the 4 ordered pairs for the given proportional relation are (1, 7), (2, 14), (3, 21), (4, 28).
How to find the set of ordered pairs?
Here we know that the sloth travels about 7 feet every minute, then we can define the speed as:
S = 7 ft/min
Now remember the relation:
distance = speed*time
Then the proportional relation is:
D = 7*t
The ordered pairs are of the form (t, D)
if t = 1.
D = 7*1 = 7
if t = 2
D = 7*2 = 14
if t = 3
D = 7*3 = 21
if t = 4
D = 7*4 = 28
Then the 4 ordered pairs are (1, 7), (2, 14), (3, 21), (4, 28).
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write a system of linear equations in which (3,-5) is a solution of equation 1 but not a solution of equation 2 and (-1,7) is a solution of the system
Answer:
Examine this system of linear equations.
y – 3x = –2,
y = 4
Which is a solution of the system of equations?
(0, 4)
(2, 2)
(2, 4)=this is the correct answer
(4, 2)
Step-by-step explanation:
thats the answer
(2,4)
QUESTION 4
1/2x + 5= 10
What's x?
Answer:
10
Step-by-step explanation:
—Math½ x + 5 = 10
½ x = 10 – 5
x = 5 x 2
x = 10
follow my account ^^
To rent a van, a moving company charges $30.00 plus $2.50 per mile. The table shows the total cost for the number of miles driven. Enter an equation in slope-intercept form to represent this situation. PLS HELP MEHHHHHH PLS IT'S 100 POINTS
Answer:
$30.00 to rent the van
.50 per mile x 150 miles
.50*150 = $75.00
30.00 + 75.00 = $105.00
you budgeted 100.00 you do not have enough money
Step-by-step explanation:
I hope that helps i already did this assignment and it was right :)
Find the equation of line that passes through the points (2.0) and (4.6). Write the equation in slope-intercept form
Answer:
y = 3x - 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 0) and (x₂, y₂ ) = (4, 6)
m = [tex]\frac{6-0}{4-2}[/tex] = [tex]\frac{6}{2}[/tex] = 3, then
y = 3x + c ← is the partial equation
To find c, substitute either of the 2 points into the partial equation
Using (2, 0 ) , then
0 = 6 + c ⇒ c = 0 - 6 = - 6
y = 3x - 6 ← equation of line
which ordered pair makes both of these equations true?
A. (-9,25)
B. (-3,-13)
C. (2,-3)
D. (3,-1)
E. (9,11)
Answer:
D. (3, -1)
Step-by-step explanation:
y = 2x - 7 and 4x + y = 11 are two given equation
Now, Name the equation
y = 2x - 7 ...(1)
4x + y = 11 ...(2)
Then, Put the value of y in equation (2)
4x + y = 11
4x + (2x - 7) = 11
4x + 2x - 7 = 11
6x - 7 = 11
6x = 11 + 7
6x = 18
x = 18/6
x = 3
Here, put the value of x in equation (1)
y = 2x - 7
y = 2(3) - 7
y = 6 - 7
y = - 1
Thus, (3, - 1) pair makes both of these equations true
-TheUnknownScientist
2 3/4 devided by 1/6
Step-by-step explanation:
16.5
I'm pretty sure that this is the correct answer.
Please help me please
13
A local business is calculating the total profit made f(x) after selling
x cupcakes. The business would like to predict their profit by creating an equation for the function.
Write an equation that models the total profit for the business below.
Drag and drop the numbers into the boxes to create the function's equation. Not all numbers listed will be used.
x | f(x)
_____
3 | -5
7 | -2
11 | 1
15 |4
(it won’t allow me to send another pic with the chart so i hope this helps. & the picture i did attach are the things you have to use to create the problem it has to be in the form f(x) = _ x + _
Answer:
The required equation is: [tex]\mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}[/tex]
Step-by-step explanation:
We need to find equation from the table given
x f(x)
3 -5
7 -2
11 1
15 4
We can write equation in the form of [tex]y=mx+b[/tex]
where m is slope and b is y-intercept.
Finding Slope
We can used the slope formula to find slope: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
From the table we have: [tex]x_1=3, y_1=-5, x_2=7, y_2=-2[/tex]
Putting values and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-(-5)}{7-3} \\Slope=\frac{-2+5}{7-3}\\Slope=\frac{3}{4}[/tex]
So, we get slope [tex]m=\frac{3}{4}[/tex]
Now, finding y-intercept
Using the slope [tex]m=\frac{3}{4}[/tex] and point (3,-5) we can find y-intercept
[tex]y=mx+b\\-5=\frac{3}{4}(3)+b\\-5=\frac{9}{4}+b\\b=-5-\frac{9}{4}\\b=\frac{-5*4-9}{4}\\b=\frac{-20-9}{4}\\b=\frac{-29}{4}[/tex]
The y-intercept is [tex]b=\frac{-29}{4}[/tex]
So, the equation having slope [tex]m=\frac{3}{4}[/tex] and y-intercept [tex]b=\frac{-29}{4}[/tex] will be:
[tex]y=mx+b\\y=\frac{3}{4}x-\frac{29}{4}[/tex]
The required equation is: [tex]\mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}[/tex]
Whats the answer please help!!!
Answer:b
Step-by-step explanation:cause i did that test yesterday
Select the correct answer. Celeste can spend no more than $30 to quinoa and rice. She will pay $5 per pound for quinoa and $2 per pound for rice. which graph best represents the number of pounds of quinoa and the number of pounds of rice celeste can buy?
Answer:
5x+2y<=30
Step-by-step explanation:
Inequalities help us to compare two unequal expressions. The graph for the inequality can be made as shown below.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
As per the graph let the number of pounds of quinoa be represented by x and the number of pounds of rice Celeste can buy be represented by y.
Therefore, the expression that can represent the number of pounds that Celeste can buy is,
5x + 2y
Also, it is given that Celeste can spend no more than $30. Therefore, the inequality can be written as,
5x + 2y ≤ 30
Now the graph for the inequality can be made as shown below.
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In which quadrant is point C located
Answer:
Quadrant 4
Step-by-step explanation:
A line passes through the point (10,-7) and has a slope of 1/2
Write an equation in slope-intercept for this line
Answer:
1/2x -12
Step-by-step explanation:
y- -7 = 1/2 (x-10)
y + 7 = 1/2x - 5
-7 -7
y= 1/2x -12
Given that f(x) = x2 + 5x + 6 and g(x) = x + 2, find (fºg)(x) and
express the result in standard form.
US
Answer:
[tex](f\circ g)(x)=x^2+9x+20[/tex]
Step-by-step explanation:
We have the two functions:
[tex]f(x)=x^2+5x+6\text{ and } g(x)=x+2[/tex]
And we want to find:
[tex](f\circ g)(x)[/tex]
This is equivalent to:
[tex](f\circ g)(x)=f(g(x))[/tex]
Therefore, we will have:
[tex]f(x+2)[/tex]
By substitution:
[tex]f(x+2)=(x+2)^2+5(x+2)+6[/tex]
Simplify. Square and distribute:
[tex]f(x+2)=(x^2+4x+4)+(5x+10)+6[/tex]
Rearrange:
[tex]f(x+2)=(x^2)+(4x+5x)+(4+10+6)[/tex]
Combine like terms:
[tex]f(x+2)=(f\circ g)(x)=x^2+9x+20[/tex]
f(x)=5(1+0.25)^x,f(4)
Please show step by step of how you got the answer
Answer:
f(4) = 12.2
Step-by-step explanation:
we are given that x = 4, plug in 4 into the equation
f(4) = 5(1+0.25)^(4)
f(4) = 5(1.25)^(4)
raise 1.25 to the 4th, which is equal to 2.44
f(4) = 5(2.44)
f(4) = 12.2
Answer:
12.20703125
Step-by-step explanation:
The complete graph of the function f is shown in the xy-plane above. For what value of x is the value of f(x) at its minimum?
The y-value that represents the minimum point of the given function graph is -2
What is the minimum value of the function represented by the graph?The minimum value of the function represented by the graph is the place where the graph has a vertex at its lowest point. In simple terms the minimum point of the graph is the coordinate of the lowest point of the graph.
Now, looking at the graph critically, we can see that it has a minimum point. We can see that the minimum point of the given graph is seen to be; (-3, -2)
This means the y-value that represents the minimum point of the given function graph is -2
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answer correctly please take ur time and i will give you brainliest
Answer:
15
Step-by-step explanation:45-30 OVER 3-2= 15
Are These this a function
Answer:
the one on the left side is one
Step-by-step explanation:
the right one is not a function
please answer or comment if your good at math and willing to help please
Answer: Indeed i am
Hope This helps :)
As an estimation we are told £3 is €4.
Convert €24 to pounds.
Answer:
18 pounds
Step-by-step explanation:
assuming a 3:4 rate
24 Euros is
24/4 * 3 = 18 pounds
The solution is £ 18
The value of €24 in pounds is 18 pounds or £ 18
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the value of £3 be = €4
So , the equation will be
The value of €1 = £ ( 3/4 )
So , the value of €24 is calculated by the equation
The value of €24 in pounds = value of €1 x 24
Substituting the values in the equation , we get
The value of €24 in pounds = £ ( 3/4 ) x 24
The value of €24 in pounds = £ 3 x 6
The value of €24 in pounds = £ 18
Therefore , the value of €24 in pounds is £ 18
Hence , The value of €24 in pounds is 18 pounds or £ 18
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Solve 4 - x= -8.
Correct answer please
Answer:
12!
Step-by-step explanation:
Heya! What you're searching for is the value of x that would bring you to -8. 4 minus the value of x is what would get you to -8, so I simply plugged 12 in for the value of x. 12 subtracted from 4 gives you -8, so I hope that this helped! (Please mark as brainliest if I was right <3)
Answer:
X = 12Step-by-step explanation:
4 - x = -8
or. -x = -8 - 4
or. -x = -12
or. x = 12
−4 x + 10 ≥ 5 x + 55
Answer:
Step-by-step explanation:
If I were to solve for x, the answer would be x ≤ − 5.
Answer:
x ≤ -5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Inequality
-4x + 10 ≥ 5x + 55
Step 2: Solve for x
Add 4x on both sides: 10 ≥ 9x + 55Isolate x term: -45 ≥ 9xIsolate x: -5 ≥ xRewrite: x ≤ -5Here we see that any value x smaller than or equal to -5 would work as a solution to the inequality.
When you graph an inequality, you used a closed dot when you use which
symbols?
You should only use a closed dot for the symbols ≤ and ≥.
When you should use a closed dot?
There are two types of dots used when graphing inequalities, closed and open.
We use closed dots when the value where the dot is, is a solution.We use open dots when the velue where the dot is, is not a solution.So, for exampe in:
x > 3.
We would put an open dot at 3, because the value x = 3 is not a solution, but all the values at the right of the 3 are solutions.
In the other hand, for:
x ≥ 3
Now 3 is in fact a solution, so here we should use a closed dot.
Then, answering the question.
"When you graph an inequality, you used a closed dot when you use which symbols?"
The ≤ and ≥ symbols.
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Ama started her dance practice at 5:40 p.m.and stopped it at 7:10p.m.how long did she practice?
Answer:
Ama practiced for approximately 1 hour 30min
Help please!!!!!!!!!!!!!
Answer:
is there answer choices?
Step-by-step explanation:
9 + 4[(4 + 2)3 - (32 + 2)]
Answer:
-55
Step-by-step explanation:
I need a little help geometry isn’t my best subject
Answer:
46Step-by-step explanation:
92+X+42=180134+X=180 X=180-134=46Grace was driving down a road and after 4 hours she had traveled 66 miles. At this speed, how many miles could Grace travel in 8 hours?
Fill out the table of equivalent ratios until you have found the value of x.
Answer:
132 miles
Step-by-step explanation:
4 is half of 8 so you just have to multiple everything by 2 to get your answer
Answer:
132
Step-by-step explanation:
Since in four hours you can travel 66 miles, 8 hours would be 66x2, which is 132.
1hour=16.5
2hour=33
3hour=49.5
4hour=66
5hour=82.5
6hour=99
7hour=115.5
8hour=132
Two number cubes are rolled. Each number cube is labeled 1 through 6.
What is the probability that both number cubes will land on 1?
Step-by-step explanation:
Probabibility = 1/6 * 1/6 = 1/36 = 2.77%.
What is the value of x? Round to the nearest tenths place.
15 ft
20 ft
X
The solution to the value of x is 5 < x < 15
The sides of a triangleA triangle is a shape that has 3 sides and angles. According the triangle rule, the sum of any two sides of a triangle is equal to the third.
From the given triangle shown;
15+x > 20 + 15 > 20 + x
Simplify
15+x > 20
x > 20 - 15
x > 5
Also;
20+15 > 20 + x
35 > 20 + x
35 - 20 >x
x < 15
Hence the solution to the value of x is 5 < x < 15
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Make a word problem with an inequality in it.
Answer:
The Mali Empire of West Africa was known far and wide for the great wealth of its rulers. The empire fell in the year 1610.
Let x represent any year. Write an inequality in terms of x and 1610 that is true only for values of x that represent years after the year the Mali Empire fell.