Answer:
f(30) represents the total cost when the car is driven 30 miles
Step-by-step explanation:
f(30) is the y value when x= 30
Since x represents miles, f(30) is the y value of the function when you drive a car 30 miles, basically how much it will cost.
We solve this by plugging 30 in for x:
f(30)= 90 + 0.11(30)
f(30)= 90 + 3.3
f(30)= 93.3
Thus, renting a car for a day and driving it 30 miles costs $93.30
is this right?? please help!
Answer:
6 < x < 8
Step-by-step explanation:
The compound inequality in this instance represent the "and" condition, not the "or" condition.* We might solve it like this.
-47 > 1 -8x > -63 . . . . given
Multiply by -1:
47 < -1 +8x < 63
Add 1:
48 < 8x < 64
Divide by 8:
6 < x < 8
______
* You can tell this is the case by looking at the ends of the given statement:
-47 > -63 . . . . a true statement, so the solution set will be an intersection, not a union.
so A =3x2+4x+1,B=5x2−3x+8,C=4x2−7x−3, find the value of B + C –A.
Answer:
6x² - 14x - 4Step-by-step explanation:
A =3x² + 4x + 1
B = 5x² - 3x + 8
C = 4x² - 7x - 3
B + C –A is
5x² - 3x + 8 + 4x² - 7x - 3 - ( 3x² + 4x + 1)
Expand and simplify
We have
5x² - 3x + 8 + 4x² - 7x - 3 - 3x² - 4x -1
Group like terms
5x² + 4x² - 3x² - 3x - 7x - 4x + 8 - 3 - 1
We have the final answer as
6x² - 14x - 4Hope this helps you
30. Three apples plus twice as many pears add up to one-half the number of grapes in a fruit basket. How many grapes are
in the basket?
(A) 8
(B) 18
c.28
d.38
Answer:
3 + 6 = 1/2(#grapes)
3 + 6 = 9
9 = 1/2(#grapes)
2(9) = 1(#grapes)
18 = # of grapes
Step-by-step explanation:
What is (7 / 14) * (b - 6) when b is 7?
Answer:
1/2
Step-by-step explanation:
Well if b is 7 we plug it into the following equation,
(7 / 14) * (b - 6)
So if b is 7, we do 7-6 which is 1.
Then 7 / 14 which is 1/2.
So 1/2 * 1 is 1/2.
Answer:
1/2 or 0.5 (same thing)
Step-by-step explanation:
If you simplify 7/14, you get 1/2, or 0.5.
Plug in 7 for b. 7-6 is 1, so 1/2 * 1 is 1/2.
what is the line of symmetry for the parabola whose equation is y=-x^2-x+2
Answer:
[tex]\huge \boxed{\sf \ \ x=-\dfrac{1}{2} \ \ }[/tex]
Step-by-step explanation:
Hello,
We need to express this parabola using this kind of expression
[tex]y=a(x-b)^2+c[/tex]
and then, the line of symmetry will be the line x = b
Let's do it !
[tex]\text{*** Complete the square ***} \\ \\ x^2+x=x+2\cdot \dfrac{1}{2}\cdot x=(x+\dfrac{1}{2})^2-\dfrac{1^2}{2^2}=(x+\dfrac{1}{2})^2-\dfrac{1^2}{4} \\ \\ \text{*** Apply it to our parabola } \\ \\y=-x^2-x+2=-(x^2+x)+2=-[(x+\dfrac{1}{2})^2-\dfrac{1}{4}]+2 = -(x+\dfrac{1}{2})^2+\dfrac{1+2*4}{4}= -(x+\dfrac{1}{2})^2+\dfrac{9}{4} \\ \\ \text{*** It comes ***} \\ \\ \Large \boxed{\sf \ \ y=-(x+\dfrac{1}{2})^2+\dfrac{9}{4} \ \ }[/tex]
So the line of symmetry is
[tex]\huge \boxed{\sf \ \ x=-\dfrac{1}{2} \ \ }[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
A taxi driver charges a flat rate of $3.50 plus an additional $1.65 per mile. If Mohammad wants to spend, at most, $60, how far can he travel in the taxi cab?
Round your answer to the nearest mile.
O A. 34 miles
OB. 17 miles
C. 35 miles
D. 16 miles
Answer:
A. 34 miles
Step-by-step explanation:
First, you want to subtract $3.50 from $60. Now you have $56.50. Now you want to divide that by $1.65, to see how many miles you can achieve with your price limit. So, now you have a grand total of 34.24. You round that, and you finally have your answer.
The answer to this problem is A. 34 miles
The number of miles that he can travel in the taxi cab will be 17 miles. Then the correct option is B.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A cab driver charges a level pace of $3.50 in addition to an extra $1.65 per mile.
Let 'y' be the total amount and 'x' be the number of miles. Then we have
y = 3.50x + 1.65
If Mohammad wants to spend, at most $60. Then the number of miles is given as,
60 = 3.50x + 1.65
3.50x = 58.35
x = 16.67
x ≈ 17 miles
The number of miles that he can travel in the taxi cab will be 17 miles. Then the correct option is B.
More about the linear equation link is given below.
https://brainly.com/question/11897796
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Select the correct answer from the drop-down menu. Emily is a geometry teacher. She asks each student to bring in a cutout of a parallelogram. She tells them that one angle must measure 50° and the length of one side must be 10 centimeters. Emily also states that the parallelogram must not be a rhombus, rectangle, or square. Using this information, each student can prepare parallelogram(s).
Answer:
50
Step-by-step explanation:
this is confusing and I'm a straight A student in highschool.I'm a junior to be exact
Answer:
the correct answer is that the students infinitely many parallelograms
A circle has a circumference of 3.143.143, point, 14 units. What is the diameter of the circle?
Answer:
The diameter is 1.
Step-by-step explanation:
The circumference is 3.14 units
C = pi * d
Using 3.14 for pi
3.14 = 3.14 d
Divide each side by 3.14
3.14/3.14 = 3.14 d/ 3.14
1 =d
Which congruence theorems can be used to prove ΔEFG ≅ ΔJHG? Select two options.
Triangles E F G and J H G are connected at point G. Sides F G and and G H are congruent. Sides E F and H J are parallel.
HL
SAS
SSS
ASA
AAS
ASA and AAS
Step-by-step explanation:
We do not know if these are right triangles; therefore we cannot use HL to prove congruence.
We do not have 2 or 3 sides marked congruent; therefore we cannot use SSS or SAS to prove congruence.
We are given that EF is parallel to HJ. This makes EJ a transversal. This also means that ∠HJG and ∠GEF are alternate interior angles and are therefore congruent. We also know that ∠EGF and ∠HGJ are vertical angles and are congruent. This gives us two angles and a non-included side, which is the AAS congruence theorem.
Since EF and HJ are parallel and EJ is a transversal, ∠JHG and ∠EFG are alternate interior angles and are congruent. Again we have that ∠EGF and ∠HGJ are vertical angles and are congruent; this gives us two angles and an included side, which is the ASA congruence theorem.
The congruence theorems that can be used to prove ΔEFG ≅ ΔJHG are; ASA and AAS
It is impossible to know if these are right triangles from the information given;
On this note, only one side of each triangle is marked congruent;
Hence, we are unable use SSS or SAS to affirm congruence.
Additionally, since EF is parallel to HJ. Therefore, line EJ is a transversal. This also means that ∠HJG and ∠GEF are alternate (z-angles) interior angles and are therefore congruent. Similarly, ∠EGF and ∠HGJ are vertical angles and are congruent. We have therefore established the AAS congruence theorem.Since EF and HJ are parallel and EJ is a transversal, ∠JHG and ∠EFG are alternate (z-angles) interior angles and are congruent. Similarly, ∠EGF and ∠HGJ are vertical angles and are congruent; This gives us two angles and an included side, which is the ASA congruence theorem.Read more on congruence theorems:
https://brainly.com/question/2102943
PLZ HELP
Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of $65 along with an
hourly rate of $28. The plumber only charges for a whole number of hours. Anand would like to spend no more than $250, and he wonders how many hours of work he can afford.
Let H represent the whole number of hours that the plumber works.
1) Which inequality describes this scenario?
Choose 1 answer:
A. 28 + 65H < 250
B. 28 + 65H > 250
C. 65 + 28H < 250
D. 65 +28H > 250
2) What is the largest whole number of hours that Anand can afford?
Answer:
c
6 whole hours
Step-by-step explanation:
Sphere A has a radius of 24 centimeters, and sphere B has a diameter of 42 centimeters. The radius of sphere A is
multiplied by what factor to produce the radius of sphere B?
c
+ N100 N
AN
Mark this and return
Save and Exit
Answer:
multiply by a factor of 7/8
Step-by-step explanation:
sphere A radius is 24 and Sphere B radius is 21
24x=21
x = 7/8
Answer:
multiply by a factor of 7/8
To the nearest degree, find the measure of
Answer:
the hypotenuse(b) is 50 if that helps
Step-by-step explanation:
a=40 & c=30 if you square these two numbers, add them and find the square root you get the hypotenuse(a^2+b^2=the square root of c^2)
what is the nth term of this sequence 7, 9, 11, 13
Answer:
The nth term of the sequence is
5 + 2nStep-by-step explanation:
The sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
a = 7
d = 9 - 7 = 2 or 11 - 9 = 2
So the nth term for the sequence is
A(n) = 7 + ( n - 1)2
= 7 + 2n - 2
A(n) = 5 + 2nHope this helps you
Identify the sequence as arithmetic or geometric. 14, 11, 8, 5,
Answer:
sequence is arithmetic
Step-by-step explanation:
A geometric sequence has a common ratio r between consecutive terms.
An arithmetic sequence has a common difference d between consecutive terms, thus
11 ÷ 14 ≠ 8 ÷ 11 ≠ 5 ≠ 8 ← not geometric
11 - 14 = - 3
8 - 11 = - 3
5 - 8 = - 3
There is a common difference d between consecutive terms
Thus sequence is arithmetic.
Answer:
Step-by-step explanation:
This is an arithmetic sequence.
First term = a = 14
Second term = 11
Common difference = second term - first term
= 11 - 14
= - 4
Each term is got by adding (-4) to the previous term
Third term = 11 + (-4) = 11 -4 = 8
Multiply and simplify
(x +1)3 x (x+1)4
Answer:
12x^2+24x+12
Step-by-step explanation:
(3x+3) * (4x+4)
12x^2+24x+12
Answer:
( x+1)^7
Step-by-step explanation:
(x +1)^3 * (x+1)^4
Replace x+1 with m
m^3 * m^4
The bases are the same so we can add the exponents
m^ (3+4)
m^7
Replace m with x+1
( x+1)^7
solve as many as you can please
Answer:
1. 5²
2. 6p⁵
3. y⁶
4. 1/5w²
5. n⁶/9p⁷
7. 12²
8. 2/5
What is the slope of the line that passes through the points (–20, 18) and (30, 14)?
Explanation:
Use the slope formula. We subtract the y values together, and do the same for the x values as well. Subtract in the same order each time. Then you divide the two results. Reduce the fraction if possible.
m = (y2 - y1)/(x2 - x1)
m = (14 - 18)/(30 - (-20))
m = (14 - 18)/(30 + 20)
m = -4/50
m = -2/25
Answer:
[tex]-\frac{2}{25}[/tex]
Step-by-step explanation:
Slope is rise over run.
[tex]m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points (–20, 18) and (30, 14).
[tex]m=\frac{14-18}{30+20}=\frac{-4}{50}=-\frac{4}{50}=-\frac{4/2}{5/2}=\boxed{-\frac{2}{25}}[/tex]
The slope is -2/25.
Brainilest Appreciated.
Which represents the inverse of the function f(x) = 4x?
h(x) = x + 4
h(x) = x -4
h(x) = 3
h(x) =
77 X
This is the same as h(x) = x/4
In decimal form, it would be h(x) = 0.25x
=============================================
Explanation:
Inverses undo the original function. The original function tells us to take any input (x) and multiply by 4 to get the output y = f(x) = 4x
To get the inverse, we reverse the operation applied here. The opposite of multiplication is division. So we'll divide by 4 instead of multiply by 4. This is why the answer is x/4 or (1/4)x
-----------
Another approach is to do the following: Replace f(x) with y. Swap x and y. Solve for y
f(x) = 4x
y = 4x
x = 4y
4y = x
y = x/4
h(x) = x/4
We end up with the same result as before.
-----------
Extra info:
For any real number x, the following two equations are true
h( f(x) ) = x
f( h(x) ) = x
Please help..........
See the attached picture:
Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Explain. Mean for both bakeries because the data is symmetric PLEASE ANSWER THIS IS MY 4TH TIME ASKING BRAINLIEST AND 43 POINTS Mean for Bakery B because the data is symmetric; median for Bakery A because the data is not symmetric Mean for Bakery A because the data is symmetric; median for Bakery B because the data is not symmetric Median for both bakeries because the data is not symmetric
Answer:
Mean
Step-by-step explanation:
The numbers have a very large range. So you should use the mean(or average) to get more accurate data.
4) Kevin and his team do not know what direction Mike went when he left the trail. This means that they will have
to search a circular area based on how fast Mike walks. He has been missing for 12 hours and his estimated
speed is 4 km per hour. Determine the surface area of the circle to be searched.
Answer:
Step-by-step explanation:
Distance traveled by Mike in 12 hours = 4 * 12 = 48 km
This will become the radius of the circle
r = 48 km
Area of the circle to be searched = πr²
= 3.14 * 48 * 48
= 7234.56 square km
Which points are solutions to the system of inequalities shown below? Check all that apply!
Answer:
y>x+4 (A,B)
y≤3x (B,C,D,E,F)
x≥7(A,B,D)
i realllyyyyyyyy HOPE THIS HELPS YOUUU!!!
order the following values from least to greatest: 22.4, -28, 27, -17
Answer:
asDawas
Step-by-step explanation:
sadasda
Answer: -28, -17, 22.4, 27
hope this helps
Which of the following equations is of a parabola with a vertex at (0, 6)?
O y= (x - 6)2
O y= (x + 6)2
O y=x2-6
Oy= x2 + 6
Answer:
y= x^2 + 6
Step-by-step explanation:
y= x2 + 6 (which should be written as y= x^2 + 6) has the form y - k = a(x - h)^2. For y= x^2 + 6, h = 0 and k = 6. Thus the vertex is (0, 6)
in a survey of 420 people, 85% said they drink coffee. of these, 1/3 said they drink their coffee black. how many of the people surveyed drink it black?
Answer:
A.) 119
420 * 0.85 is 357 and 357 * 1/3 is 119
Hope this helps ^^
Answer:
119
Step-by-step explanation:
The total number of people who had taken the survey is 420 wich is equivalent to 100%.
The percentage of people who drink coffee is 85%.
●●●●●●●●●●●●●●●●●●●●●●●●
Let x be the number of people drinking coffee
● 420 => 100%
● x => 85%
These values are proportional so we can cross-multiply them
● x*100 = 420*85
● x = (420*85)÷100
● x = 357
The number of people who drink coffee is 357.
■■■■■■■■■■■■■■■■■■■■■■■■■
Let y be the number of people who drink black coffee.
y is 1/3 of 357 since people who drink black coffee represent the third of the total number of people drinking coffee in general.
● To get y multiply 1/3 by the total number of people drinking coffee (357)
●y = (1/3)*357
● y = 119
119 is the number of people who drink black coffee
tina bought a notebook for $6.59 a backpack for 24.95 and a pen for $4.98
Answer: 36.52 dollars she spent
solve for y: y÷1 7/9 = 3/4
Answer:
y = 4/3
Step-by-step explanation:
The required value of fraction y is 4/3.
Given that,
[tex]\frac{y}{1\frac{7}{9} } = 3/4[/tex]
Fraction y is to be determined by simplification.
The process in mathematics to operate and interpret the function to make function simple or more understandable is called simplifying and the process is called simplification.
What is the fraction?Fraction is defined as the number of compositions that constitute the Whole. Fraction is represented as x = a / b where the upper value is termed as the numerator and the lower value is the denominator.
⇒Simplification
[tex]\frac{y}{1\frac{7}{9} } = 3/4[/tex] ( 1 + 7 / 9 = 16 / 9)
[tex]\frac{y}{\frac{16}{9} } = 3/4[/tex] (Transposition of 16/9 from the denominator to the right)
y = 3 / 4 * 16 / 9
y = 4 / 3
Thus, the required value of fraction y is 4/3.
Learn more about simplification here:
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Jacqueline. Harry, and Stanley bought a pizza pie to share for dinner. Harry ate
of the pie, and then Jacqueline ate of what was left. After Jacqueline
finished, Stanley ate of what was left of the pic. What fractional part of the
pizza pie was left after Stanley finished eating?
Answer:
1/6
Step-by-step explanation:
Harry 1x1/2=1/2
Jacqueline 1/2x1/2=1/4
Stanley 1/3x1/4=1/12
1-1/2-1/4-1/12=
12/12-6/12-3/12-1/12=
2/12 or 1/6
PLEASE READ BEFORE PROCEEDING! I want you all to get the answer without wasting money so you can still answer with something but I will still place the answer at the end of the question. What are two factors of the composite number 46 other than 1 and 46? A. 3 and 7 B. 2 and 13 C. 2 and 23 D. 3 and 33 ANSWER : C. 2 and 23
Answer:
The answer is C:2 and 23
Step-by-step explanation:
Answer:
U have told the answer in the ques. then why r u asking question.
U know the answer already...
......................................
Answer:
Towards the left
Step-by-step explanation: