The graphs of the 3 given functions can be seen in the image attached at the end.
How to mark all the wanted points?
Here we basically want to graph the next 3 functions:
y = x + 3
y = -x + 3
y = |x| + 3
So, the first two are linear equations. To graph these we just need to find two points on the line and connect them with a line.
The last one is the absolute value function translated up by 3 units.
So, to give an example of how to graph the first equation, first we evalaute in x = 0, then we get:
y = 0 + 3 = 3
So we have the point (0, 3)
For that same line we can evaluate in x = 1
y = 1 + 3 = 4
Then we also have the point (1, 4).
Now we have 2 points, we can just connect them with a line.
The graph of the 3 equations can be seen below.
A is the blue line, B is the red line, C is the orange graph.
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Of the marbles in a bag, 3 are yellow, 2 are red, and 2 are blue. Sandra will randomly choose one marble from the bag.The probability that Sandra will choose a blue marble at random is . It is that Sandra will randomly choose a blue marble.
Answer:
2/7 or 29%
Step-by-step explanation:
you add all the numbers than you put the blue marble on top and there it is.
Answer:
2/7
Step-by-step explanation:
Hello there.
1. First, you would add all the numbers up to get the total.
3 + 2 + 2 = 7 total marbles
2. Of those 7 marbles, 2 are blue. This would be 2/7 in fraction form.
Hence, there is a 2 in 7 chance that Sandra will choose a blue marble from the bag.
Hope this helps.
- Angelo
Which graph represents 3x - 2y > 4?
Answer:
It should somewhat look like the graph below...
Hope it helps!
26 × (-5 + 3)= step by step
Hello ~
My name is lrxdscent, and I will be answering your question today! :D
Let's go by step-by-step ~
→ Answer :-[tex]\sf{= -52x}[/tex]
→ Explanation :-[tex]\sf{26x \: (-5 \: + \: 3)[/tex]
[tex]\sf{Add \: the \: numbers: \: -5 \: + \: 3 = -2}[/tex]
[tex]\sf{= 26x \: (-2)[/tex]
[tex]\sf{Multiply \: the \: numbers: \: 26 \: (-2) \: = \: -52}[/tex]
[tex]\sf{= -52x}[/tex]
Hope It Helps! ~
~ Learn With Lrxdscent ~
[tex]\underline{Answer :}[/tex]
ɪ ʀ x ᴅ ꜱ ᴄ ᴇ ɴ ᴛ
A small tank has a cylindrical shape. It has a radius of 15 inches and a height of 48 inches. A can of spray paint will cover 720 square inches. How many cans of paint must be bought to completely cover the tank with one coat of paint?
HELP FAST WILL GIVE LOTS OF POINTS
Answer:
c) 9
Step-by-step explanation:
[tex]\textsf{Surface area of a cylinder}=2\pi r^2+2\pi rh[/tex]
(where r is the radius and h is the height)
Given:
r = 15 inh = 48 inSubstitute given values into the equation to find the surface area:
[tex]\begin{aligned}\implies \textsf{Surface area} & =2\pi (15)^2+2\pi (15)(48)\\ & =1890 \pi\: \sf in^2\end{aligned}[/tex]
To calculate the number of cans of paint to be bought, divide the surface area by the area one can of paint will cover:
[tex]\implies \dfrac{1890 \pi}{720}=8.246680716...[/tex]
We need to round this number up, as rounding down will mean we will not have quite enough paint to cover the surface area of the cylinder.
Therefore, the numnber of cans of paint that must be bought to completely cover the tank with one coat of paint is 9.
How do I draw the circle correctly to solve the problem?
Answer:
2/4NStep-by-step explanation:
I don't know if it's correct
-6/10-2/10 simply this equation
Answer: hii
The Answer is = -4/5
Step-by-step explanation:
Combine the fractions by finding a common denominator.
Hopefully this helps you
- Matthew
What is the value of y in the relative frequency table? round the answer to the nearest percent. 12% 27% 46% 52%
The relative frequency table is a two way table, and the value of y in the relative frequency table is 27%
How to determine the value of y?From the complete question, we have the following row
y 24% 51%
Express the row as an equation
y + 24% = 51%
Subtract 24% from both sides
y + 24% - 24%= 51% - 24%
Evaluate the difference
y = 27%
Hence, the value of y in the relative frequency table is 27%
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Simplify the expression:
10x+10x2+2x
Answer:
[tex]10x + 10x^{2} + 2x\\= 10x + 2x + 10x^{2}\\= 12x + 10x^{2}\\= \boxed{2x(6 + 5x)}[/tex]
Given Expression,
10x + 10x² + 2xWe can also write it as,
10x² + 10x + 2xNow, Combining the like terms,
The like terms are 10x and 2x so,10x² + 12xWe simplified the expression.
If you want it to factorise it,
⇒10x² + 12x
⇒ 2x(5x + 6)
This is required factorised expression
True or False
A solution to 8 = -x + 10 is 2
Answer:
[tex]\huge\underline{Answer - }[/tex]
[tex]\bold{8 = - x + 10} \\ \\ \bold{\implies \: - x = 8 - 10} \\ \\ \bold{\implies \: \cancel - x = \cancel - 2 }\\ \\ \bold{\implies x\: = 2}[/tex]
hence , the given statement is true !
hope helpful ~
Answer:
TrueStep-by-step explanation:
So, Lets find out if the solution is true or not, So first let us find the value of x.
⇒ 8 = -x + 10
We can rewrite the equation as,
⇒ -x + 10 = 8
Subtracting 10 from both sides we get :
⇒ -x + 10 – 10 = 8 – 10
⇒ -x = -2
Multiplying both sides by (-1) :
⇒ -1(-x) = -1(-2)
⇒ x = 2
Therefore,
The statement "A solution to 8 = -x + 10 is 2" is trueAlanna is painting a border along the top of a wall. the border consists of kite-shaped figures as shown. 3 kites are connected at 1 point. each kite measures 6 inches across and 12 inches long. the wall is 12 feet across. how many square inches of the wall will be covered with kites? 216 432 864 1,728
If each kite measures 6 inches across and 12 inches long. The square inches of the wall will be: 864 square inches.
Square inches of the wal
Diagonals= d1 and d2
First step
Area =(1/2)×(d1×d2)
Area=(1/2)×(6×12)
Area =36 in²
Second step
1 feet = 12 inches
12 feet = 12×12
12 feet = 144 in
Third step
Number of square inches=(144/6)×36
Number of square inches=24×36
Number of square inches= 864 square inches
Therefore the square inches of the wall will be: 864 square inches.
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Answer:
C
Step-by-step explanation:
A rectangle is 4 times as long as it is wide. If the area of the rectangle is 1600cm^2, what are the dimensions?
Answer:
dimensions 20cm x80cm
Step-by-step explanation:
length is 4W of 1W,
LxW=area of 1600
4W x 1W = 1600cm2
divide both by 4 to isolate W
W=400cm2
square root of 400=20
replace W with 20 into equation 4Wx1W
4x20=80
1x20=20
80 is 4x the width of 20
The difference of two numbers is 5 and the difference of the reciprocals is 1 /10 find the numbers. Use quadratic equations
Please answer it properly with steps.....
Answer:
Refer to the 2 attachments .
____
Hope it helps ⚜
Please help<3 due in 30 mins !!!!!!!!
Answer and Explanation:
Sara's sample is biased, she's only taking people that naturally would pull out their phones as they are waiting for a bus to arrive.
Sara's claim is not valid, the sample is too small and biased to be applied to her whole town.
please help me !!!!!!!!
Answer:
the fourth option
Step-by-step explanation:
due to the range and median the range is 4 to 17 and the median is 10
is 63/20 equivalent to 4/9 divided by 5/7
Answer:
No
Step-by-step explanation:
4/9 divided by 5/7 is equal to 4/9 * 7/5 = 28/45. We can see that 63/20 is not equivalent to 28/45 as 28/45 is less than one and 63/20 is greater than one.
A softball has a volume of 125/6 pie cubic inches. Find the radius of the softball
The radius of the softball is 2.5 inches
The volume of a sphere is given by
V = 4/3 pi r^3
We know the volume is 125/6 pi
Substituting in
125/6 pi = 4/3 pi r^3
Divide by pi on each side
125/6 pi/ pi = 4/3 pi/ pi r^3
125/6 = 4/3 r^3
Multiply by 3/4 on each side to isolate r
125/6 * 3/4 = 3/4 *4/3 r^3
125/8 = r^3
Take the cube root on each side
(125/8) ^ 1/3 = (r^3) ^ 1/3
5/2 = r
2.5 =r
The radius of the softball is 2.5 inches
Answer:
[tex]\huge\boxed{\sf r = 2.5 \ in.}[/tex]
Step-by-step explanation:
[tex]\sf Volume \ of \ sphere = \frac{4}{3} \pi r^3\\\\Where \ volume = \frac{125 \pi }{6 } \ in.^3\\\\Put \ in \ the \ above\ formula:\\\\\frac{125 \pi}{6} = \frac{4}{3} \pi r^3\\\\Cancel \ pi\\\\\frac{125}{6} = \frac{4}{3} r^3\\\\20.83 = 1.33 r^3\\\\Divide \ 1.33 \ to \ both \ sides\\\\20.83/1.33 = r^3\\\\15.625 =r^3\\\\Take \ cube \ root \ on \ both \ sides\\\\\sqrt[3]{15.625} = \sqrt[3]{r} \\\\2.5 = r\\\\[/tex]
[tex]\sf r = 2.5 \ in.\\\\\rule[225]{225}{2}[/tex]
I don't understand how to do this section of this worksheet. Can someone help me understand how to get the answer? I have a test tomorrow and I can't fail it.
Answer:
see explanation
Step-by-step explanation:
There are 4 sections on the spinner so each option is 1/4
1) 4 Ds = 1/4 × 1/4 × 1/4 × 1/4 × 3/4 × 3/4 = 9/4096
the other two spins can be A, B, or C (3/4)
2) 2As = 1/4 × 1/4 × 3/4 × 3/4 × 3/4 × 3/4
the other two spins can be B, C, or D (3/4)
3) 2As = 1/4 × 1/4 = 1/16 OR means add
3Bs = 1/4 × 1/4 × 1/4 = 1/64
1/16 + 1/64 = 5/64
4) at least 4 Cs = 1/4 × 1/4 × 1/4 × 1/4 =1/256
(x-2y)^5 using pascal triangle
Step-by-step explanation:
I edit this on computer, because I have class later
what is the y-value of the solution to the system of equations shown below? 5x+4y=12 -5x-2y=-16
A. -4
B. -2
C. 2
D. 4
Answer:
B. -2
Step-by-step explanation:
Tonja is a married taxpayer who claims 2 withholding allowances. She earns
$600 per week, and pays $150 per week in childcare expenses. How much will
she save in federal income and FICA taxes if she has her childcare expenses
deducted from her check before taxes?
The amount that Tonja will save in Federal Income and FICA Taxes if she has her childcare expenses deducted from her check before taxes is: $26.17
What is Federal Income Tax?Federal Income Tax is a tax that is levied by the Federal Government and most states in the United States of America. It comprises of 7 tax rates.
What is FICA Tax?FICA Tax is a Federal Insurance Contributions Act Tax. This tax is levied on every payroll of employees to fund Social Security and Medicare programs. This is divided into two parts:
How to calculate Tonja's Tax before deduction
Federal Tax rate first level is 10% on 0$ - $19,900.
1) Hence, the first tax is 10% on $600, which is $60
2) The next tax is FICA. This is applied to the Gross Pay of $600.
Applying both taxed under FICA we have 7.65% * $600 = $45.9
Total Tax before a deduction is:
$60 + $45.9 = $105.6
The Tax Payable if childcare expenses is deducted first will be:
10% on $450 = $45
7.65% on $450 = $34.43
Total = $79.43
Hence the tax savings will be:
105.6 - 79.43 = $26.17
Learn more about FICA Tax at:
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7 * as much as the sum of1/3+ 4/5
Answer:
First you add 1/3 and 4/5
To add 2 fractions, they need to have the same denominator. Since 3 and 5 don't have a common factor, so you multiply 1/3 by 5, and 4/5 by 3, so you get: 5/15 +12/15
Now, the two fractions got the same denominator, and you can add them by adding the numerators over the same denominator. (You don't add denominators in addition) so you get:
5+12/15 which is 17/15
That's the sum of 1/3 + 4/5.
Now, they want the sum of the 2 fractions 7 times. So you multiply 17/15 by 7. And as you know, 7 = 7/1. So you get:
In multiplication no need to have the same denominator. You multiply nominators by nominators and denominators by denominators. So you get:
17*7/15*1 and you get 119/5
Since 119 and 15 don't have a common factor, so they can't be simplified.
So, the answer is 119/15.
A dance studio teaches students a contemporary dance form. it is observed that the probability of students from this studio becoming dance teachers is 0.69. an event management company wants to use this studio for a show. they decide to observe it for a year before making the deal. they enroll 120 students of their own in this studio and decide that once 75 of them get jobs as dance teachers, they will sign the contract with them. what is the probability that the event management company will sign the contract with the dance studio? a. 0.076 b. 0.053 c. 0.024 d. 0.924 e. 0.947
The probability that the event management company will sign the contract with the dance studio is; c. 0.024
How to solve binomial probability?The general formula for binomial Probability is;
P(X = x) = ⁿCₓ * pˣ * (1 - p)⁽ⁿ ⁻ ˣ⁾
From the question, we want to find;
P(X = 75)
where;
Sample size; n = 120 and probability of success; p = 0.69
Thus, we have;
P(X = 75) = ¹²⁰C₇₅ * 0.69⁷⁵ * (1 - 0.69)⁽¹²⁰ ⁻ ⁷⁵⁾
P(X = 75) = 0.024
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Please help!! Will mark brainlyest.
Answer:
(-7,-3)
Step-by-step explanation:
explained in graph :)
Scientific knowledge allows new technologies to be built, and those technologies, in turn, impact society at many levels.
options:
True
False
Answer:
true
Step-by-step explanation:
who can please do my math iready!!!! im level E pls i need help. i don’t understand it.
Answer:
sure
Step-by-step explanation:
7x+42 what is x
please i need help
Answer:
x = 6
Step-by-step explanation:
7x = 42
Divide both sides by 7
x = 6
Answer: 49x I am pretty sure
Step-by-step explanation: you take 7 + 42= 49 then you put the x there
Then your answer should be correct please dont be mad if its not correct!!
The interior of a building is in the form of cylinder of diameter 10m and height 8m, surmounted by a cone whose vertical angle is a right angle.
Then what will be the area of the surface and the volume of the building?
Answer:
Surface Area = 399.4 m²Volume = 1675.5 m³Step-by-step explanation:
Lateral Surface Area of the Cylindrical Part
2πrh2 x π x 5 x 880 x π251.3 m²Slant height of cone
√r² + h²√25 + 64√899.43 mSurface Area of Conical Portion
πrlπ x 5 x 9.4347.15 x π148.1 m²Total Surface Area :
251.3 + 148.1399.4 m²Volume
V = πr²h + 1/3πr²hV = πr²h (1 + 1/3)V = π x 25 x 8 x (4/3)V = π x 1600/3V = 1675.5 m³Hope it helps.
If you have any query, feel free to ask.
The distance formula will be a key component in this unit.
O True
O False
Solve this quadratic equation using the quadratic formula.
3x 2 + 5x + 1 = 0
Solution
x=\frac{-5 \pm \sqrt{13}}{6}
Consider the diagram. Solve for m.
Answer:
m = 39°
Step-by-step explanation:
The useful relations here are ...
the sum of angles in a triangle is 180°inscribed angles subtending the same arc have the same measure.__
Angle ACB subtends the same arc (AB) as angle ADB, so has the same measure, 36°. Then the sum of angles in triangle ACB is ...
33° +36° +72° +m = 180°
m = 180° -141° = 39°