Answer:
[tex]\boxed{\sf \ \ \ x^2 + x -72 = 0 \ \ \ }[/tex]
Step-by-step explanation:
Hello,
We need to use the distributive property which means that for a, b and c real numbers a(b+c)=ab+ac
So here we can write
[tex]x(x+1)=72\\<=> x*x+x*1=72\\<=> x^2 + x -72 = 0\\[/tex]
do not hesitate if you have any question
Please can someone help me asap
Answer:
48
Step-by-step explanation:
Because you add 20 cm, 15 cm, and lastly 13 cm. Then you add it all together and get the answer.
Pam bought 50 kg of sugar. She used 10 kg of sugar. What percentage of sugar was left? (step by step answer would be appreciated)
Answer:
80%
Step-by-step explanation:
50 x 50 would be 100 and 50kg=100% and 10 x 2 = 20 so you used 20% therefore you have 80% left.
Answer:
80% of sugar left.
Step-by-step explanation:
If we start of with 50 kg of sugar and we take away 10 kg of sugar, we are left with [tex]50-10=40[/tex] kg of sugar.
To find the percentage of sugar left, we divide the decreased number by the original number.
[tex]\frac{40}{50} = \frac{4}{5} = 0.8[/tex]
If we have a decimal and want to convert it to a percentage, we multiply it by 100.
[tex]0.8\cdot100=80[/tex]
So, 80% of the sugar is left.
Hope this helped!
Plzzzz help me
Consider the function below.
Х
-1
0
1
2
(x)
3
oo
13
N
Which of the following functions could be the inverse of function ?
Answer:
i think its option b but im not sure
Please Help!!!! Please!!! A candlemaker prices one set of scented candles at $10 and sells an average of 200 sets each week. He finds that when he reduces the price by $1, he then sells 50 more candle sets each week. A function can be used to model the relationship between the candlemaker's weekly revenue, R(x), after x one-dollar decreases in price. This situation can be modeled by the equation y = (blank)x2 + (blank) x + (blank) Thank you SO MUCH!
Answer:
[tex]y=-50x^2+300x+2000[/tex].
Step-by-step explanation:
It is given that a candle maker prices one set of scented candles at $10 and sells an average of 200 sets each week.
[tex]Revenue=10\times 200=2000[/tex]
If he reduces the price by $1,then he sells 50 more candle sets each week.
[tex]Revenue=(10-1)\times (200+50)=9\times 250=2250[/tex]
If he reduces the price by x $1,then he sells 50x more candle sets each week.
[tex]R(x)=(10-x)\times (200+50x)[/tex]
[tex]R(x)=10(200+50x)-x(200+50x)[/tex]
[tex]R(x)=2000+500x-200x-50x^2[/tex]
[tex]R(x)=-50x^2+300x+2000[/tex]
It can be written as
[tex]y=-50x^2+300x+2000[/tex]
Therefore, the situation can be modeled by the equation [tex]y=-50x^2+300x+2000[/tex].
Answer:
This situation can be modeled by the equation y = -50 x2 + 300x + 2,000 and by graph Y.
Step-by-step explanation:
Your welcum
please helppppppp !!!
Answer:
64
Step-by-step explanation:
Supplementary angles add up to 180. Since you are given one, just subtract 116 from 180 to get 180 - 116 = 64.
How do you graph y=3x-4 on a coordinate grid
Answer:
You can look at the screenshot
Step-by-step explanation:
So one point of the line is (0, -4) and another point is (4/3, 0). Plot these points on a graph and draw a line.
0, -4 is from making x = 0, and then 4/3, 0 is from making y = 0.
Answer:
Step-by-step explanation:
You start the question at -4 on the coordinate plane and then you would go up 3 units and 1 unit to the right since the slope of the equation 3/1. You would get your graph like that. And to go backward you would go 3 units down and 1 unit to the left.
The Big Telescope Company sells circular mirrors. Their largest mirrors have radii of 5 meters and their smallest mirrors have radii of 1 meter. The cost of every mirror is proportional to the cube of the mirror's radius. What is the ratio of the total cost of 25 of the company's smallest mirrors to the cost of one of the company's largest mirrors? Express your answer as a common fraction.
Answer:
The answer is 1/5
Step-by-step explanation:
What is the y-intercept of the function, represented by the table of values
below?
x
у
-2
16
1
4.
2
0
4
-8
7
-20
Answer:
8
Step-by-step explanation:
The y-intercept (b) of the function is the point at which the line of the graph of the given values of the table above crosses the y-axis, for which x = 0.
To find the y-intercept of the function represented by the tables, recall the equation of a straight line which is given as:
y = mx + b
Where, m is the slope = (y2 - y1)/(x2 - x1)
b = the y-intercept we are to find
y and x could be any values of a point on the graph which is represented in the table of values.
First, let's find the slope (m):
Let's use any 2 given pairs of the values in the table above.
Using,
(1, 4), (2, 0),
y1 = 4,
y2 = 0
x1 = 1
x2 = 2
m = (0 - 4)/(2 - 1)
m = -4/1 = -4
=>Using, y = mx + b, let's find the y-intercept (b), taking any of the coordinate pairs from the table of values given.
Let's use, (1, 4) as our x and y values.
Thus,
4 = -4(1) + b
4 = -4 + b
Add 4 to both sides to solve for b
4 + 4 = -4 + b + 4
8 = b
y-intercept of the function represented by the table of values = 8
Find the output, y, when the input, x, is 666.
Answer:
y = 8
Step-by-step explanation:
The question is simply asking for the y-value when x = 6. We look at the graph when x = 6 and see what y-value it gives us. We find that when x = 6, we have y = 8.
please answer both questions with adding your work
Answer:
1- 1/3 x +3y=1
y=2/3 x-4
solution : x=39/7 , y=-2/7
3x-2y=11
-3x-y=4 solution x=1/3, y=-5
Step-by-step explanation:
1/3 x +3y=1
y=2/3 x-4
solve by substitution for y in the first equation:
1/3 x + 3(2/3 x-4)=1
1/3 x+6/3 x-12=1
7/3 x=12+1
7/3 x=13 ⇒7x=39 ⇒x=39/7=5 4/7
y=2/3 x -4
y=2/3 (39/7)-4
y=72/21 -4
y=-4/7
second problem:
3x-2y=11
-3x-y=4 solve by elimination: add two equation to eliminate x
3x-2y-3x-y=11+4
-3y=15
y=15/-3 ⇒y=-5
substitute y in one of the equations: 3x-2y=11
3x-2(-5)=11
3x+10=11
3x=11-10
x=1/3
3 8 3 ÷9=3, start fraction, 3, divided by, 8, end fraction, divided by, 9, equals
Answer:
1/24
Step-by-step explanation:
In the above question, we are asked to solve for:
start fraction, 3, divided by, 8, end fraction, divided by, 9, equals
Mathematically, this is represented as:
(3/8) ÷ 9
= (3/8) × 1/9
= 3/72
= 1/24
Therefore, start fraction, 3, divided by, 8, end fraction, divided by, 9, equals 1/24
Solve by the quadratic formula x^2 = 6x-4
Answer:
x=3+√5 or x=3−√5
Step-by-step explanation:
50 points PLZZZZZZZ HELP!!!!!!
Answer:
[tex]2^{-98}[/tex]
Step-by-step explanation:
[tex](\frac{2^{-10} }{2^{4} } )^{7}[/tex]
[tex](2^{-14})^{7}[/tex]
[tex]2^{-98}[/tex]
Answer:
[tex]\boxed{\frac{1}{2^{98}} }[/tex]
Step-by-step explanation:
[tex](\frac{2^{-10}}{4^2} )^7[/tex]
=> [tex](\frac{2^{-10}}{2^{2(2)}} )^7[/tex]
=> [tex](\frac{2^{-10}}{2^4} )^7[/tex]
Using law of exponents [tex]a^m/a^n = a^{m-n}[/tex]
=> [tex](2^{-10-4})^7[/tex]
=> [tex](2^{-14})^7[/tex]
=> [tex]2^{-98}[/tex]
=> [tex]\frac{1}{2^{98}}[/tex]
Write the equations after translating the graph of y = |x|:
one unit up,
Answer:
y = | x | + 1
Step-by-step explanation:
Given y then y + c represents a vertical translation of y
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here the shift is 1 unit up, thus
y = | x | + 1
Enter the coordinates of the vertex of the graph of y=2(x+5)^2
Answer:
The vertex is ( -5,0)
Step-by-step explanation:
The vertex form of a parabola is
y = a( x-h) ^2 +k
where ( h,k) is the vertex
y=2(x+5)^2
y=2(x - -5)^2 +0
The vertex is ( -5,0)
Answer:
vertex = (- 5, 0 )
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = 2(x + 5)² , that is y = 2(x + 5)² + 0 ← is in vertex form
with (h, k) = (- 5, 0 )
(ANSWER ASAP) The table represents the multiplication of two binomials. What is the value of A?
-3x
-3x2
-5x
-5x2
By observing the table it can be concluded that the value of A must be equal to 3x × (-x)
So, the value will be -3x^2
Answer:
B on EDG
Step-by-step explanation:
Sabendo que o perímetro de um polígono é obtido através da soma de todas as medidas dos seus lados, assinale a expressão que representa o perímetro da figura abaixo
Answer:
Perimeter = (4x + 12)
Step-by-step explanation:
As given in the question itself,
"Perimeter of a polygon is the sum of measures of all the sides of the polygon."
By this property expression to calculate the perimeter of the given polygon will be,
Perimeter = x + x + x + 2 + 2 + (x + 4) + 2 + 2
= 3x + 4 + (x + 4) + 4
= 4x + 12
Hence, Perimeter = (4x + 12)
If you have the answer pls screenshot and put each pare in one color pls
Step-by-step explanation:
(2 / 3)(-4)(9) = (2 / 3) * 9 * (-4) = 6 * (-4) = -24.
(-3 / 4)(7 / 8) = (-3 * 7) / (4 * 8) = -21 / 32.
(2 and 3/5)(7 / 9) = (10/5 + 3/5)(7/9) = (13/5)(7/9) = 91 / 45.
(5 / 16)(-2)(-4)(-4/5) = (5 / 16)(4 / 5)(2)(-4) = (1 / 4)(2)(-4) = (-1)(2) = -2.
Hope this helps!
ASAP!!! PLEASE help me with this question! It is really urgent...
Answer:
0.987
Step-by-step explanation:
use stat on calculator
y=4/3x-3 4x-6y=10 system of equations using substitution
Answer:
Point form (2, -1/3 Equation form: x=2, y= -1/3
Step-by-step explanation:
Combine 4/3 and x
Replace all occurrences of y in 4x−6y=10 with 4x/3 -3
Simplify 4x− 6 (4x/3 -3)
Solve for x in the second equation.
Simplify
4(2) /3−3
The sand used for sanding icy roads in the winter is stored in a conical-shaped structure with a radius of 10 m and a height of 16 m. Calculate the maximum amount of sand which can be stored in this structure.
Answer:
1,675.516
Step-by-step explanation:
The formula for a cone is V = pi r^2 h/3.
Plugging in the values of the radius and height, V = pi 10^2 16/3
Solving, you get:
V = pi 100 5.3333333
V = 1,675.516
In first half of a basketball game one team scored 45 points. This was 5/9 of their score for the whole game. How many points did the team score in the second half?
please help thx :)
Answer:
36
Step-by-step explanation:
45*(9/5)=81(The whole score)
81-45=36(the second half score)
Answer:
36
Step-by-step explanation:
Because you multiply 9*9=81, and then 81-45=36, Because 9*5=45, so the answer is 36.
Sarah serves at a restaurant and makes 20% of what she sells as tips. Her base salary is $10.20an hour. Each hour she sells an average of $60 of food and drinks. She also makes time and a half when she works over 8 hours during a single shift. Her work week contains three 10-hour shifts, one 5-hour shift, and one 11-hour shift. Using the same income deductions as stated in the previous question, what is Sarah's annual gross income and annual net incom
Sara works 46 hours per week
9 hours are overtime and 37 hours are regular time
pay rate at time and a half: 10.20∗1.5=15.30
regular hours plus overtime pay
37∗10.20=377.40
9∗15.30=137.70
Income due to tips
Total hours worked∗60per hour∗20%
46∗60∗.20=552
Weekly Income=Hourly income + tips
Weekly Income=377.40+137.70+552.00
Weekly Income=1067.10
Annual income=Weekly income∗52
Annual income=55489.20
If two digit number, the digit at unit place is
2 more the digit at tens place. If three times
the sum of digits is added to the number, the
number will be reversed. Find the number.
Answer:
24
Step-by-step explanation:
let the 2 digit number be ab then digit in unit place is 2 more than ten place
2 digit number is a a + 2 where b = a + 2.
Thus sum of digits = a + a + 2 = 2a + 2, then
ab + 3(2a + 2) = ba ← using place value of digits
10a + b + 6a + 6 = 10b + a, that is
16a + 6 + b = 10b + a ( subtract 10b + a from both sides
15a - 9b + 6 = 0 ← substitute b = a + 2
15a - 9(a + 2) + 6 = 0
15a - 9a - 18 + 6 = 0
6a - 12 = 0 ( add 12 to both sides )
6a = 12 ( divide both sides by 6 )
a = 2
Thus the number is 24
What is the standard deviation of the data set {6, 8, 6, 11, 8, 8, 9}? round to the nearest tenth
Answer:
8
Step-by-step explanation:
the one that the number has are the same is the data
The standard deviation of the data set is 1.6
What is Standard Deviation?
The standard deviation is a measure of the amount of variation or dispersion of a set of values.
Here, given data
data(x) frequency(f) xf d² = (x-mean)² fd²
6 2 12 4 8
8 3 24 0 0
9 1 9 1 1
11 1 11 9 9
mean = ∑xf / ∑f
= (12+24+9+11)/(2+3+1+1)
= 56 / 7
mean = 8
Variance = ∑fd²/∑f
= 18 / 7
= 2.57
Standard Deviation = √variance
= √2.57
= 1.6
Thus, the standard deviation of the data set is 1.6
Learn more about Standard deviation from:
https://brainly.com/question/14747159
#SPJ2
I NEED SOMEONES HELP HELP ME PLEACE
Answer:
He needs to paint 12 inches in height
and 42 inches in width
Clark collected 200 fruits from his orchard. 56 of the fruits were durians and the rest were mangoes. What percentage of the fruits were mangoes?
Answer:
72%
Step-by-step explanation:
First find the number of mangoes
200 -56 = 144
Take the number of mangoes over the total
144/200
.72
Change to percent by multiplying by 100
72%
Answer:
72%
Step-by-step explanation:
If 56 of the 200 fruits were durians, then [tex]200-56[/tex] of the fruits were mangoes. Therefore, 144 of the fruits were mangoes.
Now we can set up a percentage proportion to find what percent of 200 144 is.
[tex]\frac{144}{200} = \frac{x}{100}[/tex]
Multiply the cross values and divide by the value thats diagonal to the variable.
[tex]144\cdot100=14400\\14400\div200=72[/tex]
So, the answer is 72%
Hope this helped!
41. In the diagram, a l b. Find the value of x. 55° (x+ 70)
Answer:
55°
Step-by-step explanation:
The corresponding image, which I will attach, is missing in order to solve the exercise.
We know that the flat angle is 180 °, which we know to be the one that is formed with the horizontal, therefore the following equation remains:
55 ° + (70 ° + x °) = 180 °
we solve x °
x ° = 180 ° - 55 ° - 70 °
x ° = 55 °
So the value of x is 55 °
A. 3 B. 23√3 C. 33–√ D. 63–√
Answer:
I think its A.3not sure
2. Hessa was playing a computer game. She scored 43 points in Round 1 and 26 points in Round 2. Which sum could she use to add the points together? a. 40 + 20 + 3 + 6 b. 4 + 3 + 2 + 6 c. 40 + 30 + 20 + 60 d. 30 + 4 + 60 + 2
Answer:
a. 40 + 20 + 3 + 6Step-by-step explanation:
Points scored by Hessa is as shown below;
Round 1 = 43 points
Round 2 = 26 points
Total points for both rounds = 43 + 26 = 69 points
To determine the sum she could use to add the points together, we must select the sum that will give us the same total of points for both rounds i.e 69 points.
The Round 1 score (43 pt)can also be expressed as (40+3) points
The Round 2 score (26 pt)can also be expressed as (20+6) points
The sum she could use to add the points together will be (40+3)+(20+6)
which is also equal to 40 + 20 + 3 + 6 = 69points
Hence, option a is correct