Answer:
[tex](y+3)(y-5)[/tex]
Step-by-step explanation:
Given the following equation:
[tex]y^2-2y-15[/tex]
To factor any equation, we must first break the equation into different groups and then factor out common terms in till we reach our solution.
[tex]y^2-2y-15[/tex]
[tex](y^2+3y)+(-5y-15)[/tex]
[tex]y^2=yy=y(y+3)[/tex]
[tex]y(y+3)+(-5y-15)[/tex]
[tex](-5y-15)=-5(y-15)[/tex]
[tex]y(y+3)+-5(y-15)[/tex]
[tex]15\div5=3[/tex]
[tex]y\left(y+3\right)-5\left(y+3\right)[/tex]
[tex]y\left(y+3\right)-5\left(y+3\right)=(y+3)(y-5)[/tex]
[tex]=(y+3)(y-5)[/tex]
Your answer is "(y + 3)(y - 5)."
Hope this helps.
Answer:
[tex](y-5)(y+3)[/tex]
Step-by-step explanation:
To factorize [tex]y^2-2y-15[/tex]
[tex]\textsf{for} \ ax^2+bx+c \ \textsf{find} \ v, w \ \textsf{such that} \ v \cdot w=a \cdot c \ \textsf{and} \ v+w=b\\ \textsf{ and group into} \ (ax^2+vx)+(wx+c)[/tex]
[tex]a \cdot c=1 \cdot -15=-15[/tex]
[tex]b=-2[/tex]
Therefore, the 2 numbers that multiply together to give -15 and add together to give -2 are: -5 and 3
[tex]\implies y^2-5y+3y-15[/tex]
[tex]\implies (y^2-5y)+(3y-15)[/tex]
Factor the parentheses:
[tex]\implies y(y-5)+3(y-5)[/tex]
Factor out the common term [tex](y-5)[/tex]:
[tex]\implies (y-5)(y+3)[/tex]
Is anyone able to help me with finding the volume of the triangular prism
Answer:
1296 m³
Step-by-step explanation:
Volume = area * height.
Take any of the given faces. I have taken 12m & 12 m.
Area of this face = 1/2 * 12m * 12m
= 72 m²
Height = 18 m.
Thus,
Volume = 72m² * 18m = 1296 m³
what is -21222 divided by -34627?
Answer:
0.6128743466
Step-by-step explanation:
Answer:
0.6128743466
Step-by-step explanation:
[tex]\frac{-21222 }{-34627}[/tex] =0.6128743466
Negative divided by a negative makes the answer positive
write an equation of the quadratic function that has x-intercepts 5-i√2 and 5+i√2
Answer:
f(x) = x² - 10x + 27
Step-by-step explanation:
Given the x- intercepts of f(x) are x = a and x = b, then the factors are
(x - a) and (x - b) and f(x) is the product of the factors, that is
f(x) = (x - a)(x - b)
Here the x- intercepts are 5 - i[tex]\sqrt{2}[/tex] and 5 + i[tex]\sqrt{2}[/tex] , thus the factors are
(x - (5 - i[tex]\sqrt{2}[/tex] )) and (x - (5 + i[tex]\sqrt{2}[/tex] )) , that is
(x - 5 + i[tex]\sqrt{2}[/tex]) and (x - 5 - i[tex]\sqrt{2}[/tex] , then
f(x) = (x - 5 + i[tex]\sqrt{2}[/tex] )(x - 5 - i[tex]\sqrt{2}[/tex] ) ← expand using FOIL
= (x - 5)² - 2i² ← i² = - 1
= x² - 10x + 25 + 2
= x² - 10x + 27
⚠️⚠️ ANSWER PLEASE question in image ( please explain ? ? )⚠️⚠️
Answer:
i cant see the picture
Step-by-step explanation:
sowey
Answer:
(0,-2)
Step-by-step explanation:
WILL MARK BRAINLIEST, PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER!!!
The equation for lines can be written as y = –6x + 2. Line t includes the point (–6, –7) and is perpendicular to line s. What is the equation of line t?
The table represents a linear function.
[ x y ]
-----------
-2 8
-1 2
0 -4
1 -10
2 -16
-----------
What is the slope of the function?
–6
–4
4
6
(5, -8) m = -3
Write an equation in point-slope form
Answer:
y + 8 = - 3(x - 5)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 3 and (a, b) = (5 - 8) , thus
y - (- 8) = - 3(x - 5) , that is
y + 8 = - 3(x - 5)
Help me out look at the picture I wanna go to sleep
Answer:
It's B
Step-by-step explanation:
hope that helps :)
and go to sleep already <3
Answer:
B
Step-by-step explanation:
What is -y + y.............
Answer:
the answer would be 0
You buy 70 of your favorite songs from a Web site that charges $0.99 for each song. What is the cost of 70 songs? Use mental math.
Answer:
69.3
Step-by-step explanation:
70-0.7
Answer:
$69.3
Step-by-step explanation:
I did mental math
solve 3-(3x-4)=2x+3(3x-7)
pls help and show steps will mark brainliest
Answer: x=2
Step-by-step explanation:Step 1: Simplify both sides of the equation.
3−(3x−4)=2x+3(3x−7)
3+−1(3x−4)=2x+3(3x−7)(Distribute the Negative Sign)
3+−1(3x)+(−1)(−4)=2x+3(3x−7)
3+−3x+4=2x+3(3x−7)
3+−3x+4=2x+(3)(3x)+(3)(−7)(Distribute)
3+−3x+4=2x+9x+−21
(−3x)+(3+4)=(2x+9x)+(−21)(Combine Like Terms)
−3x+7=11x+−21
−3x+7=11x−21
Step 2: Subtract 11x from both sides.
−3x+7−11x=11x−21−11x
−14x+7=−21
Step 3: Subtract 7 from both sides.
−14x+7−7=−21−7
−14x=−28
Step 4: Divide both sides by -14.
−14x
−14
=
−28
−14
x=2
HELP PLEASE ASAP DUE AT MIDNIGHT!!!!!!!!!
Step-by-step explanation:
20) <
21) <
22)-20,√26,√35,13.5
23)-5.25,3/2,√6,5
24)4³=64
5³=125
perfect squares between them:
8²=64
9²=81
10²=100
11²= 121
Show work on y=-4x-1
Find the slope
m=-4. Or atleast that’s what I’ve heard.
Andre wants to buy a $230 MP3 player. He has $50 and will save $30 per month. Write an equation in slope intercept form to determine how much Andre will have to save.
Answer:
Step-by-step explanation:
A=230
230-50=180
He will have to save 180
He can save 180 in :
180:30=6 mounths
Answer:
y=30x+50
Step-by-step explanation:
he has a base number of 50 dollars starting out (b) and he will gain 30$ once a month (x)
A man drove his car a distance of 366 miles in 6 hours. If continuing at this rate is possible, he will travel miles in 7 hours
Answer:
its 427 since 366 divided by 6 is 61 and thats the rate multiply it by the hours so its 42
Answer: 427 miles
Step-by-step explanation:
You simply divide 366 by 6,
Then, multiply that number by 7
366/6 = 61
61 * 7 = 427
Mindy spent $6.24 for a new binder, $1.95 for a notebook, and $5.59 for a new pack
of her favorite mechanical pencils. Estimate ABOUT how much did she spend?
Answer:
$14.20
Step-by-step explanation;
Rounding$6.24=$6.20
$1.95=$2.00
$5.59=$6.00
So now we have done our rounding, We just have to add them together now.
($6.20+$2.00+$6.00=$14.20)
Answer:
Mindy spent around $13
Step-by-step explanation:
I just added up all the whole numbers.
But I noticed that it is ALMOST $2 for a notebook.
So, even though the sum of all the whole numbers is 12, I assumed it would be more than 12.
So Mindy spent around $13
Hope I helped :)
Please consider Brainiest :)
Help pls
Part A: Show another way to find the slope of the line that passes through the points listed in the table. Your way must be different from Avery's method.
Step-by-step explanation:
Slope of line= (y2-y1)/(x2-x1)
= (45-18)/(20-8)
= 27/12
= 9/4
The following is the correct way to show the product for 0.297 times 7.1
Answer:
True
Step-by-step explanation:
True
No, This is not the correct way to solve the product of 0.297 and 7.1.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
To solve the product for 0.297 times 7.1.
So, The product for 0.297 times 7.1 is,
⇒ 0.297 × 7.1 = 2.1087
But here the product for 0.297 times 7.1 is 21.087.
So, This is not the correct way.
Learn more about the multiplication visit:
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If you are buying at item at a store for a price of $21, and there is a 8.7% tax added on top, what would be the total amount due at the register, to the nearest cent?
Answer:
22.83 I think
Step-by-step explanation:
I NEED HELP PLEASE ITS DUE AT 1:00am
Answer:
5(4) + 5(8)
Step-by-step explanation:
Distributive property is a(b + c) = ab + ac. The beginning value distributes to the other values inside the parentheses. Hope this helped!
Solve the linear equation.
45 = -( 7x + 1) +4(-8x-8)
Answer:
Today: Monday, 12 October 2020
Hour: 13.35 WIB (in Indonesian)
_________________________
Can anybody help me please with question 2 please and thank you .I would really appreciate it so much. Please and thank you
Answer:
See below.
Step-by-step explanation:
See image for labels (labels are in blue).
Statements: Reasons:
1) [tex]T\text{ is the midpoint of } \overline{ZC}[/tex] Given
2) [tex]\overline{GT}\perp\overline{ZC}[/tex] Given
3) [tex]\angle GTZ\text{ and } \angle GTC\text{ are right angles}[/tex] Def. of Perpendicular Lines
4) [tex]\overline{ZT}\cong\overline{TC}[/tex] Def. of Midpoint
5) [tex]\angle GTZ\cong\angle GTC[/tex] Right Angles Are Congruent
6) [tex]\overline{TG}\cong\overline{TG}[/tex] Reflexive Property
7) [tex]\Delta TGZ\cong\Delta TGC[/tex] SAS Congruence
And we're done!
Answer:
Sorry that looks a bit confusing though
Step-by-step explanation:
Mr. Williams's class has 12 girls and 17 boys. He plans to randomly select one student to take notes each day for the class
notebook. If all students are present, what is the probability that he randomly selects a girl to take notes on the first day of
class?
Answer:
12/29 chance or 0.413793103
Step-by-step explanation:
12+17=29
17/29 boys
12/29 girls
If 1 – 2i is a root of 3x2 + ax + b = 0, find the value of b.
Answer:
a=−(1+1)=−2
b=(1+1)=2
Step-by-step explanation:
i need help helping my brother asap
Evaluate the equation.
7.15e = 64.35
A. e = 8
B. e = 9
C. e = 460.0125
D. e = 460.1025
Can someone help, I don’t know what I’m doing wrong.
Given the following least-squares regression line, how many seconds does this model predict a 7-foot pendulum would take to complete one period?
Answer:
the answer is the 1 with the check on it
11.2 seconds given model predicts a 7-foot pendulum that would take to complete one period.
The correct answer is option (D)
What is regression?"It is statistical model which is used to determine the relationship between variables."
What is least square method?"The least squares method is a mathematical regression analysis used to determine the line of best fit for a set of data."
Logarithm property:If log x = b, then x = (10)^b
Given : the least-squares regression line,
log Time = 0.699 + 0.500 log(Length)
We need to find the time when given model predict a 7 foot pendulum would take to complete one period.
Here, Length = 7 ft
Using given model,
⇒ log Time = 0.699 + 0.500 log(7)
⇒ log Time = 0.699 + (0.5 × 0.8451)
⇒log Time = 0.699 + 0.423
⇒ log Time = 1.122
⇒ Time = [tex]10^{1.122}[/tex]
⇒ Time = 13.2 seconds
Therefore, the correct answer is option (D) 13.2 seconds.
Learn more about least-squares regression here:
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Ricky is inviting 8 friends to a party. If each friend will get 6 cookies and in each box are 10 cookies, how many boxes will Ricky need to get?
Answer:
5
Step-by-step explanation:
8 times 6 is 48. 5 boxes times 10 in each one is 50 cookies.
Number of boxes Ricky needs to get to a party is equals to 5 boxes.
What is word problem?
" A word problem is a mathematical problem in which we represents the real life examples with the help of mathematical operation."
According to the question,
Number of friends invited in a party = 8
Number of cookies given to each friend = 6
Total number of cookies required for 8 friends = 8 × 6
= 48 cookies
Number of cookies in each box = 10 cookies
Number of boxes for 1 cookie = 1 / 10
Number of boxes for 48 cookies = (1 / 10) × 48
= 4.8
= 5 boxes (Number of boxes cannot be
in decimals)
Hence, number of boxes Ricky needs to get to a party is equals to 5 boxes.
Learn more about word problem here
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75g of flour and 135 ml of milk are used to make 12 biscuits. How much flour is needed to make 30 biscuits?
here are 10 numbers 3 7 2 4 7 5 7 1 8 8
I need help with my question