21) Which expression is equivalent to 6(7x − 4)? A) 13x − 10 B) 13x − 24 C) 42x − 10 D) 42x − 24
Answer:
Answer is D) 42x − 24
Step-by-step explanation:
Opening the expression given in question
6(7x − 4)
6 will be multiplied by both items present inside parenthesis.
it can be written as
={(6 * 7x) - (6*4)}
=42x-24
Hope that clears the question.
What is the solution to the equation: 3x + 5 = 3x − 5
Answer:
no solution
Step-by-step explanation:
Answer:
the answer is no solution
Step-by-step explanation:
34. Find the solutions to x2 = 12.
Answer:
x = 6
Step-by-step explanation:
6 x 2 = 12
Answer: look at the picture
Step-by-step explanation: Hope this help :D
HELP ME FIND THE OPPOSITE OF THIS PLEASE!!! I’ll mark brainliest
Answer:
-3p^7 + 8p
Step-by-step explanation:
OPPOSITE: having a position on the other or further side of something; facing something, especially something of the same type.
The function h(t) = 162 +64t models the height, in feet, of a ball t seconds after it was kicked into the air. Which statement is true?
A. The ball reaches its maximum height 4 seconds after it was kicked.
O B. The ball reaches its maximum height 8 seconds after it was kicked.
O C. The ball takes 2 seconds to hit the ground.
D. The ball takes 4 seconds to hit the ground.
Please help me with this.
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Please help!! Thanks
I hope this helps you
A gardener can increase the number of dahlia plants in an annual garden by either buying new bulbs each year or dividing the existing to create new plants. The table below shows the expected number of bulbs for each method.
Need Part A-C
Answer:
Step-by-step explanation:
Part A
If the gardener increases the number of dahlia plants by buying the new bulbs,
Let the equation representing year (x) and number of bulbs purchased (y) is,
y = mx + b
Here, m = Number of plants purchased each year
b = Initial numbers of plants
For x = 0, and y = 6,
6 = m(0) + b
b = 6
For x = 1, y = 56,
56 = m(1) + 6
m = 50
Therefore, equation for this method of increasing the numbers of plants will be,
y = 50x+ 6
Let the equation for the second method of increasing the number of plants is represented by the equation,
y = a(b)ˣ
From the data given in the table,
For x = 0, y = 6
6 = a(b)⁰
a = 6
For x = 1, y = 12
12 = 6(b)¹
b = 2
Therefore, equation representing the second method (By diving the existing bulbs) will be,
y = 6(2)ˣ
Part B
By substituting the value of x = 10 years,
Method - 1
y = 50(10) + 6
y = 506 plants
Method - 2
y = 6(2)¹⁰
y = 6144 plants
Part C
After 5 years number of plants by method - 1,
y = 50(5) + 6
= 256
After 5 years number of plants by method - 2,
y = 6(2)⁵
y = 192
Similarly, After 10 years number of plants by method - 1,
y = 50(10) + 6
= 506
By method - 2,
y = 6(2)¹⁰
y = 6144
Since, number of plants after 5 years are less by the second method as compared to method 1
But after 10 years second method results the number of plants more than method-1,
Therefore, gardener should adopt method 2 for increasing the numbers of plants.
Functions are used to represent tables and equations.
(a) The equation of the functions
The function of "Buy New Bulbs" is a linear function with an initial value of 6, and a rate of 50 (i.e. 56 - 6)
So, the equation is:
[tex]y = 6 + 50x[/tex]
The function of "Divide Existing Bulbs" is an exponential function with an initial value of 6, and a rate of 2 (i.e. 12/6)
So, the equation is:
[tex]y = 6(2)^x[/tex]
Hence, the equations of the functions are [tex]y = 6 + 50x[/tex] and [tex]y = 6(2)^x[/tex]
The expected number of bulbs in 10 years
This means that x = 10.
So, we have:
[tex]y = 6 + 50x =6 + 50*10 = 506[/tex]
[tex]y = 6(2)^x =6 *2^{10} = 6144[/tex]
Hence, the expected number of bulbs in 10 years for both functions are 506 and 6144, respectively
Compare the expected number of bulbs in 5 and 10 years
When x = 5.
We have:
[tex]y = 6 + 50x =6 + 50*5 = 256[/tex]
[tex]y = 6(2)^x =6 *2^5 = 192[/tex]
When x = 15
We have:
[tex]y = 6 + 50x =6 + 50*15 = 756[/tex]
[tex]y = 6(2)^x =6 *2^{15} = 196608[/tex]
By comparison;
In 5 years, the expected number of bulbs for the function of "Buy New Bulbs" is greater than the function of "Divide Existing Bulbs", however the expected number of bulbs for the function of "Buy New Bulbs" is less than the function of "Divide Existing Bulbs" in 15 years
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What is the value of 2x to the power of 2 when x = 1.5?
15.0
4.45
4.50
450
Answer: 4.50 Look at the picture
Step-by-step explanation: Hope this help :D
Help me figure out what "w" is
Answer:
w = 17.4º OR 17 2/5º
Step-by-step explanation:
5w - 3 = 90º
5w = 90º - 3
5w = 87º
w = 17.4º OR 17 2/5º
Hope that helps, and sorry if it's wrong!
Definition of exponential?
Answer:
(of an increase) becoming more and more rapid.
"the social security budget was rising at an exponential rate"
Step-by-step explanation:
✨research ✨
Answer:
(of an increase) becoming more and more rapid.
(Mathematics)
of or expressed by a mathematical exponent.
Step-by-step explanation:
I need help with the first
Answer:
eq: s= 5w + 3
Step-by-step explanation:
independent: number of weeks
dependent: amount of stickers
the amount of stickers depend on how many weeks pass by :) (English is my second language so I may write weird)
How many more people in the world speak Chinese than speak English?
Answer:
The answer is 912 million
Step-by-step explanation:
912 million people speak Chinese in the world than they do English.
What is the independent and dependent variable in this statement, types of pizza or number of votes
Answer: type of pizza is dependant and the number of votes is independent
Step-by-step explanation:
the type of pizza they get depends on how many votes there are
If the acceleration is 600m/s/s and the mass is 300kg, calculate the force? *
Answer:
600 m/s2 ×300 kg = 180000 kg.m/s2
Answer:
180000Kgm/s2
Step-by-step explanation:
Force is the product of mass and acceleration. So F=MA
F=600 x 300
F=180000
Salinda borrowed $4,200 to buy some furniture Her monthly payments over four years with an interest rate of 24 percent are $136.93 per month. How much in total interest will she pay ?
Answer:
1008
Step-by-step explanation:
All you have to do is find what 24 percent of 4200 is.
Help aspvhbhhhhhhhbjnjjnn
Answer:
The area of this triangle is 7.5 square feet.
Step-by-step explanation:
Area of a triangle formula: A = 1/2 * base * height;
Apply formula to equation
(5 * 3)/2 = 7.5
A spinner with 8 equally sized slices has 2 blue slices and 6 yellow slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a red slice?
Answer:
0
Step-by-step explanation:
Probability = required outcome / Total possible outcomes
Total possible outcomes = (blue slice + yellow slice) = (2 + 6) = 8
Required outcome = number of red slices = 0
Probability of stopping on a red slice :
(0 / 8) = 0
In PQR the measure of R=90, QR=61 feet and RP=90 find the measure of P to the nearest degree.
Answer:
<P = 56 degrees
Step-by-step explanation:
Given the following
m<R = 90 degrees
QR = 61feet = Adjacent
RP = 90 feet= Opposite
Required
tan<P = opp/adj
Tan<P = 90/61
<P = arc tan (90/61)
<P = arctan 1.4754
<P = 55.9
<P = 56 degrees to the nearest degree
Please answer with explanation
Answer:
2000 linear feet
becouse 21-19=2 so thats his profit per linear foot
and it costs him 4000 so to get that amount he has to sell 2000 because 2000×2=4000
A triangle has vertices A(-2,1), B(2,4), C(4,1).
Find the area of the triangle.
Answer: 6 units squared
Step-by-step explanation: ok here is how you do it so you make the triangle like I did and once you make it. You count the squares about how long it is and how high it is in this case I got for the base 6 and the height 2 so we multiply to get 12 also we divide 12 and 2 to get 6 units squared there you go. hope this helps.
Simplify the expression to a polynomial in standard form: (4x-1)(3x-2)(x+1)
Answer:
12x^3+x^2-9x+2
Step-by-step explanation:
(4x-1)(3x-2)(x+1)
(12x^2-8x-3x+2)(x+1)
(12x^2+(-8x-3x)+2)(x+1)
(12x^2-11x+2)(x+1)
12x^2(x+1)-11x(x+1)+2(x+1)
12x^3+12x^2-11x(x+1)+2(x+1)
12x^3+12x^2-(11x^2+11x)+2(x+1)
12x^3+12x^2-11x^2-11x+2x+2
12x^3+(12x^2-11x^2)+(-11x+2x)+2
12x^3+x^2-9x+2
module six review and discussion-based assessment
Answer:
okay what's your question?
Step-by-step explanation:
Answer:
whats the question
Step-by-step explanation:
The town of Butler received 6 more inches of snow than the town of Chicora. Let c represent the amount of snow in Chicora. Which algebraic expression represents the amount of snow in Butler?
pls help i have been stuck on this for like an hour now.
Answer:
y=c+6
Step-by-step explanation:
this is the only equation I could think that fits the situation
hope this helped!
Percent increase in the price
Answer:
?
Step-by-step explanation:
Rosa and her friends are eating out for dinner.
The bill was $45.80. They want to leave a 20% tip.
How much should they leave for a tip (gratuity)?
Answer:$9.16
Step-by-step explanation:
What I did was 20% of $45.80! If you have a tip or a percent problem you can think of it as that percent of the certain number. In math "of" means mupltiply.
Punch in your calculator .2 which is 20% times 45.8 and you get your answer $9.16.
Hope this helps bwo
Allie identifies the coordinates of point D as (3, 7). Explain her error and explain how to correctly identify the ordered pair.
Answer:
[tex]D = (7,3)[/tex]
Step-by-step explanation:
Given
[tex]D = (3,7)[/tex]
See attachment for graph
Required
Identify and correct the error
From the attached graph, the coordinate of D is at:
[tex]x = 7[/tex]
[tex]y = 3[/tex]
So:
Allie's mistake is that, she identifies x as y coordinate and y as the x coordinate.
So, the right coordinate is:
[tex]D = (7,3)[/tex]
What should be done first to evaluate the expression?
6 + 8 ÷ 4 + (4 × 5)²
Answer:
First, follow the first step in PEMDAS so you would do the parenthesis first followed by exponents, multiplication, division, addition, then subtraction
Step-by-step explanation:
6 + 8 ÷ 4 (4*5)^2
6 + 8 ÷ 4 + 20^2
6 + 8 ÷ 4 + 400
6 + 2 + 400
= 408
The measure of two sides are given. Between what two numbers must the third side fall?
Answer:
between 12 and 17
hope helps
The measure of the third side of the triangle will fall between 5 and 29.
What is the Triangle Inequality Theorem?Triangle Inequality Theorem is that for two sides of a triangle, the third side cannot be equal to or greater than the third side's length.
From the Triangle Inequality Theorem,
The sum of the lengths of any two sides of a triangle must be greater than the third side, then the third side of this triangle must be strictly less than 29.
But we can't make the length of the third side too small, either.
If x is the length of the third side, then x + 12 > 17, which means that x > 5
Therefore, the length of the third side must fall between 5 and 29.
Hence, the measure of the third side of the triangle will fall between 5 and 29.
Learn more about Triangle Inequality Theorem, click;
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NI -
16
2
Which of the following is equivalent to
O 6
08
O 12
O 64
Answer:B
Step-by-step explanation:
The equivalent expression is 8.
Option B is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
[tex](16^{3/2})^{1/2}[/tex]
This can be written as,
= [tex]16^{3/2 \times 1/2}[/tex]
= [tex]16^{3/4}[/tex] ______(1)
Now,
16 = [tex]2^4[/tex] ______(2)
Now,
From (1) and (2),
= [tex]2^{4 \times 3/4}[/tex]
= 2³
= 8
Thus,
The equivalent expression is 8.
Learn more about expressions here:
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