Answer:
The zeros of the function are x=-7 and x=2
Step-by-step explanation:
we have
[tex]A(x)=(x-2)(x+7)[/tex]
we know that
The zeros or roots of the function are the values of x when the value of the function is equal to zero (also is called the x-intercepts)
so
For A(x)=0
[tex](x-2)(x+7)=0[/tex]
Remember that
The Zero Product Property states that
if ab = 0, then either a = 0 or b = 0, or both a and b are 0
so
Let
[tex](x-2)=0[/tex] ----> [tex]x=2[/tex]
[tex](x+7)=0[/tex] ----> [tex]x=-7[/tex]
therefore
The zeros of the function are x=-7 and x=2
100 POINTS AND MARKED AS BRAINLIEST IF YOU ANSWER THIS
Create an expression that you would use to solve the problem below.
YOU DO NOT NEED TO SOLVE. Just set up the expression to represent the situation below.
A tool rental cost $0.65 per minute. If the total bill for rental was $18.20, then for how many minutes was the tool used.
Answer:
$18.20/0.65=28 minutes
Step-by-step explanation:
$18.20 was the cost of the rental divide it by the cost per minute and that will give you the total number of minutes used which is 28.
Answer:
since one mins = 0.65
for 18.20= 18.20/0.65= 28mins
Question 16....please help me out
Answer:
Persian-Maine Coon-American Shorthair
Step-by-step explanation:
If you look back at the question, you will see the numbers 13.65,13.07, and 13.6. So, we'll do this by digits.
The first digit of all the numbers is 1. So we'll move on. The second digit is a3, of which all numbers have in common. So we'll move on again. So now ur down to the digits 6, 0, and 6. Well, 13.07 belongs to the Persian. Then You'll see a 6, which belongs to the Maine coon. Lastly, you have another 6, which goes to the American shorthair. Correct me if i'm wrong :-)
17 more than twice Gail’s age
Answer:
34
Step-by-step explanation:
i just know t hat this is th answer
What is the length of line segment BC?
2 cm
3 cm
6 cm
8 cm
Answer:
3
Step-by-step explanation:
I have 9 hundreds, 9 ones, 19
tens, and 3 tenths. What number
am I?
Answer:
1099.3
Step-by-step explanation:
9 hundreds = 900
9 ones = 9
19 tens = 190
3 tenths = 0.3
Answer:
1099.3
Step-by-step explanation:
9 hundreds => 900
19 tens => 190
9 ones => 9
3 tenths => 0.3
This number is: 1099.3
100 POINTS AND MARKED AS BRAINLIEST IF YOU ANSWER THIS
Create an expression that you would use to solve the problem below.
YOU DO NOT NEED TO SOLVE. Just set up the expression to represent the situation below.
A tool rental cost $0.65 per minute. If the total bill for the rental was $18.20, then for how many minutes was the tool used?
The expression that represents the situation is 0.65 x = 18.2
The tool used for 28 minutes
Step-by-step explanation:
The given is:
A tool rental cost $0.65 per minuteIf the total bill for the rental was $18.20Assume that the tool rent for x minutes
∵ The tool rental cost is $0.65 per minute
∵ The number of minutes is x
∵ The total bill for the rental = $18.20
∴ 0.65 x = 18.20
The expression that represents the situation is 0.65 x = 18.2
Solve the equation to find x
∵ 0.65 x = 18.20
- Divide both sides by 0.65
∴ x = 28
The tool used for 28 minutes
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You can learn more about the word problem in brainly.com/question/3950386
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Brian buys 6 books and the total cost is $24.18. What is the constant of proportionality that relates the cost in dollars, y, to the number of books, x?
Answer:
4.03
Step-by-step explanation:
Y = kx
y = 24.18
x = 6
k = constant of proportionality
Y =kx
Step 1. Substitute number based on the formula
24.18 = k6
Step 2. Transpose Y to the left to find the ratio of constant proportionality
K = 24.18/6
Step 3. Divide Y over X
K = 4.03 (answer)
what is negative seven divided by four
Answer: -1.75
Step-by-step explanation:
Answer:
-1.75 is the answer ....
Solve this please and list your steps
Answer:
√125 + 5 or 16.180
Step-by-step explanation:
√5 · 5 · 5 + √5 · 5
√25 · 5 + √25
√125 + 5 or 16.18
A college student receives an interest-free loan of $9,400 from a relative. The student will repay $200 per month until the loan is paid off.
(a) Express the amount P (in dollars) remaining to be paid in terms of time t (in months). (Give your answer in slope-intercept form.)
(b) After how many months will the student owe $5000?
Answer:
(a) P = - 200 T + 9,400
(b) After 22 months the student will owe $5000.
Step-by-step explanation:
Here, the amount loaned out to the student = $9,400
The installment amount of each month = $200
(a) P : Amount remaining to be paid
T: time in months
Now, the remaining amount = Actual amount - Amount paid in T months
or, P = 9,400 - $200 (T)
⇒ P = - 200 T + 9,400 ( y = mx + C form)
(b) The remaining amount left = $5000
As we know, P = 9,400 - $200 (T)
⇒ 5,000 = 9,400 - 200 T
⇒200 T = 9,400 - 5,000 = 4,400
⇒ T = 4400/200 = 22
or T = 22 Months
Hence, After 22 months the student will owe $5000.
Find the perimeter of the square:
6x + 1
Answer:
Do you have a photo
Step-by-step explanation:
I'll be happy to help
Given the function f(x) = 4(2)x, Section A is from x = 1 to x = 2 and Section B is from x = 3 to x = 4.
Part A: Find the average rate of change of each section. (4 points)
Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points)
(10 points)
Answer:
Part A: Section A- 8, Section B- 32.
Part B: 4 times.
Step-by-step explanation:
The function is given by [tex]f(x) = 4(2)^{x}[/tex].
Section A is from x = 1 to x = 2.
Now, f(1) = 4 × 2 = 8 and f(2) = 4 × 2 × 2 = 16
Again, section B is from x = 3 to x = 4.
Now, f(3) = 4 × 2 × 2 × 2 = 32 and f(4) = 4 × 2 × 2 × 2 × 2 = 64
Part A:
In section A, the average rate of change is = [tex]\frac{f(2) - f(1)}{2 - 1} = 16 - 8 = 8[/tex] (Answer)
And in section B, the average rate of change is = [tex]\frac{f(4) - f(3)}{4 - 3} = 64 - 32 = 32[/tex] (Answer)
Part B:
Therefore, the number of times the average rate of change of section B is greater than section A is [tex]\frac{32}{8} = 4[/tex] (Answer)
Answer:
Part A: Section A- 8, Section B- 32.
Part B: 4 times.
Step-by-step explanation:
The function is given by .
Section A is from x = 1 to x = 2.
Now, f(1) = 4 × 2 = 8 and f(2) = 4 × 2 × 2 = 16
Again, section B is from x = 3 to x = 4.
Now, f(3) = 4 × 2 × 2 × 2 = 32 and f(4) = 4 × 2 × 2 × 2 × 2 = 64
Part A:
In section A, the average rate of change is = 8
And in section B, the average rate of change is = 32
Part B:
Therefore, the average rate of change of section B is greater than section A is (32 / 8 = 4)
Mr. william bought an old table for RS 850 and spent 1/10 of the cost price on its repairs. He sold the table for Rs 1050. Find his gain or loss percent.
fast please!
Answer:
115
Step-by-step explanation:
1/10 of 850= 85
he spent and additional RS 85 on its repairs
cost price + repairs price =935
he sold it for 1050
to find his gain =1050-935
=115
how many time does 6 go into 26
Answer: 6 goes into 26 4 times.
Step-by-step explanation:
Because 6 * 10 is 60, we know that it cannot be more than 10.
5 * 6 = 30, so we know it cannot be more than 5.
6 * 4 = 24. Because we cannot add 6 more, we know that 24 is the highest we can go.
Answer:
4 with remainder of 2
Step-by-step explanation:
26/6=4 2/6=4 1/3
HELP PLEASE HARDEST QUESTION IN THE WORLD :(
MICKEY AND MINNIE ARE EXPECTING.
THEY ARE A VERY HAPPY COUPLE.
THE DOCTOR SAID THEY ARE HAVING 5 BOYS AND 5 GIRLS.
MICKEY AND MINNIE ARE RATS.
EVERY THREE WEEKS AN ADULT RAT COUPLE CAN HAVE BABIES.
IT TAKES 6 WEEKS FOR A BABY RAT TO BECOME AN ADULT
AND BE OLD ENOUGH TO HAVE A BABY.
ASSUMING MICKEY AND MINNIE WANT TO HAVE AS MANY CHILDREN AS POSSIBLE AND THEIR OFFSPRING WANT TO HAVE AS MANY CHILDREN AS POSSIBLE,
WHAT WILL BE THEIR ENTIRE POPULATION IN ONE YEAR? (52 WEEKS)
(INCLUDING MICKEY AND MINNIE)
(ASSUME EVERY PREGNACY WILL CONSIST OF 5 BOYS AND 5 GIRLS)
Answer: 6, 570
Step by step explanation: If Minnie and Mickey have 5 girls and 5 boys every 3 weeks for 52 weeks this means they will have 17 pregnancies. At the end of one year Minnie and Mickey alone will have produced 170 children. It takes these children 6 weeks to grow up and be ready to reproduce. Every 6 weeks 10 new rats will be able to have children at a rate of 10 per 3 weeks. This means that a single set of 10 offspring will have 100 children every 3 weeks. There will be 8 sets of offspring that can reproduce before the year is over. This means if the sets have 100 children every 3 weeks starting with one set and adding one more set every 6 weeks, at the end of the year the offspring's offspring will total 6,400. 6,400 + 170 will equal 6,570. The total population is 6,570.
Mona, Tabitha, and Reid are at a frozen yogurt shop. At the shop, frozen yogurt and toppings are charged by the ounce.
The following table shows the weight and cost of each person's bowl.
Person Mona Tabitha Reid
Weight of bowl 9.2 ounces 8.1 ounces 7.8 ounces
Cost of bowl $4
65
A. What does the yogurt shop charge per ounce?
B. What should Reid's bowl cost?
Answer:
(a)The cost of per ounce of yogurt = $0.45
(b) The the cost of Reid's bowl = $3.51
Step-by-step explanation:
Here, according to the question :
The cost of 9.2 ounce yogurt bowl = $4 .14
The cost of 8.1 ounce yogurt bowl = $3.65
(a) Now, [tex]\textrm{Cost of 1 ounce of yogurt} = \frac{\textrm{Price of n ounce of yogurt}}{\textrm{ n}}[/tex]
= [tex]\frac{\textrm{Price of 9.2 ounce of yogurt}}{\textrm{ 9.2}} = \frac{4.14}{9.2} = 0.45[/tex]
So, the cost of per ounce of yogurt = $0.45
(b) Now, the amount if yogurt in Reid's Bowl = 7.8 ounces
So, the total cost of her bowl with 7.8 ounce yogurt = 7.8 x ( cost of 1 ounce of yogurt)
= 7.8 x ( $0.45) = $3.51
So, the the cost of Reid's bowl = $3.51
Answer:
A) $0.45 per oz
B) $3.51
4.14/9.2 = 0.45
0.45 x 7.8 = 3.51
Step-by-step explanation:
In a two-digit number the units digit is three less than the tens digit. If the digits are reversed, the sum of the reversed number and the original number is 121. Find the original number.
answer: 74
explanation:
7-3=4
74
+47
---
121
Answer:
The digits are 7 and 4. The number would be 74.Step-by-step explanation:
In a two-digit number we have the unit's digit and the ten's digit. The unit's digit is represented by [tex]u[/tex]. Then ten's digit must be represents with a number 10 as a coefficient, and the variable would be [tex]d[/tex]. So, the numerical vale of the number would be:
[tex]10d+u[/tex]
Also, we know that [tex]d=u+3[/tex], because the unit digit is three less than tens digit, or tens digit is three more units than the unit digit.
Then, the sum of the reversed number and the original number is 121, this would be expressed:
[tex]10d+u+10u+d=121\\11d+11u=121[/tex]
But, we know that [tex]d=u+3[/tex], so, we replace it:
[tex]11(u+3)+11u=121\\11u+33+11u=121\\22u+33=121\\22u=121-33\\u=4[/tex]
Then, if tens digits is 3 more, [tex]d=7[/tex]
Therefore, the digits are 7 and 4. The number would be 74.
Solve the system of linear equations.
x + y = 4
2x − 3y = 18
A) (6, 2)
B) (−6, 2)
C) (6, −2)
D) (−6, −2)
Answer:
The answer is C) (6, -2).
Step-by-step explanation:
First, subtract both sides by y in the first equation, to figure out what x is.
x+y-y=4-y
x=4-y
x is equal to 4-y. Use substitution to plug that in to the second equation for x.
2x-3y=18
2(4-y)-3y=18
Now, solve for y. Expand.
2(4-y)-3y=18
8-2y-3y=18
Combine like terms.
8-2y-3y=18
8-5y=18
To get y by itself, subtract 8 from both sides.
8-8-5y=18-8
-5y=10
Lastly, divide both sides by -5.
-5/-5y=10/-5
y=-2
Since we know that y is equal to -2, we can solve for x in the equation x=4-y.
x=4-y
x=4-(-2)
*Negative & Negative makes a Positive*
x=6
Therefore, your answer is x being equal to 6, and y being equal to -2.
Hope this helped!
Final answer:
To solve the system of linear equations, we first solve one equation for a variable and then substitute it into the other. Through simplification and combination of like terms, we find that the solution is (6, -2), which is option C.
Explanation:
The subject question involves solving a system of linear equations. We are given the first equation, x + y = 4, and the second equation, 2x - 3y = 18. To find the solution, we will use the method of elimination or substitution to solve for the values of x and y.
Step-by-Step Solution
Solve the first equation for y: y = 4 - x.
Substitute y in the second equation: 2x - 3(4 - x) = 18.
Simplify: 2x - 12 + 3x = 18.
Combine like terms: 5x = 30.
Divide by 5: x = 6.
Substitute x in the first equation: 6 + y = 4.
Solve for y: y = -2.
The solution to the system of equations is (6, -2), which corresponds to option C.
Twenty times a square of a positive integer, plus 50 equals negative 40 times the square of the positive integer, plus one-hundred and ten times the positive integer. Which equation could be used to solve for the unknown positive integer.
A) 60x2 + 110x + 50 = 0
B) 60x2 + 110x − 50 = 0
C) 60x2 − 110x + 50 = 0
D) 60x2 − 110x − 50 = 0
Answer:
c
Step-by-step explanation:
Twenty times a square of a positive integer, plus 50 equals negative 40 times the square of the positive integer, plus one-hundred and ten times the positive integer. Which equation could be used to solve for the unknown positive integer.
A) 60x2 + 110x + 50 = 0
B) 60x2 + 110x − 50 = 0
C) 60x2 − 110x + 50 = 0
D) 60x2 − 110x − 50 = 0
The correct equation to solve for the unknown positive integer is 60x^2 - 110x + 50 = 0.
Explanation:To solve for the unknown positive integer, you'll need to form an equation. Start by writing down the mathematical expressions as given in the equation.
20x^2 + 50 = -40x^2+ 110x based on the statement given. Then, to simplify the equation, combine like terms. To do this, you'll need to move -40x^2 to the left side of the equation and move 50 to the right side of the equation. This gives us: 20x^2 + 40x^2 = 110x - 50. The result is 60x^2 - 110x + 50 = 0. The correct answer is choice C: 60x^2 - 110x + 50 = 0.
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what is the median,lower quartile,maximum,upper quartile,and the minimum of 34, 37, 39, 32, 48, 45, 53, 62, 58, 61, 60, 41
Answer:
Median = 46.5
Minimum = 32
Maximum = 62
Lower quartile = 38
Upper quartile = 59
Step-by-step explanation:
Before we can proceed to solving any of these, it is best you arrange your data first from least to greatest
32 34 37 39 41 45 48 53 58 60 61 62
First we have the median. The Median is the middle value. In this case we an even number of data, which is 12 data points. The middle value of the data would be found in between the 6th and 7th data point:
45 and 48
To get the middle value, you need to solve for the value that is in the middle of 45 and 48 by getting the sum of both numbers and dividing it by two.
45 + 48 = 93
93 ÷ 2 = 46.5
The minimum and maximum value is merely the least and greatest number.
Here we have:
Minimum = 32
Maximum = 62
To get the lower and upper quartiles, just remember that quartiles divide the data into 4 equal parts. All you need to do is find the value that is in between each quarters of the data:
Q1 (Lower) Q2(Median) Q3(Upper)
32 34 37 | 39 41 45 | 48 53 58 | 60 61 62
Like the median, we will find the value that comes in between each quarter.
Q1
37 + 39 = 76
76 ÷ 2 = 38
Lower quartile = 38
Q3:
58 + 60 = 118
118 ÷ 2 = 59
Upper quartile = 59
Answer:
the person on top has it right ^^^^^^^^^^ did the work and it right thx :))
A girl paid the property tax of RS. 2068 at the rate of 0.8%. Find the worth of property?
Answer:
Let the worth of the property be x
0.8x/100 = 2068
8x = 2068000
x = 258500 Rs.
Hope this helps!
How do you evaluate the expression 7x + 4 for x = 6
Answer:
46
Step-by-step explanation:
7x+4
7(6)+4
42+4
46
Step-by-step explanation:
7x+4=6
substitute 6 in x
7(6)+4
42+4=46
2 + 1.25f = 10 - 2.75f
Answer:
f=2
Step-by-step explanation:
1.25f+2.75f= 10-2
You must take positive two to the other side to get negative 2. Also, you should take the negative 2.75f to the other side to get positive 2.75f.
4f= 8
f= 2
Answer:
f=2
Step-by-step explanation:
8x raise 2 -36 is a linear expression true or false
Answer:
False. [tex]8x^2-36[/tex] is not a Linear expression.
Step-by-step explanation:
Given: [tex]8x^2-36[/tex]
we need to find whether it is a linear expression or not.
By Definition of Linear expression we say,
Linear expression is an algebraic expression where the power of variable(s) is equals to 1
Or we can say that:
Polynomial having power of variable(s) as 1, is known as Linear Expression
In the above expression the power of variable is 2 hence it is not a linear expression.
Hence the statement is False, the [tex]8x^2-36[/tex] is not a Linear expression.
A waterfall has a height of 1400 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 16 feet per second. The height, h, of the pebble aftert
seconds is given by the equation hs - 167" + 16 + 1400. How long after the pebble is thrown will it hit the ground?
The pebble hits the ground approximately 8.88 seconds after it is thrown, based on the given equation for its height.
To find out when the pebble hits the ground, we need to find the time when the height h(t) equals 0.
Given that the height h(t) of the pebble after t seconds is given by the equation:
[tex]\[ h(t) = -16t^2 + 16t + 1400 \][/tex]
We set h(t) to 0 and solve for t:
[tex]\[ -16t^2 + 16t + 1400 = 0 \][/tex]
Now, we can use the quadratic formula to solve for t :
[tex]\[ t = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}} \][/tex]
where a = -16, b = 16, and c = 1400.
Plugging these values into the quadratic formula:
[tex]\[ t = \frac{{-16 \pm \sqrt{{16^2 - 4(-16)(1400)}}}}{{2(-16)}} \]\[ t = \frac{{-16 \pm \sqrt{{256 + 89600}}}}{{-32}} \]\[ t = \frac{{-16 \pm \sqrt{{89856}}}}{{-32}} \]\[ t = \frac{{-16 \pm 300.1}}{{-32}} \][/tex]
We'll ignore the negative solution because time can't be negative in this context. So, we use the positive solution:
[tex]\[ t = \frac{{-16 + 300.1}}{{-32}} \]\[ t = \frac{{284.1}}{{-32}} \]\[ t \approx -8.88 \][/tex]
Since time can't be negative, we discard this solution. The only meaningful solution is when the pebble hits the ground. Thus, the pebble hits the ground approximately 8.88 seconds after it is thrown.
Simplify the expression.
Answer:
I'm pretty sure the answer is 5.2h-2.9d-16
the answer doesn’t have to be long i just really need help
I'm not 100% sure about part A, but it looks like a regular hexagon is being constructed. Though some marks seem to be missing. Again I'm not fully certain.
But I'm sure about parts B and C.
For part B, this is showing the construction of the perpendicular bisector to segment AB. The perpendicular bisector is perpendicular to the given segment and it cuts the given segment AB in half.
In part C, a line is being constructed to go through point R such that it is parallel to line PQ.
Please help me please please : ( : (
The top of blue mountain ski slope is 17 3/4 yards above sea level . The lowest point of the ski slope is 13 1/4 yards below sea level . Joe and Steve are going skiing and will be taking a ski lift up to the top of the mountain .The ski lift is going to pick them up at the midpoint between the top and bottom of the slope . At what elevation will they be picked up ? Skow your work answer it correctly please i need it today right now please
Answer:
They will be picked up at 2 [tex]\frac{1}{4}[/tex] yards above sea level
Step-by-step explanation:
Let us consider sea level as reference and positions above sea level as positive and below sea level as negative.
With respect to this reference,
the position of top most point is +17 [tex]\frac{3}{4}[/tex] yards
and the position of lower most point is -13 [tex]\frac{1}{4}[/tex] yards
⇒ The position of midpoint is [tex]\frac{+17 \frac{3}{4} - 13 \frac{1}{4}}{2}[/tex]
= +2 [tex]\frac{1}{4}[/tex]
∴ They will be picked up at 2 [tex]\frac{1}{4}[/tex] yards above sea level
Please help me idk howwwwww
Answer:
OPTION B: y = [tex]$ \frac{1}{2} $[/tex]x - 2
Step-by-step explanation:
To find the equation of the line substitute the value of x and compare the corresponding value of y.
OPTION A:
y = 2x + 4
Substitute x = 0. We get, 2(0) + 4 = 4
When x = 0, y = -2 [tex]$ \ne $[/tex] 4.
OPTION B:
y = [tex]$ \frac{1}{2} $[/tex]x - 2
Substitute x = 0, we get [tex]$ \frac{1}{2} (0) - 2$[/tex]
= -2
When x = 2, [tex]$ \frac{1}{2}(2) - 2 $[/tex] = 1 - 2
=-1
Similarly, When x = 4, [tex]$ \frac{1}{2}(4) - 2 = 2 - 2 $[/tex]
= 0.
Since, all the values are satisfied, OPTION B is the answer.
Substitute OPTION C and OPTION D. They do not satisfy the values either.
The length of the rectangle garden is three more than twice its width. If the perimeter of the garden is 114 feet, what is its width of the garden?
Dimensions of rectangular garden is: length = 39 feet and width = 18 feet
Solution:Given that length of the rectangle garden is three more than twice its width.
The perimeter of the garden is 114 feet
Need to determine width of the garden
Let assume width of the garden be represented by variable "x"
=>Twice of the width = [tex]2 \times x = 2x[/tex]
=> 3 more than Twice of the width= 3 + 2x = 2x + 3
As length of the rectangle garden is three more than twice its width ,
=> Length of the rectangle garden = 2x + 3
Perimeter of the rectangle = 2( length + width)
=> Perimeter of the rectangular garden = 2 (Length of the rectangle garden + width of the garden)
= 2 (2x + 3 + x) = 2 (3x + 3 ) = 6x + 6
=> Perimeter of the rectangular garden = 6x + 6
As it is also given that Perimeter of the rectangular garden = 114 feet
=> 6x + 6 = 114 feet
=> 6x = 114 – 6
x = 18
Width of the garden = x = 18 feet
Length of the garden = = 2x + 3 = 2(18) + 3 = 39 feet
Hence dimensions of rectangular garden is length = 39 feet and width = 18 feet