Answer:
Yes, it is in Standard Form.
Step-by-step explanation:
A linear function in Standard Form would look like:
Ax + By = C
where A, B, and C are real numbers.
A good way to check if a linear function is in Standard Form is by checking if the only the variables and coefficients found on one side of the equation and a real number is found by itself on the other side.
The linear function, -x + 4y = 5, has only the variables and coefficients on the left side of the function, and a real number (5) by itself on the right side.
The linear function, -x + 4y = 5, is in Standard Form.
I hope this helps. :)
Lee Jenkins worked the following hours as a manager for a local Pizza Hut: 82,61,7
and 73
How many total hours did Lee work?
Answer:
223 hours
Step-by-step explanation:
Total hours worked by Lee = sum of all the hours worked
That’s
82 + 61 + 7 + 73 = 223 hours
Therefore, Lee worked 223 hours as manager for the local Pizza Hut
Lee Jenkins worked a total of 223 hours by adding the given values of 82, 61, 7, and 73 hours.
Explanation:In this problem, we need to find out how many total hours did Lee work by summing up all the hours given in the problem. The hours worked as given in the problem are 82, 61, 7, and 73. To find the total hours worked, we simply add these values.
The addition becomes 82 + 61 + 7 + 73 = 223
Therefore, Lee Jenkins worked a total of 223 hours as a manager at a local Pizza Hut.
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Quadrilateral ABCD is inscribed in this circle.
What is the measure of ∠A ?
Enter your answer in the box.
The measure of ∠A is 137°.
Solution:
Given data:
Angle A = 43°
A quadrilateral inscribed in a circle is called cyclic quadrilateral.
∠A and ∠C are opposite angles in a cyclic quadrilateral.
In cyclic quadrilateral, opposite angles are supplementary.
⇒ m∠A + m∠C = 180°
⇒ 43° + m∠A = 180°
Subtract 43° from both sides of the equation, we get
⇒ m∠A = 137°
Hence the measure of ∠A is 137°.
A line passes through the points(-9,-9) and (-6,-6)
Fine the slope of the line
Answer:
Slope of the line = 1
Step-by-step explanation:
A line with two points, we are asked to find the slope
We are using the formula
m = (y_2 - y_1) /( x_2 - x_1)
We are provided with some points
( -9 , -9) ( -6 , -6)
x_1 = -9
y_1 = -9
x_2 = -6
y_2 = -6
Insert the values into the equation
m = (y_2 - y_1) / (x_2 - x_1)
m = ( -6 - (-9)) / ( -6 - (-9))
Hint: - * - = +
m =( -6 + 9) / ( -6 + 9)
= 3 / 3
= 1
Slope m = 1
Therefore, the slope of the line = 1
3/16 Problem Of The Day:
The following expression represents the school’s cost for 6 students to attend an after school event.
6(2k + 5) - 20
Part A: Simplify the expression using the Distributive Property.
Part B: If k = $12.50, what is the school’s cost for the event?
Answer:
A) 12k + 10
B) $160
Step-by-step explanation:
6(2k + 5) - 20
12k + 30 - 20
12k + 10
k = 12.5
12(12.5) + 10 = 160
Answer:
12k +10
Final cos = 160
Step-by-step explanation:
6(2k + 5) - 20
Distribute the 6
6*2k + 6*5 -20
12k +30 -20
12k +10
Let k =12.5
12*12.5 +10
150 +10
160
A triangle has the dimensions shown. The perimeter of
the triangle would be represented by which type of
expression?
linear expression
4x – 2
quadratic expression
exponential expression
rational expression
3x + 1
Answer:
A. linear expression
Step-by-step explanation:
Just got it right on the test.
Answer:
A
Step-by-step explanation:
edg
5(y+1)=30 solve for y
Answer:y=5
Step-by-step explanation:
5(y+1)=30
Divide both sides by 5
5(y+1)/5=30/5
We get y+1=6
Subtract 1 from both sides
y+1-1=6-1
We get y=5
Reyna has 7 coins worth 5 cents each and 3 coins worth 10 cents each.
If she chooses two of these coins at random, what is the probability
that the two coins together will be worth at least 15 cents?
Answer:
1/5
Step-by-step explanation:
because there is 10 coins and two specific coind you are trying to get and 2/10 simplified is 1/5
The probability that the two randomly selected coins from Reyna's collection will total at least 15 cents is 8/45.
Probability Calculation
To determine the probability that Reyna's two randomly selected coins will total at least 15 cents, we must first calculate the total number of possible outcomes when choosing two coins from the ten that she has (7 nickels and 3 dimes).
Using the combination formula, which is C(n, k) = n! / [k!(n-k)!], we find that the total number of ways to choose 2 coins from 10 is C(10, 2) = 10! / (2!8!) = 45.
The favorable outcomes in this scenario are cases where Reyna picks either two dimes or one nickel and one dime. There is only one way to pick two dimes, and there are 7 ways to pick one nickel and one dime (because she could pick any of her 7 nickels along with one of the 3 dimes). So, there are 7 + 1 = 8 favorable outcomes.
The probability of picking coins that total at least 15 cents becomes the number of favorable outcomes divided by the total number of outcomes, which is 8/45.
Therefore, the probability that the two coins together will be worth at least 15 cents is 8/45.
Need help with this ASAP not good with angles. Will mark brainliest for first actual answer!
Step-by-step explanation:
[tex] m \angle \: a + 80 \degree = 180 \degree \\ (linear \: pair \: \angle s) \\ \therefore \: a = 180 \degree - 80 \degree \\ \huge \red { \boxed{\therefore \: a = 100 \degree}} \\ \\ \huge \purple { \boxed{m \angle \: b = 80 \degree }} \\ (corresponding \: \angle s) \\ \\ m \angle \: c=m \angle \: a \\ (vertical \: \angle s) \\\huge \orange { \boxed{ \therefore \: m \angle \: c = 100 \degree}}[/tex]
PLZ HELP!!!!!!!! due in 30 minutes im timed!
Answer:
For x=20: difference is 22
Step-by-step explanation:
For f: y increased 5 units (from 1 to 6) when x went from 0 to 10. Being linear, when x=20, f will increase with another 5 units, being 6+5=11.
For g: g(20)=1.5×20+3=33
So, for x=20, f(20)-g(20)=11-33=-22
So the difference is 22.
10-ounce package of cashews costs $8.11, and a 16-ounce package of cashews costs $12.
a. What is the cost per ounce for the 10-ounce package of cashews?
b. What is the cost per ounce for the 16-ounce package of cashews?
c. Which package is the better buy?
a. $0.811
b. $0.75
c. 10-ounce package of cashews costs $8.11 is better then a 16-ounce package of cashews costs $12
Step-by-step explanation:
Here we have , 10-ounce package of cashews costs $8.11, and a 16-ounce package of cashews costs $12.
a. What is the cost per ounce for the 10-ounce package of cashews?
cost per ounce for the 10-ounce package of cashews = [tex]\frac{8.11}{10}[/tex]
cost per ounce for the 10-ounce package of cashews = $[tex]0.811[/tex]
b. What is the cost per ounce for the 16-ounce package of cashews?
cost per ounce for the 16-ounce package of cashews = [tex]\frac{12}{16}[/tex]
cost per ounce for the 16-ounce package of cashews = $[tex]0.75[/tex]
c. Which package is the better buy?
10-ounce package of cashews costs $8.11 is better then a 16-ounce package of cashews costs $12 , because cost per ounce for the 10-ounce package of cashews = $[tex]0.811[/tex] is greater then cost per ounce for the 16-ounce package of cashews = $[tex]0.75[/tex]
The cost per ounce for the 10-ounce package of cashews is $0.811, and the cost per ounce for the 16-ounce package is $0.75. The 16-ounce package is the better buy.
Explanation:a. To find the cost per ounce for the 10-ounce package of cashews, we divide the total cost by the number of ounces. $8.11 ÷ 10 ounces = $0.811 per ounce.
b. To find the cost per ounce for the 16-ounce package of cashews, we divide the total cost by the number of ounces. $12 ÷ 16 ounces = $0.75 per ounce.
c. The better buy is the package with the lower cost per ounce. Therefore, the 16-ounce package of cashews is the better buy.
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the perimeter of an equilateral triangle is givn as 15x+30. write two different expressions to represent the perimeter. use factoring to write one of the expressions
Answer:
15x+30 ; 15(x+2)
Step-by-step explanation:
You can write it as it is:
15x+30
OR
15(x+2)
where does the line y= -3x+7 cross the y-axis
Answer:
(0, 7 )
Step-by-step explanation:
Where the line crosses the y- axis the x- coordinate of the point is zero.
Substitute x = 0 into the equation and evaluate for y
y = - 3(0) + 7 = 0 + 7 = 7 ⇒ (0, 7 )
Phillip has $2,000 and spends $23.75 on supplies. He divides the remaining amount equally among his employees. How much does each employees receive
Each employees receive an amount of $1976.25 / n
Explanation:
Amount of money that Philip has,(we can represent as A) = $2000
Spends, (We can represent as s) = $23.75
Divides the rest equally among each employees.
Let the number of employees = n
To find the amount of money
Money left = A - s
= $2000 - $23.75
= $1976.25
Each employees receive = $1976.25 / n
Therefore ,Each employees receive an amount of $1976.25 / n.
The graph of the equation x^2+6x+y^2-16y=-9 is a circle. Choose True or False for each statement
A. The center of the circle is (3,-8). (true or false?)
B. The circle is tangent to the x-axis. (true or false?)
C. The circle has a radius of 64. (true or false?)
Answer:
see the explanation
Step-by-step explanation:
we have
[tex]x^2+6x+y^2-16y=-9[/tex]
Convert the equation of the circle in center radius form
Group terms that contain the same variable
[tex](x^2+6x)+(y^2-16y)=-9[/tex]
Complete the square twice. Remember to balance the equation by adding the same constants to each side
[tex](x^2+6x+9)+(y^2-16y+64)=-9+9+64[/tex]
[tex](x^2+6x+9)+(y^2-16y+64)=64[/tex]
Rewrite as perfect squares
[tex](x+3)^2+(y-8)^2=8^2[/tex]
The center of the circle is (-3,8)
The radius of the circle is 8 units
Verify each statement
A. The center of the circle is (3,-8).
False
The center of the circle is (-3,8)
B. The circle is tangent to the x-axis
True
The circle is tangent to x=5 and x=-11 and is tangent to y=0 and y=16
Remember that y=0 is the x-axis
C. The circle has a radius of 64
False
The radius of the circle is 8 units
What is the slope of the line that passes through the points (-2,-4) and (3,5)
Answer:
the slope is 1.8
Answer:
The slope is 1.8
Step-by-step explanation:
m=9/5=1.8
5. Find the measure of angle A
Answer:
where is the angle if angle is not there nobody can answer this question.
If both figures have the same perimeter what is the perimeter of each figure,
Yo sup??
perimeter of figure 1 is
2(x+x+5)=2(2x+5)
perimeter of figure 2 is
3x+22
now
4x+10=3x+22
x=12
Hope this helps
Answer:
The correct answer is 58.
Hope this helped!
Which statement about the point (2,0) is true?
Answer:
It is on the x - axis
Step-by-step explanation:
Point (2, 0) lie on the x axis
Answer:
It is on the X axis
Step-by-step explanation:
The horizontal line is the x axis and the x coordinate is always given first (x, y) or in this case (2, 0)
Please provide steps
Answer:
623 mm
Step-by-step explanation:
Divide the figure into two separate figures and then add the ares together. To do this, the bottom nust be a rectangle and the top a square. The dimensions of the rectangle will be 32 x 15 since the opposite sides of a rectangle are always equivalent. The dimensions of the top shape are 13 x 11 since the 26 - 15 = 11.
So now find the area of the rectangles and add them together:
15 x 32 = 480
13 x 11 = 143
143 + 480 = 623
The area of the figure is 623 mm
Suppose 40 people come to your
party. If 15% of your guests arrive
early, how many people arrive early?
Step-by-step explanation:
15% as a decimal is 0.15
40*0.15 is 6
6 guests arrive early
6 people arrive early to the party.
Calculating the Number of People Who Arrive Early to a Party
To calculate the number of people who arrive early to a party where 40 people are expected, we use the given percentage of guests that arrive early, which in this case is 15%. The calculation process is straightforward:
Convert the percentage to a decimal by dividing by 100, which gives us 0.15.
Multiply the decimal by the total number of people expected at the party to find the number of people who arrive early.
So, the calculation is:
0.15 x 40 = 6
Therefore, 6 people arrive early to the party.
Order these numbers from least to greatest: 3.4 ,7 ,-3.5 ,-3
Answer: -3.5, -3, 3.4, 7
Step-by-step explanation: If you put it on a number line, this would be the order these integers go in!
I need help with number 7 please.
Answer:
lengths, CW from lower left vertical: 2, 5, 6, 3, 2, 2, 1, 5, 4perimeter: 30 mStep-by-step explanation:
The figure appears to be drawn roughly to scale, so that fact can offer clues.
The triangles both have hypotenuses of 5. The only integer lengths for sides that will give a hypotenuse of 5 are side lengths 3 and 4. Right triangles with side lengths 3 and 4 will have an area of (1/2)(3)(4) = 6.
The rectangle at lower left will not have a side length of 3, so its width is 4. Since its area is 8 (width × height), the height of it must be 2. (The rectangle dimensions must be factors of 8.)
The vertical side of the left triangle is then 3. It appears to be divided so the upper segment (the side of the rectangle of area 6) is 1 and the lower segment (part of the right triangle vertical side) is 2.
Then the vertical side of the right triangle is 4, and its horizontal side (left half of the bottom of the upper rectangle) is 3.
Since the height of the upper rectangle is 1, its width must be 6. Then the little tab hanging down on the right must be 2 by 2 (for an area of 4).
Altogether, we have found the lengths to be as marked in the attachment.
___
Summary
The perimeter lengths, CW from the lower left vertical, are ...
2, 5, 6, 3, 2, 2, 1, 5, 4 . . . . meters
The perimeter is their total: 30 m.
To win a bowling trophy, you need a 3 game total score of at least 500.on the first two games,your scores are 183 and 165.what score do you need on game 3?
Answer:
Step-by-step explanation:152
You would need 152 points on game 3
Determine the center and radius of the following circle equation:
x2 + y2 – 12x – 18y + 108 = 0
Center:
Radius:
Pls help :)
Answer:
(6, 9 ) and r = 3
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² - 12x - 18y + 108 = 0
Rearrange the x- terms and the y- terms together and subtract 108 from both sides, that is
x² - 12x + y² - 18y = - 108
To obtain standard form use the method of completing the square
add ( half the coefficient of the x and y terms )² to both sides
x² + 2(- 6)x + 36 + y² + 2(- 9)y + 81 = - 108 + 36 + 81
(x - 6)² + (y - 9)² = 9 ← in standard form
with centre = (6, 9 ) and r = [tex]\sqrt{9}[/tex] = 3
Graph y=-2x+4 and y=-6x what are the intersections points for x and y
Answer:
The graph is attached.
The intersection point: [tex](-1,6)[/tex]
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
[tex]y=mx+b[/tex]
Where "m" is the slope and "b" is the y-intercept.
When the line passes through the origin, the equation is:
[tex]y=mx[/tex]
Where "m" is the slope of the line.
Given the following equation of the line in Slope-Intercept form
[tex]y=-2x+4[/tex]
You notice that:
[tex]m=-2\\\\ b=4[/tex]
Knowing the slope and the y-intercept, you can graph it.
The other line is:
[tex]y=-6x[/tex]
As you can identify, this line passes through the origin and its slope is:
[tex]m=-6[/tex]
Then, you can graph it.
Observe the graph attached.
You can identify that the point in which both lines intersect, is:
[tex](-1,6)[/tex]
Prove algebraically what type of function this is (even, odd, or neither).
The given function is even.
Solution:
Given function:
[tex]f(x)=x^{6}-x^{4}[/tex]
If f(-x) = -f(x), then the function is odd.
If f(-x) = f(x), then the function is even.
[tex]f(x)=x^{6}-x^{4}[/tex]
Substitute x = -x
[tex]f(-x)=(-x)^{6}-(-x)^{4}[/tex]
[tex]=x^{6}-x^{4}[/tex]
= f(x) (given)
f(-x) = f(x)
From the definition, it is even.
Hence the given function is even.
Lily saved 16 coins. She saved ten-can and one-dollar coins only. If she had $5.20, how many ten-cent coins did she have?
____ten-cent coins
Answer:
12
Step-by-step explanation:
Let d represent the number of dimes Lily saved. Then the value of her coins in cents is ...
10d +100(16-d) = 520
-90d +1600 = 520 . . . . . eliminate parentheses, collect terms
-90d = -1080 . . . . . . . . . . subtract 1600
d = -1080/-90 = 12 . . . . . divide by the coefficient of d
Lily has 12 ten-cent coins.
What are the coordinates for the vertices of the figure? *show your work*
The coordinates for the shape are;
a = (0, 0), b = (a, 0), c = (a, a), and d = (0, a).
Step-by-step explanation:
Step 1:
First, we must assign letters to the four vertices of the given shape.
Assume the lower-left vertex is a, the lower-right vertex is b, the upper-right vertex is c and the upper-left vertex is d.
So the vertices for the shape are a, b, c, and d.
Step 2:
The coordinates for a point on a graph is given by (x coordinate, y coordinate).
So we need to determine the x and y coordinates for the four points on the shape abcd.
Step 3;
The x coordinate for vertex a = 0, the y coordinate for vertex a = 0,
so the coordinates of vertex a = (0, 0).
The x coordinate for vertex b = a - 0 = a, the y coordinate for vertex b = 0,
so the coordinates of vertex b = (a, 0).
The x coordinate for vertex c = a- 0 =a, the y coordinate for vertex c = a- 0= a, so the coordinates of vertex c = (a, a).
The x coordinate for vertex d = 0, the y coordinate for vertex d = a - 0 =a,
so the coordinates of vertex d = (0, a).
What two numbers multiply to 27 and also add to -12
Answer:
-3, -9
Step-by-step explanation:
27 = 1*27 -1*-27
3*9 -3*-9
We want it to add to -12
The only choice is -3+-9 = -12
The two numbers are -3, -9
The two numbers that multiply to 27 and add to -12 are -3 and -9.
Explanation:The question is asking to find two numbers that multiply to give 27 and add to give -12. The fact that the product is positive and the sum is negative suggests that the two numbers in question are both negative because when two negative numbers are multiplied, the result is positive. To solve this, you need to think of the pairs of factors of 27, which are (1, 27) and (3, 9). Since we are looking for a sum of -12, the correct pair is (-3, -9) because -3 multiplied by -9 equals 27, and -3 plus -9 equals -12.
translate “a number x divided by 5 is at least -19” into a inequality
Answer: x/5 ≥ -19
Step-by-step explanation: