Answer:
a) 8x^2 + 4x + 9
Step-by-step explanation:
To find the total number of red and pink geranium pots, we need to add the two expressions given for the number of pots for red and pink respectively.
x (7x - 2) + (x + 3)^2
Expanding x (7x - 2) gives (7x^2 - 2x)
Expanding (x + 3)^2 gives (x^2 + 6x + 9)
Adding the like terms in these two expanded expressions:
(7x^2 - 2x) + (x^2 + 6x + 9)
= 7x^2 + x^2 + 6x - 2x +9
8x^2 + 4x + 9
Answer:
A greenhouse that specializes in growing geraniums is divided into sections. The number of geranium pots in each section depends on the number of sprinklers in that section.
There are x(7x − 2) pots of red geraniums and (x + 3)^2 pots of pink geraniums in a section with x sprinklers.
Which simplified expression represents the total number of red and pink geranium pots in a section with x sprinklers? (5 points)
a
8x^2 + 4x + 9
b
8x^2 + 6x + 9
c
8x^2 + 6x + 7
d
8x^4 + 4x^2 + 9
Is that what you mean, Jalenschaefer12? The way you had it made it confusing. If you want to do an exponent just do the carat sign (^), then a number, for example 4^22.
complete the first 4 steps for graphing the quadratic function given. (Use ^ on the keyboard to indicate an exponent.)
y = -x2 - 4x - 3
There are multiple ways that you could graph this quadratic equation. I would start by finding the vertex. The x-value in the vertex is found with -b/2a. The take you value and input back into the equation to find the y-value of your vertex. Then, you could make a list of points on both sides of the vertex to create a table with which to create the parabola.
Answer:
Step-by-step explanation:
is equal 45
Stella is recording the temperature every day for five days on the first day it was 0 degrees and the second day was 3 degrees higher then the day before
First day temperature is 0 degree.
Second day temperature is 3 degree higher than first day's temperature.
In order to find the higher temperature we need to add increased temperature in previous day's temperature.
First day given temperature is 0 degree .
Three degree higher than 0 would be 0+3.
On adding 0 and 3 we would get 3.
Therefore, second day temperature would be 3 degrees.Write the equation of the line that contains the given point and has the given slope. (–1, 1), slope = –2
The equation of the line that passes through the point (–1, 1) and has a slope of –2 is y = -2x - 1.
Explanation:The question is asking for the equation of the line that passes through the point (–1, 1) and has a slope of –2. The formula for a line is y = mx + b, where m is the slope and b is the y-intercept. Since we know the slope (m) is -2, and we have the coordinates of a point on the line (-1,1), we can substitute these values into the formula to solve for 'b', the y-intercept.
So, 1 = -2*(-1) + b, which simplifies to 1 = 2 + b. Solving this for b gives us a y-intercept (b) of -1.
Therefore, the equation of the line that contains the given point and has the given slope is y = -2x - 1.
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Today the 6th graders had 5 students absent, the 7th graders had 8 students absent,and the 8th graders had 9 students absent. If the attendance follows the same trend for the month (assume 20 days) how many times will a 7th grade student be absent during the month?
A 7th grade student will be absent approximately 0.4 times during the month.
Explanation:To find out how many times a 7th grade student will be absent during the month, we first need to determine the average number of absent students per day for each grade. The total number of absent students across all grades is 5 + 8 + 9 = 22. Since there are 20 school days in a month, the average number of absent students per day is 22 / 20 = 1.1.
Next, we need to determine the proportion of absent students that are 7th graders. The 7th graders had 8 absent students, so their proportion of absent students is 8 / 22 = 0.3636 (rounded to four decimal places).
Finally, to find out how many times a 7th grade student will be absent during the month, we multiply the average number of absent students per day (1.1) by the proportion of absent students that are 7th graders (0.3636). This gives us the final answer of approximately 0.39996 (rounded to five decimal places) or about 0.4 times.
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What is the degree of the polynomial in the expression below?
x6 + 3 - 2x2 + 4x7 - 4x
A. 7
B. 6
C. 4
D. 5
Answer:
The degree of the polynomial in the expression below is:
A. 7
(hope this helps :3)
Answer: A.) 7
Step-by-step explanation: a p e x
80 POINTS!!!!!!
Identify the x-axis on the plane shown below:
Question 1 options:
The green line represents the x-axis
The red line represents the x-axis
The black line represents the x-axis
The blue line represents the x-axis
What is the next number in the pattern of 12 24 72 288
The next number is 1440.
Here is the pattern:
12*2=24
24*3=72
72*4=288
So, you have to multiply 288 by 5, which will get you the answer 1440.
What is the area of a flour tortilla that has a 14-centimeter radius?
Final answer:
The area of the flour tortilla with a 14-centimeter radius is approximately 615.75 square centimeters.
Explanation:
The area of a circle is given by the formula A = πr², where r is the radius. Given a 14-centimeter radius, the area of the flour tortilla would be:
A = π(14 cm)² = 196π cm² ≈ 615.75 cm²
Thus, the area of the flour tortilla is approximately 615.75 square centimeters.
You have two credit cards. One has a balance of $3,745.00 at a 6.25% apr and the other has a balance of $1,045.00 and is dependent upon your credit score. Your score is 500. How much total interest is accrued in the first month? Score <500 500-650 651-750 751-800 rate (apr) 12.75% 10.25% 7.5% 5.75% $28.44 $24.51 $30.41 $26.04
The total interest accrued on two credit cards in the first month is $28.44, with $19.51 coming from the first card with a balance of $3,745 at 6.25% APR and $8.93 from the second card with a balance of $1,045 at 10.25% APR based on a credit score of 500.
The question involves calculating the total interest accrued on two credit cards in the first month. The first credit card has a balance of $3,745.00 at an annual percentage rate (APR) of 6.25%, and the second credit card has a balance of $1,045.00 with an APR that depends on the credit score. Given a credit score of 500, the APR for the second card is 10.25% (per the provided table).
First, to find the monthly interest for each card, we can use the formula: Monthly Interest = (Balance) x (APR) / 12 months.
For the first card: Monthly Interest for $3,745.00 at 6.25% APR is ($3,745.00) x (0.0625) / 12 = $19.51.
For the second card: Monthly Interest for $1,045.00 at 10.25% APR is ($1,045.00) x (0.1025) / 12 = $8.93.
To find the total interest accrued from both credit cards in the first month, simply add the monthly interest amounts from each card: $19.51 + $8.93 = $28.44.
How do you finish this graph?
The slope is [tex]m=\dfrac{\Delta y}{\Delta x}[/tex]
We have slope m = 3.
[tex]m=3=\dfrac{3}{1}[/tex]
3 > 0 - up 3 units
1 > 0 - right 1 unit
Answer in attachment.
BRAINLIEST!!PLEASE HELP
Which of the points satisfy the linear inequality graphed here?
A) (0, 0)
B) (10, 0)
C) (-10, 0)
D) (10, 10)
C . Find a point that lies in the shaded region, or plug the points in and determine which point makes the inequality true.
Triple a number b is greater than or equal to 21
Last year 660 people attended the outdoor concert in the park. If 25% more tickets were sold this year than last year, how many people will attend the concert this year
What are the three forms of linear equations?
That would be point-slope form, standard form, and slope-intercept form.
The three forms of linear equations are the standard form (Ax + By = C), the slope-intercept form (y = mx + b), and the point-slope form (y - y1 = m(x - x1)).
The three forms of linear equations are:
The standard form, which appears as Ax + By = C, where A, B, and C are constants, and A and B are not both zero.
The slope-intercept form, given by y = mx + b, with m representing the slope and b representing the y-intercept.
The point-slope form, which is written as y - y1 = m(x - x1), where m is the slope and (x1, y1) is a known point on the line.
Each form is useful in different contexts: the standard form is often used when both x and y intercepts are integers; the slope-intercept form is useful for quickly identifying the slope and intercept; and the point-slope form is handy when a point on the line and the slope are known.
Point P is the mid -point of MN and C is mid point of MP. Prove that, using Euclids axiom, MC =1/2PN
Answer:
Given:-Point P is the mid -point of MN and C is mid point of MP.
To prove:-MC =1/2PN
Proof:- As P is the mid -point of MN then P divides MN into two equal halves
such that MP=1/2MN=PN ....................(1).(by Euclid's axiom "things which are equal to the same thing are also equal to one another")
Similarly as C is the mid point of MP then MC=1/2MP=CP ................(2)
Now replacing MP by PN from (1)in (2),we get
MC=1/2(PN)...................hence proved.
14|x| - 14 = 41
Algebra
14|x| - 14 = 41 |add 14 to both sides
14|x| = 55 |divide both sides by 14
|x| = 55/14 ↔ x = - 55/14 or x = 55/14
56.7 x41 how to work out without calculator
6. The ABC Book Club charges a $40 monthly fee, plus $2 per book read in that month. The Easy Book Club charges a $35 monthly fee, plus $3 per book read in that month. For each club, how many books must be read in 1 month for the total charges from each club to be equal?
The expression for the cost of the ABC Book Club is 2x + 40. The expression for the cost of the Easy Book Club is 3x + 35. To find when the total charge for both book clubs is equal, the two expressions must equal each other. (x = the number of books read)
2x + 40 = 3x + 35
Subtract 35 from both sides.
2x + 5 = 3x
Subtract 2x from both sides.
5 = x
So, the total charge for each club is equal when 5 books are read.
The number of books read from both ABC and Easy book clubs must be 5 in other to have a equal monthly charge.
Let the number of books read = b
ABC Book club :
Monthly charge = $40
Fee per book read = $2
Total monthly charge = 40 + 2b - - - - (1)
Easy Book Club :
Monthly charge = $35
Fee per book read = $3
Total monthly charge = 35 + 3b - - - (2)
To obtain an equal monthly charge ;
Equation(1) = Equation(2) and solve for b
40 + 2b = 35 + 3b
40 - 35 = 3b - 2b
5 = b
Hence, to have an equal monthly charge, the number of books read from each club must be 5.
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WIll give brainiest answer if you are correct.
HELP. Will give brainliest. MORE THAN ONE ANSWER FOR EACH QUESTION.
Question 1.
Find the equation of the line with a slope of -3, passing through the point (2, 5).
a. y = -3x - 1
b. y = -3x + 11
c. y = -3x + 5
d. y = 2x + 5
MULTIPLE ANSWERS.
Question 2.
Find the equation of the line passing through the points (2, -1) and (-6, -5)
a. y = 2x - 5
b. y = -1/2 x
c. y = 1/2 x
d. y = 1/2 x - 2
MULTIPLE ANSWERS
One
Slope
The general slope intercept equation for a line is
y = mx + b
If you are told outright what the slope is then you can write m = slope in this case - 3
So you have so far is y = -3x + b. Now you use the point to get the y intercept.
(2,5) means that when x = 2, y = 5. that allows you to solve for b
Y intercept
When x = 2, y = 5. Substitute that into the general equation with the slope.
5 = -3x + b Put 2 in for x
5 = -3 * 2 + b Multiply -3 * 2
5 = - 6 + b Add 6 to both sides
5 + 6 = b
11 = b
Answer
y = -3x + 11
Two
This question is a little harder. You have to find the slope.
Slope Formula
[tex]\text{m = } \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
Givens
Points (2, -1), (-6, - 5)
y2 = -1 ; y1 = -5; x2 = 2; x1 = -6
Solve
m = (-1 - - 5)/(2 - - 6) = (-1 + 5)(2 + 6) = 4/8 = 1/2
Now find the y intercept. Use either one of the given points
(2,-1) when x = 2, y = - 1
y = 1/2 x + b Show what you have so far. Put in x = 2 for x and y = - 1 for y
-1 = 1/2(2) + b Multiply 2*1/2
-1 = 1 + b Subtract 1 from both sides.
-1 -1 = b
- 2 = b
Answer
y = (1/2)x - 2 which is D
Which equation has the following characteristics?
y varies directly with x
y=30 when x =3
A. y=27+x
B. y=10x
C. y=33-x
D. 30x
I think it's B
In July, 3/5 of the 160 babies born in an area hospital were girls. Seventy of the babies weighed 8 pounds or more. Fifty boys weighed 8 pounds or more. Which of the following tables shows relative frequency by row?
Imma guess the middle one
Answer:
B
Step-by-step explanation:
Celine has a bottle that contains 20% milk and the rest water. The bottle has 1 liter of water. Part a: write an equation using one variable that can be used to find the total number of liters of milk and water in the bottle. Define the variable used in the equation. Hint: 0.2x represents the number of liters of milk in the bottle. (5 points) part b: how many liters of milk are present in the bottle? Show your work. (5 points)
The given condition is- A bottle contains 20% milk and the rest water. The bottle has 1 liter of water.
Part A:
Let the amount of mixture in the bottle be = x ; mixture will be amount of water plus milk
Given is- the bottle has 1 liter of water and 20% is milk. 20% is 0.2
Hence equation will be:
[tex]0.2x+1 =x[/tex]
Part B:
Solving the equation
[tex]x-0.2x=1[/tex]
[tex]0.8x=1[/tex]
[tex]x=\frac{1}{0.8}[/tex] = 1.25
Hence, total mixture is 1.25 liters.
Water is 1 liter so milk will be = [tex]1.25-1=0.25[/tex]
Or it can also be solved using milk percentage of 0.2%
[tex]0.2*1.25=0.25[/tex]
Hence, milk is 0.25 liter
Chris wants to tip 15 percent to the waiter at a restaurant. If his meal is $19.50, how much should he tip the waiter?
15% is written as 0.15 in decimal format.
Multiply the cost of the meal by 0.15.
19.50 x 0.15 = 2.925, which would round to $2.93
The tip is $2.93
To calculate a 15% tip for a $19.50 meal, convert 15% to decimal form (0.15), multiply by the cost of the meal ($19.50), and round to the nearest cent, resulting in a $2.93 tip.
Chris wishes to tip 15 percent to the waiter for his meal which costs $19.50. To calculate the amount of the tip, we need to convert the percentage to a decimal and then multiply it by the cost of the meal. Here's how you can do it:
Convert the tip percentage to a decimal: 15% ightarrow 0.15.
Multiply the decimal by the total cost of the meal: $19.50 imes 0.15.
The calculation gives us the tip amount: $2.925.
Since it's difficult to leave a fraction of a cent as a tip, we would round this to the nearest cent, giving us $2.93.
Therefore, Chris should tip $2.93 to the waiter.
Lea buys 6 model cars that each cost 15$. She also buys 4 bottles of paint that each cost $11. How much does lea spend on model cars and paint?
Lea spends $134 on model cars and paint.
Explanation:To find out how much Lea spends on model cars and paint, we need to calculate the total cost of each item and then add them together. The cost of 6 model cars is 6 x $15 = $90. The cost of 4 bottles of paint is 4 x $11 = $44. Adding these two amounts together, Lea spends $90 + $44 = $134 on model cars and paint.
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Points c, a and b are collinear. Which of the following are opposite rays
Answer:
Ac and ad
Step-by-step explanation:
The following are opposite rays; AC and AD. so option B is correct answer.
What do you mean by collinear?For points to be collinear means they lie on the same line. A rays to be opposite, they should be in the same line making a 180° or a straight line with each other.
A Coplanar means the points lie in the same plane. For these rays to be opposite and collinear the points should lie in the same plane.
Given; Points c, a and b are collinear.
A, B, C are coplanar and also A, B, C are collinear.
The following are opposite rays; AC and AD. so option B is correct answer.
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The annual tuition at a public two-year college last year was $3,200. For the new school year, Elizabeth’s first year in college, the tuition is expected to increase 5%. She saved the same amount monthly to prepare for the cost of her tuition. What is the minimum amount Elizabeth should have saved monthly during the previous year?
$267
$280
$308
$400
Elizabeth had to save $280 each month.
The correct option is (2).
What is Percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics.
As per the given data:
The annual tuition at a public two-year college last year was $3,200.
Expected growth in the tuition fee = 5%
We have to find the amount Elizabeth should have saved monthly during the previous year to pay her tuition fees.
For finding the increase in tuition fee:
= 5% of 3200
= (5/100) × 3200
= $160
Tuition fees after growth = 3200 + 160 = $3360
Amount Elizabeth had to save each month = Tuition fees after growth/12
= 3360/12
= $280
Elizabeth had to save $280 each month.
Hence, Elizabeth had to save $280 each month.
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Please help and show work!! Will mark brainliest!!
Step 1. Use Multiplication Distributive Property
2^2x^2y^2 * -3x^2 * 4y^4
Step 2. Simplify 2^2 to 4
4x^2y^2 * -3x^2 * 4y^4
Step 3. Take out the constants
(4 * -3 * 4)x^2x^2y^2y^4
Step 4. Simplify 4 * -3 * 4 to -48
-48x^2x^2y^2y^4
Step 5. Use product rule: x^a x^b = x^a + b
-48x^2 + 2 y^2 + 4
Step 6. Simplify 2 + 2 to 4
-48x^4y^2 + 4
Step 7. Simplify 2 + 4 to 6
-48x^4y^6
What is the x coordinate of the solution to the system?
-2x+6y=-38
3x-4y=32
I tried both linear combination and substitution, but I can't eliminate any variables. I know I'm doing something wrong, but I don't know what.
-2x + 6y = -38 ⇒ 3(-2x + 6y = -38) ⇒ -6x + 18y = -114
3x - 4y = 32 ⇒ 2(3x - 4y = 32) ⇒ 6x - 18y = 64
0 = 50
FALSE
False statement means there are no solutions.
Answer: No Solution
We will solve this system with method of opposing coefficients - Gaussian algorithm
-2x+6y= -38
3x-4y= 32
We will divide first equation with number 2 and get
-x+3y = - 19
then we will multiply the same equation with number 3 and get
-3x+9y = - 57
We will overwrite the second equation below the last one and get next equivalent system
-3x+9y = - 57
3x-4y = 32
We add first equation to the second and get
5y = -25 => y= -25/5 => y= -5
Now we will replace variable y= -5 in the equation -x+3y = - 19 and get
-x+3(-5) = -19 => -x-15 = -19 => x- 19-15=4 => x=4
The correct answer is (x,y) = (4,-5)
We can check in the first equation and get
-2*4+6*(-5) = -38
-8-30 = -38
-38 = -38 We get equality, the solutions are correct.
This system have one real solution.
Good luck!!!
Jill just made a purchase online. The store that she bought from gave her the option to pay with a check, money order, or credit card. The item will not be shipped until her payment arrives. Why would Jill want to use a credit card instead of a money order or check?
If Jill pays with a credit card, her payment will be recorded immediately. This means that the item could be shipped almost as soon as she pays for it. On the other hand, if she uses a check or money order, then her payment will take a while to be received, as she would have to send the physical item over the mail. Therefore, she would receive her package earlier if she paid with a credit card.