Answer:
Yes.
Step-by-step explanation:
If you use the vertical line test, you'll see that the line only touches the graph at one point.
Use your work from above to find the sum of 501+502+503+…+800
Answer:
Step-by-step explanation:
Gauss n(n+1)/2
which is n? the last number of the sum
500(500 + 1)/2 = 125,250
800(800+1)/2 = 320,400
uh oh forgot to read the last one, give me a minute. done
(800 - 501 + 1)(800 + 501)/2
300(1301)/2 = 195,150
or
320,400 - 125,250 = 195,150
Help help help help help help
You need to take each point and multiply the numbers by 5.
so the first one would be (-3,-1) multiplied by 5.
-3 * 5 = -15
-1 * 5 = -5
so your new point is (-15,-5)
hope this helped!
Find the equation of the line through P=(8,7) such that the triangle bounded by this line and the axes in the first quadrant has the minimal area.
The area of the triangle is given by the product of 0.5 and the distances of the x and y intercepts from the origin.
[tex]\mathrm{The \ equation \ of \ the \ line \ is, }\displaystyle \ \underline{ y = 14 - \frac{7}{8} \cdot x}[/tex]Reasons:
The area of the triangle, A = 0.5·x·y
Where;
x and y are the values of the line at the intercepts
The equation of the line is; (y - 7) = m·(x - 8)
At the y-intercept, x = 0, therefore;
(y - 7) = m·(0 - 8) = -8·m
At the y-intercept, y = 7 - 8·m
At the x-intercept, y = 0, therefore;
(0 - 7) = m·(0 - 8) = -8·m
At the x-intercept, -7 = m·x - 8·m
8·m - 7 = m·x
[tex]\displaystyle x = \mathbf{8 - \frac{7}{m}}[/tex]
Therefore;
[tex]\displaystyle A = 0.5 \times \left(7 - 8 \cdot m\right) \times \left(8 - \frac{7}{m} \right) = \mathbf{\frac{-32 \cdot m^2 +56 \cdot m - 24.5}{m}}[/tex]
When the area is minimal, we have;
[tex]\displaystyle \frac{dA}{dm} =0 = \frac{d}{dm} \left(\frac{-32 \cdot m^2 +56 \cdot m - 24.5}{m}\right) = \mathbf{-\frac{32 \cdot m^2 - 24.5}{m^2}}[/tex]
m² × 0 = 24.5 - 32·m²
[tex]\displaystyle m^2 = \frac{24.5}{32} = \frac{49}{64}[/tex]
[tex]\displaystyle m = \sqrt{\frac{49}{64}} = \frac{7}{8}[/tex]
[tex]\displaystyle m = \pm \frac{7}{8}[/tex]
The equation of the line when [tex]\displaystyle m = + \frac{7}{8}[/tex] is therefore;
(y - 7) = m·(x - 8)
[tex]\displaystyle (y - 7) = \mathbf{\frac{7}{8} \cdot (x - 8)}[/tex]
[tex]\displaystyle (y - 7) = \frac{7}{8} \cdot (x - 8) = \frac{7}{8} \cdot x - \frac{7}{8} \times 8 = \frac{7}{8} \cdot x - 7[/tex]
[tex]\displaystyle y = \frac{7}{8} \cdot x - 7 + 7 = \frac{7}{8} \cdot x[/tex]
[tex]\displaystyle y = \mathbf{\frac{7}{8} \cdot x}[/tex]
The x and y intercept of the above line are 0
When [tex]\displaystyle m = - \frac{7}{8}[/tex], we have;
[tex]\displaystyle (y - 7) = -\frac{7}{8} \cdot (x - 8) = -\frac{7}{8} \cdot x + \frac{7}{8} \times 8 = -\frac{7}{8} \cdot x + 7[/tex]
Which gives;
[tex]\displaystyle y = \frac{7}{8} \cdot x + 7 + 7 = \frac{7}{8} \cdot x + 14[/tex]
[tex]\mathrm{The \ equation \ of \ the \ line \ is, }\displaystyle \ y = \mathbf{14 - \frac{7}{8} \cdot x}[/tex]
The equation of the line through P = (8, 7) such that the triangle bounded by the line and the axes in the first quadrant has minimal area is therefore;
[tex]\displaystyle \ \underline{ y = 14 - \frac{7}{8} \cdot x}[/tex]
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Use the figure below to answer the questions. Unit 1 Test, Part 2: Basic Tools and Transformations
Answer: 35
Step-by-step explanation:
A number w increased by 6 is at most -30.
Could be -24 if you are raising the -30 by 6.
Caroline opens a savings account at her local
bank. She plans to put of her net paycheck
10
in her savings account every week. In June, her
paychecks are $164.69, $177.86, $187.74,
and $163.04. How much money did Caroline
put in her savings account in June?
Answer:
So she has $50–$43.85 = $6.15 in her pocket and $25 in her savings account
Step-by-step explanation:
Lin’s father is paying for a $35 meal. He has a 15%-off coupon for the meal. After the discount, a 4% sales tax is applied.
What is the discount amount? $
What is the subtotal? $
What is the amount of tax added? $
What does Lin’s father pay for the meal? $
also there are suppose to be 4 answers so if you do know it please tell me 4 answers
Answer:
discount: $5.25
subtotal: $29.75
added tax: $1.19
total: $30.94
Step-by-step explanation:
15% of 35 = $5.25
$35 - $5.25 = $29.75
$29.75 + 4% = $30.94 Sales tax = $1.19
Answer:
Step-by-step explanation:
100% - 15% = 85% = 0.85
$35 × 0.85 = $29.75 (Subtotal)
100% + 4% = 104% = 1.04
$29.75 × 1.04 = $30.94
~~~~~~~~~~~~~~~
What is the discount amount?
$35 × 0.15 = $5.25
What is the subtotal? $29.75
What is the amount of tax added?
$29.75 × 0.04 = $1.19
What does Lin’s father pay for the meal? $30.94
Your dinner bill is 93.24$
Answer:
yeah is that all?
Step-by-step explanation:
i feel like I'd understand if there was more to this
Alan will spend at most $30 on gifts. So far, he has spent $19. What are the possible additional amounts he will spend?
Answer:
$11
Step-by-step explanation:
This is because If you subtract 19 from 30 your answer will be 19.
Does anyone know the solution
Answer and explanation in the image.
I need help with my math
Answer:
x^7
Step-by-step explanation:
Answer:
(x)(x)(x) . (x)(x)(x)(x)
Step-by-step explanation:
That's the answer. Hope it helps:)
h
A. 2x – 1 + 3x = 0
B.
5.2 -1=0
1) How can we get Equation B from Equation A?
Choose 1 answer:
Add/subtract the same quantity to/from both sides
B
Add/subtract a quantity to/from only one side
Rewrite one side (or both) by combining like terms
Rewrite one side (or both) using the distributive property
Answer:
A
Step-by-step explanation: :}
Molly needs to rent a car while on vacation. The rental company charges $19.95, plus 17 cents for each mile driven. If Molly only has $40 to spend on the car rental, what is the maximum number of miles she can drive?
Usually a company may charge a startup fee, is a charge for some things they need to do to start the service, in this case may just be paperwork, and it's $19.95, a fixed cost, and they're charging 17 cents or $0.17 for every mile driven, let's say that Molly is going to drive "m" miles, so the cost equation in "m" terms will be C(m) = 19.95 + 0.17m.
Now, we know she only has 40 bucks to spend, so, if she can keep her Cost to 40 bucks, how many miles can she go for?
[tex]C(m) = 19.95+0.17m\qquad \qquad \stackrel{\stackrel{cost}{\downarrow }}{40}=19.95+0.17m\implies 20.05=0.17m \\\\\\ \cfrac{20.05}{0.17}=m\implies 117.94\approx m[/tex]
now, if we were to round that up to whole miles, it'd be only 117.
What is the numerical answer?
length = inches
Answer:
31.5 inches
Step-by-step explanation:
If 2 centimeters is 9 inches, then 1 centimeter is 4.5 inches. Then, just multiply by 7.
Solