Answer:
x
2
+
12
x
−
64
=
0
⟹
x
2
+
12
x
=
64.
x
2
+
12
x
=
64
⟹
(
4
∗
1
)
(
x
2
+
12
x
)
=
(
4
∗
1
)
64
⟹
4
x
2
+
48
x
=
256
All this is straight forward. This method now requires you to add the square of the original coefficient of x to both sides of the equation.
The original coefficient is 12 so its square is 144.
4
x
2
+
48
x
=
256
⟹
4
x
2
+
48
x
+
144
=
256
+
144
=
400
⟹
4
(
x
2
+
12
x
+
36
)
=
20
2
⟹
2
2
(
x
+
6
)
2
=
20
2
.
Step-by-step explanation:
Answer:
x=43/12, 11/12
Step-by-step explanation:
hotel has 44 storeys Each storey has 18 rooms
What is the total number of rooms in the hotel?
Answer:
792
Step-by-step explanation:
Find the common ratio for the following sequence .1, .01, .001
Answer:
0.1
Step-by-step explanation:
The common ratio of a sequence is the number you multiply one term to get the next one. Here, we multiply 0.1 by 0.1 to get 0.01, and 0.01 by 0.1 to get 0.001, so our common ratio is 0.1.
A mom buys a water bottle and a jersey for each of the 10 players on the volleyball team. Each jersey costs $6.70. The mom spends a total of $221 for water bottles and jerseys. Enter an equation that modes the situation with u, the cost of one water bottle.
Answer:
one water bottle cost 15.4 dollars
Step-by-step explanation:
6.7 times 10 is 67
therefore the mom spent 67 dollars on jerseys
221 (total) minus 67 ( jersey) = 154
therefore she spent 154 dollars on water
154 divided by 10
=15.4
the water bottles cost 15.4 dollars
Justin is married with one child. He works 40 hours each week at a rate of $16 per hour. His wife began working part time after their daughter was born, but still contributes about $350 to the cash inflow each month. Their monthly cash outflow is generally about $3,000. They have a balance of $2,000 in their savings account. Justin has retirement contributions taken out of his paycheck at work. They have renter’s, car and life insurance coverage.
Based on this information, what part of their financial plan should Justin and his wife work on?
Answer: it’s A
Step-by-step explanation: Edge 2021
At an assembly 7 out of the first 10 students who entered the gym were carrying a backpack.
Based on this information, if 700 students were at the assembly, how many students could be
expected to be carrying a backpack?
Answer:
Step-by-step explanation:
700(7/10)
4900/10
490 students carrying backpack
que es una fracion ?
ayudenme plisssssssssssss
Answer:
Parte dividida o separada de un todo considerada por separado.
Step-by-step explanation:
Answer:
Una cantidad numérica que no es un número entero.
Step-by-step explanation:
What is the slope of a line parallel to the line whose equation is 6x - y = 1. Fully
reduce your answer.
Answer:
6x
Step-by-step explanation:
To find a parallel line, you will need to put everything into the slope intercept form(y=mx+b).
When you do this, you should get -y=-6x+1. You cannot have a negative y, so you will divide everything by -1 to get y=6x-1.
Two lines are parallel when their slope is the same. The slope in this equation is 6.
A recipe uses 1 1/4 cupz of milk to make 10 servings. If the same amoumt of milk is used for each serving, how many servings can be made using 1 gallon of milk?
Answer:
128 servings.
Step-by-step explanation:
1 Gallon = 16 Cups
16/1.25 = 12.8
12.8 * 10 = 128 Servings.
Question 5 of 10 For what value of x is the rational expression below equal to zero? (x-3)(x + 1 A-3 B. -1 C. 1 D. 3
Answer:
x = 3
Step-by-step explanation:
(x - 3) (x - 1) = 0
(x * x) - 2x + 3 = 0 ( quadratic equation)
[tex] {a}^{2} + bx + 3 = 0[/tex]
by the formula above (on the pic) x = 0
you can check it!
How do I convert 83, 000, 000 to a scientific notion?
