Answer:
14/12/2019 — However, we know that the line passes through two known points with x and y coordinates. ... The equation of a curve is y = x^2 + ax + b where a and b are integers. ... x2 (or second order polynomial) graphs are symmetrical about their turning point ... Therefore, we know that the line intercepts the x-axis at (-1,0) and (5,0).
Step-by-step explanation:
Answer:
a = -4, b = 3
Step-by-step explanation:
sorry, im a bit late but hoping to help others that need the answer.
when you complete the square for a quadratic, you r answer can come in the form (x+p)^2+q.
in this form, p is the opposite of the x coordinate.
and q is the same as the y coordinate.
to get p and q from this, we find the opposite of the x coordinate and use the y coordinate we are given, and plug them into this equation.
we get: (x-2)^2+1
lets complete the equation now.
(x-2)^2 = x^2 - 4x + 4, then add the one we left out = x^2 - 4x + 5.
now our equation is in the same format as y=x^2+ax+b so we can just pull out the A and B which gives us:
A = -4
B = 5
if i am wrong please feel free to correct me, ty.
What is the solution to the equation shown below?
2
32 +5=1
A) X= -6
B) X= 4
C) X= -4.5
D) X= 9
Answer:
Step-by-step explanation:
Here you go mate
Step 1
2/3x+5=1 Equation
Step 2
2/3x+5=1 Simplify
2/3x=-4
Step 3
2/3x=-4 Simplify
answer
x=-6
LONG ANSWER TYPE QUESTIONS
11. Sara borrowed 60,000 from a money lender at 15% rate of interest per annum. What is
the interest she paid after 4 years?
Katherine went to Hibbet sports and spent $125.50 on a pair of shoes and $12.25
on a t-shirt. If the sales tax is 8.25%, how much will she pay in all?
How much was the total purchase without tax?
How much was the tax?
How much will she pay in all, purchase plus tax
Answer:
1. $137.75
3. $149.15
Step-by-step explanation:
1.
12.25+125.50=137.75
3. 8.25% of 137.75= 11.4
137.75+11.4=149.15
Answer:
1. $137.75
3. $149.15
Step-by-step explanation:
what fraction is equivalent to .25
Answer:
2/8
Step-by-step explanation:
Which number has a 5 in the ten thousandths place?
0.20815
0.30256
0.40571
0.50098
Answer:
b
Step-by-step explanation:
Step-by-step explanation:
second option
0.30256
it's got 5 in ten thousandths place.
have a great day :)
(5x - 15) - (2x + 5) = 3x - 20
(2x + 5) - (5x - 15) = - 3x + 20
The sum is ___
Step 1: Simplify both sides of the equation.
5x−15−(2x+5)=3x−20
5x−15+−1(2x+5)=3x−20(Distribute the Negative Sign)
5x+−15+−1(2x)+(−1)(5)=3x−20
5x+−15+−2x+−5=3x−20
5x+−15+−2x+−5=3x+−20
(5x+−2x)+(−15+−5)=3x−20(Combine Like Terms)
3x+−20=3x−20
3x−20=3x−20
Step 2: Subtract 3x from both sides.
3x−20−3x=3x−20−3x
−20=−20
Step 3: Add 20 to both sides.
−20+20=−20+20
0=0
Answer:
All real numbers are solutions.
2x+5−(5x−15)=−3x+20
Answer:
All real numbers are solutions.
how much is 17% out of 100%
Answer:
17/100
Step-by-step explanation:
Answer:
the expression 17% means 17 parts out of 100. Therefore, 17% is equivalent to the common fraction and to the decimal fraction 0.17.
Step-by-step explanation:
3x - 4y = 6 and 5x + 8y = -1
Answer:
1. slope:3/4
y-int: (0,-3,2)
2. slope: -5/8
y-int: (0,-1/8)
Step-by-step explanation:
Answer:
Point Form: (1,−3/4)
Equation Form: x=1, y= −3/4
Step-by-step explanation:
Solve for x in the first equation.
x=2+4y/3
5x+8y=−1
Replace all occurrences of x with 2+4y/3 in each equation.
10+44y/3=−1
x=2+4y/3
Solve for y in the first equation.
y=−3/4
x=2+4y/3
Replace all occurrences of y with −3/4 in each equation.
x=1
y=−3/4
1/6 x 3/4
Pls ASAP
Brainpower to correct-est and fastest answer.
If you lie, I'll know
Could someone please help me with this?
Answer:
Both are 38°
Step-by-step explanation:
Is in attachment...
Solve the following equation. You must show or write down your steps to find the answer -3x - 5 = 16 *
Answer:
x=24
Step-by-step explanation:
You have to isolate the variable so you add 5 to both sides, then add 3 to both sides. Then you have x=24
Substitute teachers with Lexington School District get paid by the day, although subs with teaching credentials earn a different amount than subs without credentials. Yesterday, 3 non-credentialed subs and 2 credentialed subs taught in the district. That cost the district $368. Today, 11 non-credentialed subs and 7 credentialed subs taught, receiving $1,316 from the district. How much do subs get paid?
What is the joint relative frequency that a person surveyed likes classical
music and pop music? *
5 points
What Types of Music do you Like?
Classical
Yes
No
Total
Pop
Yes
No
82
42
124
15
61
76
Total
97
103
200
0.41
0.97
Ο Ο Ο Ο
0.76
0.82
Answer:???
Step-by-step explanation:
Susanna added 2 ×
1
100
to 204.197. What is the sum?
Answer:
204.217
Step-by-step explanation:
Thomas has two bags, one bag with 6 yellow and 5 red marbles, and one with 2 green and 4 blue marbles. If his friend Nick pulls one marble from each bag, what is the probability of him getting one red and one blue marble?
The probability of him getting one red marble from 5 red marbles in one bag and one blue marble from 4 blue marbles in the other bag is 4/11.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Number of marbles in first bag = 11
Yellow marbles = 6
Red marbles = 5
Number of marbles in the second bag = 6
Green marbles = 2
Blue marbles = 4
The probability of him getting one red and one blue marble.
= [tex]\frac{^5C_1}{^{11}C_1} \times\frac{^4C_1}{6^C_1}[/tex]
= 5/11 x 4/5
= 4/11
Thus,
The probability of him getting one red and one blue marble is 4/11.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ2
Find the slope of the line that contains the points (3, -4) and (-1, 5)
Answer:
m = -9/4
Step-by-step explanation:
Hope this helps!
Match each graph with its slope.
Answer:
(Method: rise/run)
1. 1/3
2. 3
3. 1
4. 2
I'm horrible at this please help:((((
Step-by-step explanation:
You can insert different values of x to find y
For example:
x = 4
Plug in x into the equation
y = -1/2(4) + 5
y = -2 + 5
y = 3
So your point will be (4, 3)
If you do 1 more like this, you can draw a line between them. Or you can use Desmos to graph the line.
Hope this helped you!!
On the blueprints for a building, 8 inches represents 28 feet. If the blueprints show a distance of 16 inches
between the two walls, how many feet separate the walls?
Answer:
56 feet
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
A rectangular region is removed from another rectangular region to create the shaded region shown below. Find the area of the shaded region.
Answer:
2772
Step-by-step explanation:
Robert gets a loan from his bank.
He agrees to borrow £6000 at a fixed annual simple interest rate of 7%.
He also agrees to pay the loan back over a 10 year period.
How much money in total would he have paid back in 10 years?
Answer:
£10,200
Step-by-step explanation:
Simple interest = principal × rate × time
Principal = £6000
Rate = 7% = 0.07
Time = 10 years
Simple interest = principal × rate × time
= £6000 × 0.07 × 10
= £4,200
Total = simple interest + principal
= £4,200 + £6,000
= £10,200
He would have to pay back a total of £10,200 in 10 years
answer the following table:)
find the area of a triangle with a base of 18 feet qnd a height of 7 feet
Answer:
63
Step-by-step explanation:
A= HxB÷2
7x18÷2=63
help pretty pleasee
Answer:
so you just put both equations together and do the equation like so hers an example
explanation: (7x-22)-(4x+5)= but if your looking for X
x=9
(Giving brainliest!!)
Draw a fraction model to solve this equation
3 ÷ 1/8
Here is an image if needed!:
Answer:
It is 24
Step-by-step explanation:
Use keep change flip, keep the 3 change the division to multiplication, and flip the 1/8 to 8/1 and 3 times 8/1 is 24
please help, choose the correct equation
Please help me on this question
Answer:
(g + 10) - 8
Step-by-step explanation:
Answer:
g+10=y-8
Step-by-step explanation:
Brainly plss?
This CD case is a rectangle that is 5.5” tall by 5.75” wide. What is the area of the CD case?
31.625
Step-by-step explanation:
Multiply height by width so
5.5(5.75) = 31.625
The area of the CD case will be [tex]31.625[/tex] squared inch .
What is area ?
Area is the quantity that expresses the extent of a region on the plane or on a curved surface.
Area [tex]= Length * Breadth[/tex]
We have,
A rectangle.
Length of rectangle [tex]=5.5"[/tex]
Breadth of rectangle [tex]=5.75"[/tex]
So,
The area of rectangle [tex]= Length * Breadth[/tex]
[tex]=5.5*5.75[/tex]
[tex]= 31.625[/tex] squared inch
So, the area of CD case is [tex]31.625[/tex] squared inch.
Hence, we can say that the area of the CD case will be [tex]31.625[/tex] squared inch .
To know more about area click here
https://brainly.com/question/20693059
#SPJ3
At what point do the lines y= 2x + 3 and y = 5x - 9 intersect?
Answer:
(4,11)
Step-by-step explanation:
y=2x+3
y=5x-9
the first equation is equal to the second equation so
2x+3=5x-9
put like terms together
2x-5x= -9-3
-3x= -12
divide both sides by -3
.•.x=4
now, use the value of x to find the value of y like this:
y=2x+3 (x=4)
y=2(4)+3
y=8+3
y=11
therefore, the two lines intersect at the point (4,11)
Leland swam from the dock east 26 meters. He turned and swam another 10 meters, as shown in the diagram below. 26 m Dock 10 m What is the value of x, the distance Leland swam to return to the dock?
Answer:
x=12
Step-by-step explanation:
Answer:
24m
Step-by-step explanation:
you can use khan academy to help you out on this kind of stuff