Step-by-step explanation:
because we can also find out the value of x in second equation like this
3x=21
x=21/3
x=7
Answer:
We conclude that x = 7 must be true for the second equation because it will also satisfy the second equation.
Step-by-step explanation:
Given the first equation
3x-5 = 16solving the equation
3x-5 = 16
adding 5 to both sides
3x-5+5 = 16+5
3x = 21 ∵ 3x = 21 is the 2nd equation
divide bothe sides by 3
3x/3 = 21/3
x = 7
Please notice that when simplifying 3x-5 = 16, the moment we reach 3x=21, we can determine that it represents the same equation.
In other words, whatever the value of x we will get, it will satisfy both equations.
Therefore, we conclude that x = 7 must be true for the second equation because it will also satisfy the second equation.
Verification:
Consider the 2nd equation
3x = 21
Put x = 7
3(7) = 21
21 = 21
Thus, it has been validated that when we conclude that x = 7 must be true for the second equation because it will also satisfy the second equation.
select the correct answer consider these functions f(x)=3x-7 g(x)=X +1/x-1 what is the value of f(g(3))
Answer:
Me and my massive brain, among other massive things of mine, believe it to be -1
Step-by-step explanation:
The value of the function F(g(x) will be equal to (7 / 2).
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
Given functions are:-
f(x)=3x-7 g(x)= x +(1/x-1)The function F(g(x) is written as :-
F(g(x) = 3 [ x + ( 1 / ( x-1 )) -7 ]
F(g(x) = 3 [ (3 + (1/2) - 7 ]
F(g(x) = 3 (7 / 2 ) -7
F(g(x) = ( 21/2) - 7
F(g(x) = ( 21-14 ) ( 2 )
F(g(x) = ( 7/2 )
Therefore the value of the function F(g(x) will be equal to (7 / 2).
To know more about function follow
https://brainly.com/question/25638609
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math help pls!!
i have no clue how to do this
Answer:
I THINK it's A
Step-by-step explanation:
| 5t-1 |=6
Show all work
Answer:
t = 1.4
Step-by-step explanation:
If you multiply 5 and 1.4 together, you get 7. Then, you do 7 - 1, and you get 6.
The inverse operation symbol things don't matter if the answer you get inside the two vertical bars is positive.
Answer: t=1
Step-by-step explanation:
|5t-1 |=6
5t+1=6
5t=5
t=1
What is the multiplicative identity of -12/13
A.-13/12
B.1
C.0
D12/13
Answer:
The number '1' is called the 'multiplicative identity' of a number '-12/13' because it does not change the number '-12/13' after getting multiplied by it.
Therefore, option (B) is true.
Step-by-step explanation:
We know that when a number let say 'n' get multiplied by '1', it remains unchanged.
i.e.
n × 1 = n1 × n = nThe number '1' is called the 'multiplicative identity' of a number 'n' because it does not change the number 'n' after getting multiplied by it.
Given the number
-12/13
Multiply the number '-12/13' by '1'.
i.e.
-12/13 × 1 = -12/13
1 × -12/13 = -12/13
Thus, the number '1' is called the 'multiplicative identity' of a number '-12/13' because it does not change the number '-12/13' after getting multiplied by it.
Therefore, option (B) is true.
Declan wants to mail 28 drawings to his Grandma. If he can fit 3 drawings in each envelope, how many envelopes will he need to mail all the drawings
Answer:
10 envelopes
Step-by-step explanation:
What we know:
- There are 3 drawings for each envelope
- There are 28 drawings in total
To find out the number of envelopes Declan would need, we divide 28 by 3 (check the picture attached).
28÷3=9 R1
28 divided by 3 gives us 9 with a remainder of 1, which means if Declan had 9 envelopes, he would be able to fit 3 drawings in each with 1 drawing left over. He would need a 10th envelope to use for the last drawing.
Therefore, Declan would need 10 envelopes to mail all the drawings to his grandma.
I hope this helps! Happy holidays :)
Please help due in 15 min
Select the correct similarity statement
Answer:
what is the question and choices?
Step-by-step explanation:
then maybe I can help
what answee is it?? :))))
Step-by-step explanation:
The answer is C
We can easily eliminate B and D since Ms. Macdonald isn't starting with 3 rabbits.
We can also eliminate choice A, because 5 to the 3rd power isn't 15.
5 to the 3rd power is 125, therefore the choice is C
Gary Sanchez struck out 112 times in 350 at bats. What PERCENTAGE of his at-bats were strike outs?
Given :
Gary Sanchez struck out 112 times in 350 at bats.
To Find :
Percentage of his at-bats were strike outs.
Solution :
We know, percentage hits is given by :
[tex]Percentage = \dfrac{\text{Number of time bats were strike out}}{\text{Total number of bats}}\times 100 \ \%[/tex]
Putting all given values in above equation, we get :
[tex]Percentage = \dfrac{112}{350}\times 100\ \%\\\\Percentage = 32\ \%[/tex]
Hence, this is the required solution.
I dont understand ratios
im too
good luck
im lucky cat
What is the y-component of vector v?
O y=-3
Oy=-4
O y=-20
O y=4
Answer:it’s the second one
Step-by-step explanation:
B) y = –4
It is indeed correct on Edge
The area of Isaiah's bedroom is 13 1/3 square yards. His bed's area is 2 2/3 square yards. Find the unit rate and explain, in words, what it means in the context of this problem.
Answer:
5
Step-by-step explanation:
Area of bedroom = 13 1/3 square yards
Area of bed = 2 2/3 square yards
Unit Rate = Area of bedroom / Area of bed
Unit Rate = (40 / 3 ÷ 8/3)
Unit Rate = 5
2. Find m21.
39°
1
30°
860
Answer:
∠ 1 = 69°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ 1 is an exterior angle of the triangle, thus
∠ 1 = 39° + 30° = 69°
a group of biologists is surveying the mice population in a forest. the equation n=75^t gives the total number of mice,n, t years after the survey began. what does the number 3 mean in this situation.
1. the common difference
2. the total population
3. the common ratio
4. the slope
Complete question is;
A group of biologists is surveying the mice population in a forest. The equation n=75⋅3t gives the total number of mice, n, t years since the survey began.
what does the number 3 mean in this situation.
1. the common difference
2. the total population
3. the common ratio
4. the slope
Answer:
3 is the common ratio
Step-by-step explanation:
We are given that the equation; n = 75⋅3^(t) gives the total number of mice, n, t years since the survey began.
Normally, formula when calculating population growth takes an exponential function;
n = n_o(e^(rt))
Or in this our case, it can be written as;
n = n_o((e^(r))^(t))
Comparing this with n = 75⋅3^(t), we can see that e^(r) = 3
Where r is the growth rate.
e is exponential constant.
Thus, we can say that 3 is the common ratio
aight can you guys help, it’s a one-step equation and i’m smol brain, and can you give me a step-by-step cuz i forgot how to do it, thank youuuuu<3
Answer:
16
Step-by-step explanation:
The variable a minus 10 equals 6. If you substituted a for 16, and subtracted 10, you'd get 6. Substituting the rest of the numbers and subtracting 10 wouldn't give you 6.
What is the solution set of (x-2)(x-3) = 2?
O (1.4)
O (2, 3)
O [4,5)
Answer:
I think A but i'm not sure
Step-by-step explanation:
Write the expression in simpleist form PLZ WILL GIIVE BRAINLIEST
1 + x + 6x -6
1. 28x - 5
2. 24x - 5
3. 7x - 5
4. 7x - 6
Answer:
3. 7x-5
Step-by-step explanation:
x+ 6x will make it 7x then -6 plus 1 will make it a -5 so t will be 7x-5.
Given vectors u = ⟨–3, 2⟩ and v = ⟨2, 1⟩, what is the measure of the angle between the vectors? 7.1° 60.3° 119.7° 172.9°
Answer:
C) 119.7°
Step-by-step explanation:
got it right on edge :)
If 2 bushels of corn weigh 112 lb, how much do 8.5 bushels of corn weigh?
Answer:
476 lb
Step-by-step explanation:
112/ 2 = 56
8.5 times 56
The costs of cookies at store A shown in the graph. The cost y for x cookies at store B is represented by the equation y = 0.30x. Which of the following statements is true?
Answer:
H
Step-by-step explanation:
Gab is able to serve 9 serving of penne pasta to 16 people. How many servings does he have to make for a party of 80 people
which ordered pair is a solution for y=x+10
Answer:
Step-by-step explanation:
Do you have the selection of answers?
What is the value of a if a is equal to a×a×a=a+a+a
Answer:
a = ±sqrt(3)
Step-by-step explanation:
a×a×a=a+a+a
Simplifying each side
a^3 = 3a
Divide each side by a
a^3 /a = 3a/a
a^2 = 3
Take the square root of each side
sqrt(a^2) = ±sqrt(3)
a = ±sqrt(3)
Answer:
nope its not equal
a×a×a=a³, but a+a+a=3a
so, a³≠3a
Step-by-step explanation:
i hope this helps....can i have brainliest
MERRY CHRISTMAS!!!......ENJOY UR HOLIDAY!!!
: A coffee shop spends $408 for an order of 17 cases of paper cups. If the coffee shop adds 5 more cases of paper cups to the order, how much will the total cost be
Step-by-step explanation:
A case of paper cups costs $408 / 17 = $24.
5 more cases => 22 cases of paper cups total.
Hence the total cost will be 22 * $24 = $528.
Answer:
$528
Step-by-step explanation:
We find the unit rate of the cost per case.
$408 / 17 cases = $24/case
Each case costs $24.
Adding 5 cases to 17 cases, the order will be for 22 cases.
22 cases * $24/case = $528
Answer: $528
Rewrite the function by completing the square.
f(x) = x^2- 2x - 95
Answer:(x-1)^2 -96
Step-by-step explanation:
Not sure if this is correct but I included the workings out
In AWXY, X = 1.2 cm, ZX=45° and Y=108°. Find the length of w, to the nearest 10th
Answer:
The length of w is 0.8 cm
Step-by-step explanation:
In Δ WXY
x is the opposite side to ∠X
w is the opposite side to ∠W
y is the opposite side to ∠Y
∵ m∠X = 45°
∵ m∠Y = 108
∵ The sum of the measures of the interior angle of a triangle is 180°
∴ 45 + 108 + m∠W = 180
→ Add the like terms in the left side
∵ 153 + m∠W = 180
→ Subtract 153 from both sides
∴ m∠W = 27°
Now we can use the sine rule to find the length of w
∵ [tex]\frac{w}{sin(W)}[/tex] = [tex]\frac{x}{sin(X)}[/tex] = [tex]\frac{y}{sin(Y)}[/tex]
→ Use the first 2 ratios to find w
∵ x = 1.2 cm
∵ [tex]\frac{w}{sin(27)}[/tex] = [tex]\frac{1.2}{sin(45)}[/tex]
→ By using cross multiplication
∴ w × sin(45) = 1.2 × sin(27)
∴ w sin(45) = 1.2 sin(27)
→ Divide both sides by sin(45)
∴ w = 0.7704474263
→ Round it to the nearest tenth
∴ w = 0.8 cm
∴ The length of w is 0.8 cm
Solve the equation. Round the answer to the nearest tenth.
5*6^3n=20
Step-by-step explanation:
5×6'3n=20
30'3n=20
3n=20-30
3n/3= -10/3
n= -3
Help pleasseeee
If f(x)=3x^2-7x find f(-2)
Answer:
f(-2) = 26
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 3x² - 7x
f(-2) is x = -2
Step 2: Evaluate
Substitute in x: f(-2) = 3(-2)² - 7(-2)Exponents: f(-2) = 3(4) - 7(-2)Multiply: f(-2) = 12 + 14Add: f(-2) = 26What is the degree of the polynomial below? it would be 4 right? hi everyone tho :)
x^3 + 2x – 3x^4 + 5 + 3x^2
Answer:
4
highest power is 4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
First method: Multiply the equation for bouquet A by , and add it to the equation for bouquet C. Then multiply the equation for bouquet B by , and add it to the equation for bouquet C. Second method: Rewrite the equation for bouquet B by subtracting from both sides of the equation. Then divide both sides by , and substitute the expression for in the equations for bouquets A and C.
Answer:
looking at anwser now
Step-by-step explanation: