Answer:
x = 3, x = 4
Step-by-step explanation:
Given
[tex]\frac{24}{x}[/tex] = 14 - 2x ( multiply through by x , x ≠ 0 )
24 = 14x - 2x² ( subtract 14x - 2x² from both sides )
2x² - 14x + 24 = 0 ( divide through by 2 )
x² - 7x + 12 = 0 ← in standard form
(x - 3)(x - 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x - 4 = 0 ⇒ x = 4
A customer wants to put in a concrete driveway that is 10" thick. How much concrete would it take to pour a driveway that measures 18' by 42'? Express your answer in cubic yards.
Answer: 22.59 yd^3
Step-by-step explanation:
First the volume of a cuboid whose measurements are:
L = length, W = width and T = thiknes is:
V = L*W*T.
We want to calculate the volume of a shape that is:
10'' thick, 18' wide and 42' long.
This notation is:
(') = feet
('') = inches
The first step is to write our 3 numbers in the same units, then we can use that:
1 inch = 0.083 ft.
Then 10 inches are equal to:
10'' = 10*(0.083 ft) = 0.83 ft = 0.83'
Then the volume of concrete needed will be:
V = 0.83ft*18ft*42ft = 627.48 ft^3
But we want this expressed in yd^3
1ft = 0.33 yd
then
1ft^3 = (0.33 yd)^3 = 0.036 yd^3
then 627.48 ft^3 can be written as:
627.48 ft^3 = 627.48*( 0.036 yd^3) = 22.59 yd^3
HELP QUICK!!!! PLEASE FIVE AN EXPLANATION ALSO!!! HELP!!!
Answer:
A) 2
Step-by-step explanation:
what expression is equivalent to 2x+3y-x-(8+1)
Answer:
Step-by-step explanation:
2x + 3y - x - 9
x + 3y - 9
Select the equivalent expression.
Answer:
Step-by-step explanation:
a^-4 x 8^14
the solution is C
What is the domain of the function represented in the graph?
Answer:
0-t-14
Step-by-step explanation:
Its the first one I don't want to type
I need help with this problem, i am confused and don't know what to do.
Problems a through c are asking you what the values would be at those values.
What will the value of [tex]f(x)[/tex] be at [tex]x=0[/tex]? Let's look at the graph.
It seems at [tex]x=0[/tex], [tex]f(x)=0[/tex], meaning that [tex]f(0)=0[/tex]
Let's do the same for the others.
At [tex]x=-3[/tex], [tex]f(-3)=2[/tex]
At [tex]x=2[/tex], [tex]f(2)=-4[/tex]
For the last question, it is giving us the [tex]f(x)[/tex] value and asking us which [tex]x[/tex] values would give us that.
At [tex]f(x)=3[/tex], [tex]x=-2[/tex].
*Note* this function is continuous to the right, meaning that there is another point where [tex]f(x)=3[/tex].
Hope this helps.
頑張って!
Anthony Harris earns $0.50 per hamper of heirloom tomatoes. One day he picked 43 hampers-worth. What was his total pay that day?
Answer:
$21.50
Step-by-step explanation:
We want to find Anthony's pay for 43 hampers.
We can multiply his pay per hamper by the number of hampers picked.
pay per hamper * hampers picked
He earns $0.50 for each hamper and he picked 43 hampers. Therefore, we can multiply $0.50 and 43 to find his pay for the day.
$0.50 * 43
$21.5 = $21.50
Anthony's total pay that day is $21.50.
Plz help me I'm real confused haha
Answer:
3 = D
4 = I
6 = G
7 = J
8 = B
9 = A & C
10 = H
Step-by-step explanation:
6x^2y^3 + 9xy^4 - 12x^3y
Answer:
3xy(2xy2+3y3−4x2)
Step-by-step explanation:
8(2f-3)=4f
Can anybody give an explanation and answer ? Algebra 1 ?
Answer:
2
Step-by-step explanation:
16f - 24 = 4f
12f = 24
f = 2
symplify 2x2 + 4xl-5x2 +9
Answer:
Simplify the expression.
− 3 x² + 4 x l + 9
Answer:
7
Step-by-step explanation:
The answer turns out to be 7
Please help! On my 2nd attempt again. '-'
Answer:
9?
Step-by-step explanation:
just try imputing number until you get the closet to what you need(Don't Take my answer as a fasho I haven't done this in a while
If f and g are functions, then (fog)(x) is always equal to (gof)(x)
true or false
Answer:
False
Step-by-step explanation:
Here is a counter example:
● f(x) = x^2
● g(x) = 3x
● (f○g)(x) = (3x)^2 = 9x^2 (1)
● (g○f)(x) = 3(x^2) = 3x^2 (2)
We can see that (1) and (2) aren't equal to each others.
The given statement is False
The following information should be considered:
[tex]f(x) = x^2\\\\g(x) = 3x\\\\(fog)(x) = (3x)^2 = 9x^2 (1)\\\\(gof)(x) = 3(x^2) = 3x^2 (2)[/tex]
based on the above calculations we can see that equation (1) and equation (2) are not equal to each other.
Learn more: https://brainly.com/question/1605083?referrer=searchResults
WHy is an assingment so hard or at least why do they make it difficult
Answer:
for the teacher to see are u a hard working student
Step-by-step explanation:
Somebody HELPPPPPSelect the correct answer. What is the value of this expression if a = - 7 and b = -37 a3 - b2
Negative seven multiply three minus negative thirty seven multiply two equal to seventy four minus twenty one equal to fifty three.
This trip the family will spend $117.96. The next trip they will spend $119.27. This is an increase of ($117.96 − $119.27) or an increase of $1.31. What is the percent of increase? Round your answer to the nearest whole percent.
Answer:
1%
Step-by-step explanation:
To find the percent increase, take the difference over the original amount
1.31/ 117.96
.011105459
Change to percent form
1.110545948%
To the nearest percent
1%
Solve b− 3 16 = 5 16 b−316=516 . b=
Which of the following is another way to express the difference between -5 and 8
Answer:
-5 - 8 = -13
Another way to express the difference is:
-8 + (-5) = 13
Step-by-step explanation:
(Picture)
Answer:
-5 - (-8)
Step-by-step explanation:
Please help! If possible, please word your explanation simply.
Answer: It is because if ∠N and ∠K are congruent and are same in size and shape.
Answer:
KLM is equal to NLM because in order to share a bisector, they have to have the same length. Also we can assume that <L and <M are the same since they share the same vertex, making both triangles equal.
Step-by-step explanation:
Where can we put parentheses in 2 x 3+1+2 to make it equivalent to 12?
Write the slope intercept form of the equation.
Y=Mx+b
PLEASE SHOW WORK
Answer:
See below (I hope this helps!)
Step-by-step explanation:
We need to write this in the form y = mx + b.
x + 3y = -12
3y = -x - 12
[tex]y = \frac{1}{3}x - 4[/tex]
Which is the simplified form of the expression (6 Superscript negative 2 Baseline times 6 Superscript 5 Baseline) Superscript negative 3
Answer:
Superscript 16 Baseline EndFraction StartFraction 1 Over 4 x Superscript 14 y
Step-by-step explanation:
Superscript 16 Baseline EndFraction StartFraction 1 Over 4 x Superscript 14 y
Someone help me
10-14x-7-7x=6
Answer: your answer is going to be 1/7
Step-by-step explanation:
Answer:
x = -1/7
Step-by-step explanation:
First, combine like terms:
3 - 21x = 6
Then, isolate the variable:
-21x = 3
Then, divide -21 on both sides:
x = -3/21
Finally, simplify the fraction:
x = -1/7
Hope this helps!
Which set of orderd pairs is a function A.( -6, -4 ), (-4, -2) , ( 0, 0 ), (-4, 2 ) ,( -6, 4) B. ( -2 , 1 ) , (-4, 2) , ( 0, 3) , ( 4, 1) , (-2 , 5 ) C. (-1 , 5) , ( -1 , 4) , (-1 , 3) , ( -1 , 2) , (-1, 1 ) D. ( -5, 1 ) , (-3 ,2), ( -1, 3) , (1, 4) , (3, 5
Answer:
The answer is D
Step-by-step explanation:
To be a function, you cannot have the same x values.
is -10 greather than -7
Answer:
no
Step-by-step explanation:
-7 is bigger
Answer:
no, its less
Step-by-step explanation:
because in negatives the higher the number is (ex: -10) the less the value is, so its the opposite of positive numbers
i need the answer to this problem
Answer:
c/4 is 7 and c is 28
Step-by-step explanation:
Answer: Answer in steps
Step-by-step explanation:
[tex]\frac{c}{4} -12 = -5[/tex] Add 12 to both sides
[tex]\frac{c}{4} = 7[/tex] Now multiply both sides by 4
c= 28
Hi I'm not really good at least to greatest but can I have help.
Answer:
the answer is c.
c shows the correct order.
Step-by-step explanation:
i hope this helps you! <33
Answer:
for negative the highest number is the least, I believe and for positive numbers the least number is just the one that is the smallest Step-by-step explanation:
Do the ratios 19/8 and 5/4 form a proportion?
============================================================
Explanation:
Your teacher is effectively asking "are the fractions 19/8 and 5/4 equal?"
Let's assume for now that they are. So we have 19/8 = 5/4
To check if that is a true equation, let's cross multiply
19/8 = 5/4
19*4 = 8*5
76 = 40
The last equation is not true, so the first equation is also not true. The ratios are not in proportion.
---------------------------
Alternative method:
Instead of cross multiplying, we can get all the fractions to have the same denominator. The LCD (lowest common denominator) of the two given fractions is 8. Let's turn 5/4 into a fraction with 8 in the denominator.
We'll multiply top and bottom by 2 to get 5/4 turning into 10/8
Now we're asking "are 19/8 and 10/8 the same?" in which the answer is "no they are not the same". The numerators 19 and 10 are different. The fraction 19/8 is larger than 10/8. So 19/8 is larger than 5/4.
---------------------------
2nd Alternative method:
Use your calculator to see that
19/8 = 2.375
5/4 = 1.25
The decimal values should be the same if the fractions were equal, but they are not. This is a very quick way to compare two fractions.
Answer:
no
Step-by-step explanation:
because they are not equivalent to each other.
If AB = 20, and BC = 10, what is AC?
If there are a total of 20 data values , with what frequency does the data value 3 occur
Answer:
Question: The Relative Frequencies For A Set Of Data Are Shown In The Table Below. Value Relative Frequency 1 0.15 2 0.10 3 0.45 4 0.30 If There Are A Total Of 20 Data Values, With What Frequency Does The Data Value 3 Occur?
Step-by-step explanation: