4*80
x+198 = 320
x = 320 - 198
x = 122
So the student got a score of x+5 = 122+5 = 127 on the fourth exam.
3 folders cost \$2.91, 2, point, 91. Which equation would help determine the cost of 22 folders? Choose 1 answer:
Answers
Answer:
Step-by-step explanation:
3=$2.91
22=x
3x=64.02
x=21.34
In the diagram, WZ=StartRoot 26 EndRoot.
On a coordinate plane, parallelogram W X Y Z is shown. Point W is at (negative 2, 4), point X is at (2, 4), point Y is at (1, negative 1), and point Z is at (negative 3, negative 1).
What is the perimeter of parallelogram WXYZ?
units
units
units
units
Answers
Answer:
[tex]P = 8 + 2\sqrt{26}[/tex]
Step-by-step explanation:
Given
[tex]W = (-2, 4)[/tex]
[tex]X = (2, 4)[/tex]
[tex]Y = (1, -1)[/tex]
[tex]Z = (-3,-1)[/tex]
Required
The perimeter
First, calculate the distance between each point using:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 -y_2)^2[/tex]
So, we have:
[tex]WX = \sqrt{(-2- 2)^2 + (4-4)^2 } =4[/tex]
[tex]XY = \sqrt{(2- 1)^2 + (4--1)^2 } =\sqrt{26}[/tex]
[tex]YZ = \sqrt{(1- -3)^2 + (-1--1)^2 } =4[/tex]
[tex]ZW = \sqrt{(-3--2)^2 + (-1-4)^2 } =\sqrt{26}[/tex]
So, the perimeter (P) is:
[tex]P = 4 + \sqrt{26} + 4 + \sqrt{26}[/tex]
[tex]P = 8 + 2\sqrt{26}[/tex]
Answer:
its D.
Step-by-step explanation:
took test
a drum has a diameter of 10 inches. find the area of the top of the drum. use 3.14 for pi.
.
.
.
Please show to work too. Thank you.
Answers
Answer:
My answer is 78.55
Step-by-step explanation:
I've given the steps. Hope it really helps
Answer: 78.5 inches
Step-by-step explanation:
Area = Pi x r x r
Diameter = 10 in
Radius = 5 in
314/100 x 5 x 5 = 314/4
314/4 = 78.5
= 78.5 inches
the poultry farmer decided to make his own chicken scratch by combining alfalfa and corn in rail car quantities.A rail car of corn costs $400 and a rail car of alfalfa costs $200. The farmer's chickens have a minimum daily requirement of vitamin K (500 milligrams) and iron (400 milligrams), but it doesn't matter whether those elements come from corn, alfalfa, or some other grain. A unit of corn contains 150 milligrams of vitamin K and 75 milligrams of iron. A unit of alfalfa contains 250 milligrams of vitamin K and 50 milligrams of iron.Formulate the linear programming model for this situation.
Answers
Answer:
- Min Z = $400C + $200A
Step-by-step explanation:
The linear programming model deals with the minimization or maximization of a linear function of several variables and inequalities. This method assists the industries in minimizing costs and maximizing production.
In the given situation,
The Linear programming model would be:
Min Z = $400C + $200 A
which is based on:
150 mg of vitamin K in corn C + 250 mg of vitamin K in AlfaAlfa ≥ 500
75 mg of iron in Corn + 50 mg of iron in AlfaAlfa ≥ 400
∵ C, A ≥ 0
Thus, the equation would be,
Min Z = $400C + $200 A
What are the domain and range of the function represented by the set of
ordered pairs?
{(-16, 0), (-8, -11), (0, 12), (12,4)}
Answers
Answer:
domain:-16,-8,0,12
range:0,-11,12,14
