Answers
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).
Related Questions
what quadrant is 4,6 in?
Answers
Answer:
1st quadrant
Which system of equations has a solutions x=0,y=1?
Answers
Answer:
y+x=1
y-x=1
Step-by-step explanation:
Well If x is 0, its pretty straight forward.
1+0=1
1-0=1
lol hope this helps
Monday's low temperature was – 19" and its high was –7
Answers
Answer:
-19 degrees fahrenheit?? and -7 degrees celcius??
Step-by-step explanation:
b(n) = 4 – 6(n-1)
Find the 4th term in the sequence.
Answers
Answer:
B4= 4-6(4-1)
B4= 4-7(3)
B4= 4-18
B4= -14
DO NOT ANSWER IF YOU DO NOT KNOW
What is 1 way you can tell if two people are paying the same rate?
Answers
Answer:
By saying "paying the same rate"
I believe you want to know for example when two people are buying a product how to know if they are paying the same amount.
If so then there are a couple of factors at play.
First of all you need to identify the GDP of the product and the amount of tax/VAT which if calculated properly may help you tell if they are paying the same amount or not.
Can anyone please help me with this?
Answers
Answer:
m∠QPT = 110°
Step-by-step explanation:
1. We can use exterior angle theorem to find m∠QPT. Exterior Angle Theorem states that the exterior angle of a triangle is equal to the sum of the two remote angles in that same triangle.
This means that 6x + 20 = x + 40 + 4x - 5. Then, we can plug in the value of x into 6x + 20 and find the measure of ∠QPT.2. (Solving)
Step 1: Combine like terms.
[tex]6x + 20 = (x+4x)+(40-5)[/tex] [tex]6x + 20 = 5x + 35[/tex]Step 2: Subtract 20 from both sides.
[tex]6x + 20 - 20 = 5x + 35 - 20[/tex] [tex]6x = 5x +15[/tex]Step 3: Subtract 5x from both sides.
[tex]6x - 5x = 5x +15 - 5x[/tex] [tex]x = 15[/tex]Step 4: Check if solution is correct.
[tex]6(15)+20=(15)+40+4(15)-5[/tex] [tex]90 + 20 = 15 + 40 + 60 - 5[/tex] [tex]110 = 55 + 60 - 5[/tex] [tex]110 = 115 - 5[/tex] [tex]110 = 110[/tex]3. Now, let's plug in 15 for 6x + 20:
[tex]6(15)+20[/tex] [tex]90+20[/tex] [tex]110[/tex]Therefore, m∠QPT = 110°.
120
explain..
i hope this helps
write 7/571 as a mixed number!
Answers
Answer:
It is a proper fraction so it cannot be written as a mixed number.
Step-by-step explanation:
A little help? A set of numbers is given below. √72, 9.25, √83, 2, 8.7 Which list correctly orders the numbers from least to greatest?
Answers
Answer:
9.25, 83^1/2, 8.7, 72^1/2, 2 From greatest to least
2, 72^1/2, 8.7, 83^1/2, 9.25 from least to greatest
Step-by-step explanation:
Cuantos lugares sobran de acuerdo con el número de las mesas y de los invitados que te tienen?
Answers
Answer:la cantidad de invitados y la cantidad de mesas que no nos dio por favor agréguelo para que pueda ayudarlo :))
Step-by-step explanation:
Match the situation to the most appropriate graph #7
Answers
Fill in the missing number. 40% of = 800
Answers
Answer:
40% of 800 is 320
Step-by-step explanation:
0.40×800=320
40/100
Since, finding the fraction of a number is same as multiplying the fraction with the number, we have
40/100 of 800 = 40/100× 800
Therefore, the answer is
If you are using a calculator, simply enter 40÷100×800 which will give you as the answer.
Which of these functions have a domain of all real numbers?
Answers
Answer:
I think it's A. I may be wrong tho.
Answer: A. Functions f, g, and h
Step-by-step explanation: Plato answer
If six angles of a heptagon have measures of 122, 153, 168, 105, 162, and 87, what is the measure of the seventh angle?
Answers
Answer:
he seventh angles measure is 103
Step-by-step explanation:
Interior angles = (number of side in the polygon - 2) times 180.
So Heptagon interior angles = (7-2)(180) = 900
To find the missing angles add all the given angles together (122, 153, 168, 105, 162, and 87) = 797.
Now The measure of the seventh angles = total angles measure - the six given angles,
The seventh angles measure is 103
900 - 797 = 103
How many wholes are there in 7/3
Answers
Answer: there are 2 whole in 7/3
Step-by-step explanation: 7 divided by 3 is 2r1. 7/3 = 2 1/3
Question 6 of 25
What is sin 45°?
Answers
Answer:
B.
[tex] \frac{1}{ \sqrt{2} } [/tex]
Write the slope intercept form of the equation given the slope of 4 and the y intercept
of (0,-2)
Answers
Answer:
y=4x-2
Step-by-step explanation:
m=4
put what numbers you know into the equation for b.
-2=4(0)+b
-2=0+b
-2=b
now put that into the equation
y=4x-2
multiply ( 2 4/5 ) x ( -5 2/3 )
( -10 8/15 )
( -15 13/15 )
( 10 8/15 )
( 15 13/15 )
Answers
Answer:
Step-by-step explanation:
First turn the mixed fractions into improper fractions
--> ([tex]\frac{2*5+4}{5}[/tex]) × ([tex]\frac{-5*5+4}{3}[/tex])
[tex]\frac{14}{5}[/tex]×[tex]\frac{-17}{3}[/tex]
Then multiply. the answer becomes −15 13/15
8/13×2/6 in its simplest form
Answers
Answer:
[tex]\frac{9}{39}[/tex]
Step-by-step explanation:
Multiply the two denominators together and the two numerators:
[tex]\frac{8}{13} * \frac{2}{6} = \frac{8 * 2}{13 * 6}[/tex]
[tex]= \frac{16}{78}[/tex]
Divide both numbers by two to simplify:
[tex]\frac{18 / 2}{78 / 2} = \frac{9}{39}[/tex]
So the simplest form is:
[tex]\frac{9}{39}[/tex]
Hope this helps!
matt is planting grass in the yard. He has planted 1/8 of his seeds in 1/4 an hour. How long will it take him to plant all of his seeds.
Answers
Answer:
1/8 x 1/4=18
Step-by-step explanation:
I think it times
Tarek will spend at most $26 on gifts. So far, he has spent $14. What are the possible additional amounts he will spend?
Use c for the additional amount (in dollars) Tarek will spend.
Write your answer as an inequality solved for c.
Answers
Answer:
c<$12
Step-by-step explanation:
$26-$14>c
$12>c
c<$12
Answer:
14 + c ≤ 26
Step-by-step explanation:
Since Tarek can spend at most $26, then the symbol to represent this relationship/inequality is ≤ (less than or equal to). He's already spent $14, so 14 plus an additional amount should be less than or equal to 26!
Given f(x) = 5x + 32, find the following.pls don't send me a link to something and. pls pls help me this is due today and I'm still struggling with it
Answers
Answer:
thank you for points....
i need help to a can get an A
Answers
Answer:
See below:
Step-by-step explanation:
We can use the Pythagorean Theorum to find out the missing side because we have a 90 degree right angle and 2 sides already given to us.
The Pythagorean Theorem states that a^2 + b^2 = c^2
a in this case would be the shortest side,
b in this case would be the 2nd longest side,
c is the hypotenuse.
[tex]a^{2} + b^{2}= c^{2} \\a^{2} + 15^{2} = 17^{2}[/tex]
If we solve this, we get 8!
Cheers!
Find the 21st term of the arithmetic sequence an=9+3(n-4) a21=
Answers
Answer:
120
Step-by-step explanation:
Given arithmetic sequence
3,5,7,9,.........,21
The first term a=3 & a common difference d=5−3=7−5=⋯=2
If there are n number of terms in the above A.P. then last term l=21 will be the nth term given as
l=a+(n−1)d
21=3+(n−1)2
n=10
hence the sum of given arithmetic progression (A.P.) up to 10 terms is given general formula
Sn=n2(a+l)
S10=102(3+21)
=120
which of the following inequalities is graphed above?
Answers
Answer:
1st option
y=-3/8x+3
Find the unknown value in each proportion. Round to the nearest tenth if needed.
[tex] \frac{4}{5} [/tex]
[tex] \frac{4}{3} [/tex]
[tex] \frac{3}{7} [/tex]
[tex] \frac{13}{15} [/tex]
Answers
Answer:
4/5=16/20
4/3=4/3 or 1 1/3
3/7=0.42857
13/15=0.86666
Step-by-step explanation:
i dont know
if i did that right but your welcome
Find the least square number divisible by 5, 10, 15. (a) 100 (b) 625 (c) 900 (d) 225
Answers
Answer:-
900
Verification:-
[tex]\\ \sf\longmapsto \dfrac{900}{5}=180[/tex]
[tex]\\ \sf\longmapsto \dfrac{900}{10}=90[/tex]
[tex]\\ \sf\longmapsto \dfrac{900}{15}=6[/tex]
Answer:
a) 100
→ [tex]\frac{100}{5}[/tex] = 20
→ [tex]\frac{100}{10}[/tex] = 10
→ [tex]\frac{100}{15}[/tex] = 6⅔
100 is not divisible by 15
b) 625
→ [tex]\frac{625}{5}[/tex] = 125
→ [tex]\frac{625}{10}[/tex] = 62.5
→ [tex]\frac{625}{15}[/tex] = 41.6
625 is not divisible by 10 and 15.
c) 900
→ [tex]\frac{900}{5}[/tex] = 180
→ [tex]\frac{900}{10}[/tex] = 90
→ [tex]\frac{900}{15}[/tex] = 60
900 is the correct answer.
d) 225
→ [tex]\frac{225}{5}[/tex] = 45
→ [tex]\frac{225}{10}[/tex] = 22.5
→ [tex]\frac{225}{15}[/tex] = 15
225 is not divisible by 15
900 is the correct answer.
If tan A = | and tan B = Root3
evaluate
i) CosA cos B - sinA sinB
ii) sinA cosB+ cosA cosB
Answers
Answer:
i)
Step-by-step explanation:
Tan a = 1
Tan A = tan 45
A = 45.
Now,
Tan b = root 3
Tan b = tan 60.
B = 60.
Now ,
Cos a * cos b - sin A * sin B
= cos 45 * cos 60 - sin 45 * sin 60
= 1/root 2 * 1/2 - 1/root 2 * root 3 /2
= 1 /root 2 ( 1/2 - root 3 /2)
= 1/root 2 * 1 - root 3 /2
= 1 - root 3 / 2 root 2.
Due tomorrow please help
Answers
Answer:
The choice B.
[tex]x > 4 \\ x < - 1[/tex]
I hope I helped you^_^
Tìm câu trả lời trong file
Answers
Answer:
please mark me as brilliant and answer my questions
Will give brainliest if correct
Find the slope:
15. (4, 3); (-1, 10)
16. (3, -5); (2, -5)
17. (-5, 2); (-5, 3)
Answers
Answer:
15) Slope (m) = -7/5
16) Slope (m) = 0
17) Slope (m) = 1/0 (It's an undefined slope, in other words it's just a vertical line)
Step-by-step explanation:
Use this formula for each, to find slope⤵⤵⤵
[tex] \frac{y {2} - y1}{x2 - x1} [/tex]
15) ⤵
[tex] \frac{10 - 3}{ - 1 - 4} = \frac{7}{ - 5} = - \frac{7}{5} [/tex]
16) ⤵
[tex]\frac{ - 5 - ( - 5)} {2 - 3} = \frac{0}{ - 1} = 0[/tex]
17) ⤵
[tex] \frac{ 3 - 2}{ - 5 - ( - 5)} = \frac{1}{0} [/tex]
Hope this helps :)