Step-by-step explanation:
Example: (5,2)
On a graph, the 5 goes on the x-axis and the 2 goes on the y-axis.
Also, in the world of variables, and the alphabet, x is before y.
So x represents the first number in an ordered pair.
hope it helps!
Hassan loves cruising in his new sports car. His only complaint is how much gas it uses, since it only gets 20 miles per gallon. If Hassan drives 60 miles per hour, how many gallons of gas does his car need for a 75-minute drive?
Answer:
3.75 gallons
Step-by-step explanation:
speed = distance/time
s = d/t
d = st
d = (60 mi/hr) * (75 min) * (1 hour)/(60 min) = 75 miles
In 75 minutes of driving at 60 mph, he drives 75 miles.
fuel economy = distance/volume
volume * fuel economy = distance
volume = distance/(fuel economy)
volume = (75 miles)/(20 miles/gal)
volume = 3.75 gallons
Answer: 3.75 gallons
Explain what the intercepts mean in terms of the context and how to find them.
Answer:
Intercepts in terms of graphing are considered to be points at which a function crosses an axis. In the standard x and y graph (the Cartesian coordinate grid), one would find the intercepts by simply plugging in the value of 0 for either the x or the y to find either the y or x intercept respectively. For example, to find the y-intercept, you want to find (0,y) and to find the x-intercept, you want to find (x,0).
Cheers.
X+y=-4
2x+4y=-12
Stop by substitution
Answer:
X=4-y
2(4-y)+4y=12
8-2y+4y=12
2y=12-8
2y=4
y=4/2
y=2
x=4-y
x=4-2
x=2
Find the mean:
9, 9, 3, 2, 8, 7, 4
Answer:
Step-by-step explanation:
mean aka average: (9+9+3+2+8+7+4)/7 = 6
Answer:
6
Step-by-step explanation:
Mean = Sum of the numbers/total no of numbers
There are 7 numbers
[tex]\frac{9+ 9+ 3+ 2+8+ 7+ 4}{7} \\\\= \frac{42}{7} \\\\Divide\\\\= 6[/tex]
What is the probability of tossing 7 Coins and having 4 heads and 3 tails
Answer:
35/128
Step-by-step explanation:
7 coins are tossed, each coin has two possibilities therefore total number of possibilities are 2^7 = 128. The possibilities of obtaining 4 heads and 3 tails is 7C4 = 7C3 = 35. Therefore the probability of obtaining 4 heads and 3 tails 35/128.
help please my teacher won't help me .
the answer to #2
Answer:
b
Step-by-step explanation:
a is not correct because the domain includes negative numbers as well
c is not correct because the domain includes positive numbers as well
and
d is not correct because the range for this function includes ordered pairs from the quadrants I and III (not I and IV)
hope this helps :)
Jamal is 8 miles away from his house. He rides his bike home toward home at a speed of 12 mph..
How far away from home is he after a half hour?
Hi there!
Your answer to this question would be, B) 2 miles.
Happy to Help!
Susan can run 3.5 miles in 40 minutes. About how many whole minutes would it take her to run 8 miles at this same rate? Set up and solve a
proportion. Show all work and answer the situation.
Answer:
40min=3.5miles
40/3.5=1mile
40/3.5×8=8miles
91.428 min
1hr and 31 min
Solve the equation -7=8-3^5√x^3
Answer:
Exact form.... X= 5/81, - 5/81
Step-by-step explanation:
Hope this helps
Ryan has a collection of 216 baseball cards. He lets his brother have 1/3 of his collection and takes 27 cards to school to give his friends. How many
baseball cards remain in Ryan's collection?
Answer:
117
Step-by-step explanation:
216/3=72
216-72=144
144-26=117
Answer: 117
Step-by-step explanation:
First you do 216 divide by 3 to know how many cards he gave his brother. So 216/3 is equal to 72. Then you add 72 to 27 to know the total amount of cards he loses, which is 99. Now you do 216-99 to get 117.
117 baseball cards remain in Ryan's collection.
Natalie is in the business of manufacturing phones. She pays a cost of $50 per
phone produced for materials and labor and also must pay a daily fixed cost
of $900 to rent the building and equipment. Make a table of values and then
write an equation for C, in terms of p, representing total cost, in dollars, of
producing p phones in a given day.
Answer:
C = 50p +900
Step-by-step explanation:
Table: (phones, cost) = (0, 900), (1, 950), (2, 1000).
Equation: C = 900 +50p
__
The fixed cost (900) is the "y-intercept" of the equation in slope-intercept form. The cost per phone (50) is the "rate of change" or slope.
Evaluate -2 + W for W = -7.1
Answer:
did you know that a W is the upside down logo of McDonald's?
okay but seriously though, the answer in -9.1
Answer:
-9.1
Step-by-step explanation:
-2+7.1=-9.1. you just add them together when they are both negatives
What is an algebraic expression for "2 less than the product of 3 and a number x"? *
Answer:
3x-2
Step-by-step explanation:
The algebraic expression is 3x -2.
What is an algebraic expression?Algebraic expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
We have to determine an algebraic expression for "2 less than the product of 3 and a number x"
Here, the product of 3 and a number x
⇒ 3x
Therefore, 2 is less than the product of 3, and a number x as
⇒ 3x -2
Hence, the algebraic expression is 3x -2.
Learn more about an algebraic expression here:
brainly.com/question/13947055
#SPJ2
someone please help me
If you drive 70 miles per hour, how many minutes does it take to drive 110 miles?
Answer:
127.6 mins
Step-by-step explanation:
70m per 1hr
1 mile per 1.16 min
110 mile × 1.16 min per mile
127.6 minutes
Which table in this photo shows a proportional relationship between X and Y?
El M.C.M de: 60; 80 y 90
Step-by-step explanation:
wrong question.........??????
Answer:
what ?
Step-by-step explanation:
Is x – 3 a factor of 5x5 – 3x4 + 2x2 – 9x + 12 ?
Answer:
No
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
If (x - 3) is a factor of the polynomial then f(3) = 0
Given
f(x) = 5[tex]x^{5}[/tex] - 3[tex]x^{4}[/tex] + 2x² - 9x + 12 , then
f(3) = 5[tex](3)^{5}[/tex] - 3[tex](3)^{4}[/tex] + 2(3)² - 9(3) + 12
= 5(243) - 3(81) + 2(9) - 27 + 12
= 1215 - 243 + 18 - 27 + 12 = 975
Since f(3) ≠ 0 then (x - 3) is not a factor of the polynomial
\small \angle L and \small \angle M are supplementary, \small m\angle L=12x+45 and \small m\angle M=18x-30. Determine the measure of each angle. \small m\angle L= degrees \small m\angle M= degrees
Answer:
[tex]L = 111[/tex]
[tex]M = 69[/tex]
Step-by-step explanation:
Given
[tex]L = 12x + 45[/tex]
[tex]M = 18x - 30[/tex]
Required
Determine L and M
Since both angles are supplementary;
[tex]L + M = 180[/tex]
Substitute values for L and M
[tex]12x + 45 + 18x - 30 = 180[/tex]
Collect Like Terms
[tex]12x + 18x= 180 - 45 + 30[/tex]
[tex]30x= 165[/tex]
Divide both sides by 30
[tex]x = \frac{165}{30}[/tex]
[tex]x = 5.5[/tex]
Substitute 5.5 for x in [tex]L = 12x + 45[/tex] and [tex]M = 18x - 30[/tex]
[tex]L = 12 * 5.5 + 45[/tex]
[tex]L = 111[/tex]
[tex]M = 18 * 5.5 - 30[/tex]
[tex]M = 69[/tex]
Solve.
g/6 + 14 = 29
g =
Answer: g = 90
Step-by-step explanation:
Multiply 6 on both sides to remove the fraction from the equation. g + 84 = 174.Now, subtract 84 on both sides. g = 90.helpp whats the answer
5x=15
Answer:
[tex]\boxed{\tt x=3}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]5x=15[/tex]
and asked to solve for [tex]x[/tex]. Therefore, we must isolate the variable on one side of the equation.
[tex]x[/tex] is being multiplied by 5. The inverse of multiplication is division. Divide both sides of the equation by 5.
[tex]\frac{5x}{5}=\frac{15}{5}[/tex]
[tex]x=\frac{15}{5}[/tex]
[tex]x=3[/tex]
Let's check our solution. Plug 3 in for x and solve.
[tex]5x=15[/tex]
[tex]5(3)=15[/tex]
[tex]15=15[/tex]
This checks out, so we know our solution is correct.
The solution to 5x=15 is x=3.
Solve the equation for the variable.
[tex]13x - 3.4 = 17.6 + 10x[/tex]
x = [?]
Answer:
[tex]13x - 3.4 = 17.6 + 10x[/tex]
[tex] = ) \: 13x - 10x = 17.6 + 3.4[/tex]
[tex] = ) \: 3x = 21[/tex]
[tex] = )x = \frac{21}{3} [/tex]
[tex] = ) \: x = 7[/tex]
x = 7
Step-by-step explanation:13x - 3.4 = 17.6 + 10x
13x - 10x = 17.6 + 3.4
3x = 21
x = 21 : 3
x = 7
Solve for x in simplest form. 4=4/3 (x−6)
Answer:
Solve for x in simplest form. 4=4/3 (x−6)
x=9
Step-by-step explanation:
Answer: x = 9
Step-by-step explanation: first you distribute the 4/3 to (x-6) by multiply 4/3 to x and to -6. Which will be 4=4/3x-24/3, then you simplify 24/3 which equal s 4=4/3x-8. Cancel the -8 by adding each side by 8, it'll be 4+8=4/3x-8+8. Which equals 12=4/3x. Then you divide each side by 4/3 to cancel the 4/3. 12/(4/3)=x & to divide a fraction you just need to cross multiply the number so it will be (12/1 x 3/4) = 36/4= 9 so x will be = 9.
How do you evaluate functions in a real-world context?
Answer:
To evaluate a function is to: Replace its variable with a given number or expression.
Step-by-step explanation:
i need help with this qurstion
-2 (4z - 4) = 10 - 6z
I think it’s z=1 hope this helps
Answer:
z=-1
Step-by-step explanation:
-2(4z-4)=10-6z
First, distribute the -2 into the parenthesis to get:
-8z+8=10-6z
Then, add 8z to each side to eliminate it from the left side to get:
8=10+8z-6z
Simplify the right side and combine the z's:
8=10+2z
Subtract 10 from BOTH sides to get:
-2=2z
Finally, to get z alone, divide everything by 2 to get:
-1=z or z=-1
0)
A car traveled 125 miles in 2.5 hours. If the car continued at the same rate, how far had it traveled after 3 hours?
Miles traveled after 3 hours =
Answer:
150
Step-by-step explanation:
125/2.5=50
50x3 =150
Answer:
150
Step-by-step explanation:
I took the Practice/Instruction :)
Line segment AB has endpoints A (2, 3) and B(-4, 6). What are the coordinates of the midpoint of AB?
The midpoint of AB is (-1, 4.5)
x-coordinates: (2-4)/2 = -2/2 = -1
y-coordinates: (3+6)/2 = 9/2 = 4.5
Solution: (-1, 4.5)
Calculate the median for the following test scores.
55, 55,22,64,78,99, and 100
(5x² - 8x + 1) + (2x2 - 4x - 11)
Answer:
7x^2 −12x−10
Step-by-step explanation:
((5x2 - 8x) + 1) + (2x2 - 4x - 11)
Factoring 7x2-12x-10
The first term is, 7x2 its coefficient is 7 .
The middle term is, -12x its coefficient is -12 .
The last term, "the constant", is -10
Step-1 : Multiply the coefficient of the first term by the constant 7 • -10 = -70
Step-2 : Find two factors of -70 whose sum equals the coefficient of the middle term, which is -12 .
-70 + 1 = -69
-35 + 2 = -33
-14 + 5 = -9
-10 + 7 = -3
-7 + 10 = 3
-5 + 14 = 9
-2 + 35 = 33
-1 + 70 = 69
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Choose the correct equation to represent the number line model.
Answer:
-5 + -4 = -9
Step-by-step explanation:
-5 + -4 = -9
Start at 0.
You will need to move 5 spaces to the left (Negative numbers move to the left while positives go right).
And -4. Move 4 spaces left again. There you land at -9.
The plus sign is just to combine -5 and -4 together.
Thus the answer is:
-5 + -4 is -9.
Here’s why the other equations aren’t correct.
The first equation says “5 + 4 = 9”.
To represent this, you would move 5 spaces to the right (because the number is posititve.)
Then combine 4. Which you move 4 spaces to the right again. This leaves you at 9 instead of -9.
The second equation says “-5 + -9 = -14”.
To represent this, you would move 5 spaces to the left.
Then move 9 spaces to the left again. Which leaves you at -14.
Your final destination should be -9. Not anywhere else.