8. A bus is traveling between two cities that
are in neighboring states. The graph of
the function d(t) = 60lt - 1.251 shows the
distance of the bus in miles from the state line,
where t represents time in hours.
a. What does the graph tell you about the bus ride?
Answer: See below
Step-by-step explanation:
The graph shows uniform motion. First of all, it travels with constant speed in the time interval of (0 to 1.25) hours. And secondly, it travels with constant speed in the time interval (1. 25 to 2.5) hours.
Evaluate the expression 4(x + 2 - 5x) when x= 2.
Answer:
-24
Step-by-step explanation:
4(x + 2 - 5x)
Combine like terms
4( -4x+2)
Let x =2
4 ( -4*2 +2)
4 ( -8+2)
4 ( -6)
-24
Can someone help me I’m slow and not understanding
Please guys I keep getting this question wrong What letter is located at approximately right answers only
√
22
A E
B F
C G
D H
Mary is n years old. Write an expressions for her age 10 years ago.
Answer:
[tex]n-10=a[/tex]
Answer:
Mary is x years old
when we write the expression for her age which represents 12 years from now, it means we have to add 12 years in the age of Mary, and she is x years old now
so the expression will be:
x+12
and the expression which represents her age two years ago from now when she is x years old is:
x-2
if we know the x, we can calculate easily her age for above two expressions.
Step-by-step explanation:
Last year you could get a hamburger, fries, and a cola at Francisco's Drive-In for $2.00. Since the price of a hamburger has increased 10%, the price of fries has increased 30%, and the price of a cola has increased 50%, the same meal now costs $2.58. If the price of a cola is now 9 cents more than that of a hamburger, what was the price of each item last year?
Answer:
hamburger = h = $0.22
Fries = f = $0.96
Cola = c = $0.82
Step-by-step explanation:
Let
last year's price for each item be hamburger = h
Fries = f
Cola = c
h + f + c = 2.00 (1)
The price of a hamburger has increased by 10%
New price of hamburger = 1.10h
The price of fries has increased by 30%
New price of fries = 1.30f
The price of cola has increased by 40%
New price of cola = 1.40c
The same meal now costs $2.58.
1.1h + 1.3f + 1.4c = 2.58 (2)
If the price of a cola is now 9 cents more than that of a hamburger
1.4c = 1.1h + .09
1.4c - 1.1h = .09
Multiply (1) by 1.4
h + f + c = 2.00 × 1.4
1.4h + 1.4f + 1.4c = 2.8 (3)
1.1h + 1.3f + 1.4c = 2.58 (2)
subtract the new equation:
0.3h + 0.1f = 0.22
Multiply by 10
3h + f = 2.2
Recall,
1.4c - 1.1h = .09
1.4h + 1.4f + 1.4c = 2.8 (3)
- 1.1h + 0.0f + 1.4c = .09
Subtract
2.5h + 1.4f = 2.71
multiply by 10
25h + 14f = 27.1
Recall
3h + f = 2.2
Multiply by 14
42h + 14f = 30.8
25h + 14f = 27.1
Subtract to eliminate f
17h = 3.7
Divide both sides by 17
h = 3.7 / 17
= 0.22
h = 0.22
Substitute h into
1.4c - 1.1h = .09
1.4c - 1.1(0.22) = .09
1.4c - 0.242 = .09
1.4c = .09 + 0.242
1.4c = 1.142
Divide both sides by 1.4
c = 1.142 / 1.4
= 0.82
c = 0.82
Substitute values of c and h into
h + f + c = 2.00
0.22 + f + 0.82 = 2.00
1.04 + f = 2.00
f = 2.00 - 1.04
f = 0.96
Therefore, the price of each item last year was
hamburger = h = $0.22
Fries = f = $0.96
Cola = c = $0.82
Graph a parabola whose vertex is at (3,5)(3,5)left parenthesis, 3, comma, 5, right parenthesis with yyy-intercept at y=1y=1y, equals, 1.
Using the given information we found that the equation of the parabola is:
y = (-4/9)*(x - 3)^2 + 5
And its graph is below.
How to get the equation of the parabola?
For a parabola with vertex (h, k), the equation is:
y = a*(x - h)^2 + k
Here the vertex is (3, 5), so the equation is:
y = a*(x - 3)^2 + 5
And the y-intercept is y = 1, this means that:
1 = a*(0 - 3)^2 + 5
1 = a*9 + 5
1 - 5 = a*9
-4/9 = a
So the parabola is:
y = (-4/9)*(x - 3)^2 + 5
And its graph is below.
If you want to learn more about parabolas, you can read:
https://brainly.com/question/1480401
There are 2 squares and 10 circles. What is the simplest ratio of squares to total shapes?
Answer:
2 to 10 i think
Step-by-step explanation:
How to solve 3x-y=11, x+2y=6 with the method of elimination?
Answer:
First point we take the centre number
2[ 3x-y=11]
-1[ x+2y=6]
second we multiply and we adding
6x-2y=22
-x+-2y=-6
_________
5x/5=18/5
x= 3.4
Step-by-step explanation:
third point we take 3x-y=11 any x where we see we change 3.4
3(3.4)-y=11
10.2-y=11
y=10.2-11
y=0.8
Giving (20 Points)
Look at the set of numbers below:
21, 55, 43, 13, 64, 10, 68, 38, 40, 43
How would the mean change if the number 24 replaced one of the 43's in the set?
A. increase
B. decrease
C. no change
Answer:
A.it will increase
Step-by-step explanation:
it will imcrease since every low number after the low number a number that is high
Consider the expression 8-6x+x^2, Is the expression equivalent to (x-4)(x-2)?
Answer:
Yes
Step-by-step explanation:
Factoring is the process of breaking a polynomial into its factors.
Standard Form
It is easiest to factor when in standard form. Standard form is when the terms are listed from highest power to lowest.
Standard form is [tex]x^2-6x+8[/tex]Factoring
To find if two expressions are equal we can either factor the quadratic or multiply out the binomials. I find factoring to be faster and easier, so I will show that.
There are multiple techniques to factor; I will be explaining one of them. One way to factor quadratics is to find 2 numbers that multiply to c (the constant) and sum to b (the second term). In this case, the numbers -4 and -2 fit these requirements.
-4 * -2 = 8-4 + -2 = -6This means that [tex]x^2-6x+8[/tex] factored is [tex](x-4)(x-2)[/tex]. Thus, they are equivalent.
Can someone help me solve this
Answer:
Step-by-step explanation:
Subtract 8 from the x value of the point P and subtract 3 from the y value of the point P
P' = (3-8 , -5-3)
P' (-5 , -8)
so i have alot of them
Solve. 5v = 95
Solve. n - 19 = 7
Solve. v/2 = 19
Solve. 4d = 24
Answer:
1. v = 19
2. n = 26
3. v = 38
4. d = 6
Step-by-step explanation:
5v = 95
÷5 ÷5
v = 19
--------------------
n - 19 = 7
+19 +19
n = 26
-----------------------
v
/ = 19
2
v
/ = 19(2)
2(2)
v = 38
-----------------------------
4d = 24
÷4 ÷4
d = 6
I hope this helps!
What is the direction of W? PLEASE HELP ASAP
Answer:
-161.57°, or 198.43°
Step-by-step explanation:
The third-quadrant angle can be found using the usual rectangular-to-polar conversion. The angle is given by ...
θ = ATAN2(x, y) = ATAN2(-12, -4) ≈ -161.57°
__
More conventionally, the reference angle is ...
tan(θ) = y/x = -4/-12 = 1/3
θ = arctan(1/3) ≈ 18.43° . . . . angle from -x axis (CCW)
Since this is a 3rd-quadrant angle, the positive angle value will be 180° plus the reference angle:
180° +18.43° = 198.43°
The angle most directly measured from the +x axis is ...
360° -198.43° = -161.57°
The graph shows the relationship between the United States dollar and the euro, the currency of the European Union, in December 2011. Part B: Justify why the relationship shown in the graph is a proportional relationship.
Answer:
Step-by-step explanation:
Let the equation of the line representing relation between the euros and dollars is,
E = mD + b
Where 'E' = Number of euros
D = Number of dollars
m = slope of the line
b = y-intercept
Slope of a line which passes through two points (120, 90) and (400, 300) will be,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{300-90}{400-120}[/tex]
m = 0.75
Equation of the line passing through (120, 90),
90 = 0.75(120) + b
b = 90 - 90 = 0
Therefore, equation of the line will be,
E = mD
E ∝ D
Here m = Proportionality constant
And the relation between the numbers of Euros and US dollars is a proportional relationship.
Does the equation below represent a relation, a function, both a relation and a function, or neither a relation nor a function?
y=3x to the power of 2, -9x+20
The Correct answer Answer:
B. both a relation and a function
Step-by-step explanation:
Which is the best estimate of (-3/5)(17 5/6)
0 -18
O-9
0 9
O 18
Write the equation of the line fully simplified slope-intercept form
Answer:
y=4x-3
Step-by-step explanation:
Answer:
thanks for the answer
Step-by-step explanation:
A square has a side length of 1.2 feet. If the square is dilated by a factor of 2.5, what is the length of a side of the new square?
Answer:
Step-by-step explanation:
It starts out at 1.2 feet. In math, dilation means make larger or smaller, so I have to give you both answers. Check with your instructor to see what the question intends.
Larger
1.2 * 2.5 = 3
Smaller
1.2 / 2.5 = 0.48
Answer:
beef
Step-by-step explanation:
beef is the answer to everything
(14+42-6)/10+7^2 order of operation
Answer:
54
Step-by-step explanation:
[tex]\dfrac{(14+42-6)}{10}+7^2[/tex]
Parentheses (14 + 42 - 6) = 50:
⇒ 50/10 + 7²
Exponents 7² = 49:
⇒ 50/10 + 49
Multiplication/division 50/10 = 5:
⇒ 5 + 49
Addition/subtraction: 5 + 49 = 54
⇒ 54
You recently borrowed $500 from a friend. You signed a contract that requires you to pay back one third of the loan every month for three months. How much will you have to pay back each of the first two months? How much will you have to pay back the third month?
The amount of money I would repay in the first month is $166.67.
The amount of money I would repay in the second month is $166.67.
The amount of money I would repay in the third month is $166.66.
How much would I repay each month?In order to determine the money that would be repaid each of the first two months, multiply 1/3 by the amount of the loan.
1/3 x $500 = $166.67
Amount to be repaid in the third month = $500 - (166.67 x 2) = $166.66
To learn more about loans, please check: https://brainly.com/question/25811386
Complete the two-column proof for the problem below. Given: RT = RS + RS R Prove: RS = ST Statements Reasons 1. Given 2. RT = RS ST 2. 3. Transitive Property 4. RS = RS 4. 5. RS = S7
Answer:
can u help me
Step-by-step explanation:
Answer:
first one is: 8
second one is: 2
Step-by-step explanation:
correct on edg 2021!!!
Which of the following are perfect squares 484 -81 525 125 225
Answer:
225
Step-by-step explanation:
15X15 equals 225
Can someone do this?
Step-by-step explanation:
I wrote down the steps Step-by-step for you
I hope you understand....
Help!!!!!!!!!!!!!!!!!!!!!
Answer:
cant see
Step-by-step explanation:
Juanita begins to factor an expression as shown.
x2+3x−18=(x+)(x−)
What numbers should be placed in the boxes from left to right?
Answer:
(x+6)(x-3)
solve:
[tex]\sf x^2+3x-18[/tex]
the least common multiple of 1 and 18 is 18 : 6 * 3
[tex]\sf x^2+6x-3x-18[/tex]
breakdown
[tex]\sf x(x+6)-3(x+6)[/tex]
build parenthesis
[tex]\sf (x-3)(x+6)[/tex]
1. How do you define quadratic equations?
Answer:
[tex]ax^{2} +bx+c^{2}=0[/tex]
Step-by-step explanation:
A quadratic equation is a equation that takes the form: [tex]ax^{2} +bx+c^{2} = 0[/tex]
Ex. Using our definition of quadratic equations, [tex]ax^{2} +bx+c^{2}=0[/tex],
We can set a = 2, b = 1, c = 6:
[tex]2x^{2} +x+6^{2}=0[/tex]
[tex]2x^{2} +x+36=0[/tex]
Which can then be solved (if you are trying to solve it) as:
[tex](2x+9)(x-8)=0[/tex]
[tex]x=\frac{9}{2}, 8[/tex]
what is -13.72842 rounded to the nearest tenth
Answer:
-13.7
Step-by-step explanation:
-13.72842
-13.7284
-13.728
-13.73
-13.7
I rounded this way
Answer:
-13.7 is the answer!SisjsjkakaiaiiaiaiaiSKSKSKSKSKKSKSKSKSKKSJSJSKSMSMSJSJSM
Answer:
2(6+1)
Step-by-step explanation:
its so easy because in sec..134 there is a • like this and look
2(6+1)
2 of 7
2×7
14,,,
and
24-5×2=14,,, is the answer,,,
Find the midpoint of the segment with the following endpoints.
(8,4) and (2,7)
Answer: The midpoint is (5,5.5)
Step-by-step explanation:
Adding X1 And X2 equals 10. Then the x variables have to be divided which is 10 divided 2 equals 5, the 5 represents the x value of the x part of midpoint. (5,?)
Adding Y1 and Y2 equals 11. Then the y variables have to be divided by 2 which is 11 divided by 2 equals 5.5, the 5.5 represents the y value of the midpoint. (?,5.5)
The final answer is Midpoint = (5,5.5)