Answer:
Step-by-step explanation:
27^x = 9÷(3^x)
So (3^3)^x = (3^2)÷(3^x)
So 3^3x = 3^(2-x)
Comparing powers on both sides,
3x = 2 - x
So, 4x = 2
So, x = 1/2
Given ( 27 ) ^ x = 9 / 3 ^x
⇒ ( 3 × 3 × 3 )^x = ( 3 × 3 ) / 3^x
⇒ ( 3 ³ )^x = 3² / 3^x
⇒ 3 ^ 3x × 3^x = 3² [ since ( a ^m)^n = a ^mn ]
⇒ 3^ (3x +x) = 3² [ since a^m × a^n = a ^m+n ]
⇒ 3^4x = 3²
⇒4x = 2 [ since If a ^m = a ^n then m = n ]
⇒ x = 2 / 4
∴ x = 1 / 2
I hope this helps you.
Complete the table.
f(x) = x - 1
х f(x)
3
4
5
6
Submit
Answer:
[tex]f(x) = x - 1 \\ f(3) = 3 - 1 = 2 \\ f(4) = 4 - 1 = 3 \\ f(5) = 5 - 1 = 4 \\ f(6) = 6 - 1 = 5[/tex]
Answer:
See attached photograph
Step-by-step explanation:
It is a simple matter of subtracting 1 from the given x value. For example, when x=3 we need to subtract 1 away from it to find f(x); so, f(x)=2.
Side note: the term "f(x)" means "y", so when plotting this information on a graph, you will use the f(x) column as your y value.
Multiply.Enter your answer in scientific notation.
(7x 10^*13)(3.39 x 10^*5)=
-5s-5x+5 s 50
solve this
-5s-5x+5s+50 Combine like terms
5x+50
Answer:
[tex]{ \tt{ - 5s - 5x + 5s = 50}} \\ \\ { \tt{ - 5x = 50}} \\ \\ _\hookrightarrow \: ^{ \rm{answer}} \\ { \tt{x = - 10}}[/tex]
h(x)=x2-x;h(5) find function
Answer:
h(5) = 20
Step-by-step explanation:
Assume that '2' is an exponent.
So the question for you should be:-
[tex] \displaystyle \large{h(x) = {x}^{2} - x}[/tex]
We want to find h(5); we substitute x = 5 in.
[tex] \displaystyle \large{h(x) = {5}^{2} - 5}[/tex]
5^2 is 5•5 = 25.
[tex] \displaystyle \large{h(x) = 25 - 5} \\ \displaystyle \large{h(x) = 20}[/tex]
Therefore, h(5) is 20.
1. Refer to the equation 2x − 4y = 12.
(a) Create a table of values for at least 4 points. Show your work on how you found the values for each coordinate pair, and validated the points were on the line.
Work for Point 1
Work for Point 2
Work for Point 3
Work for Point 4
Answer:
1a
2d
3I
4j
5b
6o
7q
Step-by-step explanation:
A student is running a 10-kilometer race. He runs 1 kilometer every 4 minutes. Select the function that describes his distance from the finish
minutes.
O f(x)=x+4
O f(x)=- tox+4
O f(x)=-*x+10
O f(x)=-*x+10
Please Real answers only, i beg you.
Can someone help pls I got confused
#1
x=46°(Opposite interior angles)#2
[tex]\\ \sf\longmapsto x+68=180\implies x=180-68=112°[/tex]
#3
x=111°(Corresponding interior angles)#4
x=37°(Opposite angles)#5
x=58°(Opposite interior angles)#6
x=175°(Corresponding interior angles)#7
x=25°(Corresponding interior angles)Answer:
Hey there,
(1) x = 46° ( Alternative angles are equal)
(2) x + 68 = 180 ( Interior angles are added up to 180° )
x = 112°
(3) x = 111° ( Corresponding angles are equal)
(4) x = 37° ( Opposite angles are equal )
(5) x = 58° ( Alternative angles are equal )
(6) x = 175° ( Corresponding angles are equal )
(7) x = 26° ( Corresponding angles are equal )
Hope this helps you
Let me know if you have any other questions :-)
An engineer earns $108 000 annually. Deductions
of $3 975 are made each month.
Calculate:
(a) his gross monthly salary
(b) his net monthly salary
Answer:
9,000
5,025
Step-by-step explanation:
Tell whether the ordered pair is a solution of the equation. 1. 2x + y^2 = 10; (3,2) 2. 1/2x - 4y = 4; (10,1/2) 3. x^2 + y^2 = 2; (0,1) Help me
Answer:
it is
Step-by-step explanation:
solve for x.
- 6 ≥ 10 - 8 x
Answer:
[tex]x \geqslant 2 \: \: \: \: or \: \: \: \: 2 \leqslant x \\ [/tex]
Step-by-step explanation:
[tex] - 6 \geqslant 10 - 8x \\ - 6 - 10 \geqslant - 8x \\ - 16x \geqslant - 8x \\ \frac{ - 16}{ - 8} \leqslant x \\ 2 \leqslant x[/tex]
Answer:
x ≥ 2
Step-by-step explanation:
-6 ≥ 10 - 8x
=> 8x - 6 ≥
=> 8x ≥ 10 + 6
=> 8x ≥ 16
=> x ≥ 16/8
=> x ≥ 2
Michael walks a group of dogs 3 miles every day. The graph below shows the relationship between the number of dogs in the group and the distance he walks the dogs each day
William is saving up to buy a new phone. He already has $23 and can save
an additional $8 per week using money from his after school job. How
much total money would William have after 10 weeks of saving? Also,
write an expression that represent the amount of money William have
saved in w weeks.
Step-by-step explanation:
current Amount of money 23
8x10=80
80+23=103
William will have 103$ after 10 weeks
MIK
chocolate
20%
Dark
chocolate
45%
White
chocolate
35%
A survey was conducted to determine people's chocolate preferences. The results are shown on the circle graph.
If 500 people were surveyed, how many more people preferred dark chocolate over milk chocolate?
-0)
A)115
B)125
C)135
D)150
Answer:
B; 125
Step-by-step explanation:
45% of 500 is 225. 20% of 500 is 100
225 - 100 = 125
Hope this helps :)
Answer:
B)125
Step-by-step explanation:
i'm just guessing since i don't know the answer. I hope it's right
Make my life easier and do 5-7 please.
Answer: 5. -64 6. 81 7. 144
Step-by-step explanation:
5. -4 x -4 = +16. +16 x -4 = -64
6. -3 x -3 = 9. 9 x -3 = -27. -27 x -3 = 81
7. kiera + 11 of her friends = 12 people total if 12 people each give fliers to 12 people, its 12 x 12 which is 144
Answer:
(-4)³; (-3)⁴; 12²Step-by-step explanation:
Q5-4 * - 4* - 4 = (-4)³Q6-3 * -3 * -3 * - 3 = (-3)⁴Q7Each 12 people gives 12 fliers to others. The number of people who gets fliers is:
12 * 12 = 12²[tex]x^{2} -25+24[/tex]
Answer:
(x-24)(x-1)
Step-by-step explanation:
common sense + practice
kinda did it in my head
Select the correct answer.
Consider these functions:
f(x) = x + 1
g(x)= 2/x
Which polynomial is equivalent to (fºg)(x)?
Answer:
C. 2/x +1
Step-by-step explanation:
YALL PLEASE HELP
NO ONE IS ANSWERING THIS DANG QUESTION -n-
The answer to this question is 0.16666666666
Plz I need help will rate 5 stars
Answer:
The answer is :
8
.......
There's a roughly linear relationship between the length of someone's femur (the long
leg-bone in your thigh) and their expected height. Within a certain population, this
relationship can be expressed using the formula h = 63.4 +2.41f, where h
represents the expected height in centimeters and f represents the length of the
femur in centimeters. What is the meaning of the f-value when h=123?
Answer:
24.73
Step-by-step explanation:
h=63.4+2.41f
h=123
123=63.4+2.41f
59.6=2.41f
24.73=f
If the value of h is 123. Then the length of the femur will be 24.73 centimeters.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The linear equation is given below.
h = 63.4 + 2.41 f
Where h represents the expected height in centimeters and f represents the length of the femur in centimeters.
If the value of h is 123. Then the f-value is given as,
123 = 63.4 + 2.41 f
2.41 f = 59.60
f = 24.73 cm
Assuming that the worth of h is 123. Then, at that point, the length of the femur will be 24.73 centimeters.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
Find the solution set of the following 1. (2x + 3)(2x – 1) = 10 2. (x + 8)^2 – 9x = 52 3. 15 + x(x + 2x) = 10 4. x(x – 4) = 32 5. 3x(x – 2) = 12x
Answer: 12x
Step-by-step explanation:
(
2
+
3
)
(
2
−
1
)
=
1
0
2
(
+
8
)
2
−
9
=
5
2
3
1
5
+
(
+
2
)
=
1
0
4
(
−
4
)
=
3
2
5
3
(
−
2
)
=
1
2
5 divided by 29.95 show work please
Answer:
5.99
Step-by-step explanation:
Do the division by doing:
0 5. 9 9 0
---------------------------------
5 | 2 9. 9 5 0
− 0
2 9
− 2 5
4 9
− 4 5
4 5
− 4 5
0 0
− 0
0
Evaluate the expression for the given values of the variables.
5p + 3q for p = 2 and q = −8
When p = 2 and q = −8, the expression is equal to...
Answer:
[tex] \hookrightarrow \: { \rm{5p + 3q}}[/tex]
p is 2q is -8[tex] = { \tt{5(2) + 3( - 8)}} \\ \\ = { \tt{10 - 24}} \\ \\ = { \underline{ \underline{ \tt{ \: \: - 14 \: \: }}}}[/tex]
please i need ASAPPPPP ILL GIVE BRAINLIEST!!!!
Hans baked 51 cookles. His family ate m of them. Using m, write an expression for the number of cookles that remained. + ローロ ロメロ
Answer:
[tex]51-m=n[/tex]
Step-by-step explanation:
M - Number of cookies his family ate
N - The remaining number of cookies left
The number T of teams that have participated in a robot-building competition for high-school students over a recent period of time x(in years) can be modeled by T(x) = 17.155x^2 + 193.68x + 235.81, 0 ≤ x ≤ 6.
After how many years is the number of teams greater than 1000? Justify your answer.
Solving the quadratic equation, it is found that the number of teams is greater than 1000 after 3.1 years.
The number of teams after x years is given by:
[tex]T(x) = 17.155x^2 + 193.68x + 235.81[/tex]
Initially, there are T(0) = 236 teams. If will 1000 be when T(x) = 1000, thus:
[tex]17.155x^2 + 193.68x + 235.81 = 1000[/tex]
[tex]17.155x^2 + 193.68x - 764.19 = 0[/tex]
Which has coefficients [tex]a = 17.155, b = 193.68, c = -764.19[/tex], then:
[tex]\Delta = (193.68)^2 - 4(17.155)(-764.19) = 89950.66[/tex]
[tex]x_{1} = \frac{-193.68 + \sqrt{89950.66}}{2(17.155)} = 3.1[/tex]
[tex]x_{2} = \frac{-193.68 - \sqrt{89950.66}}{2(17.155)} = -14.3[/tex]
We want the positive root, so the number of teams is greater than 1000 after 3.1 years.
A similar problem is given at https://brainly.com/question/10489198
12+15-3
Please show me the steps cuz im very confused. I hate math and ive a test for this tomorrow
Answer:
24
Step-by-step explanation:
Add 15 to 12 which is 27 then subtract 3 from 27 which gives you 24
Answer:
it's 24
Step-by-step explanation:
first add up the 12 and 15 that equals 27 now subtract 3 that's going to be 24
Write an equation with infinitely many solutions that has the Expression 3x+6 on the left side of the equal side. Demonstrate that your equation has infinitely many solutions.
Arithmetic sequence for a1=5
Answer:
a =5that is the answer ok
Solve each proportion; ( show your work )
1. 6/7 = ?/42
2. 12/8 = 30/?
Answer:
6/7 = 36/42
12/8 = 30/20
Step-by-step explanation:
(6*?) / (7*6) = ?/42
(6*6) / (7*6) = 36/42
(12*2.5) / (8*?) = 30/?
(12*2.5) / (8*2.5) = 30/20
Hope this helps!
What is the equation of the line parallel to y = -5x + 6 and passes through the point (6,-8)?
Answer:
y = -5x + 22 is the equation of our parallel line
Step-by-step explanation:
remember a parallel line will have the same slope.
So let's begin by using the equation above and substituting the points.
[tex]y = - 5x + b \\ - 8 = - 5(6) + b \\ - 8 = - 30 + b \\ 30 - 8 = b \\ b = 22[/tex]
therefore our parallel line would be
[tex]y = - 5x + 22[/tex]
Find the slope of the line that passes through the points (9, -2) and (-3. -2). Write the equation in
slope-intercept form.
Answer:
slope: zero/none
equation: y = -2
Step by Step:
1) find the slope - change in y / change in x
-2+2/9+3
0/12
0 <- zero slope = no slope
2) plug in and solve for y-intercept
( -3, -2 )
-2=(0*-3)+b
b=-2
because the slope was zero, we know that it's a horizontal line
therefore the only equation we can get from this is a y= equation
3) plug in values to get equation
y = -2
slope is zero
