Answer:
Option B is correct.
Step-by-step explanation:
Our expression is:
n² + 26n + 88Let's check all of our options to see if any option is accurate.
Option A:
(n + 8)(n + 11)
=> n² + 11n + 8n + 88
=> n² + 19n + 88
n² + 19n + 88 ≠ n² + 26n + 88
Option B:
(n + 4)(n + 22)
=> n² + 22n + 4n + 88
=> n² + 26n + 88
=> n² + 26n + 88 = n² + 26n + 88 ✔
Option C:
(n + 4)(n + 24)
=> n² + 24n + 4n + 96
=> n² + 28n + 96
=> n² + 28n + 96 ≠ n² + 26n + 88
Option D:
(n + 8)(n + 18)
=> n² + 18n + 8n + 144
=> n² + 26n + 144
=> n² + 26n + 144 ≠ n² + 26n + 88
Conclusion:
So, after working on this problem, we can conclude that Option B is our answer. Hoped this helped
Answer:
B
Step-by-step explanation:
edge 22'
A rectangular container of length 40cm and width 36cm was filled with 57600cm cubic of water.find the depth of the water in the container
Answer:
40
Step-by-step explanation:
Use the information given to enter an equation in standard form.
(−1, 1) and (0, 2) .
First find the slope:
m = ( 2 - 1 ) / ( 0 - (-1) ) = 1 / 1 = 1
Set up slope-intercept form:
y = 1·x +2
Now move x and y to the left and leave 2 on the right:
-x + y = 2
This is also equivalent to x - y = -2, so that just depends if you want your x coefficient to be positive or negative.
Answer:
Standard form: x - y = -2
Step-by-step explanation:
The standard form of linear equations is Ax + By = C, where A, B, and C are integers; A and B ≠ 0, and A is a non-negative integer.
Given the two points, we must first solve for the value of the slope.
Let (x₁, y₁) = (-1, 1)
(x₂, y₂) = (0, 2)
Substitute these values into the following slope formula:
m = (y₂ - y₁)/(x₂ - x₁)
m = (2 - 1)/[0 - (-1)]
m = 1/(0 + 1) = 1
Therefore, the value of the slope, m = 1.
Next, we need to determine the y-intercept, which is the point on the graph where it crosses the y-axis. The y-intercept is also the value of y when x = 0. One of the given points happens to be the y-intercept, (0, 2). Its y-coordinate is the value of b in the slope-intercept form, y = mx + b. Substitute the slope and the y-intercept into the equation:
y = mx + b
y = x + 2
Next, we need to rewrite the slope-intercept form into its standard form, Ax + By = C:
y = x + 2
Subtract x from both sides:
- x + y = x - x + 2
-x + y = 2
Multiply both sides of the equation by -1, so that the coefficient of x becomes a positive integer:
(-1) (-x + y) = 2(-1)
x - y = -2 ⇒ This is the standard form where A = 1, B = -1, and C = -2
b. Write an equation of the line perpendicular to
x + 2y = 6 through (8,3).
Answer:
y = 2x + 13 or -2x + y = 13
Step-by-step explanation:
1) I would convert x + 2y = 6 to y-intercept/slope-intercept form...
2y = -x + 6 - > y = -1/2x + 3
2) The slope of the line is -1/2. Perpendicular lines have a negative reciprocal slope to the other line, so the slope is 2. Therefore your equation so far is...
y = 2x + b
3) The point that is given is (8, 3). This means that x = 8 and y = 3. Substitute that into the equation and solve for b (the y-intercept)
3 = 2(8) + b
3 = 16 + b
-13 = b
b = 13
4) Now, we know that b = 13 and the slope is 2. Therefore...
y = 2x + 13
Also note, if you want this equation in standard form, it would be...
-2x + y = 13
BATTERY LIFE The battery life of a certain cell phone starts at 8 hours. The battery life decreases at an annual rate of 30%.
a. Write a function that represents the battery life y after x years.
Answer:
[tex]y=8(0.7)^x[/tex]
Step-by-step explanation:
Next, the battery life decreases by 30% per year. You didn't state if this is linear or exponential, so I'll assume exponential because linear doesn't make much sense in this case..
For an exponential function, the battery life will be decreasing by 30% over the previous year, not over the original. Decreasing by 30% is multiplying by 70%, or just 0.7.
Exponential form:
[tex]y=a(b)^x[/tex]
where a is the original value and b is the percent change.
In your question:
[tex]y=8(0.7)^x[/tex]
The function that represents the battery life y after x years is y = 8(0.7)ˣ.
What does exponential function ?A quantity grows (or depreciates) exponentially if the increase (or decrease) in the amount is a multiple of the previous amount.
Now it is given that,
Battery life starts = 8 hours
Annual decrease rate = 30% = 0.30
So, battery life after an year = 100% - 30% = 70% = 0.7
Now if battery life y after x years
Annual decrease rate after x years = (0.7)ˣ
Thus battery life, y = 8(0.7)ˣ
Thus, the function that represents the battery life y after x years is y = 8(0.7)ˣ.
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Can i please have help with qquestion brainliest for correct and best explained answer
Answer:
Y-intercept is at 1 and slope of the graph is 2
Step-by-step explanation:
When plotting this equation use the formula y=mx+b. The variable B is the y intercept its where you start your graph. The variable M is the slope and for that you use rise/run.
To graph 2 you would start at 1 because it's the int. And u would go up 2 and right 1 and just follow that pattern
WORTH 50 POINTS.
What is the domain of the function shown on the graph below?
2x⁴-6x²+3 divided by 2x-6
Step-by-step explanation:
answer is 552€₹%+×::!^*I HOPE ITS CORRESCTJesse played two days of golf. On the second day, he got a score of 6 below par, or
−
6
. His total score for the two days was 0 above par, or 0. Define a variable. Then write and solve an equation to find the score Jesse got on the first day. Show your work.
Jesse played two days of golf. On the second day, he got a score of 6 below par, or
−6. His total score for the two days was 0 above par, or 0. Define a variable. Then write and solve an equation to find the score Jesse got on the first day. Show your work.
Step-by-step explanation:
1.A
2.A
3.A
4.C
5.A
6.A
7.C
8.D
9.A
10.C
11.C
12.C
13.D
14.B
15.B
16.A
17.C
18.A
19.B
20.C
21.B
22.D
23-27 Write in
The slope of a line is 2. The y-intercept of the line is -6. Which statements accurately describe how to graph the
function?
VX
O Locate the ordered pair (0, -6). From that point on the graph, move up 2. right 1 to locate the next ordered pain
the line. Draw a line through the two points.
O Locate the ordered pair (0.-6). From that point on the graph move up 2. left 1 to locate the next ordered pair
the line. Draw a line through the two points.
Locate the ordered pair (6.0). From that point on the graph, move up 2. right 1 to locate the next ordered pair
the line. Draw a line through the two points
Locate the ordered pair (6.0). From that point on the graph move up 2. left 1 to locate the next ordered pair on
the line. Draw a line through the two points
Save and Exit
Answer:
Locate (0,-6), move up 2, right 1
Step-by-step explanation:
Hi there!
To graph a linear function, we first locate the-intercept, then graph the next point according to the slope.
We're given that the y-intercept is -6. The y-intercept occurs when x=0, so therefore, the point (0,-6) falls on the line.
Locate (0,-6)
Now, to graph the next point, we look at the slope. The slope in this case is 2. This means every time the line travels to the right by 1 unit, it travels up 2 units.
Move up 2, right 1
I hope this helps!
ANSWER FOR BRAINLIEST
Identify the graph for the point C(−2, −1, 2) in three-dimensional space.
Answer:
It's the third one,
Step-by-step explanation:
the only one with the dot in the negatives
pre calc pls help me i really appreciate it
Answer:
[tex]a_{14} = 10496[/tex]
Step-by-step explanation:
A geometric sequence is of the form:
[tex]ar^0, ar^1, ar^2, ar^3, \cdot \cdot \cdot[/tex]
So the given values can be represent as:
[tex]1. \quad ar^5 = \frac{41}{256}\\2. \quad ar^{10} = -164[/tex]
So you have a system of equations with two unknows [tex]a[/tex] and [tex]r[/tex]. Then you can find one unknow in terms of the other.
[tex]a = \frac{-164}{r^{10}}[/tex]
Now replace [tex]a[/tex] in the first equation
[tex]\frac{-164}{r^{10}}r^5 = \frac{41}{256}\\\frac{-164}{r^{5}} = \frac{41}{256}\\r^5 = \frac{256 \cdot -164}{41} = -\frac{41984}{41}\\r = \sqrt[5]{-\frac{41984}{41}}\\[/tex]
You don't have to worry about the negative number inside the root, because is a odd root then you can find odd negative numbers that give me the desire result.
[tex]r = -\frac{4\sqrt[5]{41} }{\sqrt[5]{41}} \\r = -4[/tex]
For find [tex]a[/tex] only replace [tex]r[/tex] in whatever of the two equations.
[tex]-a4^5 = \frac{41}{256}\\-a1024 = \frac{41}{256}\\a = -\frac{41}{262144}[/tex]
After find [tex]a[/tex] and [tex]r[/tex] use the next formula for find the [tex]14^{th}[/tex] term.
[tex]ar^{13} = x\\-\frac{41}{262144} \cdot -4^{13} = x\\\\10496 = x[/tex]
7x3+1=22 divied by 2
Answer:
22/2=11 <-.-.-.-.-.-
Solve the equation below 2(t+4)=7+5(t-4)
Answer:
t= 7
Step-by-step explanation:
2(t +4)= 7 +5(t -4)
Expand:
2t +2(4)= 7 +5t +5(-4)
2t +8= 7 +5t -20
2t +8= 5t -13
Bring constants to one side, t terms to the other:
5t -2t= 13 +8
Simplify:
3t= 21
Divide both sides by 3:
t= 21 ÷3
t= 7
A=1/2bh solve for h
I WILL GIVE BRAINLIEST!! PLS HELP
refer to attachments for the question
Step-by-step explanation:
We have:
PQ ≅ MN GivenQR ≅ RN GivenPR ≅ RM Definition of midpointAs per above three sides of one triangle are congruent to three sides of another triangle.
ΔPQR ≅ ΔMNR SSS (Side - side - side) congruenceIn ∆PQR and ∆MNR
PQ=MN
QR=RN
<Q=<M=90°
Hence by
Side angle side congruency
[tex]\\ \sf\longmapsto ∆PQR\cong ∆MNR[/tex]
Proved
I WILL GIVE BRAINLIEST TO CORRECT ANSWER
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
y=−16x^2+146x+137
Answer:
470.1
Step-by-step explanation:
Since this is a parabola that opens down, the maximum height is where the graph has a horizontal tangent line.
This is where the derivative=0
Since it is a parabola that opens down, we do not need to test the sides of the point where the derivative=0 as the vertex is a local maximum and the only point with a horizontal tangent.
y=[tex]-16x^2+146x+137[/tex]
y'=[tex]-32x+146[/tex]=0
-32x+146=0
x=[tex]\frac{146}{32}[/tex]=[tex]\frac{73}{16}[/tex] This is the x-coordinate of the vertex
Now plug this back into the original equation to find the maximum height.
f(73/16)=[tex]-16(\frac{73}{16})^2+146(\frac{73}{16} )[/tex]+137
=[tex]\frac{-73^2}{16} +666.125+137[/tex]
=-333.0625+666.125+137
=470.0625
To the nearest tenth this is 470.1
Tia types 66 words in 3 minutes. She wants to know how many words she can type in 5 and 10 minutes if she keeps the same rate. How many words does Tia type in 1 minute? how many did she type in five minutes
Answer: 5 mins 110 words10 mins 220 words.
Step-by-step explanation: Tia types 66/3 = 22 words per minute.
Therefore in 5 mins she types 5*22 = 110 words and in 10 mins she types
22 * 10 = 220 words. Hope this helps! lol!
Please solve this math problem... I will mark you brainliest
Answer:
Step-by-step explanation:
Lilly wants to buy a tablet that costs $88.00. Her dad said that he would pay 25% of the cost. How much money will her father contribute towards the tablet? What is the proportion?
Answer:
22 dollars
Step-by-step explanation
If you multiply 88* the percent you will get 22. That means that Lily's dad will contribute 22 dollars to buying her tablet.
does the equation have roots? if yes, find them.
x^2=32
Answer:
[tex]x=\pm 4\sqrt2[/tex]
Step-by-step explanation:
Left hand side is a positive number. Right hand side is positive. The equation should have real roots. (worst case, the root would be complex, but let's not open that can of worm)
Let's start noticing that [tex]32 = 2^5 =4^2\cdot 2[/tex] and then take the square root of both sides, remembering that we need to take a plus or minus sign ( both a and -a squared give the same result!)
[tex]x= \pm \sqrt{4^2\cdot2}=\pm 4\sqrt2[/tex]
In the given figure, PQ 11 RS, find the value of x.
Answer:
73 degrees
Step-by-step explanation:
Alternate interior angles: 123 is angle ACS, so that means PAC has the same value as this because PQ and RS are parallel.
So, now just subtract 50 from 123 to get x.
pls help will mark as brainlist
A has 12 sides B is 5 sides
Step-by-step explanation:
Answer:
A. 12 B. 5
Step-by-step explanation:
First we will do B.
Interior is 108 degrees Lets make an equation, 108={(n-2)*180}/n
Let's simplify
Now we have 108n=180n-360
180n-108n=360
Now we have 72n=360
n=5.
Now time for the first one.
150={(n-2)*180}/n
150=180n-360
180n-150n=360
30n=360
n=12
Hyung-Jin did an analysis of starting salaries of elementary school teachers in his area. He called three schools and was quoted the following salaries: \$28,300,\$27,000 , and $ 3,000, . What is the average salary in his area? Show your work.
Answer:
average - $19,333.33
Step-by-step explanation:
$28,300, $27,000 , and $ 3,000
total =58,000/3 = 19,333.33
What operations are defined for these matrices?
The answer choices are M+N, N-Q, Q+L, M-P. Please help I really don’t know.
Step-by-step explanation:
if you are looking for the matrix or matrices then
L=2x2
p=2x2
q=2x1
m=4x2
n=4x2
This is cause the formula to get these is RxC or R=rows and C=columns
(i hope this is it, if not comment and lemme know)
Which point satisfies the system of equations y = 3x − 2 and y = -2x + 3?
Answer:
D
Step-by-step explanation:
Apply 1 as x, y = 3(1) - 2 is 1 and y = -2(1) + 3 is also 1, so the point is at (1, 1)
The sides of a rectangle are in the ratio of 5:6. If its longer side is 7.2 in., find the shorter side, the perimeter, and the area of this rectangle.
Answer:
The shorter side is 6.
The perimeter is 26.4 inches.
The area is 43.2 inches[tex]^{2}[/tex]
Step-by-step explanation:
The ratio 5;6 and the given longer side is 7.2 in.
Since it is the longer side, the '6' in the ratio is 7.2 in.
Let x be the shorter side
5:6 = x : 7,2
Divide 7.2 to 6.
7.2 ÷ 6 = 1.2
Then multiply 1.2 to 5.
1.2 * 5 = 6
So the shorter side is 6.
L = 7.2
W = 6
Now to find the perimeter, let's use the formula
P = 2L + 2W
Let's put the values in the formula
P = 2(7.2) + 2(6)
P = 14. 4 + 12
P = 26.4
The perimeter is 26.4 inches
To find the area, let's use the formula
A = LW
A = (7.2)(6)
A = 43. 2 inches[tex]^{2}[/tex]
Answer:
shorter side= 6
p= 26.4
a= 43.2
Step-by-step explanation:
What equation represents a line which is perpendicular to the line y = -6/5 - 7?
Answer:
B. (top right) 6y - 5x = 18
Step-by-step explanation:
Is the equation of the given line
y = -6/5 x - 7?
The x is missing.
If so, then the slope of the given line is -6/5.
A perpendicular line has a slope that is the negative reciprocal of -6/5, so we need a slope of 5/6.
A.
6x - 5y = 30
-5y = -6x + 30
y = 6/5 x - 6
Here the slope is 6/5, so this is not it.
B.
6y - 5x = 18
6y = 5x + 18
y = 5/6 x + 3
This is it.
C.
6x + 5y = 20 has negative slope, so it is not it.
D.
5x + 6y = 42 has negative slope, so it is not it.
A bank charges $27 every week. Which integer shows the amount
charged after 5 weeks?
Answer:
27x5=135
Step-by-step explanation:
Answer:
135$
Step-by-step explanation:
27x5 equals 135$
Would appreciate brainliest
1/3(12-9y) distributive property
Answer:
4 - 3y
Step-by-step explanation:
[tex]\frac{1}{3}[/tex] (12 - 9y) ← multiply each term in the parenthesis by [tex]\frac{1}{3}[/tex]
= 4 - 3y
The simplification of 1/3(12-9y) using distributive property is 4 - 3y
What is distributive property?According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
For example, 2( x +y ) can be simplified as 2 × x + 2 × y
= 2x + 2y. This is distributive property.
Similarly, ⅓( 12- 9y) can be simplified as
(1/3 × 12) - (1/3 × 9y)
= 4 - 3y
Therefore 1/3(12-9y) is equivalent to 4 - 3y
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What to do after combining terms?
Answer: I might be wrong but...
x = 2 1/3
Step-by-step explanation:
1 1/4x + 3 = 4 3/4 + 1/2x
- 1/2x -1/2x
3/4x + 3 = 4 3/4
- 3 - 3
3/4x = 1 3/4
3/4x / 3/4 = 7/4 / 3/4
x = 2 1/3