Step-by-step explanation:
Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula. (or just count and plug it into rise over run format)
Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.
Can a number be a natural number but not a rational number? Explain your reasoning. PLEASEE HURRRYYY
I am trying to understand how to solve for X, then solve the equation
Answer:
x = 16
m<Y = 34°
Step-by-step explanation:
∆XYZ is an isosceles ∆. An isosceles ∆ has two equal sides, as well as the bases of the isosceles triangle are congruent. In this case, therefore:
<X = <Z
(6x - 23)° = (4x + 9)
Solve for x
6x - 23 = 4x + 9
Collect like terms
6x - 4x = 23 + 9
2x = 32
Divide both sides by 2
x = 16
m<Y = 180° - (m<X + m<Z) (sum of ∆)
m<Y = 180 - ((6x - 23) + (4x + 9))
Plug in the value of x
m<Y = 180 - ((6(16) - 23) + (4(16) + 9))
m<Y = 180 - (73 + 73)
m<Y = 34°
Find the instantaneous rate of change of the function f(x)=3x^2 as x approaches 3.
Answer:
The instantaneous rate of change as x approaches 3 is 18.
Step-by-step explanation:
From Differential Calculus and Geometry we remember that instantaneous rate of change of the function is represented by a tangent line, whose slope is determined by the first derivative of the curve. Let [tex]f(x) = 3\cdot x^{2}[/tex], the instantaneous rate of change of the function when x approaches 3 is deducted from the definition of derivative:
[tex]f'(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex] (1)
[tex]f'(x) = \lim_{h\to 0} \frac{3\cdot (x+h)^{2}-3\cdot x^{2}}{h}[/tex]
[tex]f'(x) = \lim_{h\to 0} \frac{3\cdot (x^{2}+2\cdot x\cdot h +h^{2})-3\cdot x^{2}}{h}[/tex]
[tex]f'(x) = \lim_{h\to 0} \frac{3\cdot x^{2}+6\cdot x\cdot h+3\cdot h^{2}-3\cdot x^{2}}{h}[/tex]
[tex]f'(x) = \lim_{h\to 0} \frac{6\cdot x\cdot h +3\cdot h^{2}}{h}[/tex]
[tex]f'(x) = \lim _{h\to 0} (6\cdot x+3\cdot h)[/tex]
[tex]f'(x) = 6\cdot x \cdot \lim_{h\to 0} 1 + 3\cdot \lim_{h\to 0} h[/tex]
[tex]f'(x) = 6\cdot x[/tex] (2)
If we know that [tex]x = 3[/tex], then the instantaneous rate of change as x approaches 3 is:
[tex]f'(3) = 6\cdot (3)[/tex]
[tex]f'(3) = 18[/tex]
The instantaneous rate of change as x approaches 3 is 18.
At a local car wash, 25 cars can be washed in an hour. How many cars can go through the car wash in an 8-hour day?
Answer:
200
Step-by-step explanation:
25 cars can be washed in a hour so we do 25×8=200
Sing for a bicycle race. She recorded the distance he traveled in miles per hour on a graph. Determine the rate of change
Answer:
B
Step-by-step explanation: I got this right on the quiz.
Maya has a dog and it wants to be pet
Answer:
so what is the question?
WILL MARK BRAINLIEST
Heyyy no funny buisness i need answes ASAP
Max ran 5 miles on Thursday. One mile is equal to 5,280 feet. Which proportion can be used to determine how many feet, x, Max ran on Thursday?
A quadrilateral has two angles that measure 110° and 140°. The other two angles are in a ratio of 5:6. What are the measures of those two angles?
Which calculation can be used to find 6% of 50?
Answer:
3
Step-by-step explanation:
We are required to find 6% of 50
To write it mathematically,
50 * 6%
Now, 6% can be rewritten as 6/100 because it tells us: '6 out of 100' and that is what percentage does
= 50 * [tex]\frac{6}{100}[/tex]
= [tex]\frac{300}{100}[/tex]
= 3
Hence, 6% of 50 is 3
COMPLETE THE TABLE PICTURED: A robot is put into a maze, it can only go N, E, S, and West. The value i represents the north, and the magnitude is equal to 1. I have figured out that N= i, East= 1, South= -i, and West= -1. When programming the robot, let the complex number d represent the direction the robot is facing. As the robot changes direction, the value of d will also change; so, the value of d is dependent on where the robot is in the maze. When the robot makes a turn, it would be useful to have an operation to perform on d to represent this turn. This is because after making a turn, the new value of d will depend on the old value of d. Complete the table for the new values of d if the robot is turning left or right. Then determine an expression in terms of d that will give the new position if the robot turns left and another expression if the robot turns right. Type these expressions in the last row of the table.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
A right turn represents a clockwise rotation of the direction vector by 90°. It is equivalent to multiplying the complex number representation by -i.
A left turn represents a counterclockwise rotation of the direction vector by 90°. It is equivalent to multiplying the complex number representation by i.
The attached table shows the desired values and expressions.
Step-by-step explanation:
[tex]\boxed{\begin{array}{c|c|c} \underline{Intial -d} & \underline {Left-turn} & \underline{Right-turn} \\ -1 & -i & i \\ 1 & i & -i \\ i & -1 & 1\\ -i & 1 & -1 \\ d & di & -di \end{array}}[/tex]
7th grade math help me pleaseee
A = 8
B = 50
Step-by-step explanation:
Answer:
A= 2^4= 16
B=10^5=100,000
Step-by-step explanation:
A= 2*2=4*2=8*2=16
B=10*10=100*10=1000*10=10,000*10=100,000
Hope this helps!! Please consider marking brainliest! Have a good one!!
Estimate. Tell whether the estimate is greater than or less than the actual product
23
x 24
A. O 25 10 = 250; less than
B. O 25 15 = 375; greater than
C. O 20 20 = 400, less than
D. O 30 20 = 600; greater than
Answer:
don't know
Step-by-step explanation:
x+y+(y-2)=60,1/2(x)(y-2)=120 what is x and y
Answer:
x = 62
y = 31
Step-by-step explanation:
x+(0)+(0-2)=60
x-2=60
x=62
(0)+y+(y-2)=60
y+y=62
y= 31
The Temperature is 50F. The temperature will decrease by 4F each hour. Let h be the numbers of hours.
When will the temperature below 32F
Write inequality for this equation.
C. and D. arrows are suppose to have lines under them.
A. 50 - 4h< 32
B. 50 + 4h < 32
C. 50 + 4h <_32
D. 50 - 4h <_ 32
Answer:
a. 50 - 4h < 32
Step-by-step explanation:
The question is "When will the temperature be below 32F?" so it can't be less than or equal to (≤), it has to be less than (<).
If the temperature is decreasing every hour you have to decrease 4 for each hour.
hope that helps!
Find an equation parallel to x = 0 and passing through (5. - 1).
Answer:
x=5
Both are vertical lines and parallel to each other.
Andre has a summer job selling magazine subscriptions. He earns $25 per week plus $3 for every subscription he sells. Andre hopes to make at least enough money this week to buy a new pair of soccer cleats. The least expensive pair of cleats Andre wants costs $68.
a.) Write an inequality to find the number of subscriptions he needs to sell so that he can buy a pair of cleats.
b.) Solve the inequality from part (a).
c.) Interpret (what does it mean) and graph the solution.
Answer:
68≥25+3x
x≥15
Step-by-step explanation:
the overall goal is to have $68, so the goal needs to be less then or equal to the weekly $25 plus each additional subscription at $3 (x represents the needed amount of subscriptions he sells) the inequality would look something like 68≥25+3x because he wants the money this week.
to solve the inequality you would subtract the 25 from the 68, leaving you with 43≥3x as the new inequality, now you need to divide both sides by 3. Which comes out to 14.33333..... since we cant sell a fraction of a subscription you must round up giving you the new inequality of x≥15
this means that in order for Andre to get the cleats this week, he must sell at least 15 subscriptions
hope this helped
a.) 25x + 3y ≥ 68
b.) x = 1, y = 43
c.) As x increases, y decreases
What is a linear inequality?A linear inequality is a mathematical relation which gives the range of values a variable or a function can take.
Given,
Wage per week= $25
Subscription earning = $3
Let x and y be the number of weeks and number of subscriptions.
Therefore, 25x + 3y ≥ 68
Hence, 25x + 3y ≥ 68 is the required inequality.
Let x = 1
Therefore minimum value of y = 43.
To learn more about inequalities visit:
https://brainly.com/question/28823603
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A gym charges each member $100 for a membership fee and $30 per month after that. How much money will a member spend after 6 months
Answer:
280
Step-by-step explanation:
Month 1: 100 + 30 = 150
Month 2: +30
Month 3: +30
Month 4: +30
Month 5: +30
Month 6: +30
Total: 280
Hope this helps!
Answer:
$280
Step-by-step explanation:
For this problem, we simply need to take the initial cost of membership and add that to the reoccurring cost from a time period, in this case, 6 months. So let's make an equation to represent this.
The initial cost is $100
The per month cost is $30
Total cost after 6 months = Inital cost + Per Month Cost * 6 months
Total cost = $100 + $30 * 6
Total cost = $100 + $180
Total cost = $280
Thus, a member will spend $280 after 6 months on the membership.
Cheers.
What is the extraneous root of this problem?
Answer:
a: -6
Step-by-step explanation:
[tex]\sqrt{5(-6)+6} =\sqrt{-24} = -6\\[/tex]
This equation is not correct, therefore A is not a root and is extraneous
Which letter has reflectional, rotational, and point symmetry?
O
P
Q
L
Write 15 2/3 as an improper fraction
Benjamin wants to buy a video game that costs $24, but he only wants to spend 40% of his savings. How much must Benjamin save in order to buy the game?
Answer:
$14.4
Step-by-step explanation:
I don't quite understand this question, but this is what I think
Matt is helping to set up drinks and snacks for a luncheon.
Matt has 4.8 liters of iced tea. He is going to pour this into pitchers that can each only hold 0.8 liters of iced tea.
If Matt pours an equal amount of iced tea into each pitcher, how many pitchers does he fill?
Answer:
he will fill 6 pitchers
Step-by-step explanation:
4.8÷0.8=6
A vacuum cleaner has a wholesale price of $50. and a markup rate is 50%. What is the markup and retail price of the vacuum?
Answer:
Retail price = $75
Step-by-step explanation:
1. State the given
The price of the vacuum cleaner's wholesale; $50.
The rate of mark up that the vacuum cleaner is sold at; 50%.
This means that the vacuum cleaner's sales price is 1.5 times the price of its wholesale.
2. Form am equation and solve
Use the equation:
wholesale_price * markup = retail_price
Now use the given information
50 * 1.5 = retail price
Solve
50 * 1.5 = 75
retail price = $75
if a person is randomly selected from the US population, the odds the person lives in California are 1 to 8.
What is the probability of two decimal places of a randomly chosen person being from California?
What are the odds of a randomly chosen person not being from California?
Answer:
The probability of a randomly chosen person being from California is 0.111.
The probability of a randomly chosen person not being from California is 0.889.
Step-by-step explanation:
The odds of a person, selected from the US population, living in California is 1 to 8.
That is:
[tex]\text{Odds}(\frac{\text{Lives in California}}{\text{Does not Lives in California}})=\frac{1}{8}[/tex]
Compute the probability of a randomly chosen person being from California as follows:
[tex]P(\text{Lives in California})=\frac{\text{Odds}(\text{Lives in California})}{\text{Odds}(\text{Lives in California})+\text{Odds}(\text{Does not Lives in California})}[/tex]
[tex]=\frac{1}{1+8}\\\\=\frac{1}{9}\\\\=0.111[/tex]
The probability of a randomly chosen person being from California is 0.111.
Compute the probability of a randomly chosen person not being from California as follows:
[tex]P(\text{Love in California})=1-P(\text{Does not Love in California})[/tex]
[tex]=1-0.111\\\\=0.889[/tex]
Thus, the probability of a randomly chosen person not being from California is 0.889.
Please help me with this thanks
Answer:
no
Step-by-step explanation:
No, because none of the factors of 29 equal to -1
Find the slope of a line parallel to the given line. y=4/5x+5
Answer:
y = 4/5x
Step-by-step explanation:
Her ya go!
Steph bought a used bicycle ,restored it and then marked it up by 1/4 of the price she paid. later, she sold it for the marked up price to $80 how much in dollars did steph pay for the bicycle?
Answer:
$ 64
Step-by-step explanation:
Let Steph paid $x to buy the used bicycle.
After restoring, she marked it up by 1/4 of the price she paid.
So, the marked price [tex]= x +\frac 1 4 x = \frac {5x}{4}[/tex]
As she sold the bicycle for the marked up price to $80.
So, [tex]\frac {5x}{4} = 80[/tex]
[tex]\Rightarrow x = \frac {80\times 4}{5}\\\\\Rightarrow x = 64.[/tex]
Hence, she paid $ 64 for the bicycle.
Evaluate the expression when
x = 32 and y = 2.
x / 4x
A) 1/16
B) 16/21
C) 2
D) 4
PLEASE HELP FAST!!
Answer:
C
Step-by-step explanation:
32/4 (4)
32/16 = 2
Therefore, the answer is C, 2.
I hope this helps! Please mark me brainliest if you can!
What are the values of a and b?
a=
b=
Answer:
The values of a and b are:
a = 2[tex]b=4[/tex]Step-by-step explanation:
Given the exponential model
[tex]y=a\cdot \:b^x[/tex]
Given the points
(0, 2) and (3, 128)
We know that the y-intercept of [tex]y=a\cdot \:b^x[/tex] is (0, a).
so
a = 2
putting x = 3, y = 128 and a = 2
[tex]y=a\cdot \:b^x[/tex]
[tex]128=2\cdot \:b^3[/tex]
Switching sides
[tex]2b^3=128[/tex]
[tex]\frac{2b^3}{2}=\frac{128}{2}[/tex]
[tex]b^3=64[/tex]
Taking the real value such as:
[tex]\mathrm{For\:}x^3=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt[3]{f\left(a\right)}[/tex]
so
[tex]b=\sqrt[3]{64}[/tex]
[tex]b=\sqrt[3]{4^3}[/tex]
[tex]b=4[/tex]
Therefore,
a = 2[tex]b=4[/tex]In the year 2005, a person bought a new car for $27500. For each consecutive year after that, the value of the car depreciated by 12%. How much would the car be worth in the year 2008, to the nearest hundred dollars?
Answer:
Getting my point back lol
Step-by-step explanation: