The company charges $45 a day for the car
as well as charging a one-time $25 fee for
the car’s navigation system (GPS). Write an
equation for the cost in dollars, C, as a
function of the number of days, d, the car
was rented.
Answer:
I personally find it easier to put my equation in words before actually writing the equation, so for this particular situation, the equation would sound like this :
→ The cost (C) is equal to 45$ a day (d) plus 25$!
Now that your equation is put into words, all that you have to do is write down the equation without the words :
→ C = (45d) + 25
If you want to make sure that your equation is correct, you can try it out, say for instance you want to rent a car for a week, so for a total of 7 days, and you want to see how much it would cost :
d = 7 (in this particular situation)
C = (45 × 7) +25
↓
C = 315 + 25
↓
C = 340
→ So it would cost 340$ to rent a car for a week!
credit goes to naomi479xx for solving this answer.
Determine the solution to the following system of equations.
y = -2x2 + 4x + 8
y = -4x + 16
Answer: (2, 8)
Since both equations in the system are equal to y, substitute -4x + 16 for y in the quadratic equation, and then solve for x as follows.
Next, substitute x = 2 into either of the original equations to find the y-value of the solution to the system of equations.
Therefore, the solution to the given system of equations is (2,8).
The solution of the system of equations will be;
⇒ x = 2
⇒ y = 8
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The system of equations are,
⇒ y = - 2x² + 4x + 8
⇒ y = - 4x + 16
Now,
Since, The system of equations are,
⇒ y = - 2x² + 4x + 8 ..(i)
⇒ y = - 4x + 16 ..(ii)
Substitute the value of y from (ii) in equation (i), we get;
⇒ - 4x + 16 = - 2x² + 4x + 8
⇒ - 2x² + 4x + 8 + 4x - 16 = 0
⇒ - 2x² + 8x - 8 = 0
⇒ - x² + 4x - 4 = 0
⇒ x² - 4x + 4 = 0
⇒ x = - (-4) ± √ (-4)² - 4×1×4 / 2×1
⇒ x = 4 ± √16 - 16 / 2
⇒ x = 4 / 2
⇒ x = 2
And, y = - 4x + 16
⇒ y = - 4 × 2 + 16
⇒ y = - 8 + 16
⇒ y = 8
Thus, The solution of the system of equations will be;
⇒ x = 2
⇒ y = 8
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if renting a bike cost $5 plus $2.50 per hour how much will i costs for 6 hours
Answer:
15per 6 hours
Step-by-step explanation:
2.5x2=5x3=15
Please help I need to show all work
Answer: x=-3 can you mark me brainlyest thanks
Step-by-step explanation:
3(x-6)=2x(x+3)
3x-18=3x+6x
3x-18=9x
-3x -3x
-18=6x
__ __
6 6
x=-3
can someone please help me
Answer:
a ≤ −4 or a ≥ 8
Step-by-step explanation:
Hope This Helps!
Hey can you help me fast!!!
Answer:
40 square feet
Step-by-step explanation:
I gotcha bro
4 x 12 = 48
48 - 3 x 2 - 1 x 2 = 48 - 6 - 2 = 40
I need help fast!!!!!!
Answer:
Z= 180 X = 95 y= 147
Step-by-step explanation:
Z=180 because it is a line and when it is a line it = 180 degrees
for X you want to first find the angle of the other triangle and when you do you subtract that # from 180 because those 2 angles make a line
to find that angle next to X is...
180- (the other 2 angles in the triangle)
180- 45- 50
180-95
85 degrees
now do
180-85
95 degrees -- this is what X =
now you want to find the angle that is left in one triangle
so do
180- 95- 52
180- 147
33 degrees -- the angle that was missing
to find Y do...
180- 33
147 degrees -- this is what Y =
Simplify each expression using the properties of exponents and match it to the correct answer
Steven's Diner sold 60 milkshakes last week. 25% of the milkshakes had whipped cream on top. How many milkshakes with whipped cream were sold?
Answer:
the answer is 15.
Step-by-step explanation:
you find the answer by turning 25% into 0.25 then you multiple it by 60, this results in 15.
On Saturday, Kiana studied 2 ¼ hours for her college exams. She spent ¾ hour studying for each of her exams. How many exams did Kiana study for?
Answer:
3 exams
Step-by-step explanation:
[tex]2 \times \frac{1}{4} = \frac{9}{4} [/tex]
[tex] \frac{9}{4} \div 34 = \frac{3}{1} [/tex]
3/1 = 3
A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
The formula for dividing fractions.
= a/b ÷ c/d
= ad/bc
The number of subjects studied for the exam is 3 subjects
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
On Saturday:
The number of hours Kiana studied = 2 ¼ hours
This can be written as,
= 2 (1/4)
= 9/4 hours _____(A)
The number of hours studied for each subject.
= ¾ hour ______(B)
The formula for dividing fractions.
= a/b ÷ c/d
= ad/bc
Now,
From (A) and (B) we get,
The number of subjects.
= 9/4 ÷ 3/4
= (9 x 4) / (4 x 3)
= 3 subjects
Thus,
The number of subjects studied for the exam is 3 subjects
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GUYS PLEASE HELP!!A gardener plans to construct a triangular garden using logs for the edges. She has logs that measure
5 meters and 3 meters. Which of the following lengths could be used for the third side of the garden?
A 2 meters
B 6meters
C 8meters
D 9meters
Answer:
6 meters
Step-by-step explanation:
The sum of the lengths of any two sides of a triangle is always greater than the length of the third side. And this MUST be true for all the combinations
The only length where this is true is 6
3+5 is greater than 6
2+6 is greater than 5
5+6 is greater than 3
you deposit $1050 into an account that pays 7.25% interest per year. find the amount after six year given the following: a) compounded semiannually b) compounded monthly
Answer:
semiannually = $1609.77
monthly = $1128.71
Step-by-step explanation:
Which ordered pair describes a point that is located 4 units to the left of the origin and 2 units below the x-axis?
Answer:
(-4,2)
Step-by-step explanation:
The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The ordered pair that describes a point that is located 4 units to the left of the origin and 2 units below the x-axis is (-4, -2)
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
The point is located 4 units to the left of the origin and 2 units below the
x-axis.
4 units to the left of the origin.
This means,
x = -4
2 units below the x-axis.
This means,
y = -2
The coordinate in the form of ordered pair is (-4, -2).
Thus,
The ordered pair that describes a point that is located 4 units to the left of the origin and 2 units below the x-axis is (-4, -2)
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HI! please help out ASAP this is due today! Explain it the best you can and send a picture explaining it so I won’t get confused. Thank u!
Please show how you got the answer.
Answer:
cosA = 8/17
Step-by-step explanation:
cos = adjacent/hypotenuse
The number that is adjacent to angle A is 24 and the hypotenuse is 51
Plug the numbers into the cosine equation, which would look like:
Cos A = 24/51
You can simplify the fraction by dividing it by 3
So Cos A = 8/17 or 0.89130173...
determine equation for line that is perpendicular to x=-2 and passes through the point (6,1)
Answer:
y = 1
Step-by-step explanation:
During a school assembly, 15 out of 60 students wore orange shirts to show school spirit. what percent of the students did NOT wear orange shirts?
Answer: 75%
15/60 wore orange shirts
45/60 didn’t
45/60 = 0.75 = 75%
GIVING BRAINLIEST!!!!!
What type of triangle is shown in the image?
Acute triangle
Right triangle
Equilateral triangle
Obtuse triangle
Answer:
A. Obtuse triangle
B,C,D. Acute
Step-by-step explanation:
please simplify (4x^2) ^3
Answer:
64x^6
Step-by-step explanation:
4x^2 x 4x^2 x 4x^2
16x^4 x 4x^2
64x^6
What is the variable in the expression 12 + 5y + 4
Which one would it be
Answer:
A or [tex]\frac{\sqrt{6} }{2}[/tex]
Step-by-step explanation:
*note- this method only works because the denominator values are being multiplied, if they were being added then there are extra steps to keep in mind but for now this is simple*
Start by dividing the root 12 in the numerator by the root 2 in the denominator
[tex]\frac{\sqrt{12} }{\sqrt{2} }=\sqrt{6}[/tex]
Then we simply substitute back in the 2 (from the denominator) that we ignored for a second to get our answer
[tex]\frac{\sqrt{6} }{2}[/tex]
*note- if you are allowed to use a calculator then you could also plug in your values to check each answer option but since this question isn't too complicated there should be no need to do so unless you forget how to solve it algebraically*
A number of dimes and quarters are worth $2.55. If the number od dimes and quarters were interchanged the resulting new amount would be $2.70. How many of each kind of coin were there before the interchange?
Answer:
8 dimes
7 quarters
Step-by-step explanation:
Let number of
Dimes = x ; quarters = y
10x + 25y = 255 ___(1)
25x + 10y = 270 ___(2)
From (1)
10x = 255 - 25y
x = (255 - 25y) / 10
x = 25.5 - 2.5y
Put x = 25.5 - 2.5y in (2)
25(25.5 - 2.5y) + 10y = 270
637.5 - 62.5y + 10y = 270
-52.5y = - 367.5
y = 367.5 / 52.5
y = 7
x = 25.5 - 2.5(7)
x = 25.5 - 17.5
x = 8
helpppp plss:)))))))
(the answer is not c though)
Slope is written as a ratio of the vertical change (run) to the horizontal change (rise) between any two points on a line.
Answer:
Step-by-step explanation:
Yeah the equation is change in y over change in x; change in is represented with the delta sign, so y2-y1/x2-x1
Find the length of the missing side of the triangle
Answer:
65ft
Step-by-step explanation:
Pythagoreom therom
Given the data set below, the median of the data set is . 11, 17, 6, 12, 3
a) Write down the mathematical name of this shape?
Answer
this is a Parallelogram or a Polygon
Step-by-step explanation:
most likey the polygon
as i see it, it looks like a polygon
Find the mean of the following data set
41,7, 39, 11, 23, 31, 27, 7, 12
0 29
0 198
0 99
022
Answer:
22
Step-by-step explanation:
Add al the digits (198) then divide by how many digits there are (9)
198÷9=22
What is the solution to the inequality (21+5) >1?
Answer:
True
Step-by-step explanation:
(21+5) >1
Simplify 21+5
26>1
Therefore the solution is
True
Helped by none other than the #Queen herself #DRIPPQUEENMO
Whoever answers correctly without adding NO FILES OR LINKS gets brainliest
Answer:
D
Step-by-step explanation:
because i see it xD but like > 15 mean you going to the left soooo and u got to satrt at 15
