Answer:
(0, 2 ) and (- [tex]\frac{4}{3}[/tex], [tex]\frac{2}{9}[/tex] )
Step-by-step explanation:
Given the 2 equations
2x² + 4x - y = - 2 → (1)
x² + y = 2 → (2)
subtract x² from both sides in (2)
y = 2 - x² → (3)
Substitute y = 2 - x² into (1)
2x² + 4x - (2 - x²) = - 2
2x² + 4x - 2 + x² = - 2
3x² + 4x - 2 = - 2 ( add 2 to both sides )
3x² + 4x = 0 ← in standard form
x(3x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x = 0
3x + 4 = 0 ⇒ 3x = - 4 ⇒ x = - [tex]\frac{4}{3}[/tex]
Substitute these values into (3) for corresponding values of y
x = 0 : y = 2 - 0² = 2 - 0 = 2 ⇒ (0, 2)
x = - [tex]\frac{4}{3}[/tex] : y = 2 - (- [tex]\frac{4}{3}[/tex] )² = 2 - [tex]\frac{16}{9}[/tex] = [tex]\frac{2}{9}[/tex] ⇒ ( - [tex]\frac{4}{3}[/tex], [tex]\frac{2}{9}[/tex] )
You go to the mall to make some purchases. You buy 3 dresses which cost $59.99 each and a pair of shoes that cost $75. What is the bill you will pay if the tax is 8%?
Find the value of x
?????
Answer:
2x+57°+x=180 ( angle sum property of triangle)
3x=123
x=41
Please help it It is in photo
Answer:
its the second i hope that helped
What value is a discontinuity of x^2+2x+3/x^2-x-12
Answer:x=0
Step-by-step explanation: maybe.....
What is the value of x?
45°
m
1(2x - 5)°
n
Answer:
x = 70
Step-by-step explanation:
The 2 given angles are same- side interior angles and are supplementary, that is sum to 180° , then
45 + 2x - 5 = 180, that is
2x + 40 = 180 ( subtract 40 from both sides )
2x = 140 ( divide both sides by 2 )
x = 70
Mr. Morgan purchases gas for $3.24 per gallon. After leaving the gas station
he travels 208 miles on 8 gallons of gas. If the car uses gas at a constant rate,
which best describes the number of miles traveled per gallon of gas?
Free coinssss!!!!!!
Answer:
I think the answer is...
26
Step-by-step explanation:
thank you for my free coins
On average, Shawnee drinks 1/2 of a 6 ounce glass of water in 2/3 hour. How much water does she drink in an hour?
Answer:
1/2 of 6 = (1/2)*6 = 0.5*6 = 3
Shawnte drinks 3 ounces of water in 2/3 hrs.
3 oz = 2/3 hr
3*(3 oz) = 3*(2/3 hr) .... multiply both sides by 3
9 oz = 2 hrs
She drinks 9 ounces of water in 2 hrs
9/2 oz = 2/2 hrs .... divide both sides by 2
4.5 oz = 1 hr
She drinks 4.5 ounces of water in 1 hour.
Beth has had her car for a while and knows that it gets pretty good gas mileage On a recent business trip she used 16.25 gallons of gas and drove 471 miles. To the nearest tenth of a mile, what was her gas mileage? OA) 29 0 mpg OB) 30 0 mpg OC) 28.5 mpg OD) 270 mpg
Answer:
A) 29.0 mpg
you divide 471 by 16.25
answer now pls jk or else .... jk lol bt answer
Answer:
X is greater than or equal too 4
Step-by-step explanation:
The circle on 4 was not shaded so {x>4}
what is 3a + 2b - 6c
Answer:
Step-by-step explanation:
a = 3
b = 2
c = 12
3a+2b-6c
3(3)+2(2)-6(12)
-59?
someone help ASAP!!!! Please it would mean so much if you helped me!
Solve using the quadratic formula: -16x^2-4x + 382
Answer:
Step-by-step explanation:
[tex]x=\frac{- b+ \sqrt{b^{2}-4ac} }{2a}[/tex] [tex]x=\frac{- b- \sqrt{b^{2}-4ac} }{2a}[/tex]
x=-5, 4.7
Find the answer in simplest form.
3 1/8 * 1 4/5=
Answer:
31/8*14/5=10*17/20
Step-by-step explanation:
Answer:
225/40 which can simplify to 5 and 5/8
Step-by-step explanation: 3 and 1/8 turns into 25/8, 1 and 4/5 turns into 9/5. Multiply numerator by numerator then denominator by denominator to get 225/40, which simplifies out to 5 and 5/8.
Find the distance between 3,4 and 3,9
Answer:
The answer is 5.
Step-by-step explanation:
The distance formula is ↷
[tex] d\sqrt{(x_2 - x_1)^{2}+ (y_2 - y_1)^{2} } [/tex]
All we got to to do right now is plug in!
[tex] d = \sqrt{(x_2 - x_1)^{2}+ (y_2 - y_1)^{2} } \\ d = \sqrt{(3 - 3)^{2} + (9 - 4)^{2} } \\ d = \sqrt{(0)^{2} + (5)^{2} } \\ d = \sqrt{0 + 25} \\ d = \sqrt{25} \\ d = \sqrt{5} [/tex]
Therefore, the distance between 3,4 and 3,9 is 5.
3 + x = 18 please help!!!!!!!!!!
Answer:
X=15
all you have to do is subtract 3 from 18 to get x
Step-by-step explanation:
3 + x = 18
x=18-3
x=15
Hope this helps
Which statement about 2 + 3x is true?
O A. There are four terms in 2 + 3x.
O B. 2 + 3x is a product.
O C. 2 + 3x is a quotient.
D. 3 is the coefficient of x.
Jose was playing a basketball shooting game in the arcade. He made 15 shots and missed 25 shots. What is the percentage of shots Jose made in the basketball game?
help pls :(
Answer:
37.5/38(rounded)
Step-by-step explanation:
Answer:
37.5%
Step-by-step explanation:
15 + 25 = 40
15/40 = 37.5%
15
40 x 100% = 37.5%
Sorry if wrong! Plz mark brainiest if correct :D Have a great day Luv!
-Bee
6th grade math help me plzzz :))
Answer:
75%
Step-by-step explanation:
So i know that 5$ = 25%
So if i go up 3 times i get 15$ so that means you do 25% x 3 to get 75%
Which issue is among those addressed by Articles VII–VIII?
constitutional amendments
elections
separation of powers
taxation
Answer:
C
Step-by-step explanation:
Answer:
c <3
Step-by-step explanation:
have a blessed day <3
help!!!!!!!! i have no clue
Answer: Non-proportional
Step-by-step explanation:
The unit rate for the gas per gallon is $3.17. You want to find out if that is equal to the amount you would pay for 10 gallons at once. If you multiply the unit rate by ten, you would get 10 gallons = $31.70
So...you know that it is not proportional
Please somebody HELP!!!! 100 PTS!!!
log1/2 8 = -3 1/3 3
Answer:
-3
Step-by-step explanation:
[tex]log_{\frac{1}{2} }8=-log_{2}8=-log_{2} (2^{3})=-3[/tex]
Answer:
-3
Step-by-step explanation:
i forgot how to do the log thingy but the guy on top is also correct
What is the volume of the cuboid?
Answer:
180cm
Step-by-step explanation:
4cm*5cm*9cm=
Answer:
180
Step-by-step explanation:
Length=9cm
Height=5cm
Width=4cm
So,
9cm×5cm×4cm
=9cm×20cm
=180cm³
girls:3
boys:2
If there are 50 students in the chorus, how many are girls and how many are boys? How do you know?
Answer:
30 are girls, and 20 are boys because every 3 out of five students are girls, and every 2 out of 5 students are boys.
Answer:
Step-by-step explanation:
30 girls, 20 boys. So easy!!!
Kim's hair grows at the rate of 1 2 inch per month. How many months will it take for her hair to grow 12 inches?
Answer:
24 months
Step-by-step explanation:
The computation of the number of months taken to grow 12 inches is as followS:
Given that
It takes half inches per month
i.e.
0.5 inches ........... 1 month
12 inches .......... ?
So for 12 inches it would take
= 12 inches ÷ 0.5 inches × 1 month
= 24 months
The function f(x)= -x is shown on the graph.
Which statement is correct?
SI
4
The range of the graph is all real numbers less than
or equal to 0.
The domain of the graph is all real numbers less
than or equal to 0.
The domain and range of the graph are the same.
The range of the graph is all real numbers.
→
-5 4 -3 -2 -11
2
3
4
5
х
-2-
134
-4
Answer:
answer would be:
The range of the graph is all real number.
AND
The domain and range of the graph are the same.
Step-by-step explanation:
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! I DONT KNOW HOW TO GRAPH SO CAN YOU SHOW ME HOW TO DO IT PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLS DRAW IT
Answer:
(images to help with graph are below)
Step-by-step explanation:
okay! so once you get the hang of this, it is super super easy.
so the y-intercept is a point on that long line going up and down on the graph. it shows where the line intersects the middle!
so here it says that the y-intercept (y-int for short) is 2. so we will simply mark a little point on 2.
now the slope. the slope is -4. this can be written as -4/1. the -4 is on the top so i represents the y values. and the 1 is on the bottom so it represents the x values.
we know that when graphing, x goes from side to side and y goes up and down.
if an x value is positive you move it to the right (forwards), if it is negative you move it to the left (backwards). if a y value is positive you move it upwards, if it is negative you move it downwards. so we want to start graphing with our x.
The x value is 1 (because it is in the bottom of the slope! -4/1!). So we will move one point from the y-int (the point we marked).
Now for the y values. The y value is -4 (again, taken from the -4/1. the top number is the y value). FROM THE PLACE WE LEFT OFF FOR THE X VALUES (we left off at point (1,2) because we moved it one to the right!), we will move 4 points DOWN because it is negative (-4). Mark this place with a dot!
We should now have the points (0,2) and (1,-2) marked with a dot. draw a line through the 2 dots! this is ur finished graph. notice how the line intersects the middle on the y-intercept!! that will always happen.
Lastly, the equation! the formula for slope intercept form is y=mx+b
m is always your slope. b is your y-int. and y and x stay blank (for now. in the future you might use those spots). so simply fill in m and b!
the slope is -4. so m = -4
the y-int is 2. so b = 2
the finished equation should look like this:
y = -4x + 2
I hope this helped !!!
x2=120
solve for the exact variable answer
Answer:
60 ?
Step-by-step explanation:
60×2 = 120. .
when you have a x right behind a number that means multiply
1
Solve the following:
x 100
+3= 19
x=
Answer:
x=4/25
or x=1.028114
or x= 128
Step-by-step explanation:
Answer:x= 128
Step-by-step explanation:
Subtract 3 from both sides of the equation /8+3=19
x/8+3=19
/8+3−3=19−3
Simplify
x/8=16
Multiply all terms by the same value to eliminate fraction denominators
8x x/8=8x16
Simplify
X=128
7.
What is the slope of the line that contains the points (-1, 2) and (3, 3)?
Sorry for it being so long
Answer:
<1 = 97
<2 = 83
<7=87
<8 = 83
<11 = 112
<12 = 68
<13 = 112
<14 = 68
Step-by-step explanation:
Those are the only ones Ik sry