Answer:
C) (-4, 4]
General Formulas and Concepts:
Algebra I
Range is the set of y-values that are outputted by function f(x)Step-by-step explanation:
From the graph we see that our y-values span from -4 to 4. When y = -4, it is a open dot, meaning it is exclusive. When y = 4, it is a closed dot, meaning it is inclusive. Therefore, our range is:
(-4, 4] or -4 < y ≤ 4
Answer:
-4,4
Step-by-step explanation:
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Solve for x: 2x − 2 > 4x + 6. (5 points)
x −4
x 4
Answer:
x < - 4
Step-by-step explanation:
Given
2x - 2 > 4x + 6 ( subtract 2x from both sides )
- 2 > 2x + 6 ( subtract 6 from both sides )
- 8 > 2x ( divide both sides by 2 )
- 4 > x , thus
x < - 4
6.) Find all zeros (real and complex) of the same function
f(x) = x4 – x3 - 5x2 - x - 6
Kendra washes windows in an office building. She washes 25 2 5 of the windows on Monday. She washes 13 1 3 of the windows on Tuesday. What fraction of the windows remain for Kendra to wash?
I think you mean 2/5 and not 25 for Monday and 1/3 and not 13 on Tuesday. So i will solve with the fraction.
Answer: The fraction of the windows remaining for Kendra to wash=4/15
Step-by-step explanation:
Step 1
The fraction of windows washed on Monday = 2/5
The fraction of windows washed on Tuesday= 1/3
Fraction remaining to be washed = Total windows - Fraction already washed
Step 255
Fraction already washed=2/5 + 1/3 =6+ 5/15 = 11/15
The total numbers of windows in the office will be represented as 1 whole number since we are dealing with fractions such that the
Fraction remaining to be washed = 1- Fraction already washed
= 1- 11/15 = 15/15-11/15= 4/15
Answer:
Step-by-step explanation:
In 2004 pin header Marie walk 680 miles to the south pole the trip took 58 days suppose they travel the same distance each day write and solve a multiplication equation to find how many miles they travel each day to the nearest whole number
Answer: 12 miles
Step-by-step explanation:
From the question, we are informed that Marie walk 680 miles to the south pole and that the trip took 58 days and they travel the same distance each day.
The number of miles that they travel each day to the nearest whole number will be gotten by dividing 680 miles by 58. This will be:
= 680 miles / 58
= 11.72
= 12 miles to nearest whole number.
Video Games With an initial cost of $ 5000, a company will produce x units of a video game at $ 25 per unit. Write an equation that relates the total cost of producing x units to the number of units produced. Plot the cost of producing 100, 150, 200, 250, and 300 units.
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Fixed costs= $5,000
Unitary variable cost= $25
First, we need to structure the total cost formula:
Total cost= fixed costs + unitary cost*number of units
Total cost= 5,000 + 25*x
x= number of units
For 100:
Total cost= 5,000 + 25*100= $7,500
For 150:
Total cost= 5,000 + 25*150= $8,750
For 200:
Total cost= 5,000 + 25*200= $10,00
For 250:
Total cost= 5,000 + 25*250= $11,250
For 300:
Total cost= 5,000 + 25*300= $12,500
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Jenny earned 110 of a possible 148 points on a test. She lost 2 points for each incorrect answer. How many incorrect answers did she have?
Answer: She had 19 incorrect answers
Step-by-step explanation:
n = number of incorrect answers at 4 points per answer
110 = 148 - 2n
Solve for n
n = (148 - 110)/2 = 19
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Answer:
35
Step-by-step explanation:
if GFL = 34 and GEL = 36 FLG would be 35
What’s the answer to this?
Answer:
A
Step-by-step explanation:
Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.
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Samuel earns $5 per hour plus 65% commission on all his sales. If y represents
his sales for one day, which expression represents Samuel’s total earnings for a
day when he worked 6 hours?
A. 5(6) + 65y
B. 5(65) + 6y
C. 5(6) + 0.65y
D. 5(6) + 1.65y
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A line passes through the points (-4,4) and (-9,2)
Answer:
y=2/5x+28/5
Step-by-step explanation:
Average speed can be represented by the mathematical expression
1. distance divided by time
2. distance x time
3. time - distance
4. time + distance
1. You make a long distance telephone call. The rate is $.10 for each minute. The total cost
of the call is $5.00. How long was the call? Check to see if your solution is reasonable.
The time which takes the call is $5.00 with the given ratio is 50 minutes.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Given that,
$0.10 for 1 minute
The ratio of time to cost = 1/0.10 = 10
Let's say the time taken in $5 is x minutes
The ratio of time to cost = x/5
x/5=10
x = 50 minutes
Hence "The time which takes the call is $5.00 with the given ratio is 50 minutes".
For more information about ratios and proportions,
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I need help any help is appreciated please
Answer:
third option both cost the same after 2 months
How can you tell, without multiplying, if the product of three or more integers will be positive or negative?
Answer:
divide, or write and equation and solve it
Step-by-step explanation:
I need help please #23
Answer:
24
Step-by-step explanation:
8%=8/100
& 8/100 of 60=4.8 ( "of" in mathematic means "multiply")
check if you get 4.8 by multiplying each of the given options by 1/5
1/5 0f 24=4.8
So 24 will be the ans
please help 10 points
Answer:
A: answer is 0 because anything to the power of 0 is 1
B: 0 or 1 because 1 to the power of 1 is 1 and 1 to the power of 0 is also 1
1.) What is the maximum number of zeros for the following function
f(x) = x - 2x2 - 11x + 12
Answer:
-14x+12
Step-by-step explanation
f(x)=-14
What is the imagine point of (-1,-5) after a translation left 1 unit and up 4 units?
Answer:
-2, -1
Step-by-step explanation:
So moving left would affect the x-axis.
Left would move it to the negatives so -1 - 1 = -2.
Moving up would affect the y-axis.
Up would move towards the positive so -5 + 4 = -1.
-2, -1
Find the slope of a line with a y-intercept of -5 that goes through the point (12,3).
Formula: y=mx+b
Marcella and Juan are baking brownies. The recipe lists
2/3 cup of flour. They
only have 2/3
cup of flour left.
How many more cups of flour do they need to
bake the brownies?
Answer:
0
Step-by-step explanation:
2/3 - 2/3 = 0/3 = 0
$50 toolset; 10% markup
Answer:
10% of 50 is 5 dollars up, so will be $55
Expand and simplify
1: (2 ) a) 9( 3 – 10n ) -3 ( 10n + 1 )
Answer:
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Yo can anybody please help me answer this question
Answer:
45
Step-by-step explanation:
by the definition of an isocoles triangle, defined by having two congruent sides, (p-s, r-s), angles SPR and SRP are congruent. by the triangle sum theorem, (internal angles + to 180˚) 90˚ + 2a = 180˚. 2a =90, a = 45
Wendy tasted 12 desserts from each bakery in her county. Each bakery has an equal number of desserts.
Is this sample of the desserts from the county's bakeries likely to be representative?
It is difficult to determine whether the sample of desserts that Wendy tasted is representative of all desserts from the county's bakeries without additional information.
First, it depends on the total number of bakeries in the county. If there are only a few bakeries, Wendy's sample of 12 desserts from each bakery may not be enough to accurately represent all the desserts in the county. On the other hand, if there are many bakeries, and Wendy tasted 12 desserts from each one, then her sample may be more representative.
Secondly, it is important to consider how the bakeries were selected. If Wendy only tasted desserts from certain types of bakeries or only in certain areas of the county, her sample may not be representative of all the county's bakeries.
Therefore, without more information on the total number of bakeries in the county and the selection process, it is difficult to determine whether Wendy's sample of desserts is representative of all the desserts from the county's bakeries.
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1.
Divide:
x+3x+2 x +4x+4
x+1 x + 5x+4
Answer:
x
4
−5x
2
+4
To factor the expression, solve the equation where it equals to 0.
x
4
−5x
2
+4=0
By Rational Root Theorem, all rational roots of a polynomial are in the form
q
p
, where p divides the constant term 4 and q divides the leading coefficient 1. List all candidates
q
p
.
±4,±2,±1
Find one such root by trying out all the integer values, starting from the smallest by absolute value. If no integer roots are found, try out fractions.
x=1
By Factor theorem, x−k is a factor of the polynomial for each root k. Divide x
4
−5x
2
+4 by x−1 to get x
3
+x
2
−4x−4. To factor the result, solve the equation where it equals to 0.
x
3
+x
2
−4x−4=0
By Rational Root Theorem, all rational roots of a polynomial are in the form
q
p
, where p divides the constant term −4 and q divides the leading coefficient 1. List all candidates
q
p
.
±4,±2,±1
Find one such root by trying out all the integer values, starting from the smallest by absolute value. If no integer roots are found, try out fractions.
x=−1
By Factor theorem, x−k is a factor of the polynomial for each root k. Divide x
3
+x
2
−4x−4 by x+1 to get x
2
−4. To factor the result, solve the equation where it equals to 0.
x
2
−4=0
All equations of the form ax
2
+bx+c=0 can be solved using the quadratic formula:
2a
−b±
b
2
−4ac
. Substitute 1 for a, 0 for b, and −4 for c in the quadratic formula.
x=
2
0±
0
2
−4×1(−4)
Do the calculations.
x=
2
0±4
Solve the equation x
2
−4=0 when ± is plus and when ± is minus.
x=−2
x=2
Rewrite the factored expression using the obtained roots.
(x−2)(x−1)(x+1)(x+2)
Write an equation of the line that passes through (2,0) and is perpendicular to the line y=-1/7x-3
An equation of the perpendicular line is y=
Answer:
Step-by-step explanation:
The slope of the given line y=-1/7x-3 is -1/7. The slope of any 'new' line perpendicular to this given line is the negative reciprocal of the slope of the latter, which in this case is +7.
Use the point-slope formula y - k = m(x - h) with k = 0, h = 2 and m = +7:
y - 0 = 7(x - 2), or
y = 7(x - 2), or
y = 7x - 14
Answer:
Step-by-step explanation:first you do get the slope and flip it so it’s becomes 7/1 and
Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
-2x +y = 5
- 4x + 2y = 16
One Solution
O No Solutions
Infinitely Many Solutions
Answer: No Solution
Step-by-step explanation: In picture
select Yes or No to indicate whether each of the ordered pairs is most likely a solution to the equation represented by the graph
Answer:
(-1, 4)
Step-by-step explanation:
From the graph we see that;
At x = 0, y has a value of 1
At x = 2, y has a value of 1
At x = 1, y has a value of 0
At x = -1, y has a value of 4
Looking at the given options, the only ordered pair that corresponds to a correct reading on the graph as earlier observed is; (-1, 4)
Answer:
no
no
yes
Step-by-step explanation:
Part B: A triangle has vertices A (-2, 3), B (0, 0), and C (1, 2). What are the coordinates of the vertices if the original triangle is dilated by a scale factor of 3 and then reflected over the x-axis?
Answer:
(-6,-9) , (0,0) and (3,-6)
Step-by-step explanation:
Here, we want to find new coordinates after dilating by 3 and reflecting over x-axis
By dilating by a factor of 3, we multiply each term by 3
We have the following;
A’(-6,9) B’(0,0) and C’ (3,6)
Now if we want to reflect the point (x,y) over x-axis, what we shall have is (x,-y)
So the vertices will be as follows;
(-6,-9) , (0,0) and (3,-6)