Answer:
x = 0, 1/3
Step-by-step explanation:
The greatest common factor is 2x. Factoring that out, we have ...
2x(3x -1) = 0
The solutions will be the values of x that make the factors 0.
x = 0
3x -1 = 0 ⇒ x = 1/3
The solutions are x = 0, 1/3.
_____
Check
x = 0 ⇒ 6·0² -2·0 = 0 ⇒ 0 - 0 = 0 . . . true
x = 1/3 ⇒ 6(1/3)² -2(1/3) = 0 ⇒ 6/9 -2/3 = 0 . . . true
The cost, C, in dollars to produce 3 pounds of chocolate candy
is represented by the linear function C (x) = 3.5x+ 800.
Find the number of pounds produced if the cost is $842.00.
Round to the nearest tenth of a pound.
469.1
h
O 3,747.0
38.5
12.0
o 1.2
Answer:
(c) 12 pounds
Step-by-step explanation:
The cost of production is given as ...
3.5x +800 = 842
3.5x = 42 . . . . . . . . subtract 800
x = 12 . . . . . . . . . . . divide by 3.5
The number of pounds produced is 12.
What is 2 1/3 divided by 8 1/2
Answer:0.27450980392
Step-by-step explanation: looked it up, trust
Simplify the expression.
4+ 5(3x - 2) – 3x
Help plsss and no links plsss
Remember no links
Step-by-step explanation:
→ 4 + 5(3x - 2) - 3x
→ 4 + 15x - 10 - 3x
→ 12x - 6
therefore, option A is correct.
hope this answer helps you dear!
The required simplified solution of the given expression is 12x -6. Option A is correct.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
= 4 + 5(3x -2) - 3x
Following the distributive property,
= 4 + 15x - 10 - 3x
Following the associative property,
= 4 - 10 + 15x - 3x
= -6 + 12x
= 12x - 6
Thus, the required simplified solution of the given expression is 12x -6. Option A is correct.
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Select all possible solutions for 2x +7
[tex] 2x + 7\leqslant 3 \times - 5[/tex]
Answer:
Select all options of x greater than or equal to 12
Step-by-step explanation:
2x + 7 <= 3x - 5
7 + 5 <= 3x - 2x
12 <= x
x >= 12
The population in Mittsville since 2000 is modeled by the function, P(x) = 20000 x 0.93x where x refers to the number of years since 2000. Complete the following sentence.
The population has been ( ) every year.
A= increasing
B= Decreasing
There are 135 skiers in line to ride the chair lift. If each chair seats 7 people, how many skiers will be on the last chair?
Answer:
19
Step-by-step explanation:
[tex]135/7=19.28[/tex]
A system of two equations is shown below:
Equation C: a = 2b + 7
Equation D: a = 5b − 3
What value of a can be substituted into equation D to solve the system of equations?
(look at picture for details)
Answer:
2b+7
Step-by-step explanation:
List the first 10 triangular numbers
Which of the following statements is TRUE?
A. The slope of the line 3y - 2x = 4 is -2/3
B. The slope of the line y = 5 is undefined.
C. The graph of the line x = 2/3 is parellel to the x axis
D. The line that falls from left to right has a negative slope.
Pls Help :))
Answer:
I believe that B is true because the slope of y=5 is 0 so there isnt really a slope for it.
Step-by-step explanation:
Find y'([tex]\sqrt[3]{3}[/tex]) where y = y(x) is an implicit function of x given by 2[tex]x^{3}[/tex]+[tex](x^{3}-3)[/tex]·sin(2πy)−3y = 0.
Given
2x³ + (x³ - 3) sin(2πy) - 3y = 0
we first notice that when x = ³√3, we get
2 (³√3)³ + ((³√3)³ - 3) sin(2πy) - 3y = 0
2•3 + (3 - 3) sin(2πy) - 3y = 0
6 - 3y = 0
3y = 6
y = 2
Differentiating both sides with respect to x gives
6x² + 3x³ sin(2πy) + 2π (x³ - 3) cos(2πy) y' - 3y' = 0
Then when x = ³√3, we find
6(³√3)² + 3(³√3)³ sin(2π•2) + 2π ((³√3)³ - 3) cos(2π•2) y' - 3y' = 0
6•³√9 + 3•3 sin(4π) + 2π (3- 3) cos(4π) y' - 3y' = 0
6•³√9 + 0 + 0 - 3y' = 0
3y' = 6•³√9
y' = 2•³√9
(that is, 2 times the cube root of 9)
can you plz help out
Try this option:
1) q: What is the slope of the line and what does it mean in this situation?
a: the slope is 2.5 and it means 'ammount of the rain is 2.5 mm. per hour'.
2) the slope of the line is '2.5'
3) this means that '2.5' mm. of the rain falls every '1' hour.
Why is a two-way table helpful for looking at data?
Answer:
Because they are often used to analyze survey results.
Step-by-step explanation:
Answer:
It shows what percent of data points fit in each category
Aidan wants to rent a car while on a trip to Europe. He can rent a sedan that holds 70.1 liters of gasoline, or a sports car that holds 4,930 centiliters of gasoline. How many more liters of gasoline can the sedan hold?
what is x and y in the equation 9x + 20y > 120
Answer:
x= 120-20y/9
Step-by-step explantion:
what is the interval between each tick mark on the top number line
Answer:
a. 1
b. 0.1
Step-by-step explanation:
Solve for x. The triangles in each pair are similar.
AJKL ~ AQRS
8x + 10
L L
K
110
Q
9
S
R
11
x=
Answer:
look at the photo...............Maria is 62 inches tall. If her sister Eva was 1.5 inches taller, she would be exactly half Maria's height. How tall is Eva? Enter your answer as a decimal in the box.
Answer:
Step-by-step explanation:
Let Eva's height be x
62* 0.5 = x + 1.5
31 = x + 1.5 Subtract 1.5 from both sides.
31 - 1.5 = x
x = 29.5
Eva is 29.5 inches tall.
Answer:
29.5
Step-by-step explanation: I took the test
Can you help me?????
Answer:
180 - (55+48) =77
180 -77 =103
6
What value of x makes the equation -5x - (-7.4x) = -2(3x + 4) true?
F
X = 3
G
* = 5
H
J
x
Step-by-step explanation:
-5x - (-7.4x) = -2(3x + 4)
-5x + 28x = -6x - 8
(-5 + 28 + 6)x = -8
29x = -8
x = -8/29
The length of one of the sides of a triangle is equal to 1m, the measurement of adjacent angles are 30º and 45º. Give exact measurements for the lengths of the other sides of the triangle.
The exact measurements for the lengths of the other sides of the triangle are 0.52 and 0.73m
To get the measure of the lengths of the other sides of the triangle, we need to get the third side first as shown:
Since the sum of the interior angle of a triangle is 180 degrees, hence;
30 + 45 + x = 180
75 + x = 180
x = 180 - 75
x = 105 degrees
Get the measure of the other sides using the sine rule;
1/sin 105 = x/sin 30 = y/sin 45
Get the measure of angle x
1/sin 105 = x/sin 30
x sin 105 = sin 30
x sin 105 = 0.5
x = 0.5/sin 105
x = 0.52m
1/sin 105 = x/sin 30 = y/sin 45
Get the measure of angle x
1/sin 105 = y/sin 45
y sin 105 = sin 45
x sin 105 = 0.0.7071
x = 0.7071/sin 105
x = 0.73m
Hence the exact measurements for the lengths of the other sides of the triangle are 0.52 and 0.73m
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Emerson is making costumes for the
school play. She needs 3 1/2 square
yards of fabric to make each costume.
If she uses a total of 46 2/3 square
yards of fabric, how many costumes
does she make?
9514 1404 393
Answer:
13 costumes
Step-by-step explanation:
The amount of fabric used is the product of the amount per costume and the number of costumes.
A = na . . . . . A = total area; n = number of costumes; 'a' = area per costume
46 2/3 = n(3 1/2)
n = (46 2/3)/(3 1/2) = (140/3)/(7/2) = (140/3)(2/7) = 40/3 = 13 1/3
Apparently there is some waste, as Emerson used more fabric than necessary to make 13 costumes.
The Hu family goes out for lunch, and the price of the meal is $51. The sales tax on the meal Is 7%, and the
family also leaves a 15% tip on the pre-tax amount.
What Is the total cost of the meal?
The total cost of the meal is $
9514 1404 393
Answer:
$62.22
Step-by-step explanation:
Let m represent the pre-tax, pre-tip price of the meal. Then the total cost is ...
m + tax + tip
= m + 7%·m +15%·m
= m(1 +7% +15%) = 1.22m
= 1.22($51) = $62.22
The total cost of the meal is $62.22.
-5/12 x 5/8=???????????????????????????????????????????
Answer:
-25/96
Step-by-step explanation:
simplify the expression
Find the surface area of the following square pyramid.
n^2- n - 12 = (n + 3)(___)
Answer:
n^2 - n - 12 = (n+3)(n-4)
Step-by-step explanation:
3 times - 4 = -12 ( two numbers when multiplied = -12, when added=-1)
3 + -4 = -1
1. The graph below shows the height of an object that has been launched off a 50-foot-high wall. After approximately how many seconds does the object reach its maximum height?
1.8 seconds
4.4 seconds
3.7 seconds
2 seconds
Answer: Its 2 seconds
Step-by-step explanation:
I took the quiz
The object reach its maximum height at 2 seconds.
WE are the given curve shows the height of an object which has been launched from 50 foot high wall with respect to time.
So we can see that the curve initially starts from the height of 50 feet.
Here in the middle the height of the object is maximum and immediately after that the height decreased in the graph.
At that maximum height time from the graph we can find that the height of the object goes upto 106 feet.
We can see in the graph that it hits the ground when the height is equal to 106.
t = 2 seconds
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Rachel has 320 books she keeps 45 books and packs up the rest each box will hold 23 books how many boxes will he need to pack all his books
Answer:
Rachel will need 12 boxes to pack up their books.
Step-by-step explanation:
320 - 45 = 275
275 divided by 23 = 11.95
round to 12
Hero is in the bowling club. There are 14 students in the club. Of the 14 students, through will be picked at random to attend an award banquet. What is the probability that hero will not be paid to attend the banquet?
The volume of a rectangular prism is equal to
the area of the rectangular faces multiplied by
the prism's height. The volume of a
rectangular prism can be expressed as the
following quadratic x3 + 125 . Factor the
quadratic to determine the area of the
rectangular faces and the prism's height. Note:
Use ^to represent exponents, for example,
.
x^2.
Answer:
ang answer mo po ay 345prism po
The area of the rectangular is represented by quadratic function is (x²-5x+25).
What is a Cubic equation?Cubic equations are polynomials of degree3.
That means, the maximum degree of polynomial is three.
And the standard form of cubic equation is;
f(x) = ax³ + bx² +cx +d, where a, b, c and d are constant coefficients and a ≠ 0.
Given:
The volume of a rectangular prism is equal to the area of the rectangular faces multiplied by the prism's height.
The volume = height x (the area of the rectangular) ..... equation 1
The volume of a rectangular prism can be expressed as the following cubic function x³ + 125.
We can simplify the function,
x³ + 125,
= x³ + 5³
Here, we can use the formula,
x³+y³ = (x+y) (x²-xy+y²)
So,
x³ + 5³,
= (x+5) (x²-5x+25)
Comparing with the equation 1,
we get,
The height = (x+5) and the area of the rectangular = (x²-5x+25).
Therefore, (x²-5x+25) is the area of the rectangular.
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please help will mark as brainliest pls show work
9514 1404 393
Answer:
y = 1/5x +8
Step-by-step explanation:
The slope of the perpendicular line will be the opposite reciprocal of the slope of the given line:
m = -1/(-5) = 1/5
The y-intercept (b) can be found from this and the given point:
b = y -mx
b = 9 -(1/5)(5) = 8
Then the slope-intercept equation can be written ...
y = mx +b . . . . . . line with slope m and y-intercept b
y = 1/5x +8
_____
Additional comment
Since the question asks for "an equation," the problem can be solved even more quickly using the point-slope form of the equation of a line.
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -9 = 1/5(x -5) . . . . . an equation for line j
