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Please please help me with this question please now and show your steps
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a) y-intercept
The y-intercept is the point where it crosses the y axis so x would 0.
So putting in 0 for x:
y = x^2 - 8x + 7
y = 0^2 - 8(0) + 7
y = 0 - 0 + 7
y = 7
The y intercept is at the point (0,7).
b)
The zeroes are the points where it crosses the x axis so it’s when the y is set to 0.
0 = x^2 - 8x + 7
Since it’s a quadratic equation we have to factor it. We fill in 2 numbers that add to -8 and multiplied to equal 7.
(x +____)(x+ ____)
The 2 numbers are 7 and -1 because -1*-7=7 and -7+(-1)=-8. So:
0 = (x-7)(x-1)
So now we have x-7 and x-1 equaling some quantity. If either of those happens to equal zero, it makes the whole equation 0, because (x-7)0=0 and 0(x-1)=0
So we can set each of it separately to 0 to solve for x.
x-7=0
x= 7
x-1=0
x= 1
The zeroes are at the points (1, 0) and (7, 0)
C.
The Vertex Form of a Quadratic is:
y = a(x-h)^2 + k. And the vertex is (h, k)
y = x^2 - 8x + 7
y - 7 = x^2 - 8x
We want to complete the square by adding some number to both sides of the equation so that when we factor it we are going to get (x-a)(x-a).
So take half of 8 to get two equal numbers that would be our “a”. 8/2=4 so we want (x - 4)(x- 4).
(x-4)(x-4) multiplies out to x^2 - 8 + 16.
continuing,
y - 7 = x^2 - 8x
Add 16 to both sides.
y - 7 + 16 = x^2 - 8x + 16
y + 9 = (x-4)(x-4)
y + 9 = (x-4)^2
y = (x-4)^2 - 9 is the vertex form.
The vertex is at the point (4, -9). So the axis of symmetry is at the line x = 4.
D. The vertex is solved in C as the point (-4, -9).
A cube has a volume of 73 cubic centimeters. What is its surface area in
square centimeters?
Just type the number of the answer.
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Answer:
104.80 cm²
Step-by-step explanation:
Formula to know: Volume = e³ ; SA = 6e²
V = e³ Substitute what you know V = e³ and solve
73 = e³
[tex]\sqrt[3]{73}[/tex] = e one edge of the cube
Find the SA
SA = 6e² Substitute the value for e
SA = 6([tex]\sqrt[3]{73}[/tex])²
SA = 6([tex]\sqrt[3]{73} \sqrt[3]{73}[/tex] )
Sa = 104.80
what is the equation of the line that is perpendicular to y = −2x + 5 through the point (-4, -5)
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Step-by-step explanation:
m1=-2
m1m2=-1
-2m2=-1
m2=1/2
y+5/x+4=1/2
so 2y+10=x+4
2y-x=-6
Answer:
[tex]y=\frac{1}{2}x-3[/tex]
Step-by-step explanation:
Hi there!
We are given the equation y=-2x+5 and we want to find the equation of the line that is perpendicular to that line, and pass through the point (-4, -5)
Perpendicular lines have slopes that multiply to get -1.
So to find the slope of the perpendicular line: use the formula [tex]m_1*m_2=-1[/tex], where [tex]m_1=-2[/tex]
Substitute:
-2m=-1
Divide both sides by -2
m=[tex]\frac{1}{2}[/tex]
Here's the equation of the line so far, as we know it, written in slope-intercept form (y=mx+b, where m is the slope and b is the y intercept):
[tex]y=\frac{1}{2}x+b[/tex]
We need to find b.
Because we know the line passes through the point (-4, -5), we can use it to help solve for b.
Substitute -4 as x and -5 as y
[tex]-5=\frac{1}{2}(-4)+b[/tex]
Multiply:
-5=-2+b
Add 2 to both sides
-3=b
Substitute -3 as b:
y=[tex]\frac{1}{2}x-3[/tex]
Hope this helps!
My friend needs help!
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[tex] \frac{840}{1200} = 0.7 = \frac{7}{10} [/tex]
So, option (c) will be correct
Cheerio :)
1.Find the rate in the unit given, 78 liters in 2 hours (liters per hour) ?
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hope it helps you
can you brainlest me
explain step by step please and thanks
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Answer:
B
Step-by-step explanation:
5(h)=w+8. get rid of 5 by multiply
5h=w+8
w=5h-8
evaluate: 5/6 + 4/9 =___?
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Answer:
23/18 or 1 5/18
Step-by-step explanation:
In mathematics, adding and subtracting fraction required that all fractions are in similar, in converting dissimilar fraction into set of similar fraction requires finding its Least Common Denominator (LCD) or Least Common Multiple (LCM).
Equation Given
5/6 + 4/9
Finding LCM
- List down their multiples
The multiples of 6 = 6 12 18 24
The multiples of 9 = 9 18 27 36
Thus, their Least Common Multiple (LCM) is 18
Converting Dissimilar Fraction into Similar Fraction
The LCM is already the denominator
Divide the LCM by its original denominator then multiply by numerator to get the new numerator
5/6
(18 ÷ 6) × 5 = 15/18, new fraction
4/9
(18 ÷ 9) × 4 = 8/18, new fraction
Evaluate
15/18 + 8/18
= 23/18, or
= 1 5/18
Answer:
23/18 or 1 5/18
Step-by-step explanation:
In mathematics, adding and subtracting fraction required that all fractions are in similar, in converting dissimilar fraction into set of similar fraction requires finding its Least Common Denominator (LCD) or Least Common Multiple (LCM).
Equation Given
5/6 + 4/9
Finding LCM
List down their multiples
The multiple of 6
6 12 18 24
The multiple of 9
9 18 27 36
Thus, their Least Common Multiple (LCM) is 18
- Converting Dissimilar Fraction into Similar Fraction
The LCM is already the denominator
Divide the LCM by its original denominator then multiply by numerator to get the new numerator
5/6
(18 ÷ 6) × 5 = 15/18, new fraction
4/9
(18 ÷ 9) × 4 = 8/18, new fraction
- Evaluate
15/18 + 8/18
= 23/18, or
= 1 5/18
In the coordinate plane, point A(-1,-1) is translated to point A' (-3.-3). Under the same translation, the points B(-4,-4) and C(5.-5) are translated to B' and C' respectively. What are the coordinates of B' and C'?
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Answer:
B' (- 6, - 6 ) , C' (- 7, - 7 )
Step-by-step explanation:
Consider the coordinates of A and A'
A (- 1, - 1 ) , A' (- 3, - 3 )
- 1 to - 3 in both the x and y direction means subtracting 2 units , then
translation rule is
(x, y ) → (x - 2, y - 2 ) , then
B (- 4, - 4 ) → B' (- 4 - 2, - 4 - 2 ) → B' (- 6, - 6 )
C (- 5, - 5 ) → C' (- 5 - 2, - 5 - 2 ) → C' (- 7, - 7 )
Solve the equation x2-81 = 0.
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Answer:
40.5
Step-by-step explanation:
x2 - 81 = 0 --> + 81 to both sides
2x = 81 --> divide by 2 on both sides
x = 40.5
Answer:
2x-81=0
2x=0+81
2x=81
x=81
2
x=40.5 ANSWER.
MARK ME AS A BRAINLIST PLZ.
40 POINTS! Thank you so much if you answer!
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Answer:
o
Step-by-step explanation:
o
thx for the points :D
Help help help help
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Answer:
17 - 2= 15
so if you do
15 ÷ 3 = 5
so x= 5
i need an explanation what....wajfasjf
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Sarah and Maya must split the $15 they earned, from scorekeeping a volleyball game. Sarah says, “ there’s only one way to split this money, we both get $7.50.” Maya argued that there were an infinite number of ways to divide the money. Who is correct? Prove their argument.
(Please help!)
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Answer:
sarah is correct
Step-by-step explanation:
there are not multiple ways to divide you can only use division and the equation is 15/2
MNPQRSTU est le parallélépipède rectangle représente ci-dessous
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Answer:mie is
Step-by-step explanation: hehe
2/3 = 4/x+3 what is x?
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Answer:
-12/7
Step-by-step explanation:
2/3=4/x+3
2/3-3=4/x Subtract 3 from both sides
2/3-9/3=4/x Make them have a common denominator
-7/3=4/x
-7/3x=4
x=(4)/(-7/3)
x=[tex]\frac{-12}{7}[/tex]
Help ASAP I’m lost on this question
Answers
Answer: did u get it right
Step-by-step explanation:
Answer:
Step-by-step explanation:
2x ÷ (6x² -10x) and
[tex]\dfrac{2x}{6x^{2}-10x}[/tex]
May I please receive help?
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Answer:
81+71+x=180
152+x=180
x=180-152
x=28°
Step-by-step explanation:
Hope that this is helpful.
Have a great Day.
In February, 1985, the cost of a gallon of milk was $2.26. In November of 2007, how much would that gallon of milk cost?
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Answer:
is this the full question?
ryan has a balance of $75 in his savings account and deposits $25 each week. He needs at least $300 to buy the gift he wants for his birthday. Which inequality can be used to find W, the number of weeks when Ryan will have more than $300
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Answer:
25x + 75 ≥ 30
Hope this helps!
If (a + b)^2 = a^2 +n + b^2 , what is n?
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Answer:
[tex] {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} \\ n = 2ab[/tex]
which technolgy is nasa devloping that will help astronaughts reach mars?
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Answer:
The Mars 2020 rover mission has major new technologies that improve entry, descent, and landing: Range Trigger, Terrain-Relative Navigation, MEDLI2, and its EDL cameras and microphone.
Step-by-step explanation:
I hope this will help you
2x+10=12
so x=??
[tex]\huge \dag \sf{Help \: me}[/tex]
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Answer:
[tex]\sf\longmapsto\sf\boxed {x = 1}[/tex]
Step-by-step explanation:
[tex]\sf\longmapsto \: 2x + 10 = 12[/tex]
[tex]\sf\longmapsto \: \: 2x + 10 - 10 = 12 - 10[/tex]
[tex]\sf\longmapsto \: 2x = 2[/tex]
[tex]\sf\longmapsto \: \frac{2x}{2} = \frac{2}{2} [/tex]
[tex]\sf\longmapsto \: x = 1[/tex]
Answer:
[tex]\boxed {\sf x=1}[/tex]
Step-by-step explanation:
[tex]\sf 2x+10=12[/tex]
[tex]\boxed{\mathrm{Subtract\:}10\mathrm{\:from\:both\:sides}}[/tex]
[tex]\sf 2x+10-10=12-10[/tex][tex]\sf 2x=2[/tex][tex]\boxed{\mathrm{Divide\:both\:sides\:by\:}2}[/tex]
[tex]\sf \cfrac{2x}{2}=\cfrac{2}{2}[/tex][tex]\sf x=1[/tex][tex]\boxed{\sf Hope\: it\:helps!}[/tex]
evaluate 2/6 + 1/3 + 1/2 = ?
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Answer:
2/6 + ⅓ + ½
= (2+2+3)/6
= 7 / 6
= 1⅙
Step-by-step explanation:
brainliest plz
Answer:
1 1/6
Step-by-step explanation:
Find the common denominator for 6, 3, 2
6 is divisible evenly by all three of those numbers so 6 is the lowest common denominator.
Convert all the fractions into sixths.
The first fraction is already done.
1/3..... the denominator needs to be multiplied by 2 so you have to multiply the numerator by the same amount.
1/3 x 2/2 = 2/6
1/2.... the denominator needs to be multiplied by 3 so you do the same thing to the numerator.
1/2 x 3/3 = 3/6
Now you have
2/6 + 2/6 + 3/6 = 7/6
Simplify the answer
6/6 = 1 so remove 6/6 from 7/6 and you are left with just 1/6
So your answer will be 1 and 1/6 or 1 1/6
(6m^2-3m+15)(4m-7) simplify
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2 4[tex]m^{3}[/tex] − 5 4[tex]m^{2}[/tex] + 8 1 − 1 0 5
Answer:
24m^3−54m^2+81m−105
Step-by-step explanation:
calculate the range of the following numbers: 11,13,15,9,19,12,21,14,10,15,16,8,11,11,10
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Answer:
it should be 13
Step-by-step explanation:
Answer:
The Range is 13
Step-by-step explanation:
Mean (Average): 13
Median: 12
Range:13
Largest: 21
Smallest: 8
Sum: 195
Count: 15
(Hope this helps can I pls have brainlist (crown)☺️
Help please!! Geometry
Applying angle pair relationships
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Answer:
m∠2 = 75°
m∠1 = 105°
Step-by-step explanation:
1. First, we should recognize that the angle that's 75° and ∠2 are alternate interior angles, formed on the interior of the opposite sides of the transversal. Alternate interior angles are congruent, so m∠2 = 75°.
2. Next, ∠2 and ∠1 are a linear pair, meaning their angle measures add up to 180°. Considering that m∠2 is 75 degrees, we just have to subtract 75 from 180, and we get the measure of ∠1.
[tex]180-75[/tex] [tex]105[/tex]Therefore, m∠1 = 105°.
Evaluate -5x+8 when x=3 The value of the expression is
Answers
Answer:
-7
Step-by-step explanation:
replace x by 3
-5^3+8
-15+8
=-7
-5x+8
-5(3)+8
-15+8
-17
Help!!!!!
factor 3^2+15x-42
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Answer:
3(5x−11)
Step-by-step explanation:
32+15x−42
15x−33
=3(5x−11)
It takes 1 1/3 cups of cherries to make a cherry pie. Larry wants to make 5 cherry pies. How many cups of cherries will Larry need?
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Answer:
Larry will need 6 and 2/3 cups of cherries.
Step-by-step explanation:
since one pie takes 1 1/3 cups, you would want to multiply that by 5 to see how many cups it will take for 5 pies. When you do this, you get a mixed number of 20/3 which simplifies to 6 2/3. I hope this helps.
guys pls help me!!!!!!
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Answer: 100
Step-by-step explanation:
A line equals 180 so subtract 180-80 to get your answer.