Answer:
1
the equation (x-4)^2-17=8 has two solutions because it is in a quadratic form.
(x-4)^2-17=8
x²-8x+16-17-8=0
x²-8x-9=0
Doing middle term factorization
x²-9x+x-9=0
x(x-9)+1(x-9)=0
(x-9)(x+1)=0
either
x=9
x=9or
x=9orx=-1
2.
x^2+4x+3=0:
Doing middle term factorization
x²+3x+x+3=0
x(x+3)+1(x+3)=0
(x+3)(x+1)=0
either
x=-3
or
x=-1
Josh’s solution is incorrect because he missed x=-3.
3.
x^2-6x+7=0
By using quadratic equation formula:
Comparing above equation with ax²+bx+c=0
we get
a=1
b=-6
c=7
Now
we have
x=[tex] \frac{ - b ± \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
x=[tex] \frac{ 6± \sqrt{ {-6}^{2} - 4*1*7} }{2} [/tex]
x=[tex] \frac{ 6±2\sqrt{ 2}}{2} [/tex]
x=[tex] { 3±\sqrt{ 2}} [/tex]
Taking positive
x=[tex] { 3+\sqrt{ 2}} [/tex]
taking negative
x=[tex] { 3-\sqrt{ 2}} [/tex]
Which of the following
E values would form a right
triangle?
A. 4, 7, 11
B. 5, 12, 13
C. 5, 10, 15
D. 8, 9, 12
HELP PLEASE!!! I WILL MARK BRAINLY
Answer:
1.A. 2.A 3.N. 4.N 5.S
Step-by-step explanation:
The Grocery Store is located 4.8 miles west of the School. The Airport is located 6.4 miles south of the School. What is the length of a straight line between the Grocery Store and the Airport? Show all work.
Answer:
8 miles
Step-by-step explanation:
Using the Pythagorean Theorum, we put in c=√4.8^2+6.4^2, which when we solve, will be equal to 8.
(Sorry if this is incorrect)
PLEASE HELP WILL MARK BRAINLY NO LINKS ONLY GET ONE AWNSER FOR ME SO NO LINKS OR FUNNY STUFF
Answer: I believe it's 6 5/8
Step-by-step explanation:
Find the solutions to the equation bellow
x2-9=0
Check all that apply
Answer:
D and E hope that helps
Step-by-step explanation:
I'm not 100% about it though
I hope you can see the question, but please help me!?!
Answer:
the third one
Step-by-step explanation: tell me if im wrong so i can fix it and your welcome if its right
Answer:
B.
Step-by-step explanation:
The second one
Whoever guesses my favorite color first gets brainliest
Answer:
purple :0
Step-by-step explanation:
trig please help, thanks
Answer:
63.5°
Step-by-step explanation:
sin x = 17/19
arcsin (17/19) = 63.5°
PLS HELP (they are not the same question)
Our products and services can vary by state, based on local laws and regulations. Please select your state to get the most accurate information about the products and services we offer near you.
Answer:6 48
Step-by-step explanation:
6 is for the first one, 48 for the second question
a group of 4 friends shares 2 packs of gum equally? there are 8 pieces of gum in each pack. which set of equations shows how many pieces of gum, g each friend recieves?
Raheem is considering two different layouts for a new garden. He needs to put a length of fence around whichever layout he chooses.
Answer: c
Step-by-step explanation: layout B needs about 2.3m more fencing.
Answer:
C
Step-by-step explanation:
A major car dealership has several stores in a big city. The owner wants to determine if there is a difference in the proportion of SUVs that are sold at stores A and B. The owner gathers the sales records for each store from the past year. A random sample of 55 receipts from store A shows that 30 of the sales were for SUVs. Another random sample of 60 receipts from store B shows that 42 of the sales were for SUVs. Assuming conditions for inference are met, what is the 99% confidence interval for the difference in proportions of sales that are SUVs
Answer:
confidence interval = ( -0.38 , 0.08 )
Step-by-step explanation:
Given data :
n1 = 55 , n2 = 60 ,
Let P1 ( proportion of SUV sales at store A ) = 30 / 55 = 0.55
P2 ( sample proportion of SUV sales at store B ) = 42/60 = 0.70
The Z-value at 99% confidence Interval = 2.58
Determine the 99% confidence interval for difference in proportion
applying the formula below
( P1 - P2 ) ± Z ( [tex]\sqrt{p1( 1-p1)/n1 + p2(1-p2)/n2}[/tex]
Input values above into equation
confidence interval = ( -0.38 , 0.08 )
what is the value of the expression
3.5+(1+4)x(6.5+1.5)
Answer: 43.5
Step-by-step explanation: 6.5+1.5 = 8 and 1+4 = 5, 8x5 = 40, 40+3.5 = 43.5
PEMDAS
What is the sale price of an item that is 10% off 14.50
Answer:
The final answer is 13.05
Step-by-step explanation:
14.50 x 0.9 = 13.05
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Answer:
13.05
Step-by-step explanation:
1. A 10-foot long ladder leans against a vertical wall such that its base is 4 feet
from the bottom of the wall. Determine, to the nearest tenth of a foot, how high,
h, the ladder reaches up the wall.
Answer:
9.2
Step-by-step explanation:
follow the equation for the hypotenuse of a right triangle.
a^2+b^2=c^2
4^2+b^2=10^2
16+b^2=100
b^2=100-16
b^2=84
b=9.2
Answer:
The answer is 9.2. Hope this helps.
Which number is NOT an integer?
A company sells artwork using a website. Information about the number of people that visited the website and the number of pieces of artwork purchased on a single day is listed below.
117 people did not purchase any artwork
24 people purchased one piece of artwork
9 people purchased more than one piece of artwork
Based on the data from that day, what is the probability that the next person who visits the website will purchase more than one piece of artwork
Answer: 3/50
Step-by-step explanation: add up 117 + 24 + 9 = 150
Then do 9 (the number of people who purchased more than one art work) (written as a fraction) over 150
Then simplify 9/150 to 3/50
Find the value of x and y of the equilateral triangle
Answer:
x = 12
y = 30
Step-by-step explanation:
We know:
All sides of equilateral triangle are equal:
= > 3 x + 8 = 4 x - 4
= > 8 + 4 = 4 x - 3 x
= > x = 12
Also, we know all angles of equilateral triangle is 60. And their sum is 180.
= > 2 y = 60
= > y = 30
Hence we get required answer!
2. Factor the quadratic expression completely: 3x2 - 4x + 21
a. (3x + 7)(x + 3)
b. (x-7)(3x – 3)
c. (x - 3)(3x - 7)
d. cannot be factored
Marking brainliest
What human right is based on race? Im doing a research essay and I will talk about how Georgie Floyd’s rights were violated but I don’t know what human right to use
Answer:
Human rights include the right to life and liberty, freedom from slavery and torture, freedom of opinion and expression, the right to work and education, and many more. Everyone is entitled to these rights, without discrimination.
Step-by-step explanation:
these are the 5 basic rights, most of them were taken for george floyd
hope this helped
Find the circumference of the circle using C = pi•D
Answer:
The correct answer is the third choice, 14 pi.
The choice you selected is wrong.
Circumference = πD
= diameter is 14, so its 14π
Answer this question to get marked as brainliest!!!!
Answer:
8
Step-by-step explanation:
anything raised to the power of 1 is itself
Find the value of x. Round your answer to the nearest tenth
(Will give brainiest)
Answer:
Its 67.9 but technically its 67.912 *hope this helps
Step-by-step explanation:
Right scalene triangle.
Sides: a = 66 b = 16 c = 67.912
Area: T = 528
Perimeter: p = 149.912
Semiperimeter: s = 74.956
Angle ∠ A = α = 76.373° = 76°22'23″ = 1.333 rad
Angle ∠ B = β = 13.627° = 13°37'37″ = 0.238 rad
Angle ∠ C = γ = 90° = 1.571 rad
Height: ha = 16
Height: hb = 66
Height: hc = 15.55
Median: ma = 36.674
Median: mb = 66.483
Median: mc = 33.956
Inradius: r = 7.044
Circumradius: R = 33.956
Vertex coordinates: A[67.912; 0] B[0; 0] C[64.142; 15.55]
Centroid: CG[44.018; 5.183]
Coordinates of the circumscribed circle: U[33.956; 0]
Coordinates of the inscribed circle: I[58.956; 7.044]
Exterior (or external, outer) angles of the triangle:
∠ A' = α' = 103.627° = 103°37'37″ = 1.333 rad
∠ B' = β' = 166.373° = 166°22'23″ = 0.238 rad
∠ C' = γ' = 90° = 1.571 rad
If 75% of a number is 300 and 20% of the same number is 80, find 95% of that number.
Answer:
380
Step-by-step explanation:
380/400 is 95%
Mike surveyed 4 newly hired police officers at the police station. Is this a random sample of the police officers at the police station?
Answer:
No
Step-by-step explanation:
This is not a random sample, because Mike only surveyed newly hired police officers.
A random sample would include a mix of different, randomly chosen police officers.
This sample only includes newly hired police officers, so it is not random.
The floor of a rectangular cage has a length 4 feet greater than its width, w. James
will increase both dimensions of the floor by 2 feet. Which equation represents the
new area, N, of the floor of the cage?
Answer:
x² + 8x + 12
Step-by-step explanation:
Area of a rectangle = length × width
Original dimensions:
Width = x
Length = x + 4
James will increase both dimensions of the floor by 2 feet
New dimensions:
Width = x + 2
Length = x + 4 + 2
= x + 6
Area of the new rectangle = length × width
= (x + 2) × (x + 6)
= x² + 6x + 2x + 12
= x² + 8x + 12
Equation which represents the
new area, N, of the floor of the cage = x² + 8x + 12
Please someone help me out here!! I Will Mark the right one Brainiest!!!!but hurry please
Answer:
Step 2
Step-by-step explanation:
During step 2, when dividing by 4 on both sides, Jessica got -16 / 4 was 4, which is not true. Basically she switched the sign when she shouldn't have.
write a linear function from the table.
Answer:
It would be A.
Step-by-step explanation:
Because, 5 x 0 is 0, 5 x 1 is 5, 5 x 2 is 10, and so on. Its really just counting in 10s.
Veronica bought a house. Her property taxes are $2080 per year and she also needs to
pay $800 per year for homeowner's insurance. What is the monthly amount she needs
to budget to her monthly mortgage payment?
A rectangle is placed around a semicircle as shown below. The width of the rectangle is 9 mm. Find the area of the shaded region. Use the value 3.14 for a, and do not round your answer. Be sure to include the correct unit in your answer.
PLEASE HELP
Answer:
Step-by-step explanation:
So since 9 is your radius because this is half a circle you want to use the equation piR^2 which is pi9^2, by solving this equation you end up with 254.34, which is the area of the semi-circle, now you need to find the area of the box but to solve this you would need the length and width and multiply them together to get the area of the box then subtract that by the area of the semi-circle and you get the shaded region