Answer:
(8,0) ( -8,0) are the x intercepts
Step-by-step explanation:
Factor
x^2 - 64
This is the difference of squares
(x-8) (x+8)
Set equal to zero to find the intercepts
x-8 = 0 x+8 =0
x= 8 x= -8
Answer: (8,0) and (-8,0)
Step-by-step explanation: It is one positive and one negative 8 because a double positive would be a +64 and a double negative would also be a +64(unless there was another x for example x^2+2x-64.
x^2-64
(x+8) (x-8)
(x+8) (x-8)=0
x+8=0 and x-8=0
(-8,0) and (8,0)
A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 lower than in the first. The tax in the staty was
10%, and the tax in the second city was 5%. The total hotel tax paid for the two cities was $600. How much was the hotel charge in each oty before tax?
Answer:
The Hotel charge without tax in first city is $3500 and The hotel charge before tax in the second city is 2000
Step-by-step explanation:
Let x be the hotel charge without tax in first city
We are given that The hotel charge before tax in the second city was $1500 lower than in the first.
So, Hotel charge without tax in second city =x-1500
Tax% in first city = 10%
So, tax in first city = 0.1x
Tax% in second city =5%
So, tax in second city = 0.05(x-1500)
We are given that The total hotel tax paid for the two cities was $600.
So,0.1x+0.05(x-1500)=600
0.1x+0.05x+75=600
0.15x=600-75
[tex]x=\frac{600-75}{0.15}[/tex]
x=3500
Hotel charge without tax in first city = $3500
The hotel charge before tax in the second city =x-1500=3500-1500=2000
Hence The Hotel charge without tax in first city is $3500 and The hotel charge before tax in the second city is 2000
(27x4 - 18x3 + 9x 2) = 3x
Answer ASAP
Answer:
x = 24
Step-by-step explanation:
27 x 4 = 108
18 x 3 = 54
9 x 2 = 18
108 - 54 + 18 = 3x
72 = 3x
72/3 = x
24 = x
If you flip three fair coins what is the probability that the two first flips will both be heads, and the third flip will be either heads or tales?
Answer:
The probability that a coin flip is a head or a tail is 0.5. The probability that a coin flip is either a head or a tail is 1. The probability that a three-coin-flip is two heads and a head or a tail is 0.25.
Step-by-step explanation:
Write 3 multi-step equations on your own. Explain how you got the answers in words and show all your work.
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1) 4x + 9 = 2x - 6
Subtract 9 from both sides
4x = 2x - 15
Subtract 2x from both sides
2x = -15
Divide both sides by 2:
x = -15/2 or -7.5
2) 2(x - 5) = 5x + 23
Expand the brackets:
2x - 10 = 5x + 23
Subtract 23 from both sides
2x - 33 = 5x
Subtract 2x from both sides
3x = -33
Divide both sides by 3
x = -11
3) 7x + 3 = 2x + 13
Minus 3 from both sides
7x = 2x + 10
Subtract 2x from both sides
5x = 10
Divide both sides by 5
x = 2
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Check all of the ordered pairs that satisfy the equation below.
y=2/3x
Answer:
D,C
Step-by-step explanation:
The graph of y= √x is transformed as shown in the graph below. Which equation represents the transformed function?
Answer:
1
Step-by-step explanation:
Firstly note that the graph is shifted up 2 units, as it starts at positive 2, when it should start at 0.
That only leaves choices 1 and 2
However, since we know its flipped, we can easily rule out number 2, as number 2 wouldn't be a real number(sqrt of negatives)
That leaves answer choice 1
The correct option is y = -[tex]\sqrt{x}[/tex] +2
What is transformation?A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.
Given that, the graph of y= √x is transformed as shown in the graph.
Firstly note that the graph is shifted up 2 units, as it starts at positive 2, when it should start at 0.
That only leaves choices 1 and 2
However, since we know it's flipped, we can easily rule out number 2, as number 2 wouldn't be a real number.
Hence, the correct option is y = -[tex]\sqrt{x}[/tex] +2
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The options are
6 yards
12 yards
6 √3
6 √2
A four-person committee is chosen from a group of eight boys and six girls.
If students are chosen at random, what is the probability that the committee consists of all boys?
A• 4/ 1001
B• 15/ 1001
C• 10/ 143
D• 133/ 143
Answer:
The answer is 10/143
Step-by-step explanation:
Answer:
10/143
Step-by-step explanation:
Determine the sum of the measures of the exterior angles of a decagon (ten-sided polygon).
[(5 x 2.34) - 9] divided by 2 Help needed
Answer:
1.35
Step-by-step explanation:
To answer this problem, use order of operations (PEMDAS)
5 x 2.34 = 11.7
11.7 - 9= 2.7
2.7 / 2 = 1.35
Hope this helps.
Answer: 1.35
Step-by-step explanation:
(5 * 2.34) = 11.7
11.7 - 9 = 2.7
2.7/2 = 1.35
Do you use the greatest common factor or the least common multiple to add to fractions? In this example what is it? 4/15+5/6
Answer:
The least common multiple, but you can use the greatest common factor, but at the end you have to simplify for it to be correct. 1 3/30
Step-by-step explanation: 4/15+5/6
Change 15 into a 30 by multiplying 2 to both sides.
Change 6 into a 30 by multiplying 5 to both sides.
so the new fractions are 8/30+25/30=33/30
The final fraction is 1 3/30.
Find the Area of the Shaded Region. Triangle A = bh/2. Rectangle A = bh
11 ft
6 ft
6
4 ft
I will mark as Brainliest help
Answer:
Step-by-step explanation:
From the diagram in the image attached:
Base of triangle = [tex]20cm - ( 4 + 3)cm[/tex]
Base of triangle = [tex]20 - 7 = 13cm[/tex]
Height = 9cm
Area of triangle = (0.5) × base × height
Area of triangle = [tex]0.5 \times 13 \times 9 = 58.5cm^2[/tex]
Area of rectangle = Length × width
Area of rectangle = [tex]20 \times 9 = 180[/tex]
Shaded area = area of rectangle - area of triangle
Shaded area = [tex]180cm^2 - 58.5cm^2[/tex]
Shaded area = [tex]121.5cm^2[/tex]
I need help solving this problem
Answer:
D
Step-by-step explanation:
D is the equation in the question but in radical form.
Answer:
Step-by-step explanation:
[tex]xy^{\frac{2}{9} } \\use - indices-rule : x^{\frac{1}{2} } = \sqrt{x} ^{1} \\\sqrt{xy} ^{9}[/tex]
How do you determine the scale factor of a dilation given the side lengths of the pre-image and image? 2. How can dilations help us solve real world problems? *
Answer:
If you're scaling up from a smaller figure to a larger one, plug the lengths into the equation scale factor = larger length over smaller length. If you're scaling down from a larger figure to a smaller one, use the equation scale factor = smaller length over larger length.
Dilatation help us solve real world problems by allowing us to estimate the location that something has to be in or even if an object will fit or not.
Which property justifies this statement?
If I = -2, then 5.c = -10.
Answer: Conditional statement
Step-by-step explanation:
Hypotheses followed by a conclusion is called an If-then statement or a conditional statement. This is noted as. p→q. This is read - if p then q. A conditional statement is false if hypothesis is true and the conclusion is false.
Dominic and Tony are playing a board game with a pair of six-sided dice. If Dominic can roll a total of five using the two dice, he will win the game.
a) What are all of the possible sums Dominic can roll using the pair of dice?
b) Circle the outcomes that could win the game for Dominic.
c) What is the probability that Dominic will win the game on this roll? Show your answer as a fraction and a percent.
Answer:
(a)2,3,4,5,6,7,8,9,10,11 and 12.
(b)(1,4), (2,3), (3,2) and (4,1)
(c) [tex]\dfrac{1}{9}$ or 11.11\%[/tex]
Step-by-step explanation:
When two six-sided dice are rolled, the possible outcomes are:
[tex](1,1) (1,2) (1,3) (1,4) (1,5) (1,6)\\(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)\\(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)\\(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)\\(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)\\(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)[/tex]
If Dominic can roll a total of five using the two dice, he will win the game.
(a) The possible sums Dominic can roll using the pair of dice is the sum
x+y where the for each outcome (x,y). These are:
[tex]2,3,4,5,6,7\\3,4,5,6,7,8\\4,5,6,7,8,9\\5,6,7,8,9,10\\6,7,8,9,10,11\\7,8,9,10,11,12[/tex]
The possible sums are 2,3,4,5,6,7,8,9,10,11 and 12.
(b) The outcomes that could win the game for Dominic are the outcomes which adds up to 5. These are:
(1,4), (2,3), (3,2) and (4,1)
(c)Probability that Dominic will win the game on this roll
Total Possible sums =36
Number of sums that add up to 5 =4
Therefore:
The probability that Dominic will win the game on this roll
[tex]=\dfrac{4}{36}\\=\dfrac{1}{9}\\ $Expressed as a percentage, we have$:\\\dfrac{1}{9} \times 100 =11.11\%[/tex]
Diego has purchased a $159,000 home with a 30-year mortgage at 5.05%. He
can make a monthly payment of $1300. If he were to make this payment each
month, how long will it take him to pay off his mortgage?
Answer:122.3 days
Step-by-step explanation:
1300÷159,000= 122.3
The diameter of a circle is 6 m. Find its area in terms of pi
Solution,
Diameter=6 m
Radius= 6/2=3m
Area of circle= pi r ^2
= pi *(3)^2
= pi*9
=9 pi metre^2
Hope it helps
Good luck on your assignment
The area of the circle is 9π m².
What is the area of the circle?
The area of a circle is the area inside the circle. Hence, the area of the circle = π × R².
Given, the diameter of the circle is(D) = 6 m.
Radius of the circle(R) = D/2 = 6/2 m = 3 m.
Therefore, the area of the circle = π × R² = π × 3² m² = 9π m².
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Which of the following is not a congruence theorem or postulate?
Answer:
AA
Step-by-step explanation:
AA is a triangle similarity postulate.
Answer: AA
Step-by-step explanation:
just got it right on the exam
A rectangle room measures 13 feet by 15 feet. The ceiling fan is 8 feet high. Find the total area of all 4 walls that will need to be painted.
448 ft
224 ft
560 ft
336 ft
Answer:
448 ft^2
Step-by-step explanation:
The area of the walls is the perimeter of the room multiplied by the height.
P = 2(L + W)
P = 2(13 ft + 15 ft)
P = 2(28 ft)
P = 56 ft
A = perimeter * height
A = 56 ft * 8 ft
A = 448 ft^2
1) Miguel sells a house for $275,000. His commission for the sale is $6,875. What percent commission did he earn? (Make sure to write your answer as a percent for example: 6.2%)
Answer: 2.5%
Step-by-step explanation:
Let's use the rule of 3 here.
If the total price is $275,000 or 100% of the sale, then $6,875 is X% of the total sale.
Let's put money on one side and percentages on the other.
[tex]\frac{275000}{6875}=\frac{100}{x}[/tex]
Solve for x;
[tex]x=\frac{6875*100}{275000}[/tex]
[tex]x=2.5[/tex]
The Percent commission Miguel earn is 2.5%.
To Find the percent commission Miguel earnedGiven:
Miguel sells a house = $275,000
His commission for the sale =$6,875.
Step 1:
Let's use the rule of 3 here.
If the total price is $275,000 or 100% of the sale,
then $6,875 is X% of the total sale.
Step 2:
Let's put money on one side and percentages on the other
=275000/6875
= 100/x
Solve for x;
x = 6875×100/275000
x = 2.5
Therefore, Percent commission did Miguel earn is 2.5%.
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Help!!!! this is plato and i’m not sure how to do this
Answer:not sure either
Step-by-step explanation:
Find the area of the largest circle that can be inscribed inside a square whose perimeter is 28" ( with explanation )
Answer:
31.1
Step-by-step explanation:
28'' = 7'' per side
Square diagonal = 7 squareroot 2
7 squareroot 2 = Diameter
[tex]\frac{7\sqrt{2} }{2}[/tex] = radius
Area =2 pi r
31.1
Choose the best answer.
Which of the following is usually NOT red?
la piña
la sandía
el tomate
la fresa
Answer:
The first one "La Piña" isn't red.
Answer:
the answer is A
Which of the diagrams below represents the statement "If it is not warm, then
it is not hot"?
not hot
not warm
not warm
not hot
Figure A
Figure B
A. Figure A
B. Figure B
Answer:
B. Figure B
Step-by-step explanation:
We have the phrase "If it is not warm, then it is not hot".
Chronologically and logically, it has to not be warm in order to not be hot. "Not warm" will have to encompass "not hot". Therefore, choice B is correct as the diagram shows "not warm" encompassing "not hot".
Answer:
Figure A
Step-by-step explanation:
Ap*x
Find the area of this triangle... Round to the nearest tenth and include units in your answer
Answer:
36 m^2
Step-by-step explanation:
the formula for the area of a triangle is 1/2•b•h
so you’re going to do 1/2 times 12 times 6 to get the area of 36 m^2
Worth lot of points :))))
Step-by-step explanation:
slope = (y2 - y1)/(x2 - x1)
-4/3 = (6 - y)/[4-(-2)]
-4/3 = (6-y)/6
(-4/3)×6 = 6-y
-8 = 6-y
y = 6 + 8
= 14
Answer: y=14
Step-by-step explanation:
PLS CAN SOMEONE HELP ITS ABOUT TO BE DUE
Mr. Donovan has $100 to spend on parking and admission to the Rye Playland. The parking will cost $7, and admission tickets will cost $15.50 per person, including tax. Write and solve an algebraic equation that can be used to determine the number of people that she can bring to Rye Playland, including herself
Answer:
15.5x+7=100
15.5x = 93
x=6 people
Answer:
6 people
Step-by-step explanation:
let x = amount of people Mr. Donovan brings
7 + 15.50x = 100
-7 -7
15.50x = 93
/15.50 /15.50
x = 6
6 people
Use the combination method to solve for y: 5x + 3y = 12 and -5x + 4y = 16
y= 4
y= 0
y= -10
y= -4
Answer:
y = 4
Step-by-step explanation:
We have,
5x + 3y = 12 ....(1)
and
-5x + 4y = 16 ....(2)
Adding equation (1) and (2),
0 + 7y = 28
or
7y = 28
Dividing both sides by 7,
y = 4
So, the value of y = 4.
Select the ordered pairs that satisfy the equation y=1/7x.
Check all that apply.
Answer:
the answer is F (-7,-1) and D(1,7)