Use the end behavior of the graph to solve 3x^3+9x^2-12x<0
Answer:
STEP
1
:
Equation at the end of step 1
((3 • (x3)) - 32x2) - 12x = 0
STEP
2
:
Equation at the end of step
2
:
(3x3 - 32x2) - 12x = 0
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
3x3 - 9x2 - 12x = 3x • (x2 - 3x - 4)
Trying to factor by splitting the middle term
4.2 Factoring x2 - 3x - 4
The first term is, x2 its coefficient is 1 .
The middle term is, -3x its coefficient is -3 .
The last term, "the constant", is -4
Step-1 : Multiply the coefficient of the first term by the constant 1 • -4 = -4
Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is -3 .
-4 + 1 = -3 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 1
x2 - 4x + 1x - 4
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-4)
Add up the last 2 terms, pulling out common factors :
1 • (x-4)
Step-5 : Add up the four terms of step 4 :
(x+1) • (x-4)
Which is the desired factorization
Equation at the end of step
4
:
3x • (x + 1) • (x - 4) = 0
STEP
5
:
Theory - Roots of a product
5.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Step-by-step explanation:
I hope this helps
14:6 divided by 5 ( the 14:6 is a ration )
Use a model to divide. 2/5 ÷ 4 Express the answer in simplest terms. 1/20 3/20 2/10 1/10
Answer:
1/10 or 2/20
Step-by-step explanation:
Answer: Find the exact value using trigonometric identities.
Exact Form: 1/10, 3/20000 Decimal Form: 0.1, 0.00015
ꜱᴏʟᴠᴇ (-9x-3)+(-3+2x)
[tex] \LARGE{ \underline{ \pink{ \bf{Required \: answer:}}}}[/tex]
I think, Here solving the equation means simplifying the equation which will include steps like expanding the parentheses etc.
GiveN:
(-9x + 3) + (-3 + 2x)Since we have add the terms inside the parentheses, the signs will remain as usual.
⇛ -9x + 3 - 3 + 2x
Combining the like terms and constant terms,
⇛ -9x + 2x + 3 - 3
This can be written as,
⇛ -7x + 0
⇛ -7x
Thus, On solving the equation we got -7x.
Answer:
−7x−6
Explanation:
(−9x−3)+(−3+2x)
Subtract 3 from −3 to get −6.
−9x−6+2x
Combine −9x and 2x to get −7x.
−7x−6
The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication, and Division (from left to right), Addition, and Subtraction (from left to right).
help? i have 678 points and 5 brainliest but its not letting me level up from ambitious. i tried reloading and it didn't do anything. what should I do? (idk how much you'll earn for answering but I'm posting this for 40 points)
Answer:
brainliest?
Step-by-step explanation:
A scale drawing of a playground is shown below.
PLAYGROUND
2.5 in.
KEY
1 in. = 40 ft.
3 in.
1 in.
4.5 in.
Using this scale, what is the area, in square feet, of the playground?
540 square feet
450 square feet
440 square feet
380 square feet
im bought 10 used books at the yard sale How much did she pay? Did you use addition or multiplication to solve this problem? Why? Also the price of one book is 75 cents
15.24 = 8.44 + 5x step by step pls :)
Answer:
19.334
Step-by-step explanation:
First I multiplied.
15.24 x 1.64 = 24.9936
Then I convert my answer to British pounds.
24.9936 = 19.334 British Pound Sterling
Answer:
1.36
Step-by-step explanation:
15.24 = 8.44 + 5x
subtract 8.44 from both sides
6.80 = 5x
divide both by 5
x = 1.36
A high school track is 9.76 meters wide. It is divided into 8 lanes of equal width for
track and field events. How wide is each lane?
Answer:
1.22
Step-by-step explanation:
9.76/8
A computer technician charges $75 for a consultation plus $35 per hour. Write the linear equation that models this situation.
The answeris : y=35x+75
If g(x) = 5x +9, what is g(6)?
Answer:
39
Step-by-step explanation:
5x+9
5(6)+9
30+9
39
Answer:
39
Step-by-step explanation:
first 5 times 6 since x=6. that equals 30. 30 plus 9 is 39.
hope this helps :)
A formula for finding P, the perimeter of a rectangle, is P = 2l + 2w, where l is the length of the rectangle, and w is its width.
What is P when l = 10 centimeters and w = 5 centimeters?
Answer:
Perimeter is 30
Step-by-step explanation:
The formula is
P=2(l+w)
Answer:
P is 30cm
Step-by-step explanation:
Let's transform it into an expression:
P = 2w + l2
P = (5×2) + (10×2)
P = 10 + 20 = 30 cm
Write 3.468.000 in scientific notation.
3.468*10^6
Step-by-step explanation:
the city of St. louis is making a billboard sign for visitors to see as they enter the city
Answer:
Step-by-step explanation:
Find the distance round the semi circle with a diameter of
35 cm
Answer: a semi circle is half a circle so 35 divided by 2 is 17.5
Step-by-step explanation:
Answer:
54.91 cm ² is the perimeter
formula =2 × 3.14× r (half the diameter)× 0.5
Answer right with proof please.
Answer:
the answer is a
Step-by-step explanation:
you times the 1/6 by 2 to get 2/12 then 3/4 by 3 to get 9/12 so all your fractions have the same denominator and the do the rest of the math with the new fractions and the same whole numbers that went with them. hope this helps
A t-shirt at the mall has an original price of $35. If it is on sale for 30% off, how much money will you save?
Answer:
$10.5
Step-by-step explanation:
30/100 X 35
= 1050/100
= 10.5
The price of a gallon of unleaded gas has risen to $2.86 today. Yesterday's price was $2.81. Find the percentage increase. Round your answer to the nearest tenth of a percent.
Answer:
1.8%
Step-by-step explanation:
2.86-2.81 = .05 (find the difference between the two numbers)
2.81 / .05= .017 (divide the original number)
Multiply 100 to get a percentage
1.8% (rounding to the nearest tenth)
Simplify each expression by combining like terms.
-5a+ 3a =
Answer:
-2a
Step-by-step explanation:
add -5a with 3a
- - - - -
+++
^see, two negatives are left
Which of the following pairs of triangles can be proven congruent by AAS?
A. (Image 1)
B. (Image 2)
C. (Image 3)
D. (Image 4)
Answer:
D is the correct
Step-by-step explanation:
The pairs of triangles that can be proven to be congruent by the AAS Congruence Theorem is: D. image 4.
What is the AAS Congruence Theorem?The AAS congruence theorem states hat two triangles can be proven to be congruent triangles if two angles and a non-included side of one triangle are congruent to corresponding two angles and a non-included side of the other triangle.
In image 4, ΔABC and ΔWXY has the following:
two pairs of congruent angles - ∠A ≅ ∠W and ∠C ≅ ∠Ya pair of congruent non-included sides - AB ≅ WXTherefore, the pairs of triangles that can be proven to be congruent by the AAS Congruence Theorem is: D. image 4.
Learn more about AAS on:
https://brainly.com/question/3999145
what is half of 2^6?????
Need this asap so if you see this and are willing to help me please do
Answer:
32
Step-by-step explanation:
2 to the 6th power is also 2 x 2 x 2 x 2 x 2 x 2 which equals 64 so then you multiply it by .5 (half) to get 32 :)
Answer:
32
Step-by-step explanation:
2^6= 64
64/2= 32
Which division problem does the model below show?
A. 4 divided by 1/6=24
B. 4 divided by 1/6=12
C. 24 divided by 1/6=4
D. 12 divided by 1/6= 4
Please help! Thank you!
Answer:
A
Step-by-step explanation:
Answer:I just had this question also it’s A, 4 divided by 1/6=24
Step-by-step explanation:
Use the expression 73·72 to complete true statements.
Answer:
76 77 77 77 77 77 77
second row
Step-by-step explanation:
Answer:
5256 next time use calculator
Step-by-step explanation:
Solve the inequality below 4(x + 2) < (4 - 4r)
Answer:
Step-by-step explanations:
The table and graph represent two different bus tours,
showing the cost as a linear function of the number of
people in the group.
Which description best compares the two functions?
Tour 1
Tour 2
People
Cost ($)
1
45
2
55
3
65
75
Number of People
The functions have the same
initial value.
The functions have the same
rate of change.
The rate of change for Tour
1 is greater.
Both functions are the same.
Answer: The functions have the same initial value
Step-by-step explanation: I say this because "Tour 1" is a linear funtion. I subtracted 45 from 55 and got 10, this happened for all the numbers on the table. On the other hand, When observing the graph it shows the initial point between 40 and 30. I estimated and got 35. When I went to check my answer, I subtracted 35 from 45 and got 10. Therefore, 35 is the initial value for both the graph and the chart.
Answer:
the function have the same initial value
Step-by-step explanation:
8 x (30 + 2) = (8 x ___) + (8 x 2)
Answer:
30 is the right one Hope this helps you Stay happy and safe Do mark as brainliest ✌️Answer:
30
Step-by-step explanation:
8 x (30 + 2) = (8 x 30) + (8 x 2)
We need to use distributive property.
Hope this helps!
please help i can’t figure out which answer it is.
Answer:
45
Step-by-step explanation:
So you have the equation:
(3x - 5) ^(x) - 19
and the value x = 3,
so just substitute in and simplify:
(3*3 - 5) ^ (3) - 19
(9 - 5)^(3) - 19
(4)^(3) - 19
64 - 19
45
Which point is a solution to the inequality shown in this graph?
A (6,0)
B (5,-5)
C (0,-3)
D (0,-5)
Answer:
(0,-3)
Step-by-step explanation:
Apex
Hurry plz what are each angles
A.8,B.2,C.6
Step-by-step explanation:
because
X=A is Z add b is 8
pls help!!! I will give brainliest!!
2/3 - 1/5
A) 1/2
B) 13/15
C) 30/15
D) 7/15
Answer:
D: 7/15
Step-by-step explanation:
you find the common factor of the denominators so now you have 10/15 - 3/15. then you subtract the numerators to get 7/15.
hope this helps :))
Answer:
[tex]\frac{7}{15}[/tex]
Step-by-step explanation:
=> [tex]\frac{2}{3}-\frac{1}{5}[/tex]
=> [tex]\frac{2\times{5}}{3\times{5}}-\frac{1\times{3}}{5\times{3}}[/tex]
=> [tex]\frac{10}{15}-\frac{3}{15}[/tex]
=> [tex]\frac{10-3}{15}[/tex]
=> [tex]\bold{\frac{7}{15}}[/tex]
