Answer:
[tex](2 {a}^{2} + 1)(1 {a}^{2} + 9)[/tex]
Step-by-step explanation:
[tex]2 {a}^{4} + 19 {a}^{2} + 9 \\ 2 {a}^{4} + {a}^{2} + 18{a}^{2} + 9 \\ {a}^{2} (2 {a}^{2} + 1) + 9(2 {a}^{2} + 1) \\ (2 {a}^{2} + 1)( {a}^{2} + 9) \\ [/tex]
Help!!!
Find the domain of the function. Write the answer in interval notation.
Answer:
A
Step-by-step explanation:
Given
f(x) = [tex]\frac{2}{3x+2}[/tex]
The denominator cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the value that x cannot be.
3x + 2 = 0 ⇒ 3x = - 2 ⇒ x = - [tex]\frac{2}{3}[/tex] ← excluded value
Then
domain is ( - ∞ , - [tex]\frac{2}{3}[/tex] ) U ( - [tex]\frac{2}{3}[/tex], ∞ ) → A
If anyone can help with this ill mark Brainly
Answer:
In this case, we can do substitution.
Step-by-step explanation:
For the first one, (s - t)(x) = ((x - 5) - 4x^2)(x) = x^2 - 21x
For the second one, (s*t)(x) = ((x - 5) *4x^2)(x) = 4x^4 - 20x^3
And for the last one, (s+t)(-2) = ((x - 5) + 4x^2)(-2) = -8x^2 - 2x + 10
Hope your happy with the answer :)
Can someone help with problems fivethroughseven
Answer:
5) 15120
6) 11880
7) 336
Step-by-step explanation:
The formula for permutation where mPn is m!/(m-n)!
Applying this to question 5, we get 9!/4!, which is 15120.
For question 6, we get 12!/8!, which is 11880.
For question 7, we get 8!/5!, which is 336.
Drag
the yellow point until an accurate "height" of the triangle is drawn. Afterwards, fill out the empty boxes below to determine the area of the triangle.
Answer:
I don't see a yellow point
the red line below is perpendicular to which of the following
The red line is perpendicular to the y-axis.
These points are linear.
Find the slope.
x-3 -2 -1 0 1/2
y-3 -2 -1 0 1 2
slope = [?]
Answer:
Slope = 4
Step-by-step explanation:
The slope of a linear equation can be calculated as;
m = y2-y1/x2-x1
What we have to do here is to select any two points ;
(x1,y1) = (3,8)
(x2,y2) = (6,20)
m = (20-8)/(6-3) = 12/3 = 4
Which of the following is most likely the next step in the series?
А.
B.
C.
D.
Answer:
D
Step-by-step explanation:
The answer is D because the pattern adds one angle every one shape. Ex. Triangle, Rectangle, Pentagon, Hexagon
Match the base to the corresponding height.
Answer:
I can't see the picture
Step-by-step explanation:
SORRY :(
Please helpppp
Find h
Answer:
the square root of 85 (so 85 is the answer)
Step-by-step explanation:
You can use the pythagorean theorem to find the height. So the sides of the triangle would contain the radius (4/2 = 2) and 9.
so, 2 squared plus 9 squared = 85
I hope this helps!
Solve for the questions (both of them) and label you answers for which question
If Wade has 2 times as many dimes as quarters and they have a combined value of 270 cents, how many of each coin does he have?
Answer:
Step-by-step explanation:
If he has twice the number of dimes as quarters, then obviously he has more dimes than quarters. The expression that represents that is
d = 2q
That relates the NUMBER of coins; now we need one that relates the VALUE which is a dollars and cents thing. We know that the combined value of the coins is $2.70. The expression that represents this is
.1d + .25q = 2.70 because dimes are worth .10 and quarters are worth .25
Subbing the first equation into the second gives us
.1(2q) + .25q = 2.70 and
.2q + .25q = 2.70 and
.45q = 2.70 so
q = 6
This means he has 6 quarters. If the umber of dimes is twice as much, then d = 2(6) and d = 12.
He has 6 quarters and 12 dimes
PLEASE HELP ASAP WHAT IS THE ANSWER TO THIS QUADRATIC EQUATIONNNN
Answer:
pls i don't know
Which number produces an irrational number when multiplied by 3/4
any irrational number would do, like pi or root(2)
Find the value of x from the following given figures.
solution :-
here,
We know that interior opposite angles are equal.
So,
110° = 50° + x (being interior opposite angles)
110° - 50° = x
60° = x
the value of x =60°
hope it is helpful to you ☺️
what do you understand by socialization
Find the equation of a line that is perpendicular to y = -3x – 1 and passes through the point
(3,2).
Give your answer in the form y = mx + b.
Y=2/7 -7 y=-x+2 What is the solution for this system of equations?
Answer:
(61/7, -47/7)
Step-by-step explanation:
Given: y=2/7 -7
y=-x+2
Rewrite the top equation ( y=2/7 -7
y = -47/7
y = -x + 2
Because both equations are equal to y, we can rewrite it again.
-47/7 = -x + 2
Add x to both sides
x + (-47/7) = 2
Add 47/7 to both sides.
x = 47/7 + 2/1
x = 61/7
As stated in the beginning, y is equal to -47/7
Hope you understand!
Shirley buys fiction books for $20 each, and then marks up by 25% to
resell. What is the markup in dollars?
Answer:
$5
Step-by-step explanation:
Find the markup by finding 25% of 20:
20(0.25)
= 5
So, the markup is $5
If f(x) = -3 3 and g(x)= 4x2 + 2x - 4, find (f +g)(x).
Answer:
A. 4x² + 9x/4 - 7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = x/4 - 3
g(x) = 4x² + 2x - 4
(f + g)(x) is f(x) + g(x)
Step 2: Find
Substitute in functions: (f + g)(x) = x/4 - 3 + 4x² + 2x - 4Combine like terms: (f + g)(x) = 4x² + 9x/4 - 7PLS HELP ASAP, I need it in 10 mins. I GIVE 15 PTS !!!! if v1 = (3,-4) and v2 = (2,6) then v1*v2 is equal to which of the following?
A. 30
B. (-12, -24)
C. (6,-24)
D. -18
v₁·v₂ is -18 which is correct option(D)
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that perform arithmetic operation are called arithmetic operators .
Operators which let do basic mathematical calculations
+ Addition operation : Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation : Subtracts right hand operand from left hand operand.
for example 4 -2 = 2
* Multiplication operation : Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation : Divides left hand operand by right hand operand
For example 4/2 = 2
Given that,
v1 = (3,-4) and v2 = (2,6)
To determine v₁·v₂
v₁·v₂ = 3·(2) - 4·(6)
v₁·v₂ = 6 - 24
v₁·v₂ = -18
Hence, the v₁·v₂ is -18.
Learn more about Arithmetic operations here:
brainly.com/question/25834626
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Graph the solution of the inequality 3/7(35x-14)<_ 21x/2+3
Answer:
You'll have a closed circle at x = 2, and shading to the left
See the diagram below
=========================================================
Explanation:
The fractions here are 3/7 and 21/2. The denominators of which are 7 and 2 respectively. The LCD is 7*2 = 14.
If we multiply both sides by 14, then this will clear out the denominators and make the fractions go away.
14*(3/7) = (14*3)/7 = 42/7 = 814*(21/2) = (14*21)/2 = 294/2 = 147So if we multiplied both sides by 14, then we have these steps
[tex]\frac{3}{7}(35x-14) \le \frac{21x}{2}+3\\\\14*\frac{3}{7}(35x-14) \le 14*\left(\frac{21x}{2}+3\right)\\\\14*\frac{3}{7}(35x-14) \le 14*\left(\frac{21x}{2}\right)+14*\left(3\right)\\\\6(35x-14) \le 147x+42\\\\[/tex]
--------------------------
Let's isolate x
[tex]6(35x-14) \le 147x+42\\\\6(35x)+6(-14) \le 147x+42\\\\210x-84 \le 147x+42\\\\210x-147x \le 42+84\\\\63x \le 126\\\\x \le 126/63\\\\x \le 2\\\\[/tex]
The graph of this will consist of a closed or filled in circle at x = 2. We shade to the left to represent numbers smaller than 2.
So either x = 2 or x < 2.
If we used an open hole at 2, then we wouldn't be including 2 (but we want to include this endpoint).
See the diagram below.
Find mCFB
Help me please
Answer:
A
Step-by-step explanation:
<CPA = 50o Given
<FPB = 50o Vertically opposite a 50 degree angle
<CPF = 90o Given
<CPB = <FPB + <CPF Given or found
<CPB = 50 + 90 Substitute
<CPB = 140o
URGENT PLS ANSWER QUICKLY
Answer:
9th is 44 mark me as brainlist
Answer:
Question 9 is perimeter
Which number completes the system of linear
inequalities represented by the graph?
y> 2x – 2 and x + 4y > _____
The system of linear inequalties that is represented by the graph is formed by the expressions y > 2 · x - 2 and x + 4 · y > - 12.
What system of inequalities generate the graph seen in the image?
Herein we have two inequalities generated by two linear functions whose form is described below:
f(x, y) > a (blue region) (1)
g(x, y) > b (red region) (2)
By direct comparison, we find that the limit of the red region is represented by the inequality y > 2 · x - 2. From the equation of the line we can derive an expression for the limit of the blue region:
Slope
m = [- 4 - (- 3)]/(4 - 0)
m = - 1/4
Intercept
b = y - m · x
b = - 3 - (- 1/4) · 0
b = - 3
Then, the inequation is represented by the linear equation:
y > - (1/4) · x - 3
4 · y > - x - 12
x + 4 · y > - 12
The system of linear inequalties that is represented by the graph is formed by the expressions y > 2 · x - 2 and x + 4 · y > - 12.
To learn more on inequalities: https://brainly.com/question/20383699
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Marc puts 28 liters of water into a tub and 6 liters of water into a bucket. Then, he pours both containers into a tank.
Answer:
34
Step-by-step explanation:
A line with a slope of 3 passes through the point (-1, 2).
Write an equation for this line in point-slope form.
Answer:
Step-by-step explanation:
Slope = m = 3
(x₁ , y₁) = (-1 , 2)
Point slope form: y - y₁ = m(x - x₁)
y - 2 = 3(x - [-1] )
y - 2 = 3(x + 1)
y - 2 = 3*x + 3*1
y - 2 = 3x + 3
y = 3x + 3 + 2
y = 3x + 5
Ava’s gross pay is $2,500 per month. Her deductions include the following:
Federal income tax $290
State income tax $85
Social Security $112
Medicare $35
What is Ava’s net pay each month?
CAN SOMEBODY PLEASE HELP MEEEE
Answer:
105.
Step-by-step explanation:
.
When CP = Rs 1250 and SP = Rs 1500, find profit or loss percent ?
Answer:
profit=20%
Step-by-step explanation:
profit%=sp-cp/cp×100%
=1500-1250/1250×100
=250/1250×100
=20%
Solve for x and y:
x – 3y = -8
3x + 2y = 31
Select one:
O a. (-11,-1)
O b. (11,1)
o c. (5,8)
O d. (7,5)
Answer:
O d. (7,5)
Step-by-step explanation:
x – 3y = -8 (1)
3x + 2y = 31 (2)
From (1)
x = -8 + 3y
Substitute x = -8 + 3y into (2)
3x + 2y = 31 (2)
3(-8 + 3y) + 2y = 31
-24 + 9y + 2y = 31
-24 + 11y = 31
11y = 31 + 24
11y = 55
y = 55/11
y = 5
Substitute y = 5 into (1)
x – 3y = -8 (1)
x - 3(5) = -8
x - 15 = -8
x = -8 + 15
x = 7
(x, y) = (7, 5)