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
what dose equal 8x3 it equals 24
Answers
Answer:
true
Step-by-step explanation:
3+3+3+3+3+3+3+3=24.
Mark me brainliest please ._.
Answer:
did u just answer ur own question
Step-by-step explanation:
Compose an expression that can model the first three terms of any arithmetic sequence in terms of just a and d. Type your answers in the most simplified form.
Answers
Answer:
First term: a
Second term: a+d
Third term:a+2d
Step-by-step explanation:
An expression that can model the first three terms of any arithmetic sequence in terms of just a and d is aₙ = a + (n - 1)d.
What is an arithmetic sequence?An ordered group of numbers with a shared difference between each succeeding term is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 8, 13, 18, and 23 is 5. An arithmetic progression is another name for an arithmetic sequence.
How to solve this problem?Let the a be the initial term of a sequence and d be the common difference, then the nth term of any arithmetic sequence can be written as aₙ = a + (n - 1)d.
If we want first three terms of any arithmetic sequence, then we have to put n = 1, 2, 3 in the above expression.
So, for n = 1, a₁ = a + (1 - 1)d = a + 0d = a
for n = 2, a₂ = a + (2 - 1)d = a + d
for n = 3, a₃ = a + (3 - 1)d = a + 2d
Therefore, an expression that can model the first three terms of any arithmetic sequence in terms of just a and d is aₙ = a + (n - 1)d.
Learn more about arithmetic sequences here -
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Please help! I’ll give brainliest
Answers
Answer:
D
Step-by-step explanation:
D
Liliana correctly answered 92% of the questions on a geography quiz. Lu answered 47 of 50 questions correctly. Who earned the higher score? Explain.
Answers
Answer:
Lu
Step-by-step explanation:
.....................m
0.051x40(0.5+0.01)x40 using distributive property
Answers
Answer:
41.616
Step-by-step explanation:
first to answer correclty gets brainelist! thx pls help:)
Answers
Answer:
Its C
Step-by-step explanation:
please help with this question.
Answers
Answer:
5 feet, 3 inches
Step-by-step explanation:
set up a proportion based on corresponding sides, then solve by cross-multiplying:
h/7 = 3/4
4h = 21
h = 21/4
h = 5 1/4 which is 5 feet, 3 inches
help pls geometry volume
Answers
The arrow on the spinner is spun once. What is the probability that the arrow will land on a section labeled with a number greater than 3?
Answers
Answer:
it’s 1/4
Step-by-step explanation:
a number is two more than another number in number form?
Answers
From the information in the word problem we are able to set up the following inequality:
3y + 2 - y = 12 | where x is the larger number of two numbers in a set (x, y)
We know this because the problem states that [x = 3y + 2] or 3 times the smaller number plus two.
We also know that x - y = 12.
So, we substitute x in [x - y = 12] with 3y + 2 that we found out above, and we get the following:
3y + 2 - y = 12
Now, we solve the inequality
3y + 2 - y = 12
-> subtract 2 from both sides :: 3y - y = 10
-> subtract y from 3y :: 2y = 10
-> divide both sides by 2 :: y = 5
So now we have y, the smaller number, which is equal to 5. Next, to find x we simply plug y=5 back in to either the value of x, [3y + 2], or the inequality of x - y = 12. I will show both:
x - y = 12
-> substitute y for 5 :: x - 5 = 12
-> add 5 to both sides :: x = 17
OR
3y + 2 = x
-> substitute y with 5 :: 3(5) + 2 = x
-> multiply 3, 5 :: 15 + 2 = x
-> add 15, 2 :: 17 = x
So there you have it:
x = 17 , y = 5
You can go back and use these values to check your answer and make sure they work with the word problem.
Remember to look for the setup to an inequality in the word problem. Anything that says BLANK times this number, or 4 less than that number, is trying to set you up with an inequality problem.
(just another form of the equation)
brainliest will be appreciated as well
A man buys a washing machine whose price VAT (value added Tax ) is Birr 175. lts VAT is charged at 15 % ,how much did the man actually pay?
Answers
9514 1404 393
Answer:
Birr 1341.67
Step-by-step explanation:
The tax is 15% of the price (p), so we have ...
0.15p = 175
p = 175/0.15 = 1166.67
When the tax is added, the total comes to ...
1166.67 +175 = 1341.67
The man actually paid Birr 1341.67.
Picture included write in the simplest form
Answers
It’s the fraction 2/27
A messenger earns 2640 per year and pays tax at the rate of 10k On a naira how much tax does he pay in the year
Answers
Answer:
264 naira
Step-by-step explanation:
Given that:
Amount earned per year = 2460
Rate of interest paid : 10k per naira earned
Tax paid by messenger per year :
100k = 1 naira
10k = (100/10) = 0.1 naira
Hence 0.1 naira is paid as tax on every naira earned
Total amount paid on 2640 Naira :
Amount paid per naira * total amount earned
(0.1 * 2640) = 264 naira
Parallelogram L M N O is shown. Angle N is (5 x) degrees and angle L is (3 x + 40) degrees. In parallelogram LMNO, what is the measure of angle M? 20° 60° 80° 100°
Answers
Answer:
80degrees
Step-by-step explanation:
Find the diagram attached
From the diagram, the opposite angle of the parallelogram are equal hence;
5x= 3x+40
5x - 3x = 40
2x = 40
x = 40/2
x = 20degrees
Also <M + <N = 180
<M + 5x = 180
<M + 5(20) = 180
<M + 100 = 180
<M = 180-100
<M = 80degrees
Hence the measure of angle M is 80degrees
Answer:
80
Step-by-step explanation:
did the test
Which fraction could be represented by point P
Answers
Answer:
D
Step-by-step explanation:
You know the second tick mark is one half, and for that you can conclude the third one as 3/4. 3/4=6/8. 1=8/8. therefore it is 7/8.
HELP PLEASE! What is the slope of the line shown?
Answers
Answer:
A. -4/11
Step-by-step explanation:
Slope formula: [tex]\frac{y^2 - y^1}{x^2 - x^1 }[/tex]
Using the two points substitute the coordinates into this formula
6-2 = 4
4 - 7 = -11
Put 4 over -11 because it is the y value
[tex]-\frac{4}{11}[/tex]
On a map, 1 inch equals 5 miles. Two cities are 7 inches apart on the map. What is the actual distance between the cities?
The actual distance between the cities is ___ miles.
Answers
Answer:
35
Hope this helps!
7 * 5 = 35
35 miles between the cities1 Jason writes 42(x - 35) + 18 on the board. What did Jason write?
A)
An example of the associative property
B)
An inequality
C)
An expression
D)
An equation
Answers
Answer:
C. an expression
Step-by-step explanation:
1) What is the value of x + 2 in this equation?
7(x + 2) = 77
2 + 2 =
Answers
7x+14=77
-14=-14
7x=63
_. _
7. 7
X=9
NEED HELP/WILL MAKE BRAINLY
Jorge needs to paint the circular tops of five identical tables. Each table has a circumference of about 12.6 feet. He has a 1-pint can of paint, which will cover about 70 square feet of surface area.
Which statement is true for this situation?
Group of answer choices
He will have enough paint to put two coats of paint on all of the tables.
He will have enough paint to put one coat of paint on only four of the tables.
He will have enough paint to put one coat of paint on all of the tables.
He will have enough paint to put one coat of paint on only three of the tables.
Answers
Answer: He will have enough paint to put one coat of paint on all of the tables.
The slope of any vertical line is?
Answers
Answer:
The slope of any vertical line is undefined.
Step-by-step explanation:
The slope of a line is the change in Y divided by the change in X. The slope of a horizontal line = 0 (not undefined). The slope of a vertical line is undefined, however. Hope this helps; have a great day!
A pediatrician records the age (in months) and the height (in inches) of a baby over time and creates a scatter plot. Using the scatter plot, the pediatrician determines that the model that can be used to predict the baby's height is y=1.3x+18, where y is the height of the baby and x is the age of the baby. What does the 18 in the equation tell us? Need help plz i will make you the brilliants
A
The baby grows 1.8 inches per year.
B
The baby weighs 18 pounds when born.
C
The baby was 18 inches when born.
D
The baby grows 18 inches per year.
Answers
Answer:
Your answer would be C
Step-by-step explanation:
18 inches was the height of the baby when they were born since it isn't y which would be the current height of the baby now in months that tells me months have passed which includes x is the age of the baby in months.
please please please help me do not get this
Answers
Answer:
4
Step-by-step explanation:
solve the triangle give the measure of x
Answers
help me please can someone explain
Answers
Answer:
Step-by-step explanation:
7x+4^3+5 just answer that ans that will givin u your answer
Which expressions have an estimated quotient of 200? Select all that apply.
A 734 ÷ 6
B 803 ÷ 10
C 1990 ÷ 9
D 5280 ÷ 48
E 9795 ÷ 51
Answers
Answer:
E
Hope it helps!
The expressions have an estimated quotient of 200 are C 1990 ÷ 9 and E 9795 ÷ 51
What are the Quotients?Quotients are the number that is obtained by dividing one number by another number. We can use the fact that division can be taken as multiplication but with the denominator's multiplicative inverse.
We have been given that expressions as
A 734 ÷ 6
= 367/2
= 133.5
B 803 ÷ 10
= 80.3
C 1990 ÷ 9
= 221.1
D 5280 ÷ 48
= 110
E 9795 ÷ 51
= 192.05
Hence, the expressions have an estimated quotient of 200 are C 1990 ÷ 9 and E 9795 ÷ 51
Learn more about the quotient;
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Which of the following would not be a line in solving the equation:
7x-8-5x = 52
12x = 60
12x = 44
12x - 8 = 52
x = 5
Answers
Answer:
Step-by-step explanation:
Let's actually solve the equation. By doing so we should readily see which of the given equatins are not part of the solution.
7x - 8 - 5x = 52 becomes 2x - 8 = 52 if we consolidate the x terms. Next, we consolidate the constant terms on the right, obtaining 2x = 60.
Then x = 30 is the solution.
12x = 60 would not be part of the solution.
12x = 44 would not either.
12x - 8 = 52 would not either.
x = 5 would not be part of the solution.
Again: The solution is x = 30.
The price of 1 kg of silver on 1st January 2010 was $607
By 1st January 2015, the price of 1 kg of silver had decreased by 9.4%
Work out the price of 1 kg of silver on 1st January 2015.
Give your answer correct to the nearest dollar
Answers
Answer:
550
Step-by-step explanation:
9.4/100 multiplied by 607 is 57
subtract this from 607 and the answer is 549.9, to the nearest dollar is 550
pls answer as soon as u can, giving brainliest pls no links :)
Answers
Answer:
35
Step-by-step explanation:
To find the figures area you must first find the area of the overall square and then subtract the area of the triangle.
7 x 6 = 42
(7 x 2)/2 = 7
42 - 7 = 35
find the area of the triangular prism
