Factor p 2 + 18 p + 32.
But it’s P squared
Answers
This can be factored into the product of two binomials.
We are going to setup two sets of parenthses and inside each set of parenthses will be the two terms that compose each binomial.
The first term in each binomial will be a factor of the p² term.
Since p² breaks down into p · p, we use a p
as the first position in each binomial.
The second term in each binomial will be the factors of
our constant term that add to the coefficient of the middle term.
These factors are +16 and +2.
So our answer is (p + 16)(p + 2).
Check out the image provided.
I have showed the different pairs of factors of 32.
However, only +16 and +2 add to the coefficient of the middle term.
Related Questions
HELP ASAP LINEAR EQUATIONS!!
Answers
Answer:
y = 4/3x - 10.
Step-by-step explanation:
3x + 4y = 12
4y = -3x + 12
y = -3/4x + 3
If a line is perpendicular to another, the line has a slope that is the negative reciprocal of the other line. Since the given line has a slope of -3/4, the line perpendicular to that line will have a slope of 4/3.
So far, for the equation of the line, we have an equation of y = 4/3x + b.
To find b, simply substitute the coordinates (6, -2) for x and y.
-2 = 4/3(6) + b
b + 4/3(6) = -2
b + 8 = -2
b = -10
So, the equation of the line will be y = 4/3x - 10.
Check your work...
-2 = (4/3)(6) - 10
-2 = 8 - 10
-2 = -2
Hope this helps!
Answer: C) [tex]y = \frac{4}{3} x-10[/tex]
Step-by-step explanation:
First change this equation into slope-intercept form(y = mx + b). y = -3/4x + 3.
For a line to be perpendicular to another line, it must have an opposite reciprocal slope. The opposite reciprocal of -3/4 is 4/3. Thus, the answer is NOT B. Then, attempt to plug in 6, -2 into each equation. The only one where it works is C.
Hope it helps <3
y = 16-x^2
Find the value of k
Answers
Answer:
k = - 4
Step-by-step explanation:
Given
y = 16 - x²
The point (k, 0 ) is a zero. To find the zero let y = 0, that is
16 - x² = 0 ( add x² to both sides )
16 = x² ( take the square root of both sides )
x = ± [tex]\sqrt{16}[/tex] = ± 4
The zeros are x = - 4 and x = 4
Since (k, 0 ) is to the left of the origin, then k = - 4
Please Help me ASAP Just answers please ;)
Answers
Answer:
C
Step-by-step explanation:
< means exclusive, so open hole
≤ means inclusive, so closed dot
also, you can see that the values for y are going down, like 6, 4, 2. That's only in answer C.
Last week, Lindsay earned $10 per hour plus a $60 bonus for good job performance. She spends of her paycheck on dinner with friends. If she had not earned the bonus, the amount she spent on dinner would have been of her paycheck. Which equation can be used to find h, the number of hours Lindsay worked last week?
Answers
Answer:
Equation that can be used to find h is 1/15*(10h+60)=1/10*(10h)
Lindsay worked for 12 hours last week
Step-by-step explanation:
Complete question below:
last week, Lindsay earned $10 per hour plus a $60 bonus for good job performance. She spends 1/15 of her paycheck on dinner with friends. If she had not earned the bonus, the amount she spent on dinner would have been 1/10 of her paycheck. Which equation can be used to find h, the number of hours Lindsay worked last week?
Let
y= cost of the dinner with friends
h=the number of hours Lindsay worked last week
y=1/15*(10h+60) (1)
y=1/10*(10h) (2)
Equate (1) and (2)
1/15*(10h+60)=1/10*(10h)..........equation used to find h
10h+60/15=10h/10
Cross product
(10h+60)10=15(10h)
100h+600=150h
600=150h-100h
600=50h
Divide both sides by 50
600/50=50h/50
12=h
Therefore, Lindsay worked for 12 hours last week
What is 3/5 of £85? PLEASE HELPPP
Answers
Answer:
51
Step-by-step explanation:
85/5x3=51
Answer:
Hey!
3/5 of 85 = 51!
Step-by-step explanation:
3/5 = 0.6
So 0.6 x 85 = 51!
HOPE THIS HELPS!!
Which phrase should be inserted on the line to correctly compare the two fractions? Use the models to help. StartFraction 7 Over 8 EndFraction blank line StartFraction 2 Over 4 EndFraction StartFraction 7 Over 8 EndFraction StartFraction 2 Over 4 EndFraction A circle divided into 8 equal parts. 7 parts are shaded. A circle divided into 4 equal parts. 2 parts are shaded. is greater than cannot be compared to is less than is equal to
Answers
Answer:
7/8 is greater than 2/4
Step-by-step explanation:
In this question basically, what we are trying to do is to compare fractions and state which is greater or less.
The first fractions in the question is;
7/8 _ 2/4
Now, one of the best ways to go around comparing fractions is looking at the denominators.
In this question, the denominators in the fractions are 8 and 4.
The next thing to do here is to multiply the numerator and the denominator of the first by 4 and the numerator and the denominator of the second by 8. This makes it possible for us to have the same denominator in both fractions and thus compare both fractions directly.
Thus, what we have would be;
7/8 = 7/8 * 1 = 7/8 * 4/4 = 28/32
Now for the fraction;
2/4 = 2/4 * 1 = 2/4 * 8/8 = 16/32
We can see they both have a common denominator and we can directly compare their numerators.
Obviously, 28 is greater than 16 and this makes a case for the fact that 7/8 is greater than 2/4
So what we have in the blank is ; is greater than
Kindly note that the other part of the question that talks about shading circles is same as saying 7/8 and 2/4
Answer:
is less than
Step-by-step explanation:
look at da graph and watch mario.
Q2.
If ε = {x: x is an integer such that 1<x<20} and A = {8, 9, 10, 11, 12, 13, 14} and
B = {2, 4, 6, 8, 10, 12, 14, 16, 18}.
(i) List down the elements of A’ and B’
(ii) Are sets A - B and B - A equal sets?
(iii) Find and compare the sets (AUB)’ and A’∩B’ and share your observations
please please please please answer it it's so much inportant
Answers
Answer:
see below
Step-by-step explanation:
A = {8, 9, 10, 11, 12, 13, 14} and B = {2, 4, 6, 8, 10, 12, 14, 16, 18}
----------------
(i) List down the elements of A’ and B’
{8, 9, 10, 11, 12, 13, 14, 2, 4, 6, 8, 10, 12, 14, 16, 18} - this is the elements of both sets
----------
(ii) Are sets A - B and B - A equal sets?
A-B= {9, 11, 13}
B-A= {2, 4, 6, 16, 18}
These are not equal as we can see
----------
(iii) Find and compare the sets (AUB)’ and A’∩B’ and share your observations
A∪B= {2, 4, 6, 8, 9, 10, 11, 12, 13, 14, 16, 18}- union included all elements of both sets
A∩B= {8, 10, 12, 14} - intersection only includes common elements
please help and explain, will give BRAINLIEST! (also, use things like sin, cos, tan, pythagorean theorem, etc to solve please)
Answers
Answer:
The triangle's altitude is 15
Step-by-step explanation:
Notice that triangle ABD is a right angle triangle, and therefore its sides should verify the Pythagorean theorem:
[tex]hyp^2=side_1^2+side_2^2[/tex]
for this triangle the hypotenuse (b) is 47.43; side (a) is 45, and the last side (the segment BD) is our unknown (the triangle's ABC altitude). Then the Pythagorean theorem becomes:
[tex]hyp^2=side_1^2+side_2^2\\47.43^2=45^2+BD^2\\BD^2=47.43^2-45^2\\BD^2=224.6049\\BD=\sqrt{224.6049} \\\\BD=14.9868[/tex]
which rounded will give 15
Help me please I need some help with math
Answers
Answer:
sorry i dont understand
Step-by-step explanation:
blessings has cherries
she eats 1/4 of them
she has 18 cherries left
how many did she have at the beginning
Answers
Answer:
24 cherries
Step-by-step explanation:
18 is 75% of the original amount, meaning 25% will be 6 cherries.
So, 18 + 6 = 24, the original amount
Answer:
24 cherries
Step-by-step explanation:
If she has 18 now, and ate 1/4, its easiest to think of 18 as the other 3/4. When divided by 3, we get 6. If 18 is three sets of 6, you just add the fourth one to it to find the original amount. The answer is 24.
5c/f=1/r, solve for r, c and f.
Answers
Answer:
c = 1, f = 5, and r = 1
Step-by-step explanation:
5(1)/(5) = 1/(1)
5/5 = 1/1
1 = 1
Step-by-step explanation:
5c = 1
f r
solving for r
5rc = f
r = f
5c
solving for c
if r = f
5c
5rc = f
c = f
5r
solving for f
f = 5cr
A transversal intersects two lines and forms a pair of same side interior angles that measure 36° and 4 times that measure. Prove that the lines are parallel. Please answer now I need it desperately. thx.
Answers
Answer:
The addition of the same side interior angles is equal to 180°
Step-by-step explanation:
If the addition of the same side interior angles is equal to 180°, then the lines are parallel. One angle measure 36°, the other angle measures 4*36° = 144°. The addition gives 36° + 144° = 180°.
See picture attached; given that m║n then ∠1 ≅ ∠4 and ∠2 ≅ ∠3. Also, ∠1 + ∠3 = ∠2 + ∠4 = 180°; combining, we get ∠1 + ∠2 = 180°, where ∠1 and ∠2 are same side interior angles. This conclusion was gotten because we knew that m and n were parallel.
If 94 people attend a concert and tickets for adults cost $2.5 while tickets for children cost $1.75 and total receipts for the concert was $203.5, how many of each went to the concert?
Answers
Answer:
52 adults and 42 children attended the concert
Step-by-step explanation:
Given:
Total attendees=94 people
Adults tickets=$2.5
Children tickets=$1.75
Total receipts=$203.5
Let adults=a
Children=c
a+c=94 (1)
2.5a + 1.75c=203.5 (2)
From (1)
a+c=94
a=94-c
Substitute a=94-c into (2)
2.5a + 1.75c=203.5
2.5(94-c) + 1.75c=203.5
235-2.5c+1.75c=203.5
-0.75c=203.5-235
-0.75c=-31.5
Divide both sides by -0.75
-0.75c/-0.75=-31.5/-0.75
c=42
Substitute c=42 into (1)
a+c=94
a+42=94
a=94-42
=52
a=52
Therefore,
52 adults and 42 children attended the concert
Justin plans to attend a four-year college. He has estimated the costs per year.
Tuition = $2,900
Other educational expenses = $280
Housing and living expenses = $4,100
Justin’s counselor estimates he will receive $3,500 a year in grants. He also will be eligible for a work-study program that pays $2,800 per year. Justin also plans to save enough money to contribute $500 each year.
Justin’s plan doesn’t cover his costs completely. What are his options for covering the rest of his costs? Select all that apply.
He could try to save more money.
He could get a student loan for the extra amount he needs.
He could apply for a scholarship.
He could ask his friends to loan him money.
He could ask his family to contribute.
Answers
Answer:
A, B, C, E
Step-by-step explanation:
I literally just did the question on edge.
Answer:
a,b,c,e
Step-by-step explanation:
HHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!...............................................................please?
Answers
Answer:
Hey!
Your answer should be
Step-by-step explanation:
To find the BASE: 8 x 4 = 32cm^2
To find the angled TOP FACE: 10 x 4 = 40 cm^2
To find the TRIANGLES: (6x8)/2 x 2 = 48 cm^2
To find the REAR FACE: 6 x 4 = 24 cm^2
TOTAL: 32 + 40 + 48 + 24
SUFACE AREA: 144cm^2
Hope this helps!
Answer:
192 cm ^3
Step-by-step explanation:
find area of cross section x depth
6 times 8 is 48
depth is 4
48 x 4 is 192
Bridget drives at a speed of 60 miles per hour. How long will it take to drive 270 miles?
Answers
Answer:
4 hours and 30 minutes.
Step-by-step explanation:
270÷60=4.5
Answer:
4 1/2 hours (((:
Step-by-step explanation:
The table shows how the average cost of gasoline at one gas station changed over the past four months. Which graph might a magazine use to show the data?
Answers
Answer:
B/2
Step-by-step explanation:
The table mentions that the time actually starts from the end of the first month, so it cannot be graph one, which starts from 0.
Also, we can see that the values are decreasing over time, meaning it cannot be graph 3, which shows an increase.
thus, we settle the Answer as Graph 2, which satisfies all the needs.
Hope this helps.
Solve (x − 2) = 3
Give your solutions correct to 3 significant figures.
Answers
Answer:
(x − 2) = 3
Remove the bracket
x - 2 = 3
Group the constants at one side of the equation
x = 2 + 3
x = 5
Therefore x = 5.00 to 3 significant figures.
Hope this helps
Rai compares two cable plans from different companies. Which equation gives the correct value of m, the number of months for which Plans A and B cost the same?
Answers
Answer:
D. 75m = 50(12)+125(m-12)
Step-by-step explanation:
m = months.
Equation for which Plans A and B cost the same.
In Plan A:
No initial fees.
$75 per month
1 month = $ 75
then;
for m month =$75 m
Total cost for plan A = 75m
In Plan B:
$50 per month for first 12 month.
1 month = $50
12 months = 50(12)
Similarly,
$125 per month for each additional month after that.
additional month= (m-12)
Plan B additional month
= 125(m-12)
Total cost for plan B = 50(12)+ 125(m-12)
Since, Plans A and B cost the same.
75m = 50(12)+125(m-12)
What are the coordinates of the vertex of the parabola described by the equation below? y=-2(x+7)^2+22
Answers
Answer:
(-7,22)
Step-by-step explanation:
x+7 moves the graph left 7 (-7)
+22 moves it up 22
the 2 at the beginning is a shrink and it doesn't matter when finding the vertex
What is the slip of the line shown below?
Answers
Answer:
Assuming you mean slope, the answer would be ...
2
The photo is pretty blurry but from what I see, from point 1 to point 2 the line shifts over 1 and goes up 2 units. In other words, slope=rise/run so the slope of this line = 2/1.
When you reduce 2/1 you get 2. I know the slope is positive because the line is going up from the y-axis not down.
Therefore, your answer is 2
Hope this helps!
Answer: 2
Step-by-step explanation:
The slope would be 2 :)
The owner of a fruit stand gathered data for a week about the number of watermelons, pumpkins, and cantaloupes sold each day. She represented the data in two scatter plots.
Does either scatter plot indicate a positive correlation between the variables?
A.) only plot A
B.) only plot B
C.) both plot A and plot B
D.) neither plot A nor plot B
Answers
The reasoning is because all of the points for plot A are fairly close to the same straight line. This straight line has a positive slope. We call this line the regression line.
In contrast, plot B seems to have the points randomly scattered about. We can't draw a good fitting straight line to get near all of the points. So plot B does not show positive linear correlation.
Side note: the correlation coefficient for plot A will have its r value close to 1. The r value for plot B will be close to 0.
The answer is A.) only plot A
The diagram shows an irregular octagon. Work out the sum of the interior angles.
Answers
Answer:
1080°
Step-by-step explanation:
Sum of interior angles = 180°(n-2)
Where n is the number of sides of the polygon
Therefore,
Sum of interior angles of an octagon =180°(8-2)
=1080°
A polygon is a geometrical shape that has between 1 to an infinite number of sides. A polygon can come in two forms:
Regular polygonIrregular polygonThe sum of the interior angles of the irregular octagon is 1080°
The formula to solve for the sum of the interior angles of an irregular polygon is given as:
(n - 2) x 180°
Where n = number of sides.
An octagon is a polygon that has 8 sides. Hence, n = 8
So: (8 - 2) x 180°
= 6 x 180°
= 1080°
Therefore, the sum of the interior angles of the irregular octagon is 1080°
To learn more, visit the link below:
https://brainly.com/question/23425100
Hannah was trying to guess the month of her brother's birthday? She knew that the
month had less than five letters in its name. What is the probability that Hannah guesses
the correct month?
Round to the hundredths place.
Answers
Answer:
1/4 or 0.25
Step-by-step explanation:
1)January
2)February
3)March
4)April
5)May
6)June
7)July
8)August
9)September
10)November
11)October
12)December
Months that have less than five letters in its name
June
July
May
Probability= successful outcome ÷ possible outcone
Successful outcome=3
Possible outcome=12
Probability of Hannah guessing her brother's birthday=3÷12=1/4
Type the missing number in the sequence
Answers
Answer:
10
Step-by-step explanation:
Take the third term and divide by the second term
1000/100 = 10 which is the common ratio
To find the first term divide by the common ratio
100/10 = 10
The first term is 10
Answer: 10
Step-by-step explanation:
1, 10, 100, 1,000, etc.
The formula is 1/10 if you’re going left or 10/1 if you are going right.
The fourth term is 10,000, the third term is 1,000, the second term is 100, so the first term has to be 10
100 / 10 = 10
23. A 340 million square mile forest is how many hectares?
Answers
Answer:
88059595400 hectares
Step-by-step explanation:
Convert 340 million square miles into hectares.
1 square mile = 258.99881 hectares
340,000,000 square miles = 88059595400 hectares
The forest is 88059595400 hectares.
Answer:
[tex]8.80597(10^{10})[/tex] hectares
Step-by-step explanation:
This is unit conversion:
[tex]340,000,000miles(\frac{258.999 hectares}{1 mile} )[/tex]
We then multiply, with our units miles canceling out and leaving us with hectares:
[tex]8.80597(10^{10})[/tex] hectares
or
88059700000 hectares
square root of 524176 by long division
Answers
Answer:
724 is the square root of 524176.
Step-by-step explanation:
Square root of 524176 by long division method.
[tex]\sqrt{524176}[/tex] = 7) 52 41 76 (724
7 49
14 2) 341
2 284
144 4) 5776
5776
0
Therefore, square root of 524176 is 724.
Please answer this question fast in two minutes
Answers
Answer:
(3, 0)
Step-by-step explanation:
M = (-3, -4) - mid point
D= (-9, -8)
C=?
--------
Mid point:
x= (x1+x2)/2, y=(y1+y2)/2
-3= (-9 +x1)/2 ⇒ -6= -9 +x1 ⇒ x1= 9-6=3-4= (-8+y1)/2 ⇒ -8= -8 +y1 ⇒ y1= 8-8= 0C= (3, 0)
Given the equation y=2x-8, which statement is correct ? A.Y=2(x-4) has a y-intercept of 4 B. Y=2(x-4)has a y-intercept of -4 C. Y=2(x-4) has a x- intercept of 4 D. Y=2(x-4)has a x intercept of -4
Answers
Answer:
Correct option: C -> Y=2(x-4) has a x- intercept of 4
Step-by-step explanation:
To find the y-intercept of the equation y = 2x - 8, we just need to find the value of y when x = 0:
[tex]y = 2*0 - 8 = -8[/tex]
To find the x-intercept of the equation y = 2x - 8, we just need to find the value of x when y = 0:
[tex]0 = 2*x - 8[/tex]
[tex]2x = 8[/tex]
[tex]x = 4[/tex]
So the y-intercept is -8 and the x-intercept is 4.
Correct option: C -> Y=2(x-4) has a x- intercept of 4
convert the fraction to a decimal. 1/5=
Answers
Answer:
0.2
Step-by-step explanation:
1/5 or one-fifths is a whole divided into 5 equal parts.
Suppose 100. Divide 100 into 5 equal parts and we get 20.
The whole 1 divided into 5 equal parts is 0.2.
Answer: 0.2
Step-by-step explanation: Decimals represent fractions with denominators of 10, 100, 1,000, and so on.
Therefore, in order to write 1/5 as a decimal, we must first
find a fraction equivalent to 1/5 with a denominator of 10.
So we multiply the numerator and denominator of
1/5 by 2 to get the equivalent fraction 2/10.
Now we have a fraction that can be written as a decimal.
Since the tenths place is 1 place to the right
of the decimal, we can write 2/10 as 0.2.