Answer:
There are two pairs of solutions: (2,7) and (-1,4)
Step-by-step explanation:
We will use substitution.
y = x^2 + 3
y = x +5
Since the second equation is equal to y, replace y in the first equation with the second equation.
y = x^2 + 3
x + 5 = x^2 + 3
Rearrange so that one side is equal to 0.
5 - 3 = x^2 - x
2 = x^2 - x
0 = x^2 - x - 2
You may use quadratic formula or any form of factoring to find the zeros (x values that make the equation equal to 0).
a = 1, b = -1, c = -2
Zeros = [tex]\frac{-b + \sqrt{b^{2}-4ac } }{2a}[/tex] and [tex]\frac{-b - \sqrt{b^{2}-4ac } }{2a}[/tex]
Zeros = 2 and -1
Now that you have your x values, plug them into the equations to find their corresponding y values.
y = x^2 + 3
y = (2)^2 + 3
y = 7
Pair #1: (2,7)
y = x^2 + 3
y = (-1)^2 + 3
y = 4
Pair #2: (-1,4)
Therefore, there are two pairs of solutions: (2,7) and (-1,4).
What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (2, −1)? y = Negative one-thirdx − One-third y = Negative one-thirdx − Five-thirds y = 3x − 3 y = 3x − 7
Answer:
D, y = 3x − 7
Step-by-step explanation:
Edge 2020, mark as brainliest plz
Answer:
The Answer is D.
Step-by-step explanation:
What is the slope of the line from the data shown in the table below? It’s question 9 by the way.
Answer:
Its b
Step-by-step explanation:
It is going up by 10
What is the answer
Ps I need the answers quick
Answer:
30%
Step-by-step explanation:
first it's on sale for half off
then u have a coupon for 20%
50%+20%=70%
100%-70%=30%
Hello sam hhehehe .dk ;
Answer:
hello
Step-by-step explanation:
Side -side -angles
Angles-side-angels
Angle -angle -side
Angle-angle-angel
Side-angel-side
Side-side-side
Hypotenuse-leg
I need help
Answer:
watch vedio
Step-by-step explanation:
gsinssuksbsi
how many solutions does 3x+5=7x-20 have?
Answer:
1
Step-by-step explanation:
hey there,
< 3x-7x = -20-5
-4x = -25
x = [tex]\frac{25}{4}[/tex]
This isn't a square root or anything like that, so you would really only have 1 answer. I'm not sure what your teacher's referring to, though, but maybe they want decimals/mixed fractions?
But I would just put 1 if I were you. >
Hope this helped! Feel free to ask anything else.
Write an algebraic rule to describe the relationship in the table.
Answer:
um idrk lol but I LIKE UR CUT G!!!!
find the values of x, y, and z
81
91
99
101
180
The Pythagorean Therum
Answer:
The Pythagorean theorem is an equation to find the hypotenuse of a tirangle, this equation is c=a2+b2
Step-by-step explanation:
May I have brainliest please? :)
If Helena starts school at 8:00am and must spend 45 minutes in each of her 6 classes, with two 30 minute breaks, at what time will she be finished her classes?
Answer:
1:30 pm
Step-by-step explanation:
45 x 6 (6 classes and 45 min per class) = 270
30 x 2 (2 breaks and 30 min per break) = 60
270 + 60 (Add time together) = 330
330 / 60 (Only 60 minutes in an hour) = 5 1/2
8 + 5 1/2 (Add starting time and at school time together) = 13 1/2
13 1/2 = 1:30 pm (Calculate to actual time)
Pinning as branliest for best explained answer ::
4x + 3y = 0
5y + 53 = 11x
solve : substitution method
Answer:
sol:x=(5y+53)/11
value of x in 4x+3y=0
4×(5y+53)/11+3y=0
(20y+212+33y)/11=0
53y+212=0/11
y=-212/53
y=-4
now
value of x
4x+3y=0
4x+3×-4=0
4x=12
x=12/4
x=4
by solving both we get,
Filipa practiced her trumpet today for 0.3 hours. What is the fraction equivalent to 0.3?
Answer:
3/10 I hope this helps
Step-by-step explanation:
Taylor plans to borrow $4,500 from the bank to purchase a used vehicle. If he borrows the money at a rate of 4% interest for 2 years, what is the total amount he will have to pay back to the bank?
Answer:
$4867.2
Step-by-step explanation:
PERSEVERE Find the values of x and y,
y² = 8y - 15 (alternate angles are equal)
y² - 8y + 15 = 0
(y - 5)(y - 3) = 0
y = 5 or 3
x + 8y - 15 = 180 (angles in a straight line add up to 180)
when y = 5
x + 40 - 15 = 180
x = 155°
when y = 3
x + 24 - 15 = 180
x = 171°
Chase was given a box of assorted chocolates for his birthday. Each night, Chase treated himself to some chocolates. There were originally 18 chocolates in the box and after 4 nights, there were 6 chocolates remaining in the box. Write an equation for
C
,
C, in terms of
t
,
t, representing the number of chocolates remaining in the box
t
t days after Chase's birthday.
The number of chocolates remaining in the box after Chase birthday can be represented by the equation 18 - 4t = 6
Number if chocolates in the box = 18
Number of nights = 4
Remaining chocolates in the box = 6
Based on the information given, the number of chocolates remaining in the box after Chase birthday can be represented by the equation 18 - 4t = 6.
To get the number of chocolates that he takes each night will be:
18 - 4t = 6
Collect like terms
4t = 18 - 6
4t = 12
t = 12/4
t = 3
He takes 3 chocolates every night.
Read related link on:
https://brainly.com/question/24444008
Gloria pays her insurance three times each year. The first payment is 50% of the annual
premium, and each of the next two payments is 25% of the annual premium. If the annual premium is
$1024, how much is each payment?
Answer:
First payment (50%) would be 512$
The next two payments would be 32$ each
Explanation:
.5(1024)= 512
.25(512)=128
.25(128)= 32
1. An auto shop has 98 cans of oil at the
beginning of the day. 12 hours later,
there are 10 cans remaining. How
many were sold? Which variable is most Important.
Answer:
88 cans were sold, the most important variable is how much you started with and how much you ended with
Step-by-step explanation:
88 cans were sold because 98-10=88, and the most important variable is how much you started and ended with because the question asks how much were sold and you can't know that without knowing the start amount and end amount which is the 2 variables I used to get 88 in the equation (98-10)
The Equation is 98-10=88
Olivia reads 2/5 of her book on Monday and on Tuesday she reads 1/6 of what is remaining and then on Wednesday she reads the final 35 pages. So how many pages are in the book
Answer:
Step-by-step explanation:
Here's what we know:
1/6 + 2/5 + x = 1 (the fractions read plus the 60 pages (currently an unknown fraction) makes one whole book)
First we need a common denominator. LCD is 30:
5/30 + 12/30 + x = 1
18/30 + x = 1
Subtract:
x = 30/30 - 18/30
x = 12/30
Now we have an equivalency. 60 pages out of the whole book is equal to 12/30. Or:
60/y = 12/30
Cross multiply:
60 * 30 = 12y
Divide both sides by 12:
60 * 30 / 12 = y
Factor out a 6:
10 * 30 / 2 = y
Factor out 2:
10 * 15 = y
150 = y
There are 150 pages in the book.
try this!!!!!!!
Can someone help me with these problems
Answer:
a.2
b.2
c.3x
a.3(x+2)
b.-(2-x)
c.3x-2
Answer:
a.3x+6=3 (x+2)
b.x-2=-(2-x)
15x-10/5=3x-2
I'll mark you brainiest if you help me write a correct expression
Please answer for me. Will make you brainiest
Answer:
.
Step-by-step explanation:
I tried to solve this but I don't get it maybe use another app for it bc it looks hard lolz
A box question, very hard, please help
Answer:
the X box one
Step-by-step explanation:
X>moon>star>heart>circle
Use inverse operations to solve the expression. Enter your answer in
simplest form. y/-9 = 1/18
Answer:
mutiply everything by 18
-2y=1
y=-1/2
1/2 + 1/3 hElP!!!!!!!
BRAINLEIST AND 5 STARS The function gives the number of people, in millions, who own a smartphone, years after the year 2000.
What does each equation tell us about smartphone ownership?
P(17) = 2, 320
At Emily's summer camp, there are
6 counselors for every 40 girls. How many
counselors should the camp have for 100
girls?
Answer:
15
Step-by-step explanation:
3 counselors for every 20 girls
Answer:
15 counselors
Step-by-step explanation:
The ratio of counselors to girls is 6:40. Set this as a proportion:
[tex]\frac{6}{40}[/tex]=[tex]\frac{x}{100}[/tex]
Cross multiply to solve: 6×100=40x
600=40x
x=15
To satisfy the ratio, there needs to be 15 counselors for 100 girls.
What is the answer for x?
Answer:
x = 15
Step-by-step explanation:
7x + 5x = 180 (because parallelograms are 360 degrees)
add like terms
12x = 180
divide 12 from both sides
[x = 15]
Graph the line that represents the equation pls
Clare knows that Priya has a bunch of nickels and dimes in her pocket and 2 points
that the total amount is $1.25. Write an equation that describes the
relationship between the number of dimes and the number of nickels in
Priya's pocket. Let x represent the number of nickels and y represent the
number of dimes.
Answer:
5x + 10y = 125
Step-by-step explanation:
Let :
Number of nickel = x
Number of dime = y
Nickel = 5 cent
Dime = 10 cent
Total value = $1.25
Total value should be converted to cent since both dime and nickel are both in cent
= $1.25 * 100 = 125 cents
Therefore,
5x + 10y = 125 cents
What is the difference between a histogram and a bar graph?
a A histogram presents information in horizontal bars, while a bar graph presents information in
vertical bars
b. A histogram deals with data which displays a normal distribution, while a bar graph deals with
data in any distribution
c. There is no difference. The two terms are synonymous.
d. A histogram deals with continuous data in ordered columns, while a bar graph deals with
discrete data in separate columns
Answer:
d.
A histogram deals with continuous data in ordered columns, while a bar graph deals with discrete data in separate columns.
Step-by-step explanation: