Answer:
f'(x) = 18x² - 18x + 12
Step-by-step explanation:
Differentiate using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]
Given
f(x) = (3x² + 6)(2x - 3) ← expand factors using FOIL
= 6x³ - 9x² + 12x - 18 , then
f'(x) = 3.6x² - 2.9x + 12
= 18x² - 18x + 12
Which number is equivalent to the fraction ?
Answer:
15/7 = 2.14 or 2 1/7
Hope This Helps!
Answer:
2 1/7
Step-by-step explanation:
15/7 is an improper fraction, in the picture, I have shown you the steps to make a proper fraction to improper
What is the slope of the line (-3,0) and (0,-4)
Line a passes through points (2, 1) and (7, 9). Line b is perpendicular to a. What is the slope of line b?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
The slope of the perpendicular line will be - 5/8.
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (2, 1) and (7, 9).
Now,
Since, We know that;
The slope of the line passing through the points (x₁ , y₁) and (x₂, y₂) is;
⇒ m = (y₂ - y₁) / (x₂ - x₁)
So, The slope of the line passing through the points (2, 1) and (7, 9) is;
⇒ m = (y₂ - y₁) / (x₂ - x₁)
⇒ m = (9 - 1) / (7 - 2)
⇒ m = 8 / 5
Since, The product of the slope of the perpendicular lines is - 1.
Here, Line b is perpendicular to a.
So, The slope of the line b is,
m₂ = - (1/8/5)
= - 5/8
Thus, The slope of the perpendicular line will be - 5/8.
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Which is the slope of the line that passes through the points (−3,1) and (4,−2)?
CLEAR CHECK
slope =−3
slope =−37
slope =12
slope =−73
Answer:
The slope of the line is [tex]-\frac{3}{7}[/tex] ⇒ B
Step-by-step explanation:
Let us revise the rule of the slope
The rule of the slope of the line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points lie on the line∵ The line passes through the point (-3, 1) and point (4, -2)
→ That means one of them is (x1, y1) and the other is (x2, y2)
∴ x1 = -3 and y1 = 1
∴ x2 = 4 and y2 = -2
→ Substitute them in the rule of the slope above to find it
∵ m = [tex]\frac{-2-1}{4--3}[/tex] = [tex]\frac{-3}{4+3}[/tex]
∴ m = [tex]-\frac{3}{7}[/tex]
∴ The slope of the line is [tex]-\frac{3}{7}[/tex]
What is the sum of the solutions of the 2 equations below?
-14x = 280
9 + 5y = 69
A. -20
B. 12
C. -12
D. -8
E. 8
Answer:
D. -8
Step-by-step explanation:
-14x = 280
So x = -20
9 + 5y = 69
5y=60
So y=12
-20+12 = -8
Find the coordinates of the other endpoint if the midpoint is M(8, 2) and the other endpoint is P(5, 6). O (6.5, 4) (21, 10) O (11, -2)
Answer:
(11,-2)
Step-by-step explanation:
11+5 /2= 8
6+-2= -4/2=-2
Answer:
(11,-2)
Step-by-step explanation:
The one point you have is P(5,6)
The midpoint is (8,2)
The other point is (x,y)
(x + 5) /2 = 8
(x + 5) = 8*2
x + 5 = 16
x = 16-5
x = 11
===========
(y + 6)/2 = 2
y + 6 = 2*2
y + 6 = 4
y = 4 - 6
y = - 2
hello quick question because i am dumb and dont know how to explain things just need some clarification
how do you tell if a domain is continuous or discrete on a table not a graph •~•
Step-by-step explanation:
gegsbdqneyqillzfjmtucznYEmdnfhhthtej62wrr334tyyytyyttffgfrwgeyeyiqlstl7o4a1
9514 1404 393
Answer:
The domain is always discrete when it is found from a table.
Step-by-step explanation:
A table necessarily lists a finite number of discrete points. The domain, as found from a table, is always discrete.
__
If the table is said to be a representation of a continuous function, then the domain of that continuous function will be continuous.
Your question seems to have to do with a table alone, not a table and an equation, or a table and a graph. A table (of points) alone cannot express a continuous domain.
__
Additional comments
One can conceive of tables that would have continuous domains, as, for example, a table with entries ...
(x, y) = (0 ≤ x < 3, 3x+2), (3 ≤ x < 6, 4x-1), ...
Such a table is not a list of points, but is a piecewise function definition. We presume this is not what you're concerned with.
Assignment #17 Slope from points
Find the slope from the points
This is for algebra 1 and I need help!!
Answer:
2/3
Step-by-step explanation:
rise over run so you go done then over
Answer:
2/3
Step-by-step explanation:
When counting the slope from points, I like to use this method. Pick 2 points you see the line crosses through and then count the steps up/down and to the side one is from the other. In this case, you can count like this:
"Up 2, over 3"
Now we know the slope is 2/3.
HTH :)
Which pairs of expressions are equivalent? Select all that apply.
A
-4 - 7 and -4 + (-7)
B
16 - 7 and -16 + 7
C
-7 - (-12) and -7 + 12
D
-2 - 3 and 2 + 3
E
10 - 2 and 10 - (-2)
Answer:
A & C
-4-7=-11 and -4+(-)=-11
-7-(-12) and -7+12
Step-by-step explanation:
-4-7= -11, -4+ (-7)= -11
-7-(-12) turns into -7+12=5
the second equation is the same as the first (after using PEDMAS), resulting in the answering being -7+12=5
The pairs of expressions that are equivalent will be -4 - 7 & -4 + (-7) and -7 - (-12) & -7 + 12. Then the correct options are A and C.
What is an equivalent?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Check all the options, then we have
A. -4 - 7 and -4 + (-7), then we have
-4 - 7 = - 4 + (-7)
B. 16 - 7 and -16 + 7, then we have
16 - 7 ≠ - 16 + 7
C. -7 - (-12) and -7 + 12, then we have
- 7 - (-12) = - 7 + 12
D. -2 - 3 and 2 + 3, then we have
- 2 - 3 ≠ 2 + 3
E. 10 - 2 and 10 - (-2), then we have
10 - 2 ≠ 10 - (-2)
The pairs of expressions that are equivalent will be -4 - 7 & -4 + (-7) and -7 - (-12) & -7 + 12. Then the correct options are A and C.
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Please answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
14
Step-by-step explanation:
CAN SOMEBODY HELP ME WITH THIS PLEASE RIGHT ANSWERS ONLY
You work 4 hours on Monday, 4.5 hours on Tuesday, 7.25 hours on Thursday, and 12 hours on Saturday. If you get paid $11.52 per hour, what is your total pay for the week?
Answer:
$319.68
Step-by-step explanation:
First, you have to add up all the hours. 4 + 4.5 + 7.25 + 12 = 27.25. Then, you multiply that times the amount of money per hour (11.52) and get $319.68 for the whole week. Hope this helped! If it did, please mark me as brainliest. Thanks!
this is due today can anyone help me plsssss
Answer:
-19.68
-1/10x+8/5
25 1/3
-50
22.75
Step-by-step explanation:
Answer:
6) 22.75gallons
7) -50feets
8) 25⅓ inches
9)2/5
10) -19.68
a farmer plants potatoes on 1/36 of his land. He plants peas on 5/36 of his land. What fraction of the farm's land do potatoes and peas cover?
Answer:
6/36
Step-by-step explanation:
1/36 + 5/36 = 6/36 OR 1/6
Answer:
1/5 of the farmers land has potatoes and pea plants growing on it
Step-by-step explanation:
so we are trying to figure out how much of the land is covered in potatoes and pea plants together so we add their fractions together
1/36 + 5/36 = 6/36
we then simplify the fraction by dividing both numbers by 6 since 6 can go equally within the fraction:
6/36 divided by 6 = 1/5
so 1/5 of his land is covered by potatoes and pea plants
will mark brainliest if answered correctly
Answer:
x=71 degrees
Step-by-step explanation:
Jiro and Joey share a 30-ounce box of cereal. By the end of the week, Jiro has eaten 3/10 of the box, and Joey has eaten 3/5 of the box of cereal. How many ounces are left in the box?
Answer:
6 ounce of cerealStep-by-step explanation:
Step one:
given that the box is 30 ounce of cereal.
for Jiro----who ate 3/10 of the 30 ounce
=3/10*30
=9 ounce
Jiro ate 9 ounce
step two:
for Joey----who ate 5/10 of the 30 ounce
=5/10*30
=15 ounce
Joey ate 15ounce
the total ounces that both of them ate is
=9+15
=24
therefore the ounce left
=30-24
=6 ounce of cereal
The left over is 6 ounce of cereal
Graph the line for y+2=32(x+4) on the coordinate plane
Answer:
39
Step-by-step explanation:
(3=4)=7 y+2=32 so y is 30 and 7 + 32 is 39
You and a friend are knitting a scarf that will be 72 inches long. Your friend knits the first 24 inches and then gives you the scarf to finish. You expect to knit at a rate of 8 inches per day.
The formula that converts degrees Fahrenheit to degrees Celsius is:
C =
5
9
(F – 32)
Rewrite the formula to make F the subject.
What is the correct answer for both ?
Answer:
19. Option A
20. Option B
Step-by-step explanation:
29. In the figure below, linee is the graph of which of
the following equations?
-7
.
-4
1
2 3
5
6
A. 2y = x + 2
B. 2y = 2x
C. y = x + 1
D. 2y = x-2
E. 2y = x+1
Answer:
A)2y=x+2
Step-by-step explanation:
Kurt spots a bird sitting at the top of a 40 foot tall telephone pole. If the angle of elevation from the ground where he is standing to the bird is 59 ° , how far is Kurt standing from the base of the pole?
Answer:
i guess its 24.03 ft
Step-by-step explanation:
let height of pole be perpendicular length and distance from pole be the base .so tan59=P/b..& b= 24.03ft
help meeeeeeeeee plzzzzzzzzzzzzz
Answer:
91 x
Step-by-step explanation:
24-x-24=-16-24
Solve each step.
24-x-24=-16-24
1. Subtract the numbers
-x=-16-24
2. -x=-16-24
-x=-40
3.Divide both sides of the equation by the same term
-x=-40
-x/-1=-40/-1
4. simplify
x=40
3(4x+2)=8x+24−2x hhhhhhhh
Answer: x=3
Step-by-step explanation:
1. First lets do the parenthesis 3(4x+2) to get 12x+6
2. 12x+6=8x+24-2x (combine like terms) first lets do 8x and 2x first so its 8-2= 6x
3. 12x+6=6x+24 (now subtract 12x by 6x to get 6x)
4. 6x+6= 24 (now subtract 24 by 6 to get 18)
5. 6x= 18 (now divide 18 by 6 to get 3)
Answer:
x = 3Step-by-step explanation:
[tex]3(4x+2)=8x+24−2x[/tex]
Expand and simplify
We have
[tex]12x + 6 = 8x + 24 - 2x \\ 12x + 6 = 6x + 24[/tex]
Move 6x to the left side of the equation
[tex]12x - 6x + 6 = 24 \\ 6x + 6 = 24[/tex]
Move 6 to the right side of the equation
[tex]6x = 24 - 6 \\ 6x = 18[/tex]
Divide both sides by 6
[tex] \frac{6x}{6} = \frac{18}{6} \\ [/tex]
We have the final answer as
x = 3Hope this helps you
Can someone teach me how to do this im a good learner i just missed days
Sarah is making chili she has 0.15 g of a secret ingredient to each liter of chili she makes if she has 3 g of her secret ingredient how many liters of chai can she make?
Answer: She can make 20 liters of chai.
Step-by-step explanation:
As per given,
1 liter of chair requires 0.15 g of secret ingredient.
So , for 1 g of secret ingredient , quantity of chai she would make = [tex]\dfrac{1}{0.15}=\dfrac{100}{15}[/tex]
For 3g of secret ingredient , quantity of chai she would make = [tex]\dfrac{100}{15}\times3[/tex]
[tex]=\dfrac{100}{5}=20[/tex]
Hence, she can make 20 liters of chai.
She will need 20 litres of chili for 3g of the ingredient
If Sarah is making chili she has 0.15 g of a secret ingredient to each liter of chili, this is expressed as:
0.15g = 1 chili
To get the amount of chili needed for 3g, we can write;
3g = x
Divide both expression
0.15/3 = 1/x
x = 3/0.15
x = 20
Hence she will need 20 litres of chili for 3g of the ingredient
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A while back, either James borrowed $12 from his friend Rita or she borrowed $12 from him, but he can’t quite remember which. Either way, he is planning to pay her back or ask that she pay him back this afternoon. If he has $42.80 in his wallet, which equation represents the amount of money he may have after he sees Rita?
|x – 42.80| = 12
|x + 42.80| = 12
|x – 12| = 42.80
|x + 12| = 42.80
Answer:
|x – 42.80| = 12
Step-by-step explanation:
x – 42.80 = -12
x=30.8
x – 42.80 = 12
x=54.8
|x - 42.80| = 12 equation represents the amount of money James may have after he sees Rita
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The equation that represents the amount of money James may have after he sees Rita is |x - 42.80| = 12.
This equation reflects the fact that James either borrowed $12 from Rita
so he would subtract $12 from his current amount, or Rita borrowed $12 from him, so he would add $12 to his current amount.
Therefore, the |x - 42.80| = 12 equation represents the amount of money James may have after he sees Rita
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Milo pays $3 per pound for dog food at Pat's pound of food at Mark's Mutt Market. At which Palace. The graph below represents the cost per store will Milo pay a lower price per pound for dog food?
Answer:
Pat Pet's Palace
Step-by-step explanation:
Price of dog food at Pat Pet's Palace = $3 per pound
Price of dog food at Mark's Mutt Market can be estimated using the graph given.
The graph is a proportional graph, thus, the constant of proportionality between cost and pound = y/x
Using the coordinates of a point on the line, (2.5, 10), constant of proportionality or unit rate = y/x = 10/2.5 = 4.
This means the price of dog food at Mark's Mutt Market is $4 per pound.
Therefore, Milo would pay a lower price per pound for dog food at Pat Pet's Palace.
Which expression can be used to find the output numbers in
the table?
A store manager is looking at past jewelry sales to determine what sizes of rings to keep in stock. The list shows the ring sizes purchased by the last ten jewelry customers.
9, 7, 6.5, 7.5, 7, 8, 5, 6, 7.5, 8
What is the variance of the data set? Round to the nearest hundredths.
0.40
0.72
1.15
2.14
Answer: 1.15
Step-by-step explanation:
Answer:
1.15 is the answer
Step-by-step explanation:
