Answer:
All results in the explanation
Step-by-step explanation:
To make the equation of the line, we only need two points. Select from the table the points (-1,4) and (3,9).
First, find the slope of the line:
We know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]
Substituting:
[tex]\displaystyle m=\frac{9-4}{3+1}=\frac{5}{4}[/tex]
This value is used in the slope-point form of the line:
[tex]\displaystyle y-k=\frac{5}{4}(x-h)[/tex]
Where (h,k) is a point from the table, select for example (3,9):
[tex]\displaystyle y-9=\frac{5}{4}(x-3)[/tex]
Operate:
[tex]\displaystyle y=\frac{5}{4}\cdot x-\frac{5}{4}\cdot 3+9[/tex]
[tex]\displaystyle y=\frac{5}{4}\cdot x+\frac{-15+36}{4}[/tex]
The equation of the line is:
[tex]\boxed{\displaystyle y=\frac{5}{4}\cdot x+\frac{21}{4}}[/tex]
Now complete the table.
For x=0:
[tex]\displaystyle y=\frac{5}{4}\cdot 0+\frac{21}{4}[/tex]
[tex]y=\frac{21}{4}[/tex]
For x=15
[tex]\displaystyle y=\frac{5}{4}\cdot 15+\frac{21}{4}[/tex]
[tex]\displaystyle y=\frac{75}{4}+\frac{21}{4}=\frac{96}{4}=24[/tex]
y=24
For y=1.5, find x:
[tex]\displaystyle 1.5=\frac{5}{4}\cdot x+\frac{21}{4}[/tex]
Operate:
[tex]\displaystyle 1.5-\frac{21}{4}=\frac{5}{4}\cdot x[/tex]
Multiply by 4:
[tex]\displaystyle 6-21=5 x[/tex]
Solve:
[tex]x=-15/5=-3[/tex]
x=-3
Answer:
All results in the explanation
Step-by-step explanation:
To make the equation of the line, we only need two points. Select from the table the points (-1,4) and (3,9).
First, find the slope of the line:
We know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
\begin{gathered}\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\\\end{gathered}m=x2−x1y2−y1
Substituting:
\displaystyle m=\frac{9-4}{3+1}=\frac{5}{4}m=3+19−4=45
This value is used in the slope-point form of the line:
\displaystyle y-k=\frac{5}{4}(x-h)y−k=45(x−h)
Where (h,k) is a point from the table, select for example (3,9):
\displaystyle y-9=\frac{5}{4}(x-3)y−9=45(x−3)
Operate:
\displaystyle y=\frac{5}{4}\cdot x-\frac{5}{4}\cdot 3+9y=45⋅x−45⋅3+9
\displaystyle y=\frac{5}{4}\cdot x+\frac{-15+36}{4}y=45⋅x+4−15+36
The equation of the line is:
\boxed{\displaystyle y=\frac{5}{4}\cdot x+\frac{21}{4}}y=45⋅x+421
Now complete the table.
For x=0:
\displaystyle y=\frac{5}{4}\cdot 0+\frac{21}{4}y=45⋅0+421
y=\frac{21}{4}y=421
For x=15
\displaystyle y=\frac{5}{4}\cdot 15+\frac{21}{4}y=45⋅15+421
\displaystyle y=\frac{75}{4}+\frac{21}{4}=\frac{96}{4}=24y=475+421=496=24
y=24
For y=1.5, find x:
\displaystyle 1.5=\frac{5}{4}\cdot x+\frac{21}{4}1.5=45⋅x+421
Operate:
\displaystyle 1.5-\frac{21}{4}=\frac{5}{4}\cdot x1.5−421=45⋅x
Multiply by 4:
\displaystyle 6-21=5 x6−21=5x
Solve:
x=-15/5=-3x=−15/5=−3
x=-3
The function f(t) = |98.6-x|, represents a persons's variance from normal body temperature, where x represents a person's current body temperature in degrees Fahrenheit. Medical professionals say healthy individuals should have a variance of no more than 0.5 degrees Fahrenheit.
Answer:
98.1°F ≤ x ≤ 99.1°F
Step-by-step explanation:
Given the function:
f(x) = |98.6 - x|
Variance = 0.5
98.6°F - x = ± 0.5
Lower bound :
98.6 - 0.5 ≤ x
98.1 ≤ x
Upper bound :
x ≤ 98.6 + 0.5
x ≤ 99.1
Hence,
98.1°F ≤ x ≤ 99.1°F
Solve 9.1r - 4. lr - 14= -34
Answer:
Step-by-step explanations:
When the midpoints of a polygon with 14 sides are joined by the mid-segments, the resulting inscribed polygon will have how many sides? What if you inscribed another polygon inside the second polygon? How many sides would this new polygon have?
Answer:
im not sure if this is right or not but i think its 23
Step-by-step explanation:
What is the purpose of the AutoSum feature in Microsoft® Excel? A. To automatically add all numbers in all cells in a workbook B. To add a list of numbers in a spreadsheet C. To put a list of numbers in order before finding the sum D. To estimate the total of a list of numbers
Answer:
B. To add a list of numbers in a spreadsheet
Step-by-step explanation:
AutoSum feature in Microsoft Excel is used to automatically sum up a range of numbers within a horizontal row or vertical column without having to input a formula.
When a range of numbers are selected within a row or column, clicking on AutoSum will sum up the numbers in the adjacent empty cell. For example, if you wanted to add the values of cells between B1 and B10, highlight cells B1 through B10 and click the AutoSum button . The sum of B1 to B10 will be given in B11.
In Excel 2010 and later, the AutoSum feature is on the Home tab, in the Editing section.
Max and his brother exercise together. Max does half as many sit-ups as his brother does during a workout. If Max's brother does between 100 and 150 sit-ups, which expression describes s, the number of sit-ups that Max does?
A. 0 ≤ s ≤ 50
B. 50 ≤ s≤ 75
C. 100 ≤ s ≤ 150
D. 200 ≤ s ≤ 300
Answer:C is the correct answer,
Step-by-step explanation:
50 ≤ s≤ 75 describes the number of sit-ups that Max does so option (B) will be correct.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.
In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.
Max does "s" number of sit-ups then max brother will do "2s".
Now,
Given that,
Max's brother does between 100 and 150 sit-ups
So,
100 ≤ 2s ≤ 150
Divide by 2 into both sides
50 ≤ s ≤ 75
Hence " 50 ≤ s≤ 75 describes the number of sit-ups that Max does".
For more about inequality,
brainly.com/question/20383699
#SPJ2
A restaurant manager states the number of customers that enter the restaurant is equal to 4
times the number of people that buy a hotdog from the hotdog cart plus 11. The manager also
states that the number of customers that enter their restaurant is equal to 1 times the number of
people that buy a hotdog from the hotdog cart plus 38. What number of people buying a hotdog
from the hotdog cart across the street makes the equation 4x + 11 = 1x + 38 true? Round
your answer to the nearest whole number.
Answer:
9
Step-by-step explanation:
No of customers that enter the restaurant is equal to 4 times the number of people that buy a hotdog from the hotdog cart plus 11.
The number of customers that enter their restaurant is equal to 1 times the number of people that buy a hotdog from the hotdog cart plus 38.
The equation that shows the given condition,
4x + 11 = 1x + 38
x is the no of people
Taking the like terms,
4x-1x=38-11
3x=27
x = 9
So, there are 9 people buying a hotdog from the hotdog cart.
Zoe buys gummy bears that come in 3.53 once bags how many ounces of gummy bears are there win 3 bags?
Answer:
10.59
Step-by-step explanation:
3.53×3
1x + 2 - 3 = 8
what is x?
Answer:
x= Multiplication
Step-by-step explanation:
1 x +2 -3 =8
Answer:
x = 9
Step-by-step explanation:
Hope this helps
The graph shows the linear parent function . Which statement best describes the function?
A. The function is negative when x<0 and also when x>0
B.the function is never negative
C.the function is negative when x>0
D. The function is negative when x<0
Using function concepts, it is found that the correct option is given by:
D. The function is negative when x<0
How the sign of a function is determined?If the graph is above the x-axis, it is positive.If the graph is below the x-axis, it is negative.In this problem, the graph of the function is the red line, and:
For values of x < 0, the function is below the x-axis, hence it is negative.For values of x > 0, the function is above the x-axis, hence it is positive.Thus, option D is correct.
You can learn more about functions at https://brainly.com/question/25897115
what best describes the relationship between the lines with equations y + 3x = 10 and 2y = -6x + 4?
What is the value of x?
70°
12x + 14
Answer:
[tex] \frac{14 }{3} [/tex]
Step-by-step explanation:
12x=70-14=56
x=
[tex] \frac{56}{12} = \frac{14}{3} [/tex]
I need to simplify this one fast. please help!
I NEED HELP!! I WILL GIVE BRAINLIEST PLUS 15 POINTS
Answer:
the first one
Step-by-step explanation:
4) After solving a rational equation you must check your solutions in the
original equation. Why? *
To make sure the value does not make the numerator 0.
O
To make sure the value does not make the denominator 1.
O To make sure the value does not make the numerator negative.
To make sure the value does not make the denominator 0.
Answer: D) To make sure the value does not make the denominator 0.
We cannot divide by zero. Something like 1/0 is undefined. So it's important to check all potential solutions to make sure you don't get 0 in the denominator.
Translate the following into an equation:
"Six added to the product of a and three is two times the difference of a and nine."
Question 2 (1 point)
Identify which of the following situations does not represent
causation:
Ob
Kryptonite causes Superman to lose all his powers.
Temperatures of less than 32°F cause water to freeze.
Umbrellas cause rainstorms.
Stepping on the gas pedal causes a car to move faster.
Ос
Od
Next Page
Once you click Next Page you will not be able to change your answer
Type here to search
e
-)
Answer:
Umbrellas cause rainstorms.
Step-by-step explanation:
Due to all the others being correct, that means this is incorrrect, there are no umbrellas that cause rainstorms.
Plz help me I’ll give brainliest
Answer:
5/1
Step-by-step explanation:
find the value of the variable (3p-6)
Answer:1/3
Step-by-step explanation:
3p- -5=6
- and - becomes +
3p+5=6
transpose 5 to the other side
3p=6-5
because on transposing + becomes -
3p=1
p=1/3
because multiplication changes to addition on transposing
please mark me as brainly .
Tavon has a gist card for $145 that losses $3.50 for each 30-day period is not used. He has another gift card for $125 that losses $3 for each 30-day period it is not used. A. Write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal. B. What will the value of each card be when they have equal value?
Step-by-step explanation:
A. For Tavon's gift card the equation is
let y be the total amount
let x be the number of 30 day period
y=145-3.5x------1
for Tavon's second gift card the equation is
let y be the total amount
let x be the number of 30 day period
y=125-3x-------------2
B. equating 1 and 2 we have
145-3.5x=125-3x
solve for x we have
145-125=-3x+3.5x
20=0.5x
divide both sides by x we have
x=20/0.5
x= 40
put x=40 in
y=145-3.5*40------1
y=145-140
y=$5
put x=40 in
y=125-3*40------1
y=125-120
y=$5
A triangle has sides with lengths of 4 millimeters, 5 millimeters, and 8 millimeters. Is it a right triangle?
Answer: No its not a right angled triangle. Please mark as brainliest!
Answer:
Yes
Step-by-step explanation:4 mm and 5 mm are the A and B part of the triangle while the 8 mm is the hypotenuse
The quotient of a number and twelve is the sum of eight and the number.
Answer: n/12=8+n
Answer:
Step-by-step explanation:
12(n/12 = 8 + n)
n = 96 + 12n
-11n = 96
n = -96/11
Answer:
-96/11 or -8 8/11
Step-by-step explanation:
For this, create an equation, x/12=x+8.
Any number without a denominator has a denominator of 1, so x/12=(x+8)/1.
Now, cross multiply to get 1*x=12(x+8).
Simplify that to x=12x+96.
Subtract 12x from both sides, and you have -11x=96.
Divide by -11, and x=-96/11.
Ben and Jerry together own 75 comic books. If Ben owns 31 comic books, how many does Jerry own?
Answer:
44
Step-by-step explanation:
75-31=44
Answer:
44 books
Step-by-step explanation:
75-31=44
simple math
The perimeter of a worksheet is 48 inches. The worksheet is 14 inches long. How tall is it?
inches
Answer: 10 inches
Step-by-step explanation:
1. multiply 14 by 2 to get 28.
2. Subtract 28 from 48 to get 20
3. Divide 20 by 2 to get 10
your answer is 10
Answer: 10 inches
Step-by-step explanation:
a worksheet is usually a rectangle
the formula for the perimeter of a rectangle is 2x + 2y
Lets say that x = the length and y = the height
it already gives you x = 14, so plug everything in to find y
P = 2x + 2y
48 = 2(14) + 2y
48 = 28 + 2y plug in x = 14 and multiply
20 = 2y subtract 28 from both sides to get this
y = 10 then divide both sides by 2 to get the answer
Alonzo earns 8% commission on vacuum cleaner sales. This past month, Alonzo sold 70 units at $150.00 each. How much did Alonzo make in commissions for the past month? Explain how you found your answer.
Answer:
Made $840 in commissions for the past month.
Step-by-step explanation:
sales = 70 * 150 = 10500
commission = .08 * 10500 = 840
Answer:
$840
Step-by-step explanation:
8% = 0.08
.08 * 150 = 12 per unit sold
12 * 70 = 840.00
What is the value of x? What is the measure of angle 6? Show all of your work and/or explain your answer.
Answer:
1) 5 & 9
5=Corresponding Angle
9=Alternate Exterior Angle
2) 7 & 8
We know 4 is supplementary to 8. Since that is true, 7 & 8 are also.
8=Corresponing angle to 4
7=Verticle angle to 8
3) We know 1 and 3 equal 180
x-20+x+40=180
2x+20=180
2x=180-20
2x=160
x=80
<2=X+20
=80+20
=100
Angle 2 is the same as angles 5 and 6 added together.
We know angle 5 is the same as angle 1 (corresponding angles).
<1=X-20
=80-20
=60
Now that we know <2=100 and <5=60, we can figure out <6
100-60=40
<6=40°
Step-by-step explanation:
1) 5 & 9
5=Corresponding Angle
9=Alternate Exterior Angle
2) 7 & 8
We know 4 is supplementary to 8. Since that is true, 7 & 8 are also.
8=Corresponing angle to 4
7=Verticle angle to 8
3) We know 1 and 3 equal 180
x-20+x+40=180
2x+20=180
2x=180-20
2x=160
x=80
<2=X+20
=80+20
=100
Angle 2 is the same as angles 5 and 6 added together.
We know angle 5 is the same as angle 1 (corresponding angles).
<1=X-20
=80-20
=60
Now that we know <2=100 and <5=60, we can figure out <6
100-60=40
<6=40°
5. A factory produces 24532 bulbs in a month. What is its annual
production?
Answer:
294384
Step-by-step explanation:
Answer:
294384
Step-by-step explanation:
24532x12=294384
Who was Monroe? was he one of our presidents?
Answer:
James Monroe (/mənˈroʊ/; April 28, 1758 – July 4, 1831) was an American statesman, lawyer, diplomat and Founding Father who served as the fifth president of the United States from 1817 to 1825. ... He is perhaps best known for issuing the Monroe Doctrine, a policy of opposing European colonialism in the Americas.
Step-by-step explanation:
Answer:
James Monroe was the 5th president of the United States. He was born April 28, 1758 in Westmoreland County, Virginia. He was chosen as a Virginia representative to the Congress of the Confederation in 1782. In 1808, he ran for president against Madison, but lost. He ran for president in 1816 as a Democratic-Republican and won. He was sworn into office on March 4, 1817. In 1825, Monroe left office and retired in Virginia. He died on July 4, 1831
4x12≤ -8 Anyone know I need help
At the grocery store, Jerry spent $24.75 for 3 pounds of chicken and 3 pounds of cheese. The cheese cost $4.50 per pound. What was the cost of the chicken
per pound?
Answer:
$3.75 per pound of chicken
Step-by-step explanation:
Price of 3 pounds of cheese $ 4.50x3= $13.50
$24.75-$13.50 = $11.25 (price of 3 pounds of chicken)
Chicken : $11.25/ 3 = $3.75 per pound
$11.25 + $13.50 = $24.75
A Rope 25 feet long is cut into 3 pieces. The first piece is 2x feet long, the second piece is 5x feet long, and the third piece is 4 feet long ??
Answer:
'\/(-_-)\/'
Step-by-step explanation: