Answer:
See Below.
Step-by-step explanation:
We are given the two functions:
[tex]\displaystyle f(x) = x^2 + 5x \text{ and } g(x) = 4x - 7[/tex]
9)
We want to find:
[tex]f(x) + g(x)[/tex]
Substitute:
[tex]\displaystyle = (x^2 + 5x) + (4x - 7)[/tex]
And combine like terms. Hence:
[tex]f(x) + g(x) = x^2 + 9x - 7[/tex]
10)
We want to find:
[tex]f(x) - g(x)[/tex]
Substitute:
[tex]= (x^2 + 5x) - (4x - 7)[/tex]
Distribute:
[tex]= (x^2 + 5x) + (-4x +7)[/tex]
And combine like terms. Hence:
[tex]f(x) - g(x) = x^2 +x +7[/tex]
11)
We want to find:
[tex]\displaystyle f(x) \cdot g(x)[/tex]
Substitute:
[tex]\displaystyle = (x^2 + 5x)(4x-7)[/tex]
Expand:
[tex]\displaystyle = 4x(x^2 + 5x) - 7(x^2 + 5x) \\ \\ = (4x^3 + 20x^2) + (-7x^2 -35x) \\ \\ = 4x^3 + 13x^2 - 35x[/tex]
Hence:
[tex]\displaystyle f(x) \cdot g(x) = 4x^3 + 13x^2 - 35x[/tex]
12)
We want to find:
[tex]g(x) - f(x)[/tex]
Substitute:
[tex]= (4x -7) - (x^2 + 5x)[/tex]
Distribute:
[tex]= (4x-7) + (-x^2 - 5x)[/tex]
And combine like terms. Hence:
[tex]\displaystyle g(x) - f(x) = -x^2 -x -7[/tex]
7. Evaluate the following:
a. 41-81
b. 21-3| + 4(7)
c. 81-21 - 6
d. 51-41 + 21-61
a.-40
b.--280
c.54
d.30
Find x. PLEASE I NEED HELP PLS PLS PLS
Answer:
Is 57, I just did it on a paper, hope it helped
Step-by-step explanation:
100000 times 345040+567556
Answer:
34504567556
Step-by-step explanation:
calculator
PLEASE HELP!
Solve for $x$: $x = \frac{x}{6} + \frac{x}{12} + \frac{x}{7} + 5 + \frac{x}{2} + 4$
This is due today and is the last problem pleaseee
Answer:
9[tex]\frac{75}{84}[/tex]
get a common denominator between 6,12,7,2 = 84
Step-by-step explanation:
[tex]$x$: $x = \frac{x}{6} + \frac{x}{12} + \frac{x}{7} + 5 + \frac{x}{2} + 4$[/tex]
The solution is x = 84
The value of the equation is A = 84
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
x = ( x/6 ) + ( x/12 ) + ( x/7 ) + 5 + ( x/2 ) + 4 be equation (1)
On simplifying the equation , we get
x = [ ( x/6 ) + ( x/12 ) + ( x/7 ) + ( x/2 ) ] + 9
Now , on further simplification , we get
x = [ ( x/7 ) + ( x/2 ) ] + [ ( 2x + x ) / 12 ] + 9
x = ( 3x/12 ) + [ ( 2x + 7x ) / 14 ] + 9
x = ( 3x/12 ) + ( 9x/14 ) + 9
On simplifying the equation , we get
x = ( x/4 ) + ( 9x/14 ) + 9
x = [ ( 14x + 36x ) / 56 ] + 9
x = ( 50x / 56 ) + 9
Subtracting ( 50x/56 ) on both sides of the equation , we get
9 = x - ( 50x/56 )
9 = ( 56x - 50x ) / 56
6x/56 = 9
Multiply by 56 on both sides of the equation , we get
6x = 504
Divide by 6 on both sides of the equation , we get
x = 504/6
x = 84
Therefore , the value of x is 84
Hence , the equation is A = 84
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solve for x
-2^2(-5x+10)=100
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
Hi there!
[tex]-2^2(-5x+10)=100[/tex]
Solve -2^2:
[tex]-4(-5x+10)=100[/tex]
Divide both sides by -4:
[tex]\displaystyle \frac{ -4(-5x+10)}{-4}=\frac{100}{-4} \\\\-5x+10=-25[/tex]
Subtract 10 from both sides:
[tex]-5x+10-10=-25-10\\-5x=-35[/tex]
Divide both sides by -5:
[tex]\displaystyle \frac{-5x}{-5} = \frac{-35}{-5} \\\\x=7[/tex]
Therefore, x = 7.
I hope this helps!
I’m very confused lol
Answer:
OPTION A.
Step-by-step explanation:
Put in simple terms
You're asked to Make "h" the subject.
p=0.7(rh + b)
divide through by 0.7
p/0.7 = rh + b
Rearranging
rh + b = p/0.7
rh = p/0.7 – b
divide through by "r"
h = (p/0.7 – b)÷ r.
Option A is your answer.
Notice that they look similar but you gotta see the difference.
The parenthesis covers all that's being divided by r
HELPPP PLEASEEEE WILL GIVE BRAINLIEST
42 feet.
Step-by-step explanation:
I think that it is 42 but don't know
Can someone help me im struggling
[tex]\small\tt\red{Question : 2x + 3(5x - 7) = 47 } \\ \\ \small\tt\orange{solution : - } \\ \\ \small\tt\blue{2x + 3(15x - 7) = 47} \\ \\ \small\tt\blue{2x + 15 - 21 = 47} \\ \\ \small\tt\blue{17 = 47 + 21} \\ \\ \small\tt\blue{17x = 68} \\ \\\small\tt\blue{x = \cancel \frac{68}{17} } \\ \\\\\small\tt\green{\boxed{x = 4 \: \: is \: your \: answer}} \\ \\ \\\small\tt\pink{\boxed{\boxed{hope \: it \: help \: you \: dear}}}[/tex]
Solve the following system by using substitute
x - 4y = 28
7y - 6x = - 15
Answer:
y = -9
x = -8
Step-by-step explanation:
x = 28 + 4y
7y - 6(28 + 4y) = -15
7y - 168 - 24y = - 15 ---> *distribute the -6, not positive 6*
-17y = 153
y = -9
x = 28 + 4(-9)
x = -8
8 less than the product of a number and 4 is 20
Answer:
This word phrase into a equation is
4x -8 = 20
Which of the following are factors of 11?
A/1
B/11
C/4
D/5
E/0
F/22
Answer:
B, F
Chow,...!
The screen size of a tablet is determined by the length of the diagonal of the rectangular screen. The 9.7-inch iPad
Air comes in a 4:3 format, which means that the ratio of the length to width of the rectangular screen is 4:3. What is
the area of the iPad's screen?
Using area of a rectangle, it is found that the area of the iPad's screen is of 45.2 square inches.
---------------------
The area of a rectangle of length l and width w is given by:
[tex]A = lw[/tex]
---------------------
The diagonal of a rectangle is the hypotenuse of a right triangle, in which the sides are the length and the width.
---------------------
The first step before finding the area is finding the length and the width.The ratio of length to width is 4:3, thus, [tex]w = x, l = \frac{4x}{3}[/tex]The diagonal, which is the hypotenuse of a right triangle in which w and l are the sides, is 9.7, and thus, applying the Pythagorean Theorem:[tex]x^2 + (\frac{4x}{3})^2 = (9.7)^2[/tex]
[tex]x^2 + \frac{16x^2}{9} = 94.09[/tex]
Multiplying everything by 9:
[tex]9x^2 + 16x^2 = 846.81[/tex]
[tex]25x^2 = 846.81[/tex]
[tex]x^2 = \frac{846.81}{25}[/tex]
[tex]x = \sqrt{\frac{846.81}{25}}[/tex]
[tex]x = 5.82[/tex]
---------------------
The width is of [tex]w = 5.82[/tex]The length is of [tex]l = \frac{4}{3}(5.82) = 7.76[/tex]Thus, the area is:[tex]A = lw = 7.76(5.82) = 45.2[/tex]
The area of the iPad's screen is of 45.2 square inches.
A similar problem is given at https://brainly.com/question/10489198
I’m not really sure how to do this
Answer:
im sorry about that bro
Step-by-step explanation:
im not smart as well
Evaluate the expression 3(7 + 4)^2 − 14 ÷ 7
-An explanation on how to find the answer would be amazing!
3 3/4 + 8/5 ÷ 2 2/3
step by step please
67+38 (mod5)
pls can someone help me with this question
Answer:
67 + 38(mod5)
= 67 + 38 =105÷5 (mod5)
= 21 reminder 0 ( mod 5)
Since while handling modes or finites the reminder is always considered therefore;
67 + 38 = 0 ( mod 5)
Fulton bus company would charge $500 plus $2.50 per miles that the bus would be driven
Which of the following is a flat surface that extends infinitely, has length and width, but does not have depth?
Angle
Circle
Plane
Segment
Select the function that is modeled by the graph.
A. y = 1/2x + 3
B. y = 1/2x - 3
C. y = - 1/2x + 3
D. y = - 1/2x - 3
Answer:
B is the answerrrrrrrrrr
Answer:
B
Step-by-step explanation:
The y-intercept is at -3 and the slope which is 2/4 simplified to 1/2x is going in a positive direction
The Garcia family has two cars. Last week, the first car consumed 30 gallons of gas and the second consumed 25 gallons of gas. The two cars drove a combined total of 1,250 miles, and the sum of their fuel efficiencies was 45 miles per gallon. What was the fuel efficiency of each of the cars last week?
Answer:
25 and 20 milies/gallons
Step-by-step explanation:
Let the fuell efficientcy of the first and the second car be f and s in gallons/miles.
Then the distance traveled by car 1 is 30 f and the car 2 is 25 s.
Since we also know that 1250 is the total distance traveled then
30 f + 25 s = 1250 (1)
Moreover we know that the efficiency is 45 miles/gallon. Hence
f + s = 45
Multiply by 30 we have
30 f + 30 s = 1350 (2)
Subtract the (1) equation from (2) we have
5s = 100
s = 20
f + 20 =45
f = 25
So the efficiency of the first car is 25 miles/gallons while the second one is 20 miles/gallons.
Can someone help with this please?
[tex]7^2=7\cdot7=49\\\\8^2=8\cdot8=64\\\\\sqrt{49}<\sqrt{52}<\sqrt{64}\\\\\text{Answer}:52[/tex]
Answer:
Its 52
Step-by-step explanation:
the square root of 52 is 7.2
there's a crab on the ocean floor 60 ft below sea level and a bird 120 ft in the air how far apart are the crab and the bird
Answer:
180 feet
Step-by-step explanation:
|-60+120| is 180
Answer:
is it 180 feet apart if it is then here is the steps
Step-by-step explanation:
120+60 = 180
please mark as brainiest
I need help with #47 to #50 ASAP…. Please help me with it
Step-by-step explanation:
a triangular number n is the sum of all natural numbers <= n.
t1 = 1
t2 = 1+2 = 3
t3 = 1+2+3 = 6
t4 = 1+2+3+4 = 10
...
so,
tn = tn-1 + n
47.
1×8 + 1 = 9 is a square number.
3×8 + 1 = 25 is a square number
6×8 + 1 = 49 is a square number
10×8 + 1 = 81 is a square number
48.
1/3 = 0 remainder 1
3/3 = 1 remainder 0
6/3 = 2 remainder 0
10/3 = 3 remainder 1
15/3 = 5 remainder 0
21/3 = 7 remainder 0
28/3 = 9 remainder 1
so, there seems to be a pattern 1 0 0 1 0 0 1 0 0 1 ...
49.
1/4 = 0 remainder 1
4/4 = 1 remainder 0
9/4 = 2 remainder 1
16/4 = 4 remainder 0
25/4 = 6 remainder 1
36/4 = 9 remainder 0
49/4 = 12 remainder 1
so, there seems to be a pattern 1 0 1 0 1 0 1 0 1 0 1 ...
50.
polygonal numbers is the real name for this.
the formula for dimensions = 5 is
(3n² − n)/2
for dimensions = 6 it is
2n² - n
so, dimensions=5 (and therefore dividing also by 5) we get the remainders
1/5 = 0 remainder 1
5/5 = 1 remainder 0
12/5 = 2 remainder 2
22/5 = 4 remainder 2
35/5 = 7 remainder 0
51/5 = 10 remainder 1
70/5 = 14 remainder 0
92/5 = 18 remainder 2
117/5 = 23 remainder 2
145/5 = 29 remainder 0
here the pattern is 1 0 2 2 0 1 0 2 2 0 1 0 2 2 0 ...
dimensions=6 (and therefore dividing also by 6) we get the remainders
1/6 = 0 remainder 1
6/6 = 1 remainder 0
15/6 = 2 remainder 3
28/6 = 4 remainder 4
45/6 = 7 remainder 3
66/6 = 11 remainder 0
91/6 = 15 remainder 1
120/6 = 20 remainder 0
153/6 = 25 remainder 3
190/6 = 31 remainder 4
231/6 = 38 remainder 3
276/6 = 46 remainder 0
325/6 = 54 remainder 1
here the pattern is 1 0 3 4 3 0 1 0 3 4 3 0 1 0 3 4 3 0 ...
help me out
help me out
help me out
help me out
help me out
Answer:
-59049/1048576
Step-by-step explanation:
using indices law you just follow the steps
Round the fraction to the nearest whole number.
5/8
please help
Answer:
1
Step-by-step explanation:
so when you divide 5/8 you get 0.625 and rounding it of to the nearest whole number it will be 1.
hope this helps
Answer:
1
Step-by-step explanation:
(8/8) = 1 (4/8) = half (0/8) = 0
(5/8) = a bit more than half, so is closer to 1
5/8≈1
Honors algebra!! Plz help #22
Answer:
8
Step-by-step explanation:
12 times x (the first square) is equal to 16 times x-2 (the second square)
[tex]12x = 16(x-2)[/tex]
Distributed
[tex]12x = 16x-32[/tex]
Simplified (divided by 16)
[tex]0.75x = x-2[/tex]
Subtract x from both side of the equation
[tex]-0.25x = -2[/tex]
Both negatives cancel each other out
[tex]0.25x = 2[/tex]
0.25 times what equals 2,...
[tex]x = 8[/tex]
Hope it help,... and I'll see you in life,... well not really, but you get the idea,... Chow,...!
What is the answer to 15+(-18)=
Answer:
-3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
15+(-18)
15-18
NB: Negative plus positive is negative
-3
Therefore, the answer is -3.
A truck driver drives at a constant rate of 60 miles per hour while on the highway. Which equation represents the distance, d, in miles, the truck driver has driven as a function of time in hours, h?
A. h = 60d
B. d = 60h
C. h = 60 + d
D. d = 60 - h
Answer:
b
Step-by-step explanation:
please help if you can, it's due soon :)
Answer:
<SDQ
Step-by-step explanation:
Eg if a = b, b = c, then a = c
There are 3 consecutive integers. Four times the smallest integer is equal to six more than three times the largest integer. What is the smallest of the 3 integers
The smallest of the three consecutive integers be x,(x+1),(x+2) = 12, 13,14 is 12
Let's consider the number will be in form of x
Consecutive Integers:
we number or count items in a sequence, we use consecutive integers. In other words, consecutive integers are integers that follow each other in a sequence with a difference that is fixed.
the three consecutive integers be x,(x+1),(x+2)
As per the problem,
Four times the smallest integer is equal to six more than three times the largest integer
4x=3(x+2) +6
∴4x=3x+6 +6
∴4x−3x=6+6
x= 12
Smallest number = x= 12
middle number X+1 = 12+1 =13
Highest number = x+2 = 12+2 = 14
the three consecutive integers be x,(x+1),(x+2) = 12, 13,14
Learn more about the three consecutive integers: brainly.com/question/841485
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