Answers
Answer:
(- 2, 1 ) and (1, 4 )
Step-by-step explanation:
Given the 2 equations
y = - x² + 5 → (1)
- x + y = 3 → (2)
Rearrange (2) expressing y in terms of x by adding x to both sides
y = x + 3 → (3)
Substitute y = x + 3 into (1)
x + 3 = - x² + 5 ( subtract - x² + 5 from both sides )
x² + x - 2 = 0 ← in standard form
(x + 2)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 1 = 0 ⇒ x = 1
Substitute these values into (3) for corresponding values of y
x = - 2 : y = - 2 + 3 = 1 ⇒ (- 2, 1 )
x = 1 : y = 1 + 3 = 4 ⇒ (1, 4 )
Step-by-step explanation:
its a false equasion x € R
Related Questions
6 Which is NOT a function?
A y – x = 6
B y = 2x
C x = -2
D y + x = 12
Answers
Answer:
C) x = -2
Step-by-step explanation:
x = -2 is a vertical line with intersects the x-axis at -2; vertical lines are not functions
find the missing side 3 and 4.
Answers
Answer:
3. [tex]5\sqrt{3} \\[/tex] m
4. 5 m
Step-by-step explanation:
Just use Pythagorean theorem
Convert to a mixed number and simplify: 83/6
6
83
Answers
Answer:
13 5/6
Step-by-step explanation:
83/6 = ?
6 can go into 83, only 13 times. Which would make 83/6 turn into:
13 5/6
Hopefully this helps :3 sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
One hundred nautical miles equals about 185 kilometers. To the nearest kilometer, how far in kilometers is 140 nautical miles?
25,900 km
185 km
76 km
259 km
Answers
Answer:
259 km
Step-by-step explanation:
Butterfly method 100/185=140/???
185*140=25900
divide by 100
=295
Order from least to greatest.
3/5
8/10
1/2
6/10
2/5
Answers
Answer:
1/2 2/5 3/5 6/10 8/10
Step-by-step explanation:
Answer:
2/5, 1/2, 3/5, 6/10, 8/10
Step-by-step explanation:
2/5 = 0.4
1/2 = 0.5
3/5 = 0.6
6/10 = 0.6
8/10 = 0.8
What is the equation for the nth term of geometric sequence 32,48,72
Answers
Answer:
[tex]\bold{a_n =32\left(\frac32\right)^{n-1}}[/tex]
Step-by-step explanation:
[tex]a_1=32\\a_2=48\\a_3=72\\\\\dfrac{a_2}{a_1}=\dfrac{48}{32}=\dfrac32\\\\ \dfrac{a_3}{a_2}=\dfrac{72}{48}=\dfrac32\\\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac32=r[/tex]
Therefore the formula:
[tex]a_n=a_1\cdot q^{n-1}\\\\a_n =32\left(\frac32\right)^{n-1}[/tex]
Find the volume of the
rectangular prism.
2 cm
8 cm
5 cm
V = [?] cm3
Answers
The volume of a rectangular prism is 80 cm³.
The dimensions of a rectangular prism are length=8 cm, breadth=5 cm and height=2 cm.
What is the formula to find the volume of a rectangular prism?The formula to find the volume of a rectangular prism is l×b×h.
Now, the volume of a rectangular prism=8×5×2=80 cm³.
Therefore, the volume of a rectangular prism is 80 cm³.
To learn more about a rectangular prism visit:
https://brainly.com/question/21308574.
#SPJ2
A trader bought 12 shirts for $150 altogether. He sold 11 of them for $20 each and one for $10.
Work out his overall percentage profit or loss,
Answers
Answer:
53%
Step-by-step explananation:
how much did he sell them for?
11*20 = 220
220+10 = 230
so he got a total of 230 off of buying 150
percent is difference of original
(230-150)/150
80/150
about 53%
I think this is right
in a school the number of girls exceeds the number of boys by 15%. Find the ratio of the numbers of boys to girls?
Answers
Answer:
2 : 3 is the correct answer
Step-by-step explanation:
happy to help :)
The length of a rectangle is 6 cm longer than its width.
The area of the rectangle is 135 cm².
What is the width of the rectangle?
Enter your answer in the box.
Answers
Answer:
bro answer is 9
Step-by-step explanation:
i took test
Find mZKLM.
L
M
K
Answer: m KLM
Answers
HELPPP ME PLEASE!!!
(don’t answer if you don’t know or just for points bc i’ll report)
Answers
Answer:
The last one
Step-by-step explanation:
2 please help. i will give brainlies and 50 points. if you use my points without an answer i will have your account deleted and i will report you.
Answers
Answer: Area: 5808 Primiter: 308
Answer:
Answer: A-Area: 5808 Primiter: 308
B-Area is needed
Step-by-step explanation:
i need help on a equation −4a5⋅6a5
Answers
Solve for the variable:
0.15a + 28.1 = 50
a = ?
Answers
Answer:
a = 146
Step-by-step explanation:
0 . 1 5 + 2 8 . 1 = 5 0
3 / 2 0 + 2 8 . 1 = 5 0
3 /2 0 = 2 1 . 9
o is the centre of the circle if ab equals 6 units oc perpendicular to ab with m on ab, and mc equal one unit find the length of om
Answers
Please help quickly!
Answers
Answer:
-8
Step-by-step explanation:
y=(2^2)-12
y=4-12
y= -8
y-30≥32 lol i need help again
Answers
Answer:
y ≥ 62
Step-by-step explanation:
Give Me Brainllest plz T - T
Tamu ran 30 minutes and burned 170 calories. PART A: Which equations can be used to find the average number of calories, c, burned per minute?
Answers
Answer:
170 divided by 30 or calories divided by minutes
Step-by-step explanation:
the answer could be either but they both mean the same thing just in different words
HELP ALMOST CLASS TIME
Answers
Answer:
B
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
witch fraction is equivalent to 4/20
Answers
Answer:
2/10
Step-by-step explanation:
smart 'v'
Answer:
2/10, 1/5, 8/40
Step-by-step explanation:
please mark as brainliest
ok so divide both by 4
and 2 and go on
Please help links=report and if correct I’ll mark you brainiest
Answers
Answer:
A is the correct answer.
Hope this helps [tex]\mathtt{: )}[/tex]
wright this without exponents
-2u^5*6u^3
Answers
Answer:
-12u^8
Step-by-step explanation:
What is the measure for angle CBD
PLSSS HELPP!!!!
Answers
The measure of the angle CBD = 180° - 30° = 150°.
Please help with this
Answers
Answer:
1, 2, 3, 6, 9, 18, 27, 54
Step-by-step explanation:
Name a tangent.
HELPPP
Answers
Answer:
SUT
Step-by-step explanation:
A tangent to a circle is a straight line which touches the circle at only one point. This point is called the point of tangency
At a hockey game a vendor sold a combined total of 102 sodas and hot dogs the number of hot dogs sold are 50 less than the number of sodas sold find the number of sodas sold and the number of hot dogs sold
Answers
Answer:
26 hotdogs
76 sodas
Step-by-step explanation:
x - 50 for hot dogs
x for sodas
(x-50) + x = 102
2x -50 = 102
2x = 152
x = 76
76-50 = 26 hotdogs
76 sodas
Mr. Stewart said that he would pay $750 for a bedroom suite. The suite Mrs. Stewart wants costs $250 less than twice as much money as Mr. Stewart will spend. How much does the suite cost that Mrs. Stewart wants?
Answers
Answer:
$1,250
Step-by-step explanation:
Mr. Stewart will spend $750
Mrs. Steward wants $250 less than twice that
750 * 2 is 1500
1500 - 250 is 1250, our final answer
brainliest? please and thank you.
A rancher’s herd of 250 sheep grazes over a 40-acre pasture. He would like to find out how many sheep are grazing on each acre of the pasture at any given time, so he has some images of the pasture taken by the state department of agriculture’s aerial photography division. Here are three samples of the images.
Sample 1: 4
Sample 2: 1
Sample 3: 9
How do the sample statistics compare to the population mean and standard deviation???
Answers
Answer:
sample 3:9
Step-by-step explanation:
hope this helps
pls mark me branliyest
Enter the median, lower quartile, and upper quartile of the scores of 11 students on the geography quiz.
82, 75, 93, 73, 71, 95, 89, 84, 72, 79, 84
Answers
Answer:
Median - 15.5
Lower Quartile - 13
Upper Quartile - 22.5
Steps to calculate Median:
1. Orchestrate your numbers in mathematical request.
2. Check the number of numbers you have.
3. On the off chance that you have an odd number, partition by 2 and gather together to get the situation of the middle number.
4. On the off chance that you have a considerably number, partition by 2. Go to the number around there and normal it with the number in the following higher situation to get the middle.
Steps to calculate Upper and Lower Quartile:
1. Request your informational index from most minimal to most elevated qualities.
2. Track down the middle. This is the second quartile Q2.
3. At Q2 split the arranged informational collection into equal parts.
4. The lower quartile Q1 is the middle of the lower half of the information.
5. The upper quartile Q3 is the middle of the upper portion of the information.