Answer:
[tex]f(x) = 2x + 1 \\ g(x) = {x}^{2} - 7 \\ (f + g)(x) = f(x) + g(x) \\ (f + g)(x) = (2x + 1) + ( {x}^{2} - 7) \\ (f + g)(x) = 2x + 1 + {x}^{2} - 7 \\ \boxed{ (f + g)(x) = {x}^{2} + 2x - 6}[/tex]
(f+g)(x) = x²+2x-6 is the right answer.What is the length of time
passed from 7:30 a.m. to 4:30 p.m.?
Answer:
9 hours
Step-by-step explanation:
12 minus 7.5 equals 4.5 add 4.5 from 4:30 you get 9
What is the parity of the sum of 80 consecutive natural numbers?
Answer:
The sum is even :p
Step-by-step explanation:
[tex]\frac{(80+1)80}{2}[/tex]=3240
3240 is even so the parity of the sum of 80 consecutive natural numbers is even!
Solve:
3x-5/2 +x+ 2x-3/3 = 5/6 - 3x/2
Answer:
x = 26/45
Step-by-step explanation:
Answer:
Given Question
Solve for x :
[tex]\rm :\longmapsto\:\dfrac{3x - 5}{2} + x + \dfrac{2x - 3}{3} = \dfrac{5}{6} - \dfrac{3x}{2} [/tex]
[tex] \green{\large\underline{\sf{Solution-}}}[/tex]
Given expression is
[tex]\rm :\longmapsto\:\dfrac{3x - 5}{2} + x + \dfrac{2x - 3}{3} = \dfrac{5}{6} - \dfrac{3x}{2} [/tex]
On taking LCM of (2 and 3 = 6) on LHS and Taking LCM of ( 2 and 6 = 6) on RHS, we get[tex]\rm :\longmapsto\:\dfrac{3(3x - 5) + 6x + 2(2x - 3)}{6} = \dfrac{5 - 9x}{6}[/tex]
[tex]\rm :\longmapsto\:9x - 15 + 6x + 4x - 6 = 5 - 9x[/tex]
[tex]\rm :\longmapsto\:(9x + 6x + 4x) - 15 - 6 = 5 - 9x[/tex]
[tex]\rm :\longmapsto\:19x - 21 = 5 - 9x[/tex]
[tex]\rm :\longmapsto\:19x + 9x = 5 + 21[/tex]
[tex]\rm :\longmapsto\:28x = 26[/tex]
[tex]\rm :\longmapsto\:x = \dfrac{26}{28} [/tex]
[tex]\bf\implies \:x = \dfrac{13}{14} [/tex]
VERIFICATIONConsider LHS
[tex]\rm :\longmapsto\:\dfrac{3x - 5}{2} + x + \dfrac{2x - 3}{3}[/tex]
On substituting the value of x, we get
[tex]\rm \: = \: \dfrac{\dfrac{39}{14} - 5}{2} + \dfrac{13}{14} + \dfrac{\dfrac{13}{7} - 3}{3}[/tex]
[tex]\rm \: = \: \dfrac{39- 70}{28} + \dfrac{13}{14} + \dfrac{13 - 21}{21}[/tex]
[tex]\rm \: = \: \dfrac{ - 31}{28} + \dfrac{13}{14} - \dfrac{8}{21}[/tex]
[tex]\rm \: = \: \dfrac{ - 31 + 26}{28} - \dfrac{8}{21}[/tex]
[tex]\rm \: = \: \dfrac{ -5}{28} - \dfrac{8}{21}[/tex]
[tex]\rm \: = \: \dfrac{ -15 - 32}{84}[/tex]
[tex]\rm \: = \: - \: \dfrac{47}{84}[/tex]
Consider RHS
[tex]\rm :\longmapsto\: \dfrac{5}{6} - \dfrac{3x}{2} [/tex]
On substituting the value of x, we get
[tex] \rm \: = \: \dfrac{5}{6} - \dfrac{39}{28} [/tex]
[tex] \rm \: = \: \dfrac{70 - 117}{84}[/tex]
[tex] \rm \: = \: - \dfrac{47}{84}[/tex]
Hence, LHS = RHS
Hence, Verified.
PLEASE ANSWER THIS thank you
Answer:
the first first one is it can be written as a fraction this is the decimel that doesn't repeat nor terminates
9 X 34
Distributive property
Answer:
306
Step-by-step explanation:
Answer:
the answer is 306 but the distributive property is not needed for this problem
What is 0.22 expressed as a percent?
A. 220%
B. 22%
C. 2.2%
D. 0.022%
b.
0.22(100)=22.0
we have to move the decimal point twice to the right to get a percent!
Answer:
Step-by-step explanation:
0.022 i think
What is the slope of the line whose equation is 2x+3y = -12?
Answer:
slope = - [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
2x + 3y = - 12 ( subtract 2x from both sides )
3y = - 2x - 12 ( divide all terms by 3 )
y = - [tex]\frac{2}{3}[/tex] x - 4 ← in slope- intercept form
with slope m = - [tex]\frac{2}{3}[/tex]
Please someone help best answer gets brainleist
Answer:
B
Step-by-step explanation:
it will never cross so it's b
A line is drawn so that it passes through the points (-6.0) and (19.45). What is the slope of the line? Round answer to the tenths place, if answer is a whole number than make the tenths place a zero to be counted correct
Answer:
The slope of the line is 1.8, or 1 4/5.
Step-by-step explanation:
This is right, trust me.
If B is the midpoint of AC and AC = 40, what is the measure of BC?
BC =
Answer:
BC = 20
Step-by-step explanation:
Since B is the midpoint of AC , then
AB = BC = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × 40 = 20
if 6/10 = 21/K what is K
You can cross multiply for this problem. So:
[tex]\frac{6}{10}=\frac{21}{K}\\6K=210\\K=35[/tex]
So K=35!
Hope this helps! :)
Which is the equation of the line, in point-slope form, that has a slope of 2 and
passes through the point (4, -7)?
y+7= 2(x-4)
y-7 = 2(x+4)
x-7 = 2(x-4)
y-4 = 2(x+7)
Answer: y+7 = 2(x-4)
Step-by-step explanation: Point slope form is y − y1 = m(x − x1), where m is the slope and (x1,y1) is one known point on the line. We are told that m= 2 and (4,-7). Therefore:
(y − (-7)) = 2(x − (4))
y+7 = 2(x-4)
Venn diagram, I don't understand it
please help, thanks
Answer:
do 36+23+33 out of 130 then you find the answer
10 points please help i will report any links Factor the following polynomials. a6- 16
Answer:
The answer to your problem is -10
which table represents a function
Answer:
The first one.
Step-by-step explanation:
Functions do not have repeating x values.
simplify (4.5 +2.5) · 11 – 162 + [92 – 10.5- (1.5+ 2 - 4)]/.
Answer:
-3
Step-by-step explanation:
please answer soon! and make sure to explain the steps!!
Answer:
15
Step-by-step explanation:
140x(3/4)=105 went to sport club
105x(1/7)=15 went to sport club and art club
what is the sum of the polynomials
What is 2000-345. will mark brainliest
Answer:
The Answer is 1655.
Thanks
Oigan me pueden resolver todo esto por favor,ya me lo están pidiendo y es para hoy porfavor!
Answer:
No ingles
Step-by-step explanation:
Sorry not sorry
Sally's Soda company makes $1.20 for each can of soda sold out of a machine. If the company makes $144, how many
cans of soda were sold?
Answer:
120 cans of soda were sold
Step-by-step explanation:
Sally's Soda company makes $1.20 for each can of soda sold out of a machine. If the company makes $144, how many
cans of soda were sold?
144 ÷ 1.20 = cans sold
144 ÷ 1.20 = 120
check your work
120 x 1.20 = 144
Solve x please!!!!!!!
Answer:
X=7
Step-by-step explanation:
These are supplementary angles. So they measure to 180º. 180º-95º=85º. 85º-10= 84º. 84º÷12x= 7.
Answer:
12x+1°+95°=180° (int angles)
12x+96°=180°
12x=180°-96°
=84°
x=84÷12
=7
Write the equation in slope intercept form. what are the slope and y-intercept? -3x - 10y = 7
please help me
no random links pls
The deer population is estimated to be 17,600 in northern
Illinois, but an actual count was 21,300. What is the percent
error?
The percentage error in the deer population is 17%
Actual population = 21300
Estimated population = 17600
The percentage error will be calculated by subtracting the estimated population from the actual population and then dividing the result. This will be:
= (Actual population - Estimated population) / Actual population × 100
= (21300 - 17600) / 21300 × 100
= 3700/21300 × 100
= 0.17 × 100
= 17%
Therefore, the percentage error in the deer population is 17%
Read related link on:
https://brainly.com/question/24988697
Which circuit is a series circuit? A. B. C. D.
Answer:
Since you did not provide any other information, I did some research and might have found the original question/ answer choices. If this is the correct question, then your answer should be D.)
Answer : The correct series circuit is, (D)
Explanation :
Parallel circuit : In this circuit, the potential across each of the components are same but the current flow in the circuit is equal to the sum of the current flow of each components.
That means in this circuit, the potential across the circuit is same but current is different.
where, 'I' is current.
Series circuit : In this circuit, the current flow each of the components are same but the potential across the circuit is equal to the sum of the potential of each components.
That means in this circuit, the current flow across the circuit is same but potential is different.
where, 'V' is potential.
From the given circuits, the circuit D is the series circuit. while the other circuits are parallel circuits.
Hence, the given circuit (D) is a type of series circuit.
MARK ME BRAINLIST
x ( 2y + 3 ) - 5xy + 7x
Answer:
Use the given functions to set up and simplify (2y+3)−5xy+7x
x =
(2y+3)−5xy+7x=−5xy+7x+2y+3
If 4 basketball game tickets and 5 football game tickets were purchased for $61.50, and if 5 basketball game tickets and 3 football game tickets were purchased for $55.75, what are the costs of basketball game tickets and football game tickets?
Answer:
basketball game tickets: $7.25;
football game tickets: $6.50
Step-by-step explanation:
Let B represent the cost of a basketball ticket and F represent the cost of a football ticket.
Amount for basketball ticket plus amount for football tickets equal the total cost.
4B + 5F = 61.50
5B + 3F = 55.75
Choose one equation in the system to solve for a variable.
Solve the first equation for F.
4B + 5F = 61.50
5F = −4B + 61.50 Subtract 4B from both sides.
F = −0.8B + 12.30 Divide both sides by 5.
Substitute the expression −0.8B + 12.30 for F in the other equation.
5B + 3F = 55.75
5B + 3(−0.8B + 12.30) = 55.75 Substitute.
5B − 2.4B + 36.90 = 55.75 Distribute.
2.6B + 36.90 = 55.75 Combine like terms.
2.6B = 18.85 Subtract 36.90 from both sides.
B = 7.25 Divide both sides by 2.6.
Substitute the B-value into one of the original equations to solve for F.
4B + 5F = 61.50
4(7.25) + 5F = 61.50 Substitute.
29 + 5F = 61.50 Multiply.
5F = 32.50 Subtract 29 from both sides.
F = 6.50 Divide both sides by 5.
The cost of a basketball ticket is $7.25, and the cost of a football ticket is $6.50.
The cost of basketball game tickets is $7.15 and football game ticket is $6.5
Let the cost of a basketball game ticket be x
Let the cost of football game ticket be y
If 4 basketball game tickets and 5 football game tickets were purchased for $61.50, hence;
4x + 5y = 61.50 ..................1
If 5 basketball game tickets and 3 football game tickets were purchased for $55.75, hence;
5x + 3y = 55.75 ...........................2
Solving 1 and 2 simultaneously
4x + 5y = 61.50 ..................1 * 3
5x + 3y = 55.75 ...........................2 * 5
_________________________________
12x + 15y = 184.5
25x + 15y = 278.75
Subtract
12x - 25x = 184.5 - 278.75
-13x = -94.25
x = 7.25
Substitute x = 7.25 into equation 1:
From 1:
4x + 5y = 61.50
4(7.25) + 5y = 61.50
29 + 5y = 61.50
5y = 61.50 -29
5y = 32.5
y = 32,5/5
y = 6.5
Hence the cost of basketball game tickets is $7.15 and football game ticket is $6.5
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In a scale drawing, 1 12 inches represents 12 miles. How many inches would you need to
represent 15 miles?
Please need this soon
please help me with this algebra question ! !
Answer:
D = x >/ -4
R = 2
Step-by-step explanation: