Find the X- and y-intercepts of the graph of 8x + 4y = 16. State your answers as
whole numbers or as improper fractions in simplest form
Answers
Answer:
x-intercept: (2,0)
y-intercept: (0, -4)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
Related Questions
Solve the quadratic equation. x2+2x−8=0
Answers
Answer:
x=2 x=-4
Step-by-step explanation:
x2+2x−8=0
Step 1: Factor left side of equation.
(x−2)(x+4)=0
Step 2: Set factors equal to 0.
x−2=0 or x+4=0
x=2 or x=−4
Answer:
x=2 or x=−4
Answer:
x=2 or x=-4
Step-by-step explanation:
ax^2+bx+c=0
when solving this equation you should find two numbers that if we multiply them we get c and when we subtract them we get b so in this equation we get 2 and -4
Can you help me with this question? :)
Answers
Answer:
Step-by-step explanation:
2x^2+5x-4=0
x = [-5 ± √(5^2-4(2)(-4))]/[2(2)]
= [-5 ± √57]/4
= -1.25+0.25√57, -1.25-0.25√57
which expression is equivalent to the given expression. 3(x-7)+4(x^2-3x+9)
Answers
4x^2-5x+15 is the answer.
Step-by-step explanation:
= 3(x-7) + 4(x² - 2x + 9)
= 3x - 21 + 4x² - 8x + 36
= 4x² + 3x - 8x + 36 - 21
= 4x² - 5x + 15
I need help with math
Answers
Frank's Hardware's store has a rectangular logo with a width of 3.4m
and area 13 square meters, we are to obtain the length,
\(\begin{gathered} \sin ce\text{ Area=L}\times B \\ The\text{ equation becomes;} \\ L=\frac{13}{3.4} \end{gathered}\)6m+100=529 What is the answer for this problem?
Answers
\(\tt{Hey\) \(\tt{there!\)
\(\tt{6m+100=529\)
\(\tt{Subtract\) \(\tt{100\) \(\tt{from\) \(\tt{both\) \(\tt{sides:\)
\(\tt{6m+100-100=529-100\)
\(\tt{6m=429\)
\(\tt{Divide\) \(\tt{both\) \(\tt{sides\) \(\tt{by\) \(\tt{6:\)
\(\tt{\frac{6m}{6}=\frac{426}{6}\)
\(\tt{Simplify\) \(\tt{426/6:\)
\(\tt{\frac{143}{2}\)
\(\tt{Hope\) \(\tt{this\) \(\tt{helps!\)
\(\boxed{\tt{-TestedHyperr}}\)
13. The company you work for has downsized and you have lost your job. You receive a severance package of $65 000 and decide to invest it for retirement, earning an average of 7% per year. It has been suggested that you should be able to retire comfortably with $500 000 in savings. If your investment can be modelled with the equation y = 65000(1.07)^x how many years will pass before you reach $500 000?
Answers
Answer:
31 years
Step-by-step explanation:
65000*(1.07) ^31 is around $529000
however, 65000*(1.07) ^30 is around $491000
so you would need 31 years to gain more than $500,000.
It will take approximately 30 years to reach $500,000 in savings with an investment that earns an average of 7% per year.
To determine the number of years it will take to reach $500,000 in savings with an investment that earns an average of 7% per year, we can use the given investment model equation: y = 65000(1.07)ˣ.
We need to find the value of x, which represents the number of years.
Setting y = $500,000, we can solve for x:
500,000 = 65,000(1.07)ˣ
500,000/65,000 = (1.07)ˣ
100/13 = (1.07)ˣ
To solve for x, we take the logarithm of both sides:
ln 100/13 = ln (1.07)ˣ
ln 100/13 = x ln (1.07)
x = (ln 100/13)/(ln (1.07))
x = 30
Therefore, it will take approximately 30 years to reach $500,000 in savings with an investment that earns an average of 7% per year.
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to minimize the number of times the hood sash is raised and lowered. Work as much as possible in the
Answers
Working efficiently, grouping tasks together, using the hood only when necessary, and proper cleaning and maintenance can all help minimize the number of times the hood sash is raised and lowered.
To minimize the number of times the hood sash is raised and lowered, it's important to work efficiently as possible in the hood. This means planning out your work ahead of time and grouping tasks together that require similar equipment or materials.
For example, if you need to use a particular chemical for multiple experiments, try to do all of those experiments at once rather than opening and closing the hood multiple times throughout the day. Additionally, make sure to properly label and organize your materials so that you can easily find what you need without having to spend time searching for it.Another way to minimize hood usage is to make sure that you are using the hood only when it's necessary. If a task can be completed outside of the hood, do it there instead. This will not only save time and energy, but it will also reduce the risk of contamination within the hood.Lastly, make sure to properly clean and maintain the hood to ensure that it's functioning at its best. A well-maintained hood will reduce the likelihood of needing to raise and lower the sash multiple times throughout the day. In summary, working efficiently, grouping tasks together, using the hood only when necessary, and proper cleaning and maintenance can all help minimize the number of times the hood sash is raised and lowered.Know more about the grouping tasks
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Consider the statement: Subtract 28 from t and multiply the difference by 4.
Which expression represents the statement above?
A. 4(28*t)
B.t-28*4
C.28-t*4
D.4(t-28)
Answers
Answer:
D!
Step-by-step explanation:
We need to obviously subtract, only C and D do thatt. But, you don't multiple t or 28 by 4. You need to multiply the difference, so you need parentheses!
6
a The diagonals of a rectangle intersect at 76°
Find the angle that a diagonal makes with a longer side of the rectangle.
b The diagonals of a rectangle intersect at xº.
Find the angle that a diagonal makes with a longer side of the rectangle.
Answers
Explanation: A diagonal of a rectangle cuts the rectangle into 2 right triangles with sides equal to the sides of the rectangle and with a hypotenuse that is the diagonal. All you need to do is use the pythagorean theorem: where a and b are the sides of the rectangle and c is the length of the diagonal.
The angle that a diagonal makes with a longer side of the rectangle is 38°.
The angle that a diagonal makes with a longer side of the rectangle is (x/2)°.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
a)
The diagonals of a rectangle intersect at 76°.
This means,
From the figure Triangle AOB.
AOB + OAB + OBA = 180
(180 - 76) + x + x = 180
2x = 180 - 180 + 76
2x = 76
x = 38
This means,
The angle with the longer side of the rectangle is 38.
b)
Similarly,
The diagonals of a rectangle intersect at xº.
This means,
AOB + OAB + OBA = 180
(180 - x) + y + y = 180
2y = 180 - 180 + x
2y = x
y = x/2
This means,
The angle with the longer side of the rectangle is x/2.
Thus,
The angle with the longer side of the rectangle is 38°.
The angle with the longer side of the rectangle is (x/2)°.
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(√5+1)²
guys pls help me
Answers
\(( \sqrt{5} + 1 {)}^{2} \\ calculate \\ \\ 5 + 2 \sqrt{5} + 1 \ \\ \\ = 6 + 2 \sqrt{5} \\ \\ in \: \: alternate \: \: form \: \\ \\ 10.47214 \\ \\ hope \: it \: \: helps \\ \\ \)
Step-by-step explanation:
Here is your answer . The logic I have shared above to solve this equation
What are the domain and range of the function?
Answers
Answer:
domain: -2, -1, 0, 1, 2
range: 0, 2, -4, -8
Step-by-step explanation:
domain is the possible x values of the function. in this case, its a collection of plotted points, so we can just line up the x values of these points.
range is the possible y values of the function. again, we can just look at the y values of the points, line them up, and select our answer.
10.) In the accompanying diagram of ABC, altitude BD = 4vT and AC = 5v2. Find the area of the radical form.8-4 m' 10.) In the accompanying diagram of ABC, altitude BD = 46 and AC = 52. Find the area of the triangle in simplest
Answers
The area of the triangle in simplest radical form is 20√3 square units.
How to calculate the area of a triangle?In Mathematics and Geometry, the area of a triangle can be calculated by using the following mathematical equation (formula):
Area of triangle = 1/2 × b × h
Where:
b represent the base area.h represent the height.By substituting the given side lengths into the formula for the area of a triangle, we have the following;
Area of triangle ABC = 1/2 × b × h
Area of triangle ABC = 1/2 × 5√2 × 4√6
Area of triangle ABC = 5√2 × 2√6
Area of triangle ABC = 20√3 square units.
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Complete Question:
In the accompanying diagram of ABC, altitude BD = 4√6 and AC = 5√2. Find the area of the triangle in simplest radical form.
Write the recursive, arithmetic and explicit formula for the nth term of the sequence:
8, 1, -6, -13,... Then find the 10th term
Answers
Recursive Formula
\(\begin{cases}a_1 = 8\\a_n = a_{n-1}-7\end{cases}\)
The top row says the first term is 8
The bottom row says that to get the nth term, we subtract 7 from the (n-1)th term. So basically we subtract 7 from each term to get the next term.
Note the subscripts tell us which term we're working with.
======================================================
Arithmetic Formula
We have a = 8 as the first term and d = -7 as the common difference.
a(n) = a + d(n-1)
a(n) = 8 + (-7)(n-1)
a(n) = 8 - 7n + 7
a(n) = -7n+15
The nth term arithmetic formula is a(n) = -7n+15
If you plug in n = 1, you should get a(n) = 8
If you plug in n = 2, you should get a(n) = 1
and so on.
=======================================================
Finding the 10th term
Plug in n = 10 to get
a(n) = -7n+15
a(10) = -7(10)+15
a(10) = -70+15
a(10) = -55
The 10th term is -55
which of the following beverages contains the most alcohol? 12-ounce can of beer 1.5 ounces of 80-proof liquor 5-ounce glass of wine all of these contain the same amount of alcohol
Answers
A 12-ounce can of beer contains the same amount of alcohol as a five-ounce glass of wine.
In a five-ounce glass of wine, the percentage of alcohol is 12%, which is the same in the 12-ounce can or bottle of beer, and 1.5 ounces of 86-proof liquor. Although a person under the influence of alcohol will have impaired judgment and therefore must avoid driving, doesn't matter what kind of alcoholic beverage they drink. Digestion of alcohol doesn't take place as soon as you drink it, it is absorbed in your bloodstream which reaches the brain and thus creates impaired judgment.
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find the circum center of a triangle whose vertices are (-2, -1) , (-1, 6 ) and (2, 7).
Answers
Answer:
(-1/3; 4)
Step-by-step explanation:
(-2, -1) , (-1, 6 ) and (2, 7).
x=(-2-1+2)/3= -1/3
y=(-1+6+7)/3=12/3=4
=> (-1/3; 4)
(WILL GIVE BRAINLIEST) Describe how you would simplify the given expression.
Answers
Answer:
Simplify inside the parentheses by dividing coefficients, subtracting the exponents on like bases, and raising the resulting expression to the –3 power. Then, write bases with positive exponents.
Raise the numerator and denominator to the –3 power. Then, using the power of a power property, multiply the exponents. Divide the coefficients and subtract the exponents on like bases, then write with positive exponents.
Step-by-step explanation:
Answer:Simplify inside the parentheses by dividing coefficients, subtracting the exponents on like bases, and raising the resulting expression to the –3 power. Then, write bases with positive exponents.
Raise the numerator and denominator to the –3 power. Then, using the power of a power property, multiply the exponents. Divide the coefficients and subtract the exponents on like bases, then write with positive exponents.
Step-by-step explanation:
correct on edg.... Good Luck!!!
Find the solution to the system
of equations.
4Y=X+27
اور
432
K4-3-2-1
1
F-1
1234
-2
-3
-4
y
2 3 4
m
X
([?], [])
![Find the solution to the systemof equations.4Y=X+27432K4-3-2-11F-11234-2-3-4y2 3 4mX([?], [])](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/MtCLHtytg5OEH9qkXfOloh9YDsE3wWzM.png)
Answers
Answer:
(-2,1)
Step-by-step explanation:
at point of intersection
A cyclist traveled kilometers per hour faster than an in-line skater. In the time it took the cyclist to travel kilometers, the skater had gone kilometers. Find the speed of the skater.
Answers
The speed of skaters was 10 km per hr.
How to solve?
Mathematically, the speed of an object is directly proportional to the distance traveled and inversely proportional to the time taken. In simple words, the more the speed, the distance traveled is more in a short period and vice-versa.
Let the speed of the skater be x
We know, speed = \(\frac{Distance}{Time}\)
According to the question:
\(\frac{20}{x} = \frac{40}{x + 10}\)
Cross multiplying both sides,
20(x+10) = 40x
20x + 200 = 40x
20x = 200
x = 10
Thus, the speed of skaters was 10 km per hr.
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how to solve two step inequalities
Answers
Answer:
Solving two step inequalities
Solving Two Step Linear Inequalities. To solve a two-step inequality, undo the addition or subtraction first, using inverse operations , and then undo the multiplication or division. The inverse operation of addition is subtraction and vice versa.
Jorge worked 6 hours of overtime this week but has decided to take time off instead of overtime pay. How many hours will Jorge receive in time off from work
Answers
Jorge will receive 9 hours in time off from work.
How many hours will Jorge get to take time off?
It is given that, Jorge has done overtime for 6 hours in this week. As per the Fair Labor Standards Act, for 6 hours of overtime work, he must be paid one and a half times the pay he gets per hour.
Instead of receiving an overtime pay for working 6 hours extra, Jorge decides to receive paid leaves from work, that is, he will get one and a half of the total hours for which he worked overtime.
As a result, the time off he receives from work = \(1\frac{1}{2} (6)\) hours
\(=\frac{3}{2}(6) = 9 hours\)
Thus, Jorge gets 9 hours in time off from work in return. The time that he earns for the overtime is equivalent to the pay he was supposed to receive for the overtime work.
What is Fair Labor Standards Act?
The Fair Labor Standards Act (FLSA) specifies standards for minimum wage, over-time compensation, recordkeeping, and youth employment that are applicable to workers in the private sector and in federal, state, and municipal governments.
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If you have 47.2 in a class and you get a 60 point assignment and pass with 100%,
what would you grade be in the class now?
Answers
By calculation, your grade in the class now is 78.7
How to determine what your grade would be in the class now?From the question, we have the following parameters that can be used in our computation:
Score of 47.2 in 60
Represent the score in 100% with x
So, we have the following equation
47.2/60 = x/100
Multiply both sides of the equation by 100
So, we have
100 * 47.2/60 = x/100 * 100
This gives
100 * 47.2/60 = x
So, we have
x = 100 * 47.2/60
Evaluate
x = 78.7
Hence, your grade in the class now is 78.7
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A triangle has two sides of length 1 and 2. What compound inequality describes the possible lengths for the third side, x?Write a compound inequality like 1
Answers
Step-by-step explanation:
since in a triangle each side must be shorter than the sum of the other 2 sides (otherwise the end points cannot connect, and there is no triangle), the necessary inequality condition must be
side < 1 + 2 = 3
so,
side < 3
for a lower limit let's go through the cases
1 < 2 + side (is always true)
2 < 1 + side
1 < side (side must be larger than 1)
and again
side < 1 + 2 = 3
side < 3
so the full restriction for the third side is
1 < side < 3
How many times do 5 go into 8
Answers
Answer:
1 time :)
Step-by-step explanation:
Answer:
It can only go into 8 once
8÷5=1.6
Step-by-step explanation:
what is f(x)=\( \frac{3}{2 x - 7\)I need to know the slope
Answers
Lets the equation
\(f(x)\text{ = }\frac{3}{2}\text{ x -7}\)The slope of the function f(x) is the derivative of f(x). That is
\(\frac{df(x)}{dx}\text{ = }\frac{3}{2}\text{ - 7 = }\frac{3-14}{2}\text{ = }\frac{-11}{2}\)Find the length of a rectangle whose breadth is 1.8m and area is 6.12m
a)2. 2.6 m
b)3.2 m
c)3.4 m
d)3.6 m
Answers
Answer:
C
Step-by-step explanation:
Rectangle Area = Length x Breadth
6.12 = Length x 1.8
Therefore, Length = 3.4m
Franklin and Glennys are selling cases of chocolate bars for a school fundraiser. Franklin sells 5 cases and Glennys sells 8 cases. There are x bars of chocolate in each case. How many chocolate bars does Franklin sells?
Answers
Answer:
Franklin sold 5x bars.
Step-by-step explanation:
Franklin Sells 5x bars. I assume the question is asking for an expression with the usage of X instead of an actual value or when that is attainable. If there's any more information that you can provide, let me know and I'll redo the problem.
please help asap
with detailss
Answers
The side lengths of the triangle APC are a = 11.4 m, p = 13.2 m and c = 18.1 m
How to determine the triangle APCFrom the question, we have the following parameters that can be used in our computation:
Triangle CAP:
c = 18.1 m, a = 11.4 m and p = 13.2 m
For the triangle APC, we have the following vertices
a, p and c
These are the same vertices in the triangle CAP
This means that
The side lengths of the triangle APC the same as the side lengths of the triangle CAP
And these side lengths are: are a = 11.4 m, p = 13.2 m and c = 18.1 m
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please help me making brainliest if correct
Answers
Answer:
SSS
Step-by-step explanation:
each of the sides are congruent to another side
A man is filling an empty 5 gallon bucket with water at a constant rate there are 2.4 gallons of water in the bucket after filling the bucket for 12 minutes at what rate in gallons per minute is the man filling the bucket
Answers
2.4g / 12 minutes
0.2g/minutes
Answer is 0.2 gallons per minute
There are m positive numbers and the averages of each possible pair of these numbers is found. If the average of all these averages is n, what is the average of m numbers?.
Answers
The average of M numbers is N
There are M positive numbers and the averages of each possible pair of these numbers is found.
average of all these averages is N,
To Find : What is the average of M numbers
Solution:
Take example 1 , 5 , 6
3 numbers
Average = (1 + 5 + 6)/3 = 4
Possible Pairs ( 1 , 5) , ( 1 , 6) , ( 5, 6)
Average of Each = 3 , 3.5 , 5.5
Average of all average = ( 3 + 3.5 + 5.5)3 = 12/3 = 4
Hence Average is same.
average of all these averages is N
Hence, the average of M numbers is N
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