The sum of two numbers is 217. The difference between them is 43. Find the two numbers.
Answer:
The numbers are 87 and 130
Step-by-step explanation:
Call the numbers x and y[tex]x+y=217[/tex] [1][tex]y-x=43[/tex] [2]Rearrange [2] to make y the subject[tex]y=43+x[/tex] [3]Substitute [3] into [1][tex]x+(43+x)=217[/tex][tex]2x+43=217[/tex][tex]2x=174[/tex][tex]x=87[/tex] [4]Use [4] for [2][tex]y-87=43[/tex][tex]y=130[/tex]f(x) = x + 2 g(x) = 3x^2 - 5. find ( f-g )(x)
Step-by-step explanation:
(f o g)(x)
= f(3x² - 5)
= (3x² - 5) + 2
= 3x² - 3.
[tex]\text{Given that,}\\\\f(x) =x+2\\\\g(x) = 3x^2 -5\\\\\\(f-g)(x) =f(x) -g(x)\\\\~~~~~~~~~~~~~~=x+2 - 3x^2 +5\\\\~~~~~~~~~~~~~~=-3x^2 +x +7[/tex]
find the L.C.M of 4x3 - 9x, 10x2 - 15x
Answer:
20x³ -45x
Step-by-step explanation:
The least common multiple of two expressions is the product of their unique factors.
__
4x³ -9x = x(4x² -9) = x(2x -3)(2x +3) . . . . factors of 1st expression
10x² -15x = 5x(2x -3) . . . . . . . . . . . . . . . . factors of 2nd expression
The unique factors are 5, x, (2x -3), and (2x +3). Their product is ...
5(4x³ -9x) = 20x³ -45x . . . . least common multiple
What is the inverse relation of the function f(x) = -12 +4?
O y= x - 14
O y(x) = - +14
O y=-x+
O y= {c -
f(x)=7x+12
Put y in place of f(x).
y=7x+12
Switch x and y.
x=7y+12
Solve for y.
x-12=7y
(x-12)/7=y
Put in the f^-1(x) notation.
f^-1(x)=(x-12)/7
Зу – 15 = y +1
I need the answer
y=8
Solution:First, move the y's to the left:3y-y-15=1Now, add 15 to both sides:3y-y=1+15Combine Like Terms:2y=16Divide both sides by 2:y=8Hope it helps.
Do comment if you have any query.
Answer:
y = 8
Step-by-step explanation:
Given equation: Зу - 15 = y + 1
Subtract "y" both sides:
→ Зу - 15 = y + 1→ 3y - y - 15 = y - y + 1→ 2y - 15 = 1Add 15 both sides:
→ 2y - 15 = 1→ 2y - 15 + 15 = 1 + 15→ 2y = 16Divide 2 both sides:
→ 2y/2 = 16/2→ y = 8What percent of 96 is 367
Answer:
96 is what percent of 367? = 26.16
Step-by-step explanation:
please help I'll mark brainliest
Describe the end behavior for f (x) = x^2 − 4x + 6
Answer:
as x approaches ∞, y is positive
as x approaches -∞, y is positive
Step-by-Step Explanation:
you need to graph the equation and look at what happens
Look at the following solution of the equation x raised to the power of 6=64.
x raised to the power of 6=64
so, x raised to the power of 3=8
so, x=2
There is an error in this solution. Write a corrected version.
Answer:
Nothing wrong with the solution x = 2
Step-by-step explanation:
2^6 = 64
2^3= 8
Hence x = 2
Each side of a square is increased by 10%
By what percentage is the area increased?
Answer:
21%
Step-by-step explanation:
If it is correct pls mark me as brainliest and learn we
NEED ANSWERS NOW!!!
please help
Answer: Please send more, is that all??
Step-by-step explanation:
I need more clarification, what are you trying to answer?
For what value(s) of b will cause 6x^2+bx-7=0 to have two real number solutions
Answer:
B can be All real values.
Step-by-step explanation:
The discriminant = b^2 - 4*6*-7 > 0
b^2 + 168 > 0
b^2 > -168
All values of b will be > 0.
Calculator
A group of students is painting a background piece for the school play, What is the area of the part that is painted blue? Enter your answerint
40 ft
30 ft
5 ft
3 ft
2 ft
3 ft
20 ft
Answer:
479 ft^2
Step-by-step explanation:
Area of the bottom rectangle = 30 X 20 = 600 sq ft
then subtract the areas of the window and the door
600 - (5x3) - (2x3) = 579 ft^2
Then add the triangular top area
1/2 (20)(10) = 100
579 - 100 = 479 ft^2
Prospect Creek, Alaska, holds the U.S. record for the coldest temperature, -62.1C. What is the temperature in Fahrenheit
Answer:
i don't understand the last one?
Simplify: ( 3x + 4xy + 6y ) + ( 4y - 2x + 3xy )
Answer:
x + 7xy + 10y
Step-by-step explanation:
Remove parenthesis:
3x + 4xy + 6y + 4y - 2x + 3xy
Group like terms:
3x + 4xy + 6y + 4y - 2x + 3xy
x + 4xy + 6y + 4y + 3xy
x + 7xy + 6y + 4y
x + 7xy + 10y
hope this helps!
Marguerite can save 130 pictures on a DVD.How many pictures can be stored on 7 DVDS
Answer:
910 pictures can be stored on 7 DVDs.
Step-by-step explanation:
130 X 7 = 910.
What function equation is represented by the graph? f(x)= 3 exponent x+4 4 exponent x 5 4 exponent x +4 3 exponent x +5
Answer:
LAST OPTION
Step-by-step explanation:
F(X)
[tex]f(x) = {3}^{x} + 5[/tex]
is the required function
Hint:FOR finding these types of question just Substitute and check values with the options
Factor rs - 5s + 5r - 25 by grouping
Answer:
(s+5)(r-5)
Step-by-step explanation:
From the first 2 terms, we can factor s to get
rs - 5s = s(r-5).
Similarly, we can factor 5 form the last 2 terms to get
5r - 25 = 5(r-5).
The original expression then becomes
s(r-5) + 5(r-5).
From here, we can treat (r-5) as a single term and factor the rest to get
(s+5)(r-5),
and we are done.
What is eleven plus h squared in expression form?
Answer:
h²+11
Step-by-step explanation:
answer is h²+11
h squared= h²
h²+11
HELP
BRAINLEIST
AND 15 points!!!
Answer:
the product is 20 hope its helps :)
Step-by-step explanation:
Help With this question
Answer:
i think it is 523.6
Step-by-step explanation:
α=4/3πr3=4/3·π·53≈523.59878
Hope This Helps
6. In acertain school the following data was compiled from a survery a 80 students 40study physics 30study chemistry 25study neither physics nor chemistry .how many students study
physics and chemistry?
Answer:
40+30
70÷2
35
hope this helps
H
Write the decimal as a fraction.
0.5 = 11
[?]
Simplify your answer completely.
Step-by-step explanation:
The answer to Your Question in the image is 2/3
2/3=0.6_
Use the information to answer the question.
A rectangular prism has a volume of 768 cubic inches. The area of the base of the rectangular prism is 48 square inches.
What is the height of the rectangular prism? Enter the answer in the box.
Answer:
16 inches
Step-by-step explanation:
Took the test
Hope this helps <3
Please thank if i got it right <3
Need help with this asap please
The value of PN is 7.5 if the triangles KLJ and NPM are similar triangles.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
The triangles KLJ and NPM are similar triangles.
So the sides of triangle are proportional.
KL/JL = PN/PM
Substitute the values:
5/6 = PN/9
Apply cross multiplication:
45=6PN
Divide both sides by 6:
45/6= PN
7.5=PN
Hence, the value of PN is 7.5.
To learn more on similar triangles click:
https://brainly.com/question/29731302
#SPJ3
The most common ages of children that use the library are
Answer:
12-17
Step-by-step explanation:
this is right. trust (:
NO LINKS!!!! Please help me with this problem
Answers:
a) x+y = 70b) The graph is shown below. The lines intersect at (20, 50) meaning that she has 20 quarters and 50 dimes.========================================================
Explanation:
a)
x = number of quarters
y = number of dimes
x+y = number of dimes and quarters
x+y = 70 coins total
-----------
b)
Use a graphing tool like Desmos or Geogebra to plot each linear equation on the same xy grid. I'm using Geogebra to get what is shown below.
The red line 25x+10y = 1000 goes through (0,100) and (40,0)
The blue line x+y = 70 goes through (0,70) and (70,0)
The two lines intersect at (x,y) = (20,50)
This means x = 20 and y = 50 pair up together.
Kateri has 20 quarters and 50 dimes
20 quarters = 20*25 = 500 cents = 500/100 = $550 dimes = 50*10 = 500 cents = 500/100 = $5Total value = $5 + $5 = $10
Also note that 20 quarters + 50 dimes = 70 coins total
Both conditions have been confirmed.
What is the first step in which the student made an error?
o Step 1, because the student should have written a compound statement with "and"
o Step 2, because the student should have graphed the inequalities Y1 SX-4 andy, 51
o Step 3, because the values for x for which yn Sy2 also include values between 3 and 5
Step 4, because the solution is one continuous interval
The first step where the student made an error is in step 4 because the solution is one continuous interval.
What is r continuous interval?A function can be continuous in nature on an interval and this is said to be the time when the function is said to be seen at all point on that given interval and does not get any interruptions or breaks.
Note that in step 3, the values for x for which y₁ ≤ y₂ is x = 3 or x= 5. and in step 4 , the error is here when it state the solution is one continuous interval because there are more than one interval which is (∞, 3) ∪ (5, ∞)
Learn more about continuous interval from
https://brainly.com/question/11555700
Drag the following sentences into the appropriate categories
She said it was a
well opportunity,
but I am not sure !
am ready.
I am not feeling
well today, but
hopefully tomorrow
I will feel more
better.
The beach was
more beautiful than
the park.
There is a good
chance I will not be
able to run faster
than last year.
The comparative adverb is correct.
The comparative adverb is incorrect.
She said it was a well opportunity, but I am not sure ! am ready has the comparative adverb to be incorrect.
What is a comparative adverb ?A comparative adverb is known to be an adverb that is often used when a person want to make a comparison between one action of a verb with another.
The other part of the question are:
I am not feeling well today, but hopefully tomorrow I will feel more better have the comparative adverb to be correct.The beach was more beautiful than the park. This have the comparative adverb to be correct.There is a good chance I will not be able to run faster than last year. This have the comparative adverb to be correct..Conclusively, An example is: John ran fast, but Miracle came first because he ran faster than John.
Learn more about comparative adverb from
https://brainly.com/question/363915
Answer:
She said it was a well opportunity, but I am not sure I am ready. Incorect
I am not feeling well today, but hopefully tomorrow I will feel more better. Incorect
The beach was more beautiful than the park. Correct
There is a good chance I will not be able to run faster than last year. Correct
Step-by-step explanation:
I took the test
HELP ME PLS GIVE ME ALL OF THEM. IF U DO YOU ARE A LIFE SAVER *the thing u blocked with my pencil is my answers that I couldn’t erase*
Answer:
Step-by-step explanation: