Find the slope of the line passing through each of the following pair of points. (4, 0), (-2, 8)
Answer:
slope = - [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (4, 0) and (x₂, y₂ ) = (- 2, 8)
m = [tex]\frac{8-0}{-2-4}[/tex] = [tex]\frac{8}{-6}[/tex] = - [tex]\frac{4}{3}[/tex]
Be Precise, One kilometer is About 0.62 mile.
It is 12 Kilometers from Noah's house to the ice skating rink. About how many miles is it from Noah's house to the ice skating rink?
Answer:
about 7.4 miles
exact is 7.44 miles
Step-by-step explanation:
0.62×12=7.44
Explain how u can turn 5,400 in hundreds
Answer:
54 hundreds
Step-by-step explanation:
Write an equation for the given word problem.
Anne deposits $300 in her bank account. Now her balance is $450. Which equation can be used to find the amount, x, in her bank account?
300 + 450 = x
x + 300 = 450
300x = 450
x + 300 = 450 is the correct answer. This is becuause the unknown amount, x, is how much she put in the bank. $450 is her total, so it would be equal to 450. If she already had 300, you need to firgure out what she added to 300 to make the answer 450, so the correct answer is x + 300 = 450.
x + 2 + x = 22 I need to show my work. Please help. No false answers please.
Answer:
x = 10
Step-by-step explanation:
First you need to add like terms (x + x), which would give you 2x.
2x + 2 = 22
Then subtract 2 from both sides, causing it to cancel out one side, and 22 - 2, on the other side:
2x + 2 = 22
-2 -2
22 - 2 is 20, giving you:
2x = 20
Then divide both sides by 2:
2x/2 = 20/2
And you should get x = 10 as your answer.
When F(x)=-3 What is X
is 48 a perfect cube?
Answer: YES!
Step-by-step explanation:
IF you can divide it in 4 it is!
Answer:
No
Step-by-step explanation:
A perfect cube is something that is multiplied by itself 3 times.
For example, 8 is a perfect cube because 2×2×2 = 8
27 is a perfect cube because 3×3×3 = 27
64 is a perfect cube because 4×4×4 = 64
No number can be multiplied by itself three times to equal 48
Therefore its not a perfect square.
Rate as brainliest.
What is 913 rounded to the nearest hundred
earth: 90 pounds; venus:
1.0730000000000000000000000000
I searched it up
[tex]6 = \frac{a}{4} + 2[/tex]
how many cups is 4 1/2 pints
Answer:
9
Step-by-step explanation:
How can you use the Angle-Angle Similarity Postulate to find out if triangles are similar?
A Triangles are similar if one corresponding angle in each triangle is the same measure.
B Triangles are similar if two corresponding angles in each triangle are the same measure.
C Triangles are similar if one corresponding angle and one corresponding side in each triangle are the same measure.
D Triangles are similar if two corresponding sides in each triangle are parallel to each other and have the same measure.
Answer:
B. Triangles are similar if two corresponding angles in each triangle are the same measure.
Step-by-step explanation:
If two pairs of corresponding angles are congruent, then that makes the triangles similar to each other, by the Angle-Angle Similarity Postulate.
* This is definitely a genuine statement!
I am joyous to assist you anytime.
the sum of 3 and 13
Answer:
16
Step-by-step explanation:
The sum of 3 and 13 would look like this as an equation, 3 + 13 = ? Just add 3 to 13 and you get 16 as your answer.
Question 8 -
Cindy worked for 15 consecutive days, earning an average wage of $91 per day. During the first 7
days her average was $87/day, and her average wage during the last 7 days was $93/day. What was
her wage on the Sth day?
a
b.
$83
$92
c.
d
$97
$105
Answer:
Her wage on the 8th day is $105 ⇒ answer d
Step-by-step explanation:
* Lets explain how to solve the problem
- The average of set of data = The sum of data/the number of data
- The sum of data = the average of set of data × the number of data
∵ Cindy worked for 15 consecutive days
∵ She is earning an average wage of $91 per day
∴ Her total earning = 91 × 15 = $1365
∵ Her average earning during the first 7 days is $87 per day
∴ Her total earning in the first 7 days = 87 × 7 = $609
∵ Her average earning during the last 7 days is $93 per day
∴ Her total earning in the last 7 days = 93 × 7 = $651
- Her total earning in the 14 days is the sum of the earning in the
first 7 days and the earning during the last 7 days
∵ Her total earning in the 14 days = 609 + 651 = $1260
∵ Her total earning in the 15 days is $1365
- To find her wage on the 8th day subtract her wage of the 14 days
from her wage of the 15 days
∴ Her wage on the 8th day = 1365 - 1260 = $105
* Her wage on the 8th day is $105
Please hurry!
A health club charges new members a one-time start-up fee in addition to a monthly fee. The cost, in dollars, of the membership for x months is modeled by the function
f(x) = 80 + 30x
What does the 80 represent in the function? (Multiple Choice) (1 point)
The start-up fee
The monthly fee
The rate of change in the monthly fee
The total amount charged each month
How did you know your answer for part a? Write at least 2 complete sentences.
(2 points)
Another health club (we will call it club B) charges a monthly fee of $35 a month and has a one-time start up fee of $20. Write a function that models the cost, in dollars, of the membership at club B for x months. (2 points)
Explain why you wrote your equation in part c the way you did. Write at least 2 complete sentences. (2 points)
Elizabeth wants to join a health club for 8 months to get in shape for her wedding. Which club should she join? Either show work or explain why you chose that club.
A) Because the 80 is by itself that would be the start up fee.
B) We are told x is the number of months. Since the X is being multiplied by 30, we know that would be the total monthly cost. This is being added to the 80, which does not have an exponent, so we know this is a single cost, which would be the start up fee.
C) Copying the same format as the given equation above, change the numbers:
f(x) = 20 + 35x
D) I used the same format as the first equation, which meant replacing the start up cost from the original one ( 80) with the start up of the new one (20). Then I changed the monthly cost from the original one (30) with the monthly cost of the new one (35).
E) Replace x in each equation with 8 and calculate the cost of each:
80 + 30(8) = 80 + 240 = $320
20 + 35(8) = 20 + 280 = $300
The second club (club B) is the cheaper option for her.
how to differentiate x⁴ over 4 ?
Answer:
x³
Step-by-step explanation:
Differentiate using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]
Given
[tex]\frac{1}{4}[/tex] [tex]x^{4}[/tex], then
[tex]\frac{d}{dx}[/tex] ( [tex]\frac{1}{4}[/tex] [tex]x^{4}[/tex] )
= 4 × [tex]\frac{1}{4}[/tex] [tex]x^{4-1}[/tex] = x³
Answer:
x^3.
Step-by-step explanation:
Algebraic differentiation:
If y = ax^n , dy/dx = an x^(n-1), so
y = x^4 / 4
= (1/4)x^4
dy/dx = (1/4 * 4) x(4-1)
= x^3.
Enter an inequality that represents the graph in the box.
Answer:
[tex]y>-3x+6[/tex]
Step-by-step explanation:
First find the equation of the "boundary line" that separates the two sections of the plane. It is very simple to find its slope_y-intercept form from the graph.
We can find the slope of the boundary line by examining the two points where it intersects the axes: It crosses the y-axis at (0,6) (0 for x, 6 units for y)
and also crosses the x axis at (2,0) (2 unites for x and 0 for y)
That means that from the y intersect crossing, in order to arrive at the x intersect crossing, one has to go:
2 units to the right (this is called "run")
and 6 units down (this is called "rise", but should be considered as a negative value because instead of "rising" is going down)
Therefore, the slope of the boundary line is: [tex]slope = \frac{rise}{run} = \frac{-6}{2} = -3[/tex]
We also see that the y-intercept is = 6 (the point at which the line crosses the y-axis.
Then, we can write the equation of the boundary line as:
[tex]y = -3 x + 6[/tex]
Now, the set of (x,y) points that are highlighted in the picture are those "ABOVE" the boundary line, that is those points where the y-value is greater than those defined by the boundary line. Since the boundary line is drawn with a dotted line, that indicates that those values corresponding to (x,y) values in the line itself should NOT be included.
We therefore arrive at an inequality that does not contain an equal sign (to preclude the actual (x,y) values in the line to be included). and which indicates that we want all the (x,y) points on the plane which have y-values greater than those define by the boundary line. That is:
[tex]y>-3x+6[/tex]
Evaluate the expression. Write your answer as a fraction is simplest form. 4 3/4*5/6*-2 1/3=
The required value of the given expression would be fraction -9 17/72.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
The expression is given in the question
⇒ (4 3/4) × 5/6 × ( -2 1/3)
We have to evaluate the given expression,
⇒ (4 3/4) × 5/6 × ( -2 1/3)
⇒ (4 3/4) × 5/6 × (-1)(2 1/3)
⇒ (4 + 3/4) × 5/6 × (-1)(2 + 1/3)
⇒ (19/4) × 5/6 × (-1)(7/3)
⇒ 85/24 × (-7/3)
Apply the multiplication operation,
⇒ -665/72
Apply the division operation,
⇒ -9.236111
⇒ -9 17/72
Therefore, the required value of the given expression would be fraction -9 17/72.
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Final answer:
The expression 4 3/4 * 5/6 * -2 1/3 evaluates to -665/72 after converting mixed numbers to improper fractions and then multiplying the numerators and denominators. The result is in its simplest form.
Explanation:
The question involves evaluating a mathematical expression with mixed numbers and fractions and writing the answer in its simplest form. To solve this, we first convert mixed numbers to improper fractions. The expression given is 4 3/4 * 5/6 * -2 1/3. First, convert the mixed numbers:
4 3/4 = 4 + 3/4 = (4*4+3)/4 = 19/4-2 1/3 = -2 - 1/3 = (-2*3-1)/3 = -7/3Now multiply the improper fractions:
(19/4) * (5/6) * (-7/3)Multiply the numerators: 19 * 5 * (-7) = -665
Multiply the denominators: 4 * 6 * 3 = 72
Therefore, the result is -665/72. This is already in its simplest form as the numerator and denominator have no common factors.
6.) A box of candy had 4 cherry pieces for
every 10 lemon pieces. If the box had 45
lemon pieces, how many cherry pieces
would there be?
Answer:
18 cherries
Step-by-step explanation:
45 lemon pieces
40 lemons=16 cherries
5 lemons=2 cherries
Simplify four square root 2+7 square root 2-3 square root two
Answer:
8[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Given
4[tex]\sqrt{2}[/tex] + 7[tex]\sqrt{2}[/tex] - 3[tex]\sqrt{2}[/tex]
Factor out [tex]\sqrt{2}[/tex] from each term
= [tex]\sqrt{2}[/tex](4 + 7 - 3) = 8[tex]\sqrt{2}[/tex]
D. 350.00
6. Luke drove 120 miles in 3 hours. At this
rate, how long will it take him to drive 280
miles?
A. 9 hours
B. 7 hours
C. 5 hours
D. 4 hours
Answer:
B. 7 hours
Step-by-step explanation:
Since the question states "at this rate" , this could be worked out by using simple proportion.
120miles = 3hours
280miles = ?
(280x3)/120 = 7 hours
It will take 7 hours to drive 280 miles.
What is speed- distance formula?Speed shows us how quickly or slowly an item is moving by converting distance to time. It gives the amount of time it took to travel a certain distance divided by the distance travelled.
Speed is inversely correlated with time and directly correlated with distance. As a result, distance equals speed times time, and time equals distance divided by speed; as speed rises, distance travelled will shorten, and vice versa.
Given:
Distance = 120 miles
Time= 3 hours
Now, using
speed= Distance / time
speed = 120/ 3
speed= 40 miles / h
Now, for distance 280 miles
time= Distance / speed
time = 280 / 40
time = 7 hours
Hence, it will take 7 hours to drive 280 miles.
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Multiply 9x^2(2x^2+8x)
18x^4+72x^3 is the answer to your question
Answer: 9x^2(2x^2+8x)
2x^2 8x
9x^2. 18x^4 72x^3
18x^4 + 72x^3
Step-by-step explanation:
The double number line below shows the prices for a certain number of packs of spaghetti at a store. Which statement correctly gives and explains the price of 9 spaghetti packs?
A. $18, because the price of each pack is $2
B. $72, because the price of each pack is $8
C. $80, because the price of each pack is $8
D. $144, because the price of each pack is $16
Answer:
Option B. $72, because the price of each pack is $8
Step-by-step explanation:
Looking at the double number line we have that
The price of 2 packs of spaghetti is $16
The price of 4 packs of spaghetti is $32
The price of 6 packs of spaghetti is $48
The price of 8 packs of spaghetti is $64
To find out he units rate, divide the price by the number of packs
[tex]\$16/2=8\frac{\$}{pack}[/tex]
Find out what is the price of 9 packs of spaghetti
Multiply the unit rate by 9
[tex]8\frac{\$}{pack}(9\ packs)=\$72[/tex]
therefore
The price of 9 spaghetti packs is $72
Answer:
B. 72
Step-by-step explanation:
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Type the correct answer in the box. Spell all words correctly.
Consider these four statements about a line that passes through two points on a plane.
Statement A: The line is on a different plane from the points.
Statement B: The line lies on only one plane.
Statement C: The line is on the same plane as the points.
Statement D: The line passes through only one plane.
Only statement
is true.
Reset
When a line passes through two points on a plane, according to Euclidean geometry, that line is on the same plane as the points-the correct statement is Statement C.
Explanation:In the context of the four statements given about a line passing through two points on a plane, only Statement C is correct. According to Euclidean geometry, specifically the concept of a plane, if a line passes through two points on a plane, the line is indeed on the same plane as the points. To further clarify this mathematical rule, you can picture a page of a book as the plane, and any line drawn between two points on the page is considered to be on the same plane as the points.
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The correct statement is Statement C: The line is on the same plane as the points.
Explanation:The correct statement regarding a line passing through two points on a plane is Statement C: The line is on the same plane as the points. A line that passes through two points on a plane is always on the same plane as those points. Since a plane is a flat surface that extends infinitely in all directions, any line that lies on the same plane as the points will also lie on that plane.
For example, if we have two points A and B on a flat table, any line that passes through those points will also lie on the table itself, and thus, on the same plane as the points.
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Show each step of your work.
Solve -3x – 2 = 19.
Answer:
Step-by-step explanation:
-3x -2 = 19
+3x +3x
-2 = 19 + 3x
-19 -19
-21 = 3x
Divided by 3
-7 = x
6÷(7÷28)what is the answer?show work
Answer:
24
Step-by-step explanation:
6/(7/28)
6/(1/4)
6 * 4/1
6 * 4
24
can you help me im stuck thank you
Answer:
The answer to your question is: -17°C
Step-by-step explanation:
Data
Initial temperature = 7°C at 3:00 pm
Temperature drops 6°C every hour
Temperature at 7:00 pm
Process Temperature
3:00 7°C
4:00 -6°C 1°C
5:00 -6°C -5°C
6:00 -6°C -11°C
7:00 -6°C -17°C
There are 28 students in class the ratio of girls to boys is 3:4. How many girls
Step-by-step explanation:
let the num be 3x & 4x
3x+4x=28
7x=28
x=28/7
x=4
now, num of girls=3x=3×4=12
& num of boys=4x=4×4=16
Answer: 12 girls
Step-by-step explanation: You first want to make this equation become a fraction with the number of girls on top and the total on bottom. This becomes 3/7. To make this over 28, multiply by 4 on the top and the bottom. This makes 12/28, making 12 girls the answer.
Simplify 4xy-2x+4x-8xy
Answer: -4xy + 2x
Step-by-step explanation:
4xy - 8xy = -4xy
4x - 2x = 2x
Answer:
2x - 4xy or 2x(1 - 2y)
Step-by-step explanation:
Simplify 4xy-2x+4x-8xy
We can start by rearranging the expression;
4xy-8xy -2x + 4x
Then we add or subtract numbers with the same variable
-4xy + 2x
We can further factorize the above since 2x is common between the two numbers, so we will factor out 2x
2x(-2y + 1)
This can be re-write as;
2x(1 - 2y)
Solve for n: -6(n -8) = 4(12 -5n) + 14n.
Answer:
infinite solutions
Step-by-step explanation:
Given
- 6(n - 8) = 4(12 - 5n) + 14n ← distribute parenthesis on both sides
- 6n + 48 = 48 - 20n + 14n, that is
- 6n + 48 = 48 - 6n ( add 6n to both sides )
48 = 48 ← True
This indicates that the equation is true for any value of n
Answer:
This is a very classical type of equation in which, the solution is basically any number and it is known as an "Identity". So it has infinite solutions
Step-by-step explanation:
Apply the distributive law to both sides of the equation:-6(n-8) = 4(12-5n)+14n
-6n-6*(-8) = 4*12+4*(-5n) + 14n
Reduce similar terms-6n+48=48-20n+14n
-6n+48=48-6n
From here it is clear them to see that by adding -48 and 6n to both sides one obtains the identity 0 = 0-6n+48=48-6n
-6n +6n + 48 -48 = 48 -48 - 6n + 6n
0 = 0
So every time you find this kind of problem and after reducen the equation you end up with a true statement, then the equation has infinite solutions