X^2 + 5x + c find the value of c that makes each trinomial a perfect square
To make the trinomial a perfect square, we can complete the square. The value of c that makes the trinomial a perfect square is c = 25/4.
Explanation:To make the trinomial a perfect square, we need to find the value of c. We can do this by completing the square. The trinomial can be written as x² + 5x + c = (x + a)², where a is a constant. Expanding the right side, we get x² + 2ax + a² which is equal to x² + 5x + c. Comparing the coefficients of x, we have 2a = 5. Solving for a, we get a = 5/2. Substituting this value back into the expression, we have x² + 5x + (5/2)² = (x + 5/2)². Therefore, the value of c that makes the trinomial a perfect square is c = (5/2)² or c = 25/4.
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#10 plz explain I did it and got -8 and I know that's wrong
Solve for x.
4/5 = 7/x
What is the ratio of the number of cups of apple juice to the number of cups of lemon-lime soda?
1:24
24:1
1:6
6:1
I'm 100% sure the answer is D
What is the surface area of the prism
complete a table for the rule y = x2 + 2. Use negative and positive values and 0 for x
Table:
| x | y = x^2 + 2 |
|----|-------------|
|-3 | 11 |
|-2 | 6 |
|-1 | 3 |
| 0 | 2 |
| 1 | 3 |
| 2 | 6 |
| 3 | 11 |
let's complete a table for the rule [tex]\( y = x^2 + 2 \)[/tex] by plugging in various values of [tex]\( x \)[/tex], including negative, positive, and zero, and then calculating the corresponding values of [tex]\( y \)[/tex] .
Given the rule [tex]\( y = x^2 + 2 \)[/tex], we'll substitute different values of [tex]\( x \)[/tex] into the equation and solve for [tex]\( y \)[/tex]. Here's a step-by-step process:
1. Choose values for [tex]\( x \)[/tex]. Let's pick a range of values, including negative, positive, and zero, to get a good representation of the function.
2. Substitute each chosen value of [tex]\( x \)[/tex] into the equation [tex]\( y = x^2 + 2 \)[/tex].
3. Calculate the corresponding value of [tex]\( y \)[/tex] by performing the arithmetic operations.
4. Record the pairs of [tex]\( x \)[/tex] and [tex]\( y \)[/tex] values in a table.
Here's the completed table:
| [tex]\( x \) | \( y = x^2 + 2 \)[/tex] |
|---------|-----------------|
| -3 | [tex]\( (-3)^2 + 2 = 9 + 2 = 11 \)[/tex] |
| -2 | [tex]\( (-2)^2 + 2 = 4 + 2 = 6 \)[/tex] |
| -1 | [tex]\( (-1)^2 + 2 = 1 + 2 = 3 \)[/tex] |
| 0 | [tex]\( (0)^2 + 2 = 0 + 2 = 2 \)[/tex] |
| 1 | [tex]\( (1)^2 + 2 = 1 + 2 = 3 \)[/tex] |
| 2 | [tex]\( (2)^2 + 2 = 4 + 2 = 6 \)[/tex] |
| 3 | [tex]\( (3)^2 + 2 = 9 + 2 = 11 \)[/tex] |
This table shows the relationship between [tex]\( x \)[/tex] and [tex]\( y \)[/tex] for the given rule [tex]\( y = x^2 + 2 \)[/tex], covering a range of values for [tex]\( x \)[/tex] including negative, positive, and zero.
what is the area of the figure on the coordinate plane below?
Which of the following is the converse of the statement "if it is snowing, then it is my Birthday?
A welder orders argon gas and pure oxygen. The distributor requires a minimum order of $250. A cubic foot of argon gas costs $0.75 and a cubic foot of pure oxygen costs $0.50. To summarize the situation, the welder writes the inequality: 0.75a + 0.5p ≥ 250, where a is the number of cubic feet of argon gas and p is the number of cubic feet of pure oxygen. Which graph's shaded region shows the possible combinations of argon gas and pure oxygen the welder can buy?
Answer: Its the Last one
Step-by-step explanation:,,,, HOPE it helps :}
The length of the sides of a triangle are three consecutive integers. If the perimeter is 87, find the dimensions of the triangle. Show all work.
What is another way to write 5(n-3)
convert a 30% markup percent on cost to markup percent on selling price. (round to the nearest hundredth percent)
Answer:
23.08 %
Step-by-step explanation:
Markup price is the difference between the selling price and cost price of an item.
m = Markup = 30
s = Selling price = 130
[tex]\text{Markup percent on selling price}=\frac{m}{s}\times 100\\\Rightarrow \text{Markup percent on selling price}=\frac{30}{130}\times 100\\\Rightarrow \text{Markup percent on selling price}=23.08\ %[/tex]
∴ Markup percent on selling price is 23.08 %
What is the value of y in the equation 2 + y = −3 ?
Evaluate the expression 5m – 6 for m = 7. 29 41 5 51
When m = 7, the expression 5m - 6 evaluates to 29.
To evaluate the expression 5m - 6 for m = 7, we substitute m with 7:
5m - 6 = 5(7) - 6
Next, we perform the multiplication first:
5(7) = 35
Now we can substitute the value into the expression:
5m - 6 = 35 - 6
Finally, we perform the subtraction:
35 - 6 = 29
Therefore, when m = 7, the expression 5m - 6 evaluates to 29.
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A wall in Marcus's bedroom is feet high and feet long. If he paints of the wall blue, how many square feet will be blue?
To find the square footage of a wall painted blue, you would first calculate the total size of the wall by multiplying the wall's height and length. Then, you would multiply this number by the proportion of the wall you plan to paint blue. This will give you the number of square feet that will be coloured blue.
Explanation:This question pertains to the mathematical concept of resolving problems involving areas and percentages. Marcus's wall's total area can be calculated by multiplying the wall's length and height. However, since the measurements have not been provided in the question, let's assume their values to be 'L' and 'H' feet respectively. The area of the wall would then be simply H*L square feet.
Now, if Marcus decides to cover a certain percentage of this wall with blue paint, we must determine the total square feet being painted. If the proportion of the wall to be painted is 'P', the blue-painted area is given by H*L*P (P being a decimal representation of the given percent, i.e., 20% would be represented as 0.20).
Therefore, the number of square feet that will be blue is the product of the total wall area and the proportion to be painted blue.
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YOU HAVE TO BE SURE ABOUT YOUR ANSWER BEFORE YOU POST! A slice is made parallel to the base of a right rectangular pyramid, as shown.
What is the area of the resulting two-dimensional cross-section?
Enter your answer in the box.
Answer:
[tex]7\ mm^{2}[/tex]
Step-by-step explanation:
we know that
The area of the resulting two-dimensional cross-section is the area of a rectangle
The area of a rectangle is equal to
[tex]A=bh[/tex]
we have
[tex]b=3.5\ mm[/tex]
[tex]h=2\ mm[/tex]
substitute
[tex]A=3.5*2=7\ mm^{2}[/tex]
Please put these in the correct order
A recent survey reveals that of the 250 poodle owners interviewed, 93% of them regularly groom their dogs. If there are 50,000 registered poodle owners in the city, how many owners are expected to regularly groom their dogs?
A. 46,500
B. 93
C. 3,500
D. 7
Given the following three measures of angles or sides, determine if it is possible to construct a unique triangle, more than one triangle, or no triangle.
sides 5 inches, 8 inches, and 15 inches
A) no triangle
B) a unique triangle
C) more than one triangle
D) the answer cannot be determined
Answer:
The answer is no triangle
Step-by-step explanation:
i put this answer on my test and i got it right.
Graph the linear equation find three points that solve the equation then plot on the graph 2y=-x+2
Answer:
Step-by-step explanation:
A small business examines the income of 10 random households to determine if the community will be a good location for a store. Four of the households have an income between $30,000 - $55,000. Five of the households have an income between $70,000 - $100,000. One household has an income of over $700,000. Using the data obtained, which measure of central tendency will be greatly over-estimated?
A) mean
B) mode
C) median
D) None of the measures will be greatly over-estimated.
Answer:
mean trust me
Step-by-step explanation:
The tax rate on Jerome James 112000 vacation home is 25 Mills the property is assessed at full value how much will Jerome pay in taxes this year
Answer: $2,800
Step-by-step explanation:
Given: The assessment value of Jerome's home= [tex]$112,000[/tex]
We know that to calculate the property tax, we need to multiply the assessment value of the property by the mill rate and then divide by 1,000.
Then, the property tax is given by :-
[tex]\text{Property tax}=\dfrac{\$112,000\times25}{100}\\\\\Rightarrow=\text{Property tax}=\$2,800[/tex]
Therefore, Jerome pay $2,800 as property tax in this year.
Answer:
[tex]Property tax=$2800[/tex]
Step-by-step explanation:
Given: The assessment value of Jerome's home is given as =[tex]112000[/tex]
Solution: Since we know that in order to calculate the property tax, we need to multiply the assessment value of the property by the mill rate and also divide by [tex]1000[/tex].
Then, the property tax is given as :-
[tex]Property tax=\frac{112000{\times}25}{100}[/tex]
[tex]Property tax=$2800[/tex]
Thus, Jerome pay $2,800 as property tax in this year.
In a triangle, the sum of two of the angles is equal to the third. If the lengths of the two longer sides are 12 and 13, what is the length of the shortest side?
The tennis team is selling tickets to a car wash for $6.When they do not sell very many tickets,the team decreases the price 25% what is the new cost of the ticket?
what point is on the graph of every direct variation equation
In a direct variation equation, the graph passes through the origin (0,0). Every point on the graph can be represented as (kx, ky), where k is a constant.
Explanation:In a direct variation equation, the graph passes through the origin (0,0). This means that when x=0, y=0. Every point on the graph can be represented as (kx, ky), where k is a constant. For example, if the direct variation equation is y = 2x, the graph would pass through (0,0), (1,2), (2,4), (3,6), and so on.
Jordan is calculating the slope of the trend line in the scatterplot below.
How can Jordan use the plot to check the reasonableness of his answer?
His slope should be positive because the coordinates of all the plotted points are positive.
His slope should be positive because the trend line is slanted up to the right.
His slope should be negative because there are plotted points not on the line.
His slope should be negative because the x-coordinate of each plotted point is less than the y-coordinate.
Answer: B
His slope should be positive because the trend line is slanted up to the right.
Step-by-step explanation:
from left to right the line is increasing upward so it is positive so this means both of the bottom answers are wrong. answer A. is wrong because even slopes that are negative have all points positive sometimes so this is not a valid reason. therefore this leaves us with the answer B, which is correct.
His slope should be positive because the trend line is slanted up to the right. which is the correct answer would be an option (B).
What is the Scatter plot?The variables in the scatter plot made from the data are described by the independent variable, time, which is graphed along the horizontal axis.
Jordan is calculating the slope of the trend line in the given scatterplot.
As per the given scatter plot, the required solution would be as:
Take two points (1,24) and (8,96)
So, slope = (96-24)/(8-1) = 72/7 = 10.28
The line is moving upward from left to right, hence it is positive, implying that both of the bottom solutions are incorrect. Answer A. is incorrect since even negative slopes can have all points positive at times, hence this is not a legitimate argument.
As a result, we are left with solution B, which is accurate.
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big points+ brainiest
Sorry me again how do I do this?
In a division problem the ____ is the original number, which is being divided by the divisor, to get the quotient.
Solve this problem - 35q = 5