Answer:
The factored expression is 2(x² + 5)(x + 3).
Step-by-step explanation:
Hey there!
We can use a factoring technique referred to as "grouping" to solve this problem.
Grouping is used for polynomials with four terms as a quick and easy factoring method to remove the GCF and get down to the initial terms that create the expression/function.
Grouping works in the following matter:
Given equation: ax³ + bx² + cx + dGroup a & b, c & d: (ax³ + bx²) + (cx + d)Pull GCFs and factorsLet's apply these steps to the given equation.
Given equation: 2x³ + 6x² + 10x + 30Group a & b, c & d: (2x³ + 6x²) + (10x + 30)Pull GCFs and factors: 2x²(x + 3) + 10(x + 3)As you'll see, we have a common term with both sides of the expression. This term, (x + 3), is a valuable asset to the factoring process. This is one of the factors for our expression.
Now, we use our GCFs to create another factor.
List GCFs: 2x², 10Create a term: (2x² + 10)Finally, we'll need to simplify this one by taking another GCF, 2.
Pull GCF: 2(x² + 5)Now that we have this term, we need to understand that this could also be factored further using imaginary numbers, but it is also acceptable to leave it in this form.
Therefore, we have our final factors: 2(x² + 5) and (x + 3).
However, when we factor, we place all of our terms together. This leaves us with the final answer: 2(x² + 5)(x + 3).
Please help me with this
Answer:
Its B
Step-by-step explanation:
Evaluate.
25/5+7-(4x3)
Which statement correctly compares the two functions? GIVING BRAINLIEST!!
A. They have the same end behavior as x approaches infinity but they have different x- and y-intercepts
B. They have the same x-intercept and the same end behavior as x approaches infinity
C. They have the same x-intercept and the same y-intercept
D. They have the same y-intercept and the same end behavior as x approaches infinity
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
just took the test
Jon makes a map of his neighborhood for a presentation. The scale of his map is 1inch:250 feet, How many feet do 6.5 inches represent on the map?
A. 1650 feet
B. 1625 feet
C. 1605 feet
D. 1590 feet
Pov your just scrolling and seeing all these hard problems that your brain cant do.
Answer:
LOL this is just facts
Answer:
lol so true
Step-by-step explanation:
I need help my mind don’t proses right.! f(x) = x2. What is g(x)?
Answer:
hey will you join in zo om if your intrested
NO LINKS!! PLEASEE HELPP QUICK I POSTED THIS SO MANY TIMES AND NOBODY ANSWERS PLSSS HELP MEEE Write the slope-intercept inequality for the graph below. If necessary, use <=
fors or >= for >
Answer:
y < 4/3x - 2
Step-by-step explanation:
Another way to find slope is to subtract [tex]\frac{y_{1}-y_{2} }{x_{1} -x_{2} }[/tex]. We are given two points. We can subtract the two y-values from each other for the numerator, then do the same for the x-values in the same order for the denominator.
We subtract the y-value 2 from -6.
2 - - 6 can also be taken as 2 + 6.
2 + 6 = 8.
Then, subtract the x-values.
Subtract 3 - -3, or 3 +3.
3 + 3 = 6.
Our slope, then, is [tex]\frac{8}{6}[/tex]. We can simplify this to [tex]\frac{4}{3}[/tex].
Now we can find our y-intercept. The line intersects with the y-axis at the point (0, -2)
The shading is on the left side and the line is dotted, so our sign is <.
The inequality is y < 4/3x -2.
solve the equation to find the value of x:
2x=5
rename the mixed number as an improper faction
a. 3/5
b. 12/5
c. 2/6
d 7/5
Answer:
no
Step-by-step explanation:
helpppppppppppppppppppppppppppppppppp please!
Answer:
Answer: 7u - 63
Step-by-step explanation:
If the terms are different, and they are in this case, then the answer must be 2 terms separated by a minus sign.So write the minus sign first. - Now 7 * u = 7u7 * 9 = 63Put the 7u on the left side of the minus.Put the 63 on the right side.7u - 63The probability of being a universal donor is 6% (O-negative-blood type). Suppose that 6 people come to a blood drive.' a) What are the mean and standard deviation of the number of universal donors among the 6 people? b) What is the probability that there are exactly three universal donors?
Answer:
[tex]Mean = 0.36[/tex]
[tex]SD = 0.5817[/tex]
[tex]P(x=3) = 0.003588[/tex]
Step-by-step explanation:
Given
Let
A = Event of being a universal donor.
So:
[tex]P(A) = 0.06[/tex]
[tex]n = 6[/tex]
Solving (a): Mean and Standard deviation.
The mean is:
[tex]Mean = np[/tex]
[tex]Mean = 6 * 0.06[/tex]
[tex]Mean = 0.36[/tex]
The standard deviation is:
[tex]SD = \sqrt{np(1-p)}[/tex]
[tex]SD = \sqrt{6*0.06*(1-0.06)}[/tex]
[tex]SD = \sqrt{0.3384}[/tex]
[tex]SD = 0.5817[/tex]
Solving (b): P(x = 3)
The event is a binomial event an dthe probability is calculated as:
[tex]P(x) = ^nC_x * p^x * (1-p)^{n-x}[/tex]
So, we have:
[tex]P(x=3) = ^6C_3 * 0.06^3 * (1-0.06)^{6-3}[/tex]
[tex]P(x=3) = ^6C_3 * 0.06^3 * (1-0.06)^3[/tex]
[tex]P(x=3) = 20 * 0.06^3 * (1-0.06)^3[/tex]
[tex]P(x=3) = 0.003588[/tex]
a pizza has a radius of 2.5 feet what is the circumference of the pizza
Some one help this equation 7 x (3+2) =
Answer:
35
Step-by-step explanation:
3 + 2 = 5
7 times 5 = 35
What is the slope of a line that passes through the points (12,7) and (-14,19)?
F) -13/6
G) -1
H) -6/13
J) 3
Answer:
H) -6/13
Step-by-step explanation:
To find the slope of the line between a pair of two points, use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of (12,7) and (-14,19) into the formula and simplify like so:
[tex]m = \frac{(19)-(7)}{(-14)-(12)} \\m =\frac{19-7}{-14-12} \\m = \frac{12}{-26} \\m = -\frac{6}{13}[/tex]
So, Option H is correct.
PLEASE HELPPPPPP URGENT
Answer:
B
Step-by-step explanation:
CD matches with ST on the shapes.
What is the area of KDL to the nearest tenth of a square inch? Use special right triangles to help find the height. Show
your work
Answer:
8
Step-by-step explanation:
This is a 45-45 traingle which mean that the two sides that aren't the hyptonouse are equal (because their angles are equal)
We will let x equal the length of one of the sides
we have
x²+x²=(4√2)²
2x²=32
x²=16
x=4
this means that the length of the two missing sides are 4
Now using the area of a traingle formula we can solve for the area
A=.5*b*h
.5*4*4=8
.5*4*4
find the area of the shape below
Answer:
235 cm²
Step-by-step explanation:
Find area of the large rectangle on the bottom. To do that, find its length and width, then multiply them together.
Length of big rectangle=20 cm
Width of big rectangle=9 cm
20x9=180 cm²
Next, find the area of the small rectangle on the top. To do that, find its length and width, then multiply them together.
Length of small rectangle=11 cm
Width of small rectangle=5 cm
I found the width by subtracting 9 from 14, since the 9 cm is part of the large rectangle.
11x5=55 cm²
Add the areas of the two rectangles.
55+180=235 cm²
PLEASE I NEED HELP FAST! Suppose RT = 9 in. and ST = 4 in. Is it possible to find the length of TU ? If so, show how to find the length. If not, explain why not
Answer:
ummm there is no picture showing for me
Step-by-step explanation:
1/3(6z+7.2)=0.5(8z+2)-0.4
A z=0.8
B z=0.9
C z=2.8
D z=3.6
please help
Answer:
B z = 0.9
Step-by-step explanation:
1/3(6z + 7.2) = 0.5(8z + 2) - 0.4
Multiply both sides by 6.
12z + 14.4 = 24z + 6 - 2.4
-12z = -10.8
z = 0.9
if u could help me out i would appreciate it
Multiply polynomials
Step-by-step explanation:
[tex] {x}^{2} \times (3 {x}^{3} + 15) \\3 {x}^{2} + 15 {x}^{2} [/tex]
hope it helps
[tex] \huge \frak \green{question}[/tex]
Multiply the polynomials :-
x² ( 5x³ - 2x³ + 15)
[tex] \huge \frak \green{solution}[/tex]
→ x² ( 5x³ - 2x³ + 15)
→ x² × (3x³ + 15)
→ 3x² + 15x²
This can be further solved as :-
→ 3x² + 15x²
→ 18x²
[tex] \huge \frak \red{answer}[/tex]
18x²
plsssss help links will be reported!
Answer:
airplane A
Step-by-step explanation:
Search up:CNN 10 April 9th 2021
Watch the video give me 10 facts
Side note: Please don’t waste my time I have stuff to do
Answer:
Jeff Bezos, is Amazon's founder, who's one of the richest people in the world.
The federal government won't require everyone to get vaccinated.
The federal government also won't required everyone in america to carry a passport.
New York recently because the first state to have a cov id passport.
Florida banned the co vid passport.
Restraunt owners think its against peoples rights to have a co vid passport, so they won't need them there!
Theatres are requiring a passport for the vaccine, due to wanting to fill the audience.
Heinz makes more ketchup than anyone
12 billions ketchup packets will be made this year from h einz, which is enough to reach the moon and back.
astronauts had a lot of ketchup in space
1 hundred and forty miles per hour is reached on the fasted roller coaster according to genius world records.
Step-by-step explanation:
Hope this helps! Plz mark as brainliest!
A small school bus holds 26 students. A larger school bus holds 150% as many students as the small school bus. How many students does the larger school bus hold?
Please help :/
Answer:
39
Step-by-step explanation:
To solve this problem we can use a proportion:
150 : 100 = x : 26
x = (26*150)/100 = 39
Answer:
39
Step-by-step explanation:
150% of 26 is 39
on a calculator do 26 times 150% and it equally 39
another way to do it is do 26 divided by 2 which equals 13, then add 13 to 26 and you get 39
The 5th graders want to raise money for their overnight camping trip by selling cornbread during the school Chili Cook-Off contest. All the pans of cornbread are square. A pan of cornbread costs $12. The customers can buy any fractional part of a pan of cornbread and pay that fraction of $12. For example, ½ of a full pan costs ½ of $12.
Answer:
1 / 12 ; $1
Step-by-step explanation:
Pan was 1/4 full and she buys 1/3 of the cornbread in the pan
The fraction of cornbread she buys is :
1/3 of 1/4
1/3 * 1/4 = 1/12
Hence, she bought 1/12 of cornbread
The amount she pays :
Cost of 1 pan = $12
Therefore, the cost of 1/12 of a pan will be :
1/12 * $12 = $1
Hence, she'll pay $1
estimate the perimeter of the figure
Answer:
around 18 units
Step-by-step explanation:
Camila owns a car worth $5,900 and owes $2,800 on the car loan. She has $1,600 in her bank account and $5,210 in a savings account. She has a balance of $1,400 on her credit card. What is her net worth?
Answer:
[tex]Net\ Worth=11310[/tex]
Step-by-step explanation:
From the question we are told that:
Car worth [tex]C=5900\$[/tex]
Car Loan[tex]L=2800\$[/tex]
Bank account [tex]B= 1600\%[/tex]
Savings account [tex]S=5210\&[/tex]
Credit card [tex]CC=1400\%[/tex]
Generally Net worth is the value of the assets a person or corporation owns, minus the liabilities they owe.
Therefore
[tex]Net\ Worth=Asset-Liability\\\\Net\ Worth=Car worth+Bank account+Savings account +Credit card-Car Loan\\\\Net\ Worth=5900+1600+5210+1400-2800[/tex]
[tex]Net\ Worth=11310[/tex]
Answer:
6tvuyrfrd
Step-by-step explanation:
A.Vertical
B.Adjacent
C.complementary
D.Supplementary
E.none
Answer:
none or vertical
Step-by-step explanation:
I think sorry if I get that wrong
8. Each week, Mrs. Stafford picks a runner from her homeroom to run errands. In
order to remain unbiased in her selection, she flips a coin to determine if the
runner will be a boy or a girl. She assigns heads to girls and tails to boys.
Based on this procedure, what is the probability of selecting a boy? *
Answer:
That's alot of words, kinda hard to understand
Find the area. Round to the nearest tenth.
Answer:
40m^2
Step-by-step explanation:
Hope it helps!!:)