Answer:
Scientific notion: 83M meanin million
Answer:
[tex]8.3[/tex] x [tex]10^7[/tex]
Step-by-step explanation:
83 000 000 × 1 = 83 000 000
But 1 can be written as [tex]\frac{10^7}{10^7}[/tex]
83000000 × [tex]\frac{10^7}{10^7}[/tex] = 83000000 × 1 = 83000000
[tex]\frac{83000000}{10^7}[/tex] x [tex]10^7[/tex] = 83000000 × 1 = 83000000
Divide the denominator of [tex]10^7[/tex] into 83000000
[tex]8.3[/tex] x [tex]10^7[/tex] = 83000000
what is the area of the triangle shown ?
A. 12in
B. 24in
C. 36in
D. 48in
Answer:
B 24 inches
hope this helps UwU
What fraction of an hour is 22 minutes?
Give your answer in its simplest form
Answer:
11 ÷ 30
Step-by-step explanation:
The computation of the fraction of an hour of 22 minutes is shown below:
As we know that
In one hour there is 60 minutes
Now the fraction would be
= 22 ÷ 60
= 11 ÷ 30
Determine the intercepts of the line.
y + 5 = 2(x + 1)
y-intercept:
T-intercept:
Answer:
3 5 minus 2 equal 3 plus 1 equals 4
Jonny is writing a program for a video game. For one part of the game he uses the
rule given below to move objects on the screen. Showing all your work, give the output that the rule gives for the inputs.
(x, y) --> (x-8.2, y+3.6)
First input: (7.6, 9.3)
Second input: (10.5, -2.1)
Answer:
[tex](-0.6,12.9)[/tex]
[tex](2.3,1.5)[/tex]
Step-by-step explanation:
Given: For one part of the game, Jonny uses the rule [tex](x,y)[/tex] → [tex](x-8.2,y+3.6)[/tex] to move objects on the screen.
To find: outputs for the given inputs
Solution:
Given rule is [tex](x,y)[/tex] → [tex](x-8.2,y+3.6)[/tex]
Put the first input as [tex](x,y)=(7.6,9.3)[/tex]
Output is [tex](x-8.2,y+3.6)=(7.6-8.2,9.3+3.6)=(-0.6,12.9)[/tex]
Given rule is [tex](x,y)[/tex] → [tex](x-8.2,y+3.6)[/tex]
Now, put input the second input as [tex](x,y)=(10.5,-2.1)[/tex]
Output is [tex](x-8.2,y+3.6)=(10.5-8.2,-2.1+3.6)=(2.3,1.5)[/tex]
Answer:
(-3.2 , 12.3)
(0.7 , 3.6)
The rule :
(x, y)→(x−7.5, y+6.8)
For the x - coordinate ; Subtract 7.5
For the y - coordinate `; add 6.8
First input : (4.3, 5.5)
Output :
x = 4.3 - 7.5 = - 3.2
y = 5.5 + 6.8 = 12.3
Output = (4.3, 5.5) →(-3.2 , 12.3)
Second input : (8.2, -3.2)
Output :
x = 8.2 - 7.5 = 0.7
y = - 3.2 + 6.8 = 3.6
Output = (8.2, -3.2)→(0.7 , 3.6)
The outputs obtained are :
(-3.2 , 12.3) and (0.7 , 3.6)
Can anyone help me with my homework
Step-by-step explanation:
1 = (-2,3)
2= (1,2)
3= (4,1)
4= (3,-3)
y = 6 - 31
y =- 7x + 21
Solve by elimination.
multiply the lower equation by negative 1.
-y=7x-21
-y+y=o
new equation is
7x+6-52=0
6-52 is -46
-7x=-46
divide by -7
x=6.57...
plug it back in
y= 7(6.57)+21
7*6.57= 46
y=46+21
y=67
(might be wrong, I tried)
Answer:
Step-by-step explanation:
its is y=67 or it might be y=7 i
You are riding your bicycle that has tires which are 26 inches in diameter. How many times will the wheels need to go around in order to travel 100 feet?
9x^3−64 to factored form
Answer: its 3(3x^3-8)
Step-by-step explanation:
Select the term for what a manufacturer spends for goods or services.
A.
cost
B.
price
C.
markup
Answer:
A: Cost
Step-by-step explanation:
Plato
The area of a circle is 153.86 square meters. What is the diameter of the circle? Use 3.14 for π.
Answer:
r = 7
Step-by-step explanation:
You first need to know the formula for area of a circle. It is:
Area = π*r^2 (π = pi, r = radius)
Plug in for the given values:
153.86 = 3.14 * r^2
49 = r^2 (Divided both sides by 3.14)
r = 7
Hope this helps! <3
If f(x) = x* and g(x) = 3+8x?, find g(f(x)).
g(8x-3)=x
have a good day
A homeowner is building a flower bed in the backyard. He plans to put a layer of fertilizer over the entire flower
bed. The diagram shows the flower bed and its dimensions in feet.
4w? + 3w - 1
5w - 2
Which expression represents the area in square feet that the homeowner will cover with fertilizer?
Answer:
The answer is D
Step-by-step explanation:
The 4w^2 stays the same because there are no like factors, then you add the 5w and 3w then get 8w...-1+ (-2) is -3
The polynomial that represents the area in square feet will be 20w³ + 7w² - 11w + 2. Then the correct option is B.
What is a polynomial?A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed.
A mortgage holder is building a blossom bed on the lawn. He intends to put a layer of compost over the whole bloom bed. The chart shows the blossom bed and its aspects in feet.
4w² + 3w - 1 and 5w - 2
The polynomial that represents the area in square feet will be given as,
⇒ (4w² + 3w - 1) x (5w - 2)
⇒ 20w³ + 15w² - 5w - 8w² - 6w + 2
⇒ 20w³ + 7w² - 11w + 2
The polynomial that represents the area in square feet will be 20w³ + 7w² - 11w + 2. Then the correct option is B.
More about the polynomial link is given below.
https://brainly.com/question/17822016
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Match each equation with the appropriate type of factoring.
1.
12x2−44x+7
2.
18x3−2x2+27x−3
3.
x2+5x−36
4.
4x2−81
5.
32x3−4
Difference of Squares
GCF
Grouping
Quadratic Trinomial a≠1
Quadratic Trinomial a=1
Mrs. Crosland asked students to factor the expression 282
8. The students offered the answers shown in the box.
Carlos:
Danny
Trener
2(14%
74x1)
407x - 2)
Which student(s) offered answer(s) equivalent to the original expression?
only Danny
only Irene
both Carlos and Danny
both Carlos and Irene
Well formatted version of the question can be found in the picture attached below :
Answer:
Both Carlos and Irene
Step-by-step explanation:
Given the expression (28x - 8)
Carlos : 2(14x - 4)
Danny : 7(4x - 1)
Irene : 4(7x - 2)
The factored expression Given by Carlos, Irene and Danny can be expanded to check if it gives the same expression as that Given in the question :
Carlos :
2(14x - 4)
2*14x - 2*4
28x - 8
Danny :
7(4x - 1)
7*4x - 7*1
28x - 7
Irene :
4(7x - 2)
4*7x - 4*2
28x - 8
From.the expanded solutions obtained ;
Both Carlos and Irene's solution corresponds to the factored form of the original equation and are Hence correct
Jackson’s mother buys 4 packs of hamburger meat.Each pack contains 4/6 of a pound of meat.How much total meat did she buy?
Answer:
8/3 total or 2 2/3
Step-by-step explanation:
4 x 4/6 is the same thing as...
4/1 x 4/6
Multiply straight across...
16/6
Simplify...
8/3 total or 2 2/3
:)
What is the median of the data set?
WHAT IS MEDIAN OF THE FOLLOWING SET WILL MARK BRAINLIEST
6
5
5.5
4
Answer:
5.5 is the median
Step-by-step explanation:
Answer:
5.5 is the answer ;)
Step-by-step explanation:
1. What is solution to 0.2(6x - 12) = 0.3(6 - 4x)
Answer:
x = 1.75Explanation:
0.2(6x - 12) = 0.3(6 - 4x)
Simplify both sides of the equation0.2(6x − 12) = 0.3(6 − 4x)
(0.2)(6x) + (0.2)(−12) = (0.3)(6) + (0.3)(−4x) (Distribute)
1.2x + −2.4 = 1.8 + −1.2x
1.2x − 2.4 = −1.2x + 1.8
Add 1.2x to both sides1.2x − 2.4 + 1.2x = −1.2x + 1.8 + 1.2x
2.4x − 2.4 = 1.8
Add 2.4 to both sides2.4x − 2.4 + 2.4 = 1.8 + 2.4
2.4x = 4.2
Divide both sides by 2.42.4x / 2.4 = 4.2 / 2.4
x = 1.75When a certain basketball player takes his first shot in a game he succeeds with prob. 1/3. If he misses his first shot, he loses confidence and his second shot will go with prob. 1/4. If he misses his first 2 shots, his third shot will go with pro. 1/5. If he misses his first 3 shots, his fourth shot will go with prob. 1/6. If he misses his first 4 shots, the coach will remove hom from the game. Assume that the player keeps shooting until he succeeds or he is removed from the game. Let X denote the number of shots he misses until his first success or until he is removed from the game.
Required:
a. Compute the p.m.f. of X
b. Compute E[X]
Answer:
X : ____ 0 ____1 ____ 2 ____ 3 ____ 4
P(x) : _ 0.333_0.167 _0.100_0.067__0.333
E(X) = 1.9
Step-by-step explanation:
From the question above:
X ; number of misses
For :
X = 0 ; P(X = 0) = 1/3 = 0.333
X = 1 ; misses first ; succeeds on second
P(X = 1) = 2/3 * 1/4 = 2/12 = 1/6 = 0.167
X = 2 ; misses first, misses second, succeeds on third
P(X = 2) = 2/3 * (1 - 1/4) * 1/5 = 2/3*3/4*1/5 = 6/60 = 1/10 = 0.10
X = 3 :misses first, misses second, misses third succeeds on fourth
P(X = 3) = 2/3 * 3/4 * (1 - 1/5) * 1/6 = 2/3*3/4*4/5*1/6 = 24/360 = 0.067
X= 4
P(X =4) = 2/3 * 3/4 * 4/5 * 5/6 = 120/ 360 = 1/3 = 0.333
X : ____ 0 ____1 ____ 2 ____ 3 ____ 4
P(x) : _ 0.333_0.167 _0.100_0.067__0.333
E(X) :
Σx*p(x) = (0*0.333) + (1*0.167) + (2*0.100) + (3*0.067) + (4*0.333)
0 + 0.167 + 0.2 + 0.201 + 1.332
= 1.9
9z + 3 + 2z + z - 2, name one coefficent
Answer:
9, 2, 1
Step-by-step explanation:
coefficient is the number multiplied to a variable
so 9 and 2 and 1 are coefficients
Answer:
Even though you said only one coefficient, 9 and 2 are both coefficients in this expression.
Step-by-step explanation:
The graph shows the relationship between the number of years after a car is purchased
and the car's value
Which statement correctly describes the relationship shown in the graph?
A)
The car's initial value is $18,000, and the car's value increases $2,000 each year.
B)
The car's initial value is $18,000, and the car's value increases $6,000 each year
C)
The car's initial value is $30,000, and the car's value decreases $2,000 each year.
D)
The car's initial value is $30,000, and the car's value decreases $6,000 each year
Answer:
C. The car's initial value is $30,000, and the car's value decreases $2,000 each year.
Step-by-step explanation:
first I looked at the graph and saw that the y-intercept(car's initial value) was 30,000 which allowed me to eliminate A and B. Then found the slope by using the [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]= slope formula. [tex]\frac{24,000-30,000}{3-0}=\frac{-6,000}{3}=-2,000[/tex]. This tells us that the slope is -2,000 which means that the value decreases by 2,000 each month. So the correct answer is C.
The car's initial value is $30,000, and the car's value decreases by $2,000 each year. the correct answer would be an option (C).
What is the slope of the line?The slope of a line is defined as the gradient of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
The given graph shows the relationship between the number of years after a car is purchased and the car's value.
As per the graph, we take two points (0, 30,000) and (6, 18,000)
Here slope of the given graph is equal to the car's value decreases by each year.
So slope = (18,000 - 30,000)/(6-0) = -12,000/6 = -2000
This means the car's value decreases by $2,000 each year.
Thus, the car's initial value is $30,000, and the car's value decreases by $2,000 each year.
Learn more about the Lines here:
brainly.com/question/14511992
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