Answer:
(9x-2)(9x+2)
Step-by-step explanation:
81x^2 - 4
Rewriting as
(9x)^2 - 2^2
This is the difference of squares a^2 - b^2 = (a-b)(a+b)
(9x-2)(9x+2)
Answer:
(9x + 2)(9x - 2)
Step-by-step explanation:
To factor this expression, you can use a neat trick called difference of squares.
Difference of squares tells us:
a^2-b^2 = (a+b)(a-b)
Now look at the expression we have here:
81x^2 - 4
well, we know that 81 is 9^2, x^2 is literally x^2, and 4 is 2^2
So we can rewrite this as:
(9x)^2 - 2^2
By difference of squares that gives us:
(9x + 2)(9x - 2)
Find The equation of a circle that has it center at (-4,3) and has a radius of 5.
Answer:
A.
Step-by-step explanation:
Center = (a,b) = (-4,3)
So, a = -4, b = 3
Radius = 5
Equation of circle:
[tex](x-a)^2+(y-b)^2 = r^2[/tex]
Putting the givens
=> (x+4)²+(y-3)² = 25
[tex] {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\
{(x - (4))}^{2} + {(y + 3))}^{3} = {5}^{2} \\ {(x - 4)}^{2} + {(y + 3)}^{2} = 25[/tex]
What is the solution to the system of equations?
y=x+3
x=-2
Simply plug in x to the formula to y.
y = -2 + 3
y = 1
and
x = -2
I hope this is what you were looking for.
Answer:
y=1
Step-by-step explanation:
Plug x=-2 into the equation y=x+3:
y=(-2)+3
y=1
Please help me find the volume and explain how you found it in a clear form
Answer:
Let's solve this with 3 calculations
1) Volume of the lower section (highlighted in blue)
3 cm hgt 16 cm long 3 cm wide
Volume = 3 * 3 * 16 = 144 cubic cm
2) Volume of left "block"
Volume = 4 cm hgt * 4 cm long * 3 cm wide =
4 * 4 * 3 = 48 cubic cm
3) Volume of right "block"
length = 16cm - 3 - 4 - 3 = 6 cm
Volume = 4 cm hgt * 6 cm long * 3 cm wide =
4 * 6 * 3 = 72 cubic cm
TOTAL VOLUME = 144 + 48 + 72 = 264 cubic cm
Step-by-step explanation:
Nancy wants to receive the most return on a $50,000 investment. She has two options. Option 1 gives annual interest at 5% compounded yearly. Option 2 gives annual interest at 3.5% compounded monthly. Which option is better after 3 years, and what is the difference in earned interest? 1Option 2 earns more interest by $3,581.52. Option 2 earns more interest by $2,396.13. Option 1 earns more interest by $2,396.13. Option 1 earns more interest by $3,581.52.
Answer:
Option 1 earns more interest by $2396.13
Step-by-step explanation:
Step 1: Determine the prices
50000(1 + 0.05)^3 = 57881.30
50000(1 + 0.0035/12)^36 = 55527
Step 2: Determine which pays higher
Step 3: Find difference
57881.30 - 55527 = 2396.13
And we have our final answer!
What is the answer for this question??
The correct answer is D: 10x = 1000, which simplifies to x = 100
What two number multiply to -21 and add to 20
Answer:
-1 and 21
Step-by-step explanation:
Let the numbers be x and y.
x + y = 20
xy = -21
Solve the first equation for x and substitute in the second equation.
x = 20 - y
(20 - y)y = -21
20y - y^2 = -21
y^2 - 20y - 21 = 0
(y - 21)(y + 1) = 0
y - 21 = 0 or y + 1 = 0
y = 21 or y = -1
For y = 21:
x = 20 - y
x = 20 - 21
x = -1
For y = -1:
x = 20 - y
x = 20 - (-1)
x = 21
Solutions: (-1, 21) and (21, -1)
Answer: the numbers are -1 and 21
Please help me this is pretty easy I’m just dumb . Tell me wheaten each of the following is a proper fraction(p), and improper fraction (I), or a mixed number (M)
Answer:
1. I,P,M,P
2. P,I,P,M
3. M,P,P,I
4. P,I,M,P
A polygon is regular when all angles are equal and all sides are equal
True or False
Answer:
True
Step-by-step explanation:
True, because a polygon have all angles that are equal and all lengths are the same length.
What is the product of (x-2)(x+2)?
Answer:
The difference of squares is (a - b)(a + b) = a² - b². Since a = x and b = 2, the answer is x² - 4.
1/3( 5x - 9) = 2( 1/3x + 6) what is x?
Answer:
x = 9
Step-by-step explanation:
→Distribute the [tex]\frac{1}{3}[/tex] to (5x - 9), and the 2 to [tex](\frac{1}{3} x + 6)[/tex]:
[tex]\frac{1}{3}[/tex](5x - 9) = 2( [tex]\frac{1}{3}x[/tex] + 6)
[tex]\frac{5}{3}x[/tex] + 3 = [tex]\frac{2}{3}x[/tex]+ 12
→Subtract [tex]\frac{2}{3}x[/tex] from both sides:
x + 3 = 12
→Subtract 3 from both sides:
x = 9
The value of x from the given equation is 6.
The given equation is 1/3 (5x - 9) = 2(1/3 x + 6).
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Here, 5x/3 - 9/3 = 2x/3 +6/2
5x/3 -3 = 2x/3 +3
5x/3 -2x/3 =3+3
(5x-2x)/3 = 6
3x/3 = 6
x = 6
Therefore, the value of x from the given equation is 6.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ6
Des buys a pack of starbursts that has 3 orange,6 pink , 1 yellow , and 5 red starbursts. She puts the candy in the bowl. If she reaches in and grabs two starbursts without putting one back , what is the probability that she will pick a pink and then a yellow?
Answer:
3/70
Step-by-step explanation:
3 orange,6 pink , 1 yellow , and 5 red = 15
P(pink) = number of pink/ total = 6/15 = 3/5
Then without putting it back
3 orange,5 pink , 1 yellow , and 5 red = 14
P(yellow) = number of yellow/ total = 1/14
P(pink, no replacement, yellow) = 3/5*1/14 = 3/70
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
- [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ - 8, 2 ] , thus
f(b) = f(2) = - 4 ← read from graph
f(a) = f(- 8) = 1 ← read from graph, thus
average rate of change = [tex]\frac{-4-1}{2-(-8)}[/tex] = [tex]\frac{-5}{10}[/tex] = - [tex]\frac{1}{2}[/tex]
Find the following for the function f(x)=3x2+2x−2. (a) f(0) =
Answer:
-2
Step-by-step explanation:
when x= 0
f(0)= 3*(0)² + 2*0 - 2
= 0 + 0-2
= -2
Which interval contains a local minimum for the graphed function?
A. [-4, -2.5]
B. [-2, -1]
C. [1, 2]
D. [2.5, 4]
Answer:
A
Step-by-step explanation:
the answer is a why do not ask
Which inequality pairs with y≤−2x−1 to complete the system of linear inequalities represented by the graph? y<−2x+2 y>−2x+2 y<2x−2 y>2x−2
Answer:Oscar D
Step-by-step explanation:
Answer: B.
Step-by-step explanation:
Mason says that (12x+4)-(-3x+5) and 15x -1 are equivalent. Is he correct
Answer:
Yes.
Step-by-step explanation:
I have attached the work to your problem.
Please see the attachment below.
I hope this helps!
Answer:
yes he is correct
Step-by-step explanation:
(12x+4)-(-3x+5)
take out parenthesis,
12x+4--3x-5
simplify,
12x+4+3x-5
do the math,
15x-1
Determine the
equation of a line
that has an
x-intercept of 3 and
a y-intercept of 4.
Answer:
Step-by-step explanation:
x intercept it means y=0 (3,0)
y intercept means x=0 (0,4)
find the slope : y2-y1/x2-x1
y2-y1= 4-0=4
x2-x1= 0-3=-3
m=4/-3
y=mx+b b=4 since x=0
y=-4/3 x+4
Maya spent her allowance on playing an arcade game a few times and riding the Ferris wheel more than once. Write about what additional information you would need to create a two-variable equation for the scenario. What kind of problem could you solve with your equation?
Answer:
You would need to know how much money she spent and how much she had left.
Step-by-step explanation:
With this, you could find out how much money she had in total.
Sample Response:
To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.
Where is g decreasing ? Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
x≥ -1 or (-1, ∞)
Step-by-step explanation:
g is decreasing where the slope is negative so after max at -1 so x≥ -1
Can someone please help me with this please I need the right answer if you don’t know how to do geometry then don’t do this please thank you
Answer:
3. Reflexive property of congruence
(since the statement states that a segment is congruent to itself)
4. SSS
(since 3 sides of one triangle are congruent to three sides of the other triangle)
4) Every 10 years in April, the population of Boston is recorded. In 1990, Boston had a
population of 4,500 people. From 1990 to 2000, the population increased by 15%. From 2000
to 2010, the population decreased by 4%. That was Boston's population in 2010?
A
4,527
B
4,968
с
4,995
D
5,382
4500 increase it by 15%=675
4500+675=5175
Decrease 4% from 5175
4% of 5175=207
5175-207=4868
Answer=I think it’s b
A study shows that 35% of the fish caught in a local lake had high levels of mercury. Suppose that 10 fish were caught from this lake. Find, to the nearest tenth of a percent, the probability that at least 6 of the 10 fish caught did not contain high levels of mercury.
Answer:
0.985
Step-by-step explanation:
Given: 35% of the fish caught in a local lake had high levels of mercury.
To find: probability that at least 6 of the 10 fish caught did not contain high levels of mercury
Solution:
Probability refers to chances of occurrence of some event.
Probability = number of favourable outcomes/Total number of outcomes
Let A denotes the event that the fish caught in a local lake had high levels of mercury.
As 35% of the fish caught in a local lake had high levels of mercury,
[tex]P(A)=0.35[/tex]
Probability that at least 6 of the 10 fish caught did not contain high levels of mercury = 1 - probability that 4 of the 10 fish caught contain high levels of mercury = [tex]1-(0.35)^4=1-0.015=0.985[/tex]
factorise:x²+30x+216
Answer: (x + 12)(x + 18)
Step-by-step explanation: x² + 30x + 216
12 + 18 = 30
12 x 18 = 216
(x + 12)(x + 18)
Answer:
answer would be (x + 12)(x + 18).
Step-by-step explanation:
Let's factor x^2 + 30x + 216
x^2 + 30x + 216
Answer:
(x + 12) (x + 18)
a) x2 - 2 = 0 resolver por factorizacion
Answer:
x = ± √2 = ± 1.4142
Step-by-step explanation:
Witch value of x makes the equation x + 7 = 21 true ?
Answer:
x=14
Step-by-step explanation:
x+7=21
x=14
Chris is driving his car at a rate of 32 miles per hour. Albert is driving his car at a rate of 36 miles per hour. Both started driving at the same time. If you were to graph each linear relationship, what would be the difference in the slopes of the lines?
Answer:
Use the formula r = d/t. Your rate is 24 miles divided by 2 hours, so: r = 24 miles ÷ 2 hours = 12 miles per hour. Now let's say you rode your bike at a rate of 10 miles per hour for 4 hours.
Step-by-step explanation:
Estimate the solution to the following system of equations by graphing. A. B. C. D.
Answer:
Um where is the question
Step-by-step explanation:
Answer:
b. -1/3,1/2
Step-by-step explanation:
For an exponential regression equation in the form y=ab^x , a value of 1.101 for b will cause y to get smaller as x gets larger True or false
Answer:
False
Step-by-step explanation:
Given that tan theta = -9/4, where 270° ≤ theta ≤ 360° a)state the 5 trigonometric ratios as a fraction b) determine the value of theta to the nearest degree
Answer:
Step-by-step explanation:
θ lies in 4th quadrant.
cos θ and sec θ are positive all other trigonometric ratios are negative.
sin θ/cos θ=-9/4
sin θ=-9/4 cos θ
we know sin² θ +cos ² θ =1
(-9/4 cos θ)²+cos ² θ =1
cos ² θ (81/16+1)=1
cos ²θ((81+16)/16)=1
cos² θ=16/97
cos θ=4/√97
sin θ=-9/4*4/√97=-9/√97
sec θ=1/cos θ=√97/4
cosec θ=1/sin θ=-√97/9
cot θ=1/tan θ=-4/9
[tex]\ theta=tan^{-1}(-9/4) \approx 294 ^\circ[/tex]
Which inequality represents all the solutions of 10(3x + 2) > 7(2x − 4)?
Answer:
x>-3
Step-by-step explanation:
Answer:
x > -3
Step-by-step explanation: First you have to distribute the 10 to 3x +2 and 7 to 2x -4 . 10 times 3x + 2 is 30x + 20. 7 times 2x -4 is 14 x -28 . Subtract 20 from both sides, which is 30x = 14x-48 , because -28 minus 20 is -48. Subtract 14 x from both sides which is gonna be 16x >-48 , divide both sides by 16 which is x > -3.