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
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]
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.
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
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
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
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
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!
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
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:
Solve b− 3 16 = 5 16 b−316=516 . b=
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.
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?
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:
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:
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:
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.
If AB = 20, and BC = 10, what is AC?
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
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.
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
HELP QUICK!!!! PLEASE FIVE AN EXPLANATION ALSO!!! HELP!!!
Answer:
A) 2
Step-by-step explanation:
6x^2y^3 + 9xy^4 - 12x^3y
Answer:
3xy(2xy2+3y3−4x2)
Step-by-step explanation:
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:
what expression is equivalent to 2x+3y-x-(8+1)
Answer:
Step-by-step explanation:
2x + 3y - x - 9
x + 3y - 9
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
Select the equivalent expression.
Answer:
Step-by-step explanation:
a^-4 x 8^14
the solution is C
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!
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%
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