Answer:
48
Step-by-step explanation:
48=2×2×2×2×3
78=13×2×3
48 has 5 factors.
find the domain of the function below if the domain is {-1,0,2} f(x)=x^2 -2x+3
Answer:
The Range is {3, 6}.
Step-by-step explanation:
The correct question is
Find the range of the function below if the domain is {-1,0,2} f(x)=x^2 -2x+3
we know that
The domain represents all possible values of x.
The range represents all possible values of f(x)
Substitute all of the possible x-values (domain) into the formula to find all possible f(x) values (the range).
For x=-1
[tex]f(-1)= (-1)^{2} - 2(-1) + 3[/tex]
[tex]f(-1)=1+2+ 3[/tex]
[tex]f(-1)=6[/tex]
For x=0
[tex]f(0)= (0)^{2} - 2(0) + 3[/tex]
[tex]f(0)=0-0+ 3[/tex]
[tex]f(0)=3[/tex]
For x=2
[tex]f(2)= (2)^{2} - 2(2) + 3[/tex]
[tex]f(2)=4-4+ 3[/tex]
[tex]f(2)=3[/tex]
therefore
The Range is {3, 6}.
Emma buys and sells truck parts. she bought 2 tires for $35 and later sold them for $65. she bought three rims for $75 and later sold them for $136. she bought 4 headlight covers for $4 and later sold them for $15. what is Emma's total profit?
Answer:
The two tires she bought is $35+$35 which then equals to $70. She spent $70 on tires. She then sold them for $65. She bought three rims, each $75... $75+$75+$75 which then equals her $225. And then sold them for $136. She then bought four headlight covers for $4 each... $4+$4+$4+$4, which equals her $16. Then sold them for $15. Her total profit is -$95. How i got that answer you say, well, if you calculate how much she spent on everything in total, she spent -$311 on everything. You then calculate how much she gained by selling everything she had bought, which was a total of $216. Add both of the total prices, -$311+216= you get -$95.
Step-by-step explanation:
Answer:
298
Step-by-step explanation:
35*2=70 65*2=130 130-70=60
75*3=225 136*3=408 408-225=183
5*4=20 15*5=75 75-20=55
55+60+183=298
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.
Determine the equation for the parabola graphed below.
y =
x2 +
x +
Answer:
[tex]\large\boxed{y=\dfrac{1}{2}x^2-2x+1}[/tex]
Step-by-step explanation:
The vertex form of an equation of a parabola:
[tex]y=a(x-h)^2+k[/tex]
(h, k) - vertex
a - leading coefficient in equation y = ax² + bx + c
From the grap we can read coordinates of the vertex (2, -1) and y-intercept (0, 1).
Therefore h = 2, k = -1
Put the values of h, k and coordinates of the y-intercept to the equation of parabola:
[tex]1=a(0-2)^2-1[/tex] add 1 to both sides
[tex]1+1=a(2)^2-1+1[/tex]
[tex]2=4a[/tex] divide both sides by 4
[tex]\dfrac{2}{4}=\dfrac{4a}{4}\\\\\dfrac{1}{2}=a\to a=\dfrac{1}{2}[/tex]
Therefore we have the equation:
[tex]y=\dfrac{1}{2}(x-2)^2-1[/tex]
Convert to the standard form:
[tex]y=\dfrac{1}{2}(x-2)^2-1[/tex] use (a - b)² = a² - 2ab + b²
[tex]y=\dfrac{1}{2}(x^2-2(x)(2)+2^2)-1[/tex]
[tex]y=\dfrac{1}{2}(x^2-4x+4)-1[/tex] use the distributive property
[tex]y=\dfrac{1}{2}x^2-\dfrac{1}{2}\cdot4x+\dfrac{1}{2}\cdot4-1[/tex]
[tex]y=\dfrac{1}{2}x^2-2x+2-1[/tex] combine like terms
[tex]y=\dfrac{1}{2}x^2-2x+1[/tex]
Question on photo, there are two parts, read carefully! Will mark brainliest
Bryson’s dad is 38 years old. If this is four years less than three times Bryson’s age, how old is Bryson?
Answer:
Bryson’s age is 14 years
Step-by-step explanation:
Let
x ----> Bryson’s age
we know that
Bryson’s age multiplied by 3 minus 4 must be equal to 38
so
The linear equation that represent this situation is
[tex]3x-4=38[/tex]
solve for x
Adds 4 both sides
[tex]3x=38+4[/tex]
[tex]3x=42[/tex]
Divide by 3 both sides
[tex]x=14[/tex]
therefore
Bryson’s age is 14 years
What kind of molecule is represented in the diagram?
Fatty Acid
Glycerol
Fatty Acid
Fatty Acid
A. A nucleic acid
B. A lipid
C. A nucleotide
D. A carbohydrate
Answer:
A lipid
Step-by-step explanation:
When 1 "Glycerol "and 3"Fatty Acids" form a bond the new molecule is called "Triglyceride" which is a type of "Lipid"
A worker at a snack stand opened a new box of cups. The first day he used 30 cups , the second day the worker used 15 percent of the remaining cups. A total of 90 cups were used the second day.what was the original amount of cups in the box before any were used?
plz help asap will give u brainliest :)
Answer:
Step-by-step explanation:
the first day he used 30 cups
the second day he used 15% of the remaining cups...a total of 90 cups were used on second day.
so 15%of the remaining cups = 90.....so if u let x be the total cups, then the remaining cups would be x - 30
15% of (x - 30) = 90.....turn ur percent to a decimal..." of " means multiply
0.15(x - 30) = 90
0.15x - 4.5 = 90
0.15x = 90 + 4.5
0.15x = 94.5
x = 94.5 / 0.15
x = 630 total cups <==
lets check..
start with 630 cups....used 30 the first day....leaving u with 600 cups....15% of the remaining cups = 90.....so 15% of 600 = 90....lets check it
15%of 600 = 0.15(600) = 90...yep, thats correct....there were 630 cups in the new un-opened box
Answer:
630
Explanation:
15% * number of remaining cups = 90
15% * (x-30) = 90
0.15(x-30) = 90
0.15x - 4.5 = 90
0.15x = 94.5
x = 630
Solve for y.
K=4yz
????
Answer:
y=K/4z
Step-by-step explanation:
K=4yz
y=K/4z
Answer:
Step-by-step explanation:
A landscaper installed a circular sprinkler system using 50.25 feet of copper tubing to create the circle. To the nearest whole foot, what is the diameter of the circular sprinkler
Answer:
4 foot
Step-by-step explanation:
√50.25 / 3.1416 = 4
The diameter of the circular sprinkler is 16 feet.
Explanation:To find the diameter of the circular sprinkler, we can use the formula for the circumference of a circle: C = πd, where C is the circumference and d is the diameter. In this case, we are given the length of the copper tubing used, which is equal to the circumference. So we can rearrange the formula to solve for the diameter: d = C/π. Plugging in the given values, we have d = 50.25/π. Using the value of π as approximately 3.14, we can calculate the diameter to the nearest whole foot.
d ≈ 50.25/3.14 ≈ 16.01 feet
Therefore, the diameter of the circular sprinkler to the nearest whole foot is 16 feet.
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Quadrilateral ABCD is dilated by a scale factor of 1 over 3 centered around (1, 2). Which statement is true about the dilation?
segment B prime D prime will run through (1, 2) and will be shorter than segment BD.
segment B prime D prime will run through (1, 2) and will be longer than segment BD.
segment B prime D prime will be parallel to segment BD and will be shorter than segment BD.
segment B prime D prime will be parallel to segment BD and will be longer than segment BD.
Note: Since you missed to add the figure. So, after a little research I am kind of able to find the figure and hence, assuming it as a reference. Hence, I am attaching the figure and solution of that figure is also visible in the same figure. Please check the attached figure (a)
Answer:
Segment B'D' will be parallel to segment BD and will be shorter than segment BD. Please see the attached figure (a) for better understanding.
Step-by-step explanation:
As we know that there are certain rules when a quadrilateral is dilated by a certain scale centered around a certain point.
So,
Let suppose P(a, b) is the point.
The dilation rule by a scale factor of 1 over 3 or (1/3) centered around (1, 2) is
P(a, b) → [tex]P(\frac{x+2}{3}, \frac{y+4}{3})[/tex]
Hence,
A(1, 2) → A'(1, 2)
B(2, 3) → B'(4/3, 7/3)
C(4, 2) → C'(2, 2)
D(2, 1) → D'(4/3, 5/3)
The attached figure show that if we draw the all these points in the coordinate plan i.e. A(1, 2), B(2, 3), C(4, 2), D(2, 1) and A'(1, 2), B'(4/3, 7/3), C'(2, 2), D'(4/3, 5/3), we can determine that Segment B'D' will be parallel to segment BD and will be shorter than segment BD.
Keywords: dilation, quadrilateral, segment
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Answer: C) segment B prime D prime will be parallel to segment BD and will be shorter than segment BD.
If f(x) = 4x - 3, what is f(x)^-1
Answer:
[tex]f^{-1}[/tex](x) = [tex]\frac{x+3}{4}[/tex]
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = 4x - 3 ( add 3 to both sides )
y + 3 = 4x ( divide both sides by 4 )
[tex]\frac{y+3}{4}[/tex] = x
Change y back into terms of x
[tex]f^{-1}[/tex](x) = [tex]\frac{x+3}{4}[/tex]
what is the solution to y=x+2 and x=-3
Answer:
x=-3, y=-1. (-3, -1).
Step-by-step explanation:
y=x+2
y=-3+2=-1
The car is purchase for $18,000 after each year the resell value decreases by 25% what will the resale value be after three years
Answer:
18000×75÷100 =13500 ×3 =40500 .
The ratio of two complementary angles is 7:2. What is the measure, in degrees, of the larger angle?
Answer:
70 degrees
Step-by-step explanation:
Complementary angles sum up to 90.
To find the larger angle, you find the total of the values in the ratio, divide the larger value of the ratio by the total and multiply it by 90.
(7/7+2)×90=7/9×90
=7×10
=70
OR
Write an equation:
7x+2x=90
9x=90
x=10
Then multiply x by the larger value.
7x=7 (10)=70
Math word problem we need help?
The total profit is :$37.46. Number of boxes for pop B to purchase more is 56 boxes.
Step-by-step explanation:
1.
Pop B number =36
Remaining Pop B after meeting = 36-17 =19
Amount obtained after selling remaining Pop B = 19* 0.75 = $14.25
Pop A number =75
Remaining Pop A after meeting = 75-8 =67
Amount obtained after selling pop A = 67*0.5 =$33.5
Profit in Pop B = $14.25-$3.79 =$10.46
Profit in Pop A =$33.5 -$6.50 = $27
Total profit after sell of Pop A and B = $10.46+$27 = $37.46
2.
The target profit is $250
Subtracting profit meet = $250 - $ 37.46 =$212.54
Profit to be attained by the sell of pop B only should be =$212.54
Selling price of pop B per box is $3.79
Number of boxes for pop B to purchase more will be;
$212.54/ $3.79 = 56.08 ⇒ 56 more boxes
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Keywords ; pop, profit, goal, more boxes, sale price , brand
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1. Find the value of each expression. Show your work.
(a) 1.22
(b) 23 +17 - 3.4
(c) 9 +33
Answer:
ASAP PLS 15 points
Answer: A) 1.44 B) 13 C) 3
Step-by-step explanation:
A) 1.2 * 1.2 =1.44
B) (8) +17 - (12)= (8+17) -12= (25)- (12)= 13
C) (9*9) / (3*3*3)= (81) / (27)= 3
Find the sum.
7x + 15x=
Answer:
7x + 15x= 21x
Step-by-step explanation:
7x + 15x
= (7 + 15)x
= 22x
Answer: 22x
Step-by-step explanation: +7x and +15x are called terms and the numbers in front of the variables, +7 and +15 are called coefficients.
Because the variables, x and x, are identical, the two terms in this problem are called like terms. Like terms can be added together by simply adding their coefficients. So in this problem, since 7 + 15 is 22, 7x + 15x is simply 22x.
In the 2006 Winter Olympics, Sweden won 3 medals more than China. Germany
secured one more than twice the number of medals bagged by sweden. It 54
medals were won in all, how many medals did Germany secure?
Final answer:
To find out how many medals Germany secured in the 2006 Winter Olympics, we denote the number of medals Sweden won as S and create an equation based on the problem's description. Solving for S, we find that Sweden won 14 medals, so Germany, with one more than twice the number of Sweden's medals, secured 29 medals in total.
Explanation:
The question requires us to solve a problem that involves understanding and creating equations based on the given information.
Let's denote the number of medals Sweden won as S. According to the problem, China won S - 3 medals, and Germany won 2S + 1 medals. The total number of medals won by all three countries is 54, so the equation to represent this information is:
S + (S - 3) + (2S + 1) = 54
By combining like terms, we get:
4S - 2 = 54
Now, we will solve for S:
4S = 56 ⇒ S = 14
Now that we know Sweden won 14 medals, we can determine the number of medals Germany secured, which is 2S + 1:
2(14) + 1 = 29
Therefore, Germany secured 29 medals in the 2006 Winter Olympics.
You want to put $2500 in a simple interest account. it has 4% Annual interest rate how long will it take you to earn $200 in interest?
Answer:
2 years
4% of 2500 is 100
So 100x2 years would be 200
Answer:
Step-by-step explanation:
SI = PRT/100
$200 = 2500 * 4*T/100
200 *100 / 2500 *4 = T
T = 200 * 100 /2500*4 = 2
T = 2 years
Please help!! Which table shows a proportional relationship between x and y?
Answer: The second table
Step-by-step explanation:
For the table to show proportional relationship between x and y , then they must have a common ratio. that is x/y must be the same throughout
Table 1
[tex]x_{1}[/tex] = 1 [tex]y_{1}[/tex] = 2
[tex]x_{2}[/tex] = 3 [tex]y_{2}[/tex] = 5
[tex]x_{3}[/tex] = 4 [tex]y_{3}[/tex] = 8
[tex]x_{4}[/tex] = 7 [tex]y_{4}[/tex] = 14
[tex]\frac{x_{1}}{y_{1}}[/tex] = 1/2
[tex]\frac{x_{2}}{y_{2}}[/tex] = 3/5
[tex]\frac{x_{3}}{y_{3}}[/tex] = 4/8 = 1/2
[tex]\frac{x_{4}}{y_{4}}[/tex]= 7/14 = 1/2
Since the ratio is not the same throughout , then x and y are not proportional
Table 2
[tex]x_{1}[/tex] = 7 [tex]y_{1}[/tex] = 1
[tex]x_{2}[/tex] = 14 [tex]y_{2}[/tex] = 2
[tex]x_{3}[/tex] = 28 [tex]y_{3}[/tex] = 4
[tex]x_{4}[/tex] = 35 [tex]y_{4}[/tex] = 5
[tex]\frac{x_{1}}{y_{1}}[/tex] = 7/1 = 7
[tex]\frac{x_{2}}{y_{2}}[/tex] = 14/2 = 7
[tex]\frac{x_{3}}{y_{3}}[/tex] = 28/4 = 7
[tex]\frac{x_{4}}{y_{4}}[/tex]= 35/5 = 7
Since the ratio is the same throughout , it means that x and y are proportional.
Doing the same for table 3 and 4 , x and y are not proportional
how to solve 4x + 7 = -2x + 19
subtract 7 from both sides
4x = -2x + 12
add 2x to both sides
6x = 12
divide both sides by 6
x = 2
Should perimeter or area be used to find the amount of fencing for a paddock?
Aaron is going to a carnival that has games and rides. Each game costs $2.75 and each ride costs $4.75. Aaron spent $20.50 altogether at the carnival and the number of games he played is twice the number of rides he went on. Determine the number of games Aaron played and the number of rides Aaron went on.
Answer:
Step-by-step explanation:
2.75g + 4.75r = 20.50
g = 2r
2.75(2r) + 4.75r = 20.50
5.50r + 4.75r = 20.50
10.25r = 20.50
r = 20.50 / 10.25
r = 2 <==== Aaron went on 2 rides
g = 2r
g = 2(2)
g = 4 <==== Aaron played 4 games
check...
2.75g + 4.75r = 20.50
2.75(4) + 4.75(2) = 20.50
11 + 9.5 = 20.50
20.50 = 20.50 (correct)
20 POINTS BRAINLIEST
First solving for log5(92):
log5(92) = log(92) / log(5) = 2.8095 = 2.810
Now to change to base 3:
log3(x) = log5(92)
Solve for x:
x = 3^(log5(92)
x = 3^2.810
x = 21.903
The answer would be the first one.
Answer:
I got A
Hope this helps
Step-by-step explanation:
Help please i need help lollolol
Answer:
Oh it is C
Step-by-step explanation:
Answer:
40 miles per hour
Step-by-step explanation:
1 hour=3600 seconds
(1/4)/22.5=x/3600
cross product
22.5*x=(1/4)(3600)
22.5x=3600/4
22.5x=900
x=900/22.5
x=40
Which congruence theorems can be used to prove ΔABR ≅ ΔACR? Select three options
Answer:
SAS , ASA, SSS
Step-by-step explanation:
SAS , side A= side A . Angle B= Angle C, side R= side R
ASA, Angle A= Angle A . Side B= side C, Angle R= Angle R
SSS
side A= side A . Side B= side c, side R= side R
5. Which polynomial is equal to (x^5+ 1) divided by (x + 1)?
AXA - X3 .x² - x + 1.
B X - X² + x² - x + 1
C x4 + x3 -- x2 + x + 1
D x + x3 + x² + x 1
Answer:
B [tex]x^4-x^3+x^2-x+1[/tex]
Step-by-step explanation:
Given,
Dividend = [tex](x^5+1)[/tex]
Divisor = [tex](x+1)[/tex]
Now According to the rule of Division.
Step 1: At first dividend is [tex](x^5+1)[/tex] and Divisor is [tex](x+1)[/tex] when it is divided for the first time the quotient will be [tex]x^4[/tex] and remainder will be [tex]-x^4+1[/tex]
Step: 2 Now the remainder of step 1 will be new dividend which is [tex]-x^4+1[/tex] and Divisor is [tex](x+1)[/tex] so when it is divided the quotient will be [tex]x^4-x^3[/tex] and remainder will be [tex]x^3+1[/tex]
Step: 3 Now the remainder of step 2 will be new dividend which is [tex]x^3+1[/tex] and Divisor is [tex](x+1)[/tex] when it is divided the quotient will be [tex]x^4-x^3+x^2[/tex] and remainder will be [tex]-x^2+1[/tex]
Step: 4 Now the remainder of step 3 will be new dividend which is [tex]-x^2+1[/tex] and Divisor is [tex](x+1)[/tex] when it is divided the quotient will be [tex]x^4-x^3+x^2-x[/tex] and remainder will be [tex]x+1[/tex]
Step: 5 Now the remainder of step 4 will be new dividend which is [tex]x+1[/tex] and Divisor is [tex](x+1)[/tex] when it is divided the quotient will be [tex]x^4-x^3+x^2-x+1[/tex] and remainder will be 0.
Hence When the polynomial [tex](x^5+1)[/tex] is divided by [tex](x+1)[/tex] the answer or quotient will be equal to [tex]x^4-x^3+x^2-x+1[/tex] and remainder will be 0.
how to solve this equation
-6=b/18
Answer:
b=-108
Step-by-step explanation:
To solve this equation for b, you simply multiply each side by 18. The reason you do this is to isolate the b.
[tex]-6=\frac{b}{18}[/tex]
[tex]18(-6)=(\frac{b}{18} )(18)[/tex]
[tex]-108=b[/tex]
16 equals m-14 what is the value of m
Answer:
16=m-14
To find the value of m you want to add 14 to each side
30=m
Step-by-step explanation:
if oak plywood costs $56.00/sheet sq ft. how much is 17 sq ft.
Answer:
$952
Step-by-step explanation:
I don't know why sheet is after 56, but I think they just want you to multiply 57 and 17.