The size of each exterior angle in a regular polygon is 15°. Work out how many sides the polygon has.
f(x) and g(x) below, find the value of (fog)(-8).
f(x) = 3x²-3x - 8
g(x) = -x - 7
Therefore , the solution of the given problem of function comes out to be fog(-8)= 622.
Function: A DefinitionA function is a relationship between a collection of sources or one product for each input. Simply described, a function is a group of equations linked to a single, distinct output. A declaration, rule, or law that specifies the relationship between two variables is known as a function in mathematics (the dependent variable). When a rules of this kind is employed, there is just one output. by photographer Alex Federspiel. This sentence provides a y=x2 example. Any input for x has only one output for y. Since x is indeed the input value, y is, by definition, a function of x.
Here,
Given :
f(x) = 3x²-3x - 8
g(x) = -x - 7
To find : fog)(-8)= ?
Thus,
We find
=> F(g(x)) => 3g(x)² -3g(x) - 8
=> f(-x-7) =3⋅(-x-7)²-3⋅(-x-7)-8
At x =-8
=> 3(-8-7)² - 3(-8-7)-8
=> 3(225)-3(15) -8
=> 675 - 45 -8
=> 622
Therefore , the solution of the given problem of function comes out to be fog(-8)= 622.
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pls help ASAP what do I put in the box (question is in screenchot)
Answer:
where is the question????
Answer:
where
Step-by-step explanation:
The table shows the linear relationship between x, the altitude in feet, and y, the boiling point of water in degrees Fahrenheit.
What are the slope and y-intercept of the line that models this situation? I
The slope and the y-intercept of the given data table will be option A) Slope= -0.0018, y-intercept = 212
The y-intercept of any linear equation is the point at which the line or the curve intersects the vertical i.e the Y- axis.
To find this intercept, the value of x is taken to be 0 in the model, since on the Y-axis, the value of x is 0.
Here from the given table, we need to check the boiling point or the value of Y for which the value of the altitude or the x value is 0
Hence we get the y-intercept as 212° F.
Now, the formula for slope
= change in y/ change in x
here we will take any two data rows and divide the difference in boiling points by the difference in altitudes.
Taking the first 2 rows gives us
Slope = -0.9/500
= -0.0018
Hence we choose option A) Slope = -0.0018, y-intercept = 212
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Complete Question
The table shows the linear relationship between x, the altitude in feet, and y, the boiling point of water in degrees Fahrenheit. What are the slope and y-intercept of the line that models this situation?
A. Slope= -0.0018, y-intercept = 212
B. Slope= 0.0018, y-intercept =-212
C. Slope =212, y- intercept= 0.0018
D. Slope=-212, y-intercept = 0.0018
help me pls !!!!!!!!!!
Answer:
c and d
Step-by-step explanation:
What is another name for angle 1?
∠JNL
∠N
∠MNK
∠NLJ
Answer: JNL
Step-by-step explanation: We can give angle 1 another name by using 3 letters which include the letter of the vertex point in the middle, and two other letters of the two rays that meet at the vertex point.
For each graph, determine whether x and y are proportional.
If r and y are proportional, fill in the blank with a number in simplest form.
Graph 1
Graph 2
Graph 3
HELP PLEASE
Write the expression in expanded notation for (-3 power of 5)
Step-by-step explanation:
A. Base = (-3)
B. Exponent = 5
C. (-3)^5
= (-3) × (-3) × (-3) × (-3) × (-3) (In expanded notation form)
D. Evaluation of equation will be = -243
Sara put her dog on a diet and kept track of his weight. At the end of 4 weeks,
she recorded her dog's weight change as -3 1/2 pounds. She noticed her dog lost
the same amount of weight each week. What is the dog's weight change each
week of the diet?
Answer:
Weight change per week = -0.875 or -7/8
Step-by-step explanation:
Sara recorded her dog's weight change as -3.5 pounds after 4 weeks of dieting. We know the weight loss is consistent each week, so we need to find out how much the dog loses in one week.
To find out the weight change per week, we can use the formula:
Weight change per week = Total weight change / Total number of weeks
Plugging in the known values:
Weight change per week = -3.5 / 4
Weight change per week = -0.875
The dog loses 0.875 pounds each week.
or -0.875 pounds is the weekly weight change of the dog during the dieting period.
which function is equal to -1/2?
GIVE THIS ANSWER FAST I WILL GIVE BRAINLIEST
Q IF 2X^3+AX^2-BX-15 HAS 2X+3 AS A FACTOR AND LEAVES A REMAINDER -5 WHEN DIVIDED BY(X-1),FIND THE VALUES OF A AND B
Answer:
could you just give the
Step-by-step explanation:
equation so I could try to solve it
Jack split 25 jellybeans between his brother and himself so that his brother has one more than twice the number Jack has. How many jellybeans does each have?
Answer:
Jack has 8 and his brother has 17
Step-by-step explanation:
j = # jack has
b = # brother has
j + b = 25
b = 1 + 2j (brother has one more than twice the amount jack has)
j + 1 + 2j = 25
3j = 24
j = 8
b = 25-8 or 17
simplify (2√2+3√5) square 2
Answer:
The answer is 22.4
how many 1/4 are in 6
Answer:
24
Step-by-step explanation:
To answer this you simply need to divide 6 by 1/4
or
6÷1/4
which is also equivalent to 6*4
this will get you 24
8. Which of the following expressions is a factored form
expression 3x
2 − 10x − 8 ?
a. (3x-4)(x+2)
b. (3x-2)(x-4)
c. (3x-2)(x+4)
d. (3x+2)(x-4)
e. (3x+4)(x+2)
Answer:
D
Step-by-step explanation:
(3x+2)(x-4)
3x^2-12x+2x-8
3x^2-10x-8=0
Question content area top Part 1 Without using paper and pencil, how would you find the sum of 8.8 and 5.5 and ?
The sum of 8.8 and 5.5 is 14.3
What is addition?Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.
To find the sum of 8.8 and 5.5 without using pen and pencil:
First, we break the term in simple manner.
8.8 = 8 + 0.3 + 0.5
And 5.5 = 5 + 0.5
And now adding the terms one by one,
0.5 + 0.5 = 1.0
0.3 = 0.3
8 + 5 = 13
Addition,
13 + 1 + 0.3 = 14.3
Therefore, the value is 14.3
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What’s the equation to find angles in a parallelogram
HELP ME HELP ME PLEASEEEE I NEED QUICK
Answer:
<ABC and <CB both add up to 90 degrees and fit in the angle <ABD so they could be 45 degrees, or one could be 20 degrees while the other is 70, they just have to add up to 90 degrees
Step-by-step explanation:
A taste test asks people from Texas and California which pasta they prefer brand A or brand B. This table shows the results. Brand A Brand B Total 125 150 105 275 45 Texas California Total 80 90 170 60 A person is randomly selected from those tested. What is the probability that the person is from California, given that the person prefers brand A? Round your answer to two decimal places
Therefore , the solution of the given problem of probability comes out to be thus brand A is more prefer by the person as probability of B IS 0.43.
Define probability.A probability is a number that represents the likelihood that a certain event will occur. Probabilities may be expressed as percentages
range from 0% to 100% or from 0 to 1.
Here,
Given :
Which brand of pasta do Texas and California prefer
Because brand B is preferred by 45 persons in Texas, the answer would be A.
There are 105 persons that favor brand B overall.
=> 45/105
=> 15/ 35
=> 0.42857...
So ,
rounded it would be 0.43,
thus brand A is more prefer by the person
Therefore , the solution of the given problem of probability comes out to be thus brand A is more prefer by the person as probability of B IS 0.43.
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how to get the Y intercept when you don't have a 0 X coordinate?
Answer: You plug in y as 0 into your equation.
Step-by-step explanation:
Do the above thing OK.
Find the volume of a cone
Answer:
96π or 301.59 in³
Step-by-step explanation:
V(cone) = 1/3πr²h
= 1/3·π·6²·8
= 96π or 301.59
Answer:
301.58
Step-by-step explanation:
Question 3
Determine if this statement is always, sometimes, or never true.
If a < 0, then |a| = -a
Answer:
the answer is neither
Step-by-step explanation:
An integer is a whole number that can be either greater than 0, called positive, or less than 0, called negative. Zero is neither positive nor negative. Two integers that are the same distance from the origin in opposite directions are called opposites.
In a television survey, 4 out of 5 people liked comedy shows more than reality shows. If 6,000 people were surveyed, how many people preferred comedy shows?
Answer:
4,800
Step-by-step explanation:
6,000/5
1,200x4
4,800
A line passes through 3,1 and 0,-3 whats the equation
Answer:
y=(this is a fraction) 4/3 times x-3
Step-by-step explanation:
2) The length of the road is 600 miles. If 1 inch represents 30 miles, what is the
length of the road?
Answer:
Are you asking for it from miles to inches?
If so it would be 20
Step-by-step explanation:
600/30=20
Hope this helps <3
Answer:I think it would be 20 inches that is if your supposed to do 600÷30
Step-by-step explanation:uhh I hope this is right good luck tho
Can someone solve this rational equation and plz don’t link files
r=13/2
After I solved it it was kinda easy
Answer:
r=13/2
Step-by-step explanation:
please help! i've tried to solve it but not getting the right answer
Answer:
Sorry I don't know this one, I got 5.32
Step-by-step explanation:
Write and solve an equation to find what fraction of the student f voted for fruit juice or water
If [tex]\frac{1}{4}[/tex] of fruit punch is pineapple juice. About [tex]\frac{1}{6}[/tex] of the fruit punch is orange juice, then fraction of punch that is pineapple juice or orange juice is [tex]\frac{5}{12}[/tex] .
The fraction of pineapple juice in fruit punch is = [tex]\frac{1}{4}[/tex] ;
the fraction of orange juice in fruit punch is = [tex]\frac{1}{6}[/tex] ;
the equation that can be used to find the fraction of fruit punch that is pineapple juice or orange juice is
⇒ [tex]Frcation Of (Pinapple Juice +Orange Juice)[/tex]
substituting the values ,
we get the equation as ;
⇒ [tex]\frac{1}{4} +\frac{1}{6}[/tex]
taking LCM as 4 and 6 as 12 and solving further ,
we get ;
⇒ [tex]\frac{3}{12} +\frac{2}{12}[/tex] ; = [tex]\frac{5}{12}[/tex] .
Therefore , the fraction of fruit punch that is pineapple juice or orange juice is [tex]\frac{5}{12}[/tex] .
The given question is incomplete , the complete question is
About 1/4 of fruit punch is pineapple juice. About 1/6 of the fruit punch is orange juice. Write and solve an equation to find the fraction of the punch that is pineapple juice or orange juice .
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What is the slope of the line?
Answer:
4
Step-by-step explanation:
slope, m = (y₂ - y₁)/(x₂ - x₁)
plug in the values, and we get m = (3 - (-1))/((3 - 2) = 4
As x increases by 1, y increases by 4.
-1
Step-by-step explanation:
The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
Need help ASAP! due soon
Answer:
y= 2x
Step-by-step explanation:
no y cause the y-intercept is 0, so just y=2x
and i got 2 from dividing 24/12 and 48/24 giving me the x.
Answer:
Step-by-step explanation:
Two points on this line are (36, 72) and (0, 0). These are 'nice' points in that they are exactly at the intersection of grid lines.
The slope can be found immediately from (36, 72) if the other point is (0, 0):
m = rise / run = 72/36 = 2
Adapting the slope-intercept formula y = mx + b, and using the point (0, 0), we get 0 = 2(0) + b, which tells us that b = 0. Then the equation of the line in this graph is y = 2x.