Answer:
-4n+7
Step-by-step explanation:
because you take away 4 each time and the nber that would come before 3 is 7.
blem Sets Questions
e the questions below. Show your work.
1. Mike and Juan are going on a road trip for graduation. Together they have $300 dollars to spend on a
rental car. If the company charges a flat fee of $50 plus $0.75 a mile, how many miles can they travel
and still be within their budget?
Answer:
333.33 miles
Step-by-step explanation:
Let x be the number of miles Mike and Juan drive.
They only have $300, however, so let's set an equation that will tell us how many miles, x, does it take to result in a total bill of $300. The mileage fee will be ($0.75/mile)*(x miles driven). Start with the $300 and subtract both the fixed fee of $50 and the mileage fee of 0.75x and set the result to zero, the point at which they spend $300.
$300 - $50 - ($0.75)x = 0
$250 - ($0.75)x = 0
- ($0.75)x = -$250
x = -($250)/(-$0.75)
x = 333.33 miles
CHECK:
Would Mike and Juan spend $300 on the rental car if they drove 333.33 miles?
Rental Fee: $50
Mileage: ($0.75/mile)*(333.333 miles) = $250
Total Cost: $300 YES
Nothing left for burgers,
1. Choose the description that matches the inequality. x < 1
A line traveling to the left with an closed dot on x=1.
A line traveling to the right with an open dot on x=1.
A line traveling to the right with an closed dot on x=1.
A line traveling to the left with an open dot on x=1.
Answer:
A line traveling to the left with an open dot on x=1.
Explanation:
The inequality x < 1 basically means "less than 1." On number lines, the further left you go, the smaller the number becomes, and the further right you go, the larger the number becomes. So we know that because it's less or smaller than 1, then the line will be to the left. On the other hand, the inequality does not have a line under it to indicate a "less than or equal to 1," just "less than." Therefore, the dot is open. If there were a line under the inequality, then it would indicate "less than or equal to 1" and the dot would be closed.
Which of the following is equivalent to
Answer:
The first one
Step-by-step explanation:
[tex]n^{2} - 6n + 9 = (n-3)^{2}\\\\[/tex]
The expression removes the first 9 terms of the summation so the summation goes from 10 to 19
Can someone please help me
Answer:
minimum value is 3, maximum value is 4.459
Step-by-step explanation:
[tex] log_{2}(8) = \frac{ log(8) }{ log(2) } = 3[/tex]
[tex] log_{2}(22) = \frac{ log(22) }{ log(2) } = 4.459[/tex]
Please help fast!!
Multiply and reduce to lowest terms. Convert into a mixed number if necessary.
[tex]3 \times \frac{2}{5} [/tex]
Answer:
[tex]1\frac{1}{5}[/tex]
Step-by-step explanation:
3 = 3/1
(multiply top and bottom separately for fractions)
[tex]\frac{3}{1}[/tex] × [tex]\frac{2}{5}[/tex] = [tex]\frac{6}{5}[/tex]
[tex]\frac{6}{5} = \frac{5}{5}+\frac{1}{5}= 1\frac{1}{5}[/tex]
Answer:
1 1/5Step-by-step explanation:
3×2/5multiplying three (3) and two(2) and express the product of three and two over five.
6/5five can enter in six three times , remainder 1
The fraction in lowest terms is one whole number , one over five.
1 1/5evaluate 2x^2-1 when x=3
[tex] \sf{\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Let's evaluate ~
[tex]\qquad \sf \dashrightarrow \: 2 {x}^{2} - 1[/tex]
plug in the value of x :
[tex]\qquad \sf \dashrightarrow \: 2(3) {}^{2} - 1[/tex]
[tex]\qquad \sf \dashrightarrow \: 2(9) - 1[/tex]
[tex]\qquad \sf \dashrightarrow \: 18 - 1[/tex]
[tex]\qquad \sf \dashrightarrow \: 17[/tex]
The required value is 17
-------------------------------------------------------------------------------------------------------------
Answer: [tex]\textsf{Option B, 17}[/tex]
-------------------------------------------------------------------------------------------------------------
Given: [tex]\textsf{2x}^2\textsf{ - 1}[/tex]
Find: [tex]\textsf{When x = 3}[/tex]
Solution: In order to find the value when x is equal to 3 we just need to equate any x to the value of 3 and simplify.
Plug in the values
[tex]\textsf{2x}^2\textsf{ - 1}[/tex][tex]\textsf{2(3)}^2\textsf{ - 1}[/tex]Simplify the expression
[tex]\textsf{2(3 * 3) - 1}[/tex][tex]\textsf{2(9) - 1}[/tex][tex]\textsf{18 - 1}[/tex][tex]\textsf{17}[/tex]Therefore, the answer that would make most sense would be option B, 17.
As seen in the diagram below, Hawa is building a walkway with a width of a feet to go
around a swimming pool that measures 19 feet by 6 feet. If the total area of the pool
and the walkway will be 770 square feet, how wide should the walkway be?
Answer:
8 feet
Step-by-step explanation:
you have to calculate :(19+2x)(6+2x)=770
you will get X1=8,X2= negetive some value but measurement cant be negative .if you put X=8 you'll find LHS=RHS
Answer:
[tex]x= \frac{-25}{4}+\frac{1}{4} \sqrt{3705}[/tex] or [tex]x= \frac{-25}{4} + \frac{-1}{4}\sqrt{3705}[/tex]
Step-by-step explanation:
So first you need to find the area of the swimming pool:
19*6 = 114
Next you add the area of the swimming pool and the area of the walkway:
114 + 770 = 884
After this you solve for x using this equation:
(19 +2x) * (6 + 2x) = 884
This would normally find the area of the whole swimming pool area and the walkway but because we know that we can use it to solve for x.
The step-by-step is this:
[tex]4x^{2} +50x+114=884[/tex]
[tex]4x^2+50x+114-884=884-884[/tex]
[tex]4x^2+50x+114-884=0[/tex]
Now we'll use the quadratic formula to simplify it farther:
[tex]x= \frac{-(50) + \sqrt{(50)^2-4(4)(-770)} }{2(4)}[/tex]
[tex]x=\frac{-50 + or - \sqrt{14820} }{8}[/tex]
[tex]x= \frac{-25}{4}+\frac{1}{4} \sqrt{3705}[/tex] or [tex]x= \frac{-25}{4} + \frac{-1}{4}\sqrt{3705}[/tex]
Which of the following is a Recursive Formula for an Arithmetic Sequence?
an = 6n – 9
an = -3 + 6(n – 1)
a1 = -3, an = an-1 + 6
a1 = -3, an = 6an-1
Pls I require assistance.
The Recursive formula for an Arithmetic Sequence is a1 = -3, an = an-1 + 6.
What is Arithmetic sequence ?An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant k.
Given:
an = -3 + 6(n – 1)
a1= -3
a2= 3
a3 = 9
Here the common difference is 6 and first term is -3
Hence, the recursive formula is a1 = -3, an = an-1 + 6.
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Which of the following situations could be represented with the following system of equations?
Option B is correct for the given system of equations.
The given system of equations 13(v-w)=52 and 12(v+w)=72.
What are systems of equations?In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
Now, 13(v-w)=52⇒v-w=4-----(1) and 12(v+w)=72⇒v+w=6------(2).
By adding (1) and (2), we get
v-w+v+w=4+6⇒2w=10⇒w=5
By substituting w=5 in equation (1), we get v-5=4⇒v=9.
Thus, the statement "Andy flew his model aeroplane at full speed straight into the wind for 13 seconds before turning it around and flying directly with the wind for 12 seconds. The aeroplane flew 72 yards on the way out and 52 yards on the way back" is correct for the given system of equations.
Therefore, option B is correct for the given system of equations.
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Determine the missing information in the paragraph proof.
Given: Line PQ is rotated 90° counterclockwise to form line P’Q’. The lines are perpendicular. Line PQ contains the points (a, b) and (c, d). Line P’Q’ contains the points (–b, a) and (–d, c).
Prove: The slopes of perpendicular lines are negative reciprocals.
On a coordinate plane, 2 perpendicular lines are shown. Line P Q has points (a, b) and (c, d). Line P prime Q prime has points (negative b, a) and (negative d, c).
The slopes of lines PQ and P’Q’ can be determined using the formula m = StartFraction v 2 minus v 1 Over x 2 minus x 1 EndFraction
The product of these slopes is ________. This product shows that the slopes are negative reciprocals. It is given that the lines are perpendicular and we have shown that the slopes of the lines are negative reciprocals.
(StartFraction d minus b Over c minus a EndFraction) (StartFraction c minus a Over negative d + b EndFraction) = negative 1
(StartFraction b minus a Over a + b EndFraction) (StartFraction c minus d Over negative d minus c EndFraction) = negative 1
(StartFraction d minus b Over c minus a EndFraction) (StartFraction c minus a Over negative d + b EndFraction) = 1
(StartFraction b minus a Over a + b EndFraction) (StartFraction c minus d Over negative d minus c EndFraction) = 1
Mark this and return
The slopes of perpendicular lines are negative reciprocals is proved.
What is Equation of a Straight Line ?An equation of a straight line is given by
y = mx +c
It is given that
Line PQ is rotated 90° counterclockwise to form line P’Q’. The lines are perpendicular.
Line PQ contains the points (a, b) and (c, d). Line P’Q’ contains the points (–b, a) and (–d, c).
The slopes of lines PQ and P’Q’ can be determined using the formula
[tex]\rm m = \dfrac{ v _2 - v _1 }{ x _2 -x _1 }[/tex]
The product of these slopes is -1 .
This product shows that the slopes are negative reciprocals
Therefore , The slopes of perpendicular lines are negative reciprocals is proved,
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Lily sold 18 items at the street fair. she sold bracelets for $6 each and necklaces for $5 each for a total of $101. which system of equations can be used to find b, the number of bracelets she sold, and n, the number of necklaces she sold? b n = 101 6b 5n = 18 b n = 101 5b 6n = 18 b n = 18 6b 5n = 101 b n = 18 5b 6n = 101
Answer:
[tex]b + n = 18[/tex]
[tex]6b + 5n = 101[/tex]
PLEASE HELP ASAP!!!!!!!!!
The terminal ray of angle θ drawn in standard position passes through (1,−3).
What is the value of cscθ?
Enter your answer in the box. Enter your answer in simplest form.
csc0=
The radius of the circle is
[tex] \sqrt{ {1}^{2} + {( - 3)}^{2} } = \sqrt{10} [/tex]
meaning that
[tex] \sin( \theta ) = \frac{ - 3}{ \sqrt{10} } [/tex]
Thus,
[tex] \csc \theta = - \frac{ \sqrt{10} }{3} [/tex]
The value of csc θ is √10/ (-3).
What is trigonometry?
Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles.
As,
(1,−3) is in quadrant 4 and csc is negative.
Using Pythagoras,
H=√ 1² + (-3)²
H= √10
So, cosec θ= H/P
= √10/ (-3)
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ENS of soda (input)
60
70
80
90
100
110
Earnings (output)
$ 24
$28
$ 32
$36
$ 40
$ 44
How many liters would you have to sell to earn
$36?
000
Clear all
Enter the correct answer.
000
2
DONE
Answer:
90 liters
Step-by-step explanation:
please mark me as brainlest
area = in
help me please ty:)
Answer:
36 inches but im really not sure though because you got to times them together and then divide by 2
What is 1.2 converted into a fraction then divided by 7
Find x.
7x
6x+1
4x+6
Answer:
this is the answer
Step-by-step explanation:
6x+1=0
6x=-1
x=-1/6
x=0,166
7x=7×x
find the value of c so that (x+1) is a factor of the polynomial p(x). p(x)=5x^4+7x^3-2x^2-3x+c
Answer:
C=1
Step-by-step explanation:
5x^4+7x^3-2x^2-3x+1 / (x+1)
-1/ 5 7 -2 -3 1
5 2 -4 1 0
Remainder of 0 indicates that x=-1 is a solution.
How is the graph of the parent function y = x squared transformed to produce the graph of y = 3 (x + 1) squared?
It is translated 1 unit right and compressed vertically by a factor of 3.
It is translated 1 unit left and compressed vertically by a factor of 3.
It is translated 1 unit right and stretched vertically by a factor of 3.
It is translated 1 unit left and stretched vertically by a factor of 3.
Answer:
D.
Step-by-step explanation:
A road is 450 metres long . It takes a woman 5 minutes to walk along the road . Work out the average speed of the woman . Give your answer in metres per second .
What are the zeros of this function?
g(x) = 2(x + 2)(x - 9)
The zeros of function g are located at
and
HELP!!
Which compound inequality is represented by the graph?
-5-4-3-2-1 0 1 2 3 4 5
O-2
0-2 ≤x≤4
O x < -2 or x ≥ 4
O x≤-2 or x > 4
Answer: Choice C
[tex]x < -2 \text{ or } x \ge 4[/tex]
==========================================
Reason:
The portion on the left represents [tex]x < -2[/tex] because of the open circle at -2 and shading pointing to the left. This represents all numbers smaller than -2.
The portion on the right represents all values that are 4 or larger; hence [tex]x \ge 4[/tex]. Note the use of a closed circle at 4 to include this value.
We connect those two inequalities with the keyword "or" because x can only pick one of those options, but not both at the same time.
Solve the equation for x by graphing.
-2x − 3 = 3x + 2
Answer:
C
Step-by-step explanation:
you need to re arrange like terms
100 pints help would be greatly appreciated
Answer:
(4, -2) (see attached)
Step-by-step explanation:
Vector addition on a graph is accomplished by placing the tail of one vector on the nose of the one it is being added to. The negative of a vector is in the direction opposite to the original.
__
vector componentsThe components of the vectors are ...
u = (1, -2)
v = (-6, -6)
Then the components of the vector sum are ...
2u -1/3v = 2(1, -2) -1/3(-6, -6) = (2 +6/3, -4 +6/3)
2u -1/3v = (4, -2)
graphicallyThe sum is shown graphically in the attachment. Vector u is added to itself by putting a copy at the end of the original. Then the nose of the second vector is at 2u.
One-third of vector v is subtracted by adding a vector to 2u that is 1/3 the length of v, and in the opposite direction. The nose of this added vector is the resultant: 2u-1/3v.
The resultant is in red in the attachment.
The answer is (4, -2) hope this helps!
The first five terms of a quadratic sequence is 1,8,21,40,65 .
What is the nth term of this sequence?
Thanks
And will give a brainliest!!
Answer: Nth term = 5
Explanation:
An = a + ( n - 1 ) d
a = first term and
d = the difference
An = 1 + ( n - 1 ) 6
= 1n - 1 + 6
CLT
N = -1+6
N = +5 /5
Mark brainliest
Answer:
Formula To Find: [tex]a_{n} = 3n^2 - 2n[/tex]
Step-by-step explanation:
If the means of 5,11,6,4,7,p and 10 is 8,find the value of p.
Answer:
p = 13
Step-by-step explanation:
The mean of 5, 11, 6, 4, 7, 10, p is 8
So 8 = 5+11+6+4+7+10+p divided by 7.
So 56 = 43+p
Therefore p = 56-43
= 13
Hope I helped
⇒ 5 + 11 + 6 + 4 + 7 + p + 10 / 7 = 8
⇒ 43 + p = 56
⇒ p = 13
The value of p is 13.
I think my other question might've been deleted for some reason
We know that if (x,y) lies on the graph of a function, then (y,x) lies on the graph of its inverse.
This means you need to draw the segment with endpoints (9,1) and (2,3).
Rewrite the expression in the form z^n. z x z x z x z x z x z/z x z
Answer:
z⁴
Step-by-step explanation:
(z x z x z x z x z x z) / (z x z)
z⁶ / z² = z⁴
1. Harry is buying a new conservatory. He says, "The conservatory is a cube shape and the length measures 2m. How much space will his new conservatory take up?
2. The sum of a cubed number and a square number is 150. What are the 2 numbers?
3. Caroline's daughter has an age that is a cubed number. next year her age will be a squared number. How old is she?
Answer:
1) 8 m^3
2) 125 + 25
3) 8
Step-by-step explanation:
1) It's a cube shape => length = width = height = 2 m
Volume = length × width × height = 2 × 2 × 2 = 8 m^3
2) 5^2 + 5^3 = 150
25 + 125 = 150
3) Now she is 8 years old (8 = 2^3)
Next year she'll be 9 years old (9 = 3^2)
*GEOMETRY
help me with questions 9, 10, and 11 please!
9) Diagonals of a parallelogram bisect each other, so KN=NM. Thus, KM=13.5+13.5=27 cm
10) Opposite sides of a parallelogram are congruent, so LM=KJ=17 cm
11) Based on Question 9, MN=13.5 cm
Simplify the following expression.
3x +2x³-5x² + 4x +6x-2x-3x² + 7x² - 3x³
Answer: [tex]-x^3-x^2+11x\\[/tex]
Step-by-step explanation:
Combine Like Terms:
[tex]=3x+2x^3+-5x^2+4x+6x+-2x+-3x^2+7x^2+-3x^3\\\\=(2x^3+-3x^3)+(-5x^2+-3x^2+7x^2)+(3x+4x+6x+-2x)\\\\=(-x^3)+(-8x^2+7x^2)+(7x+4x)\\\\=-x^3-x^2+11x\\[/tex]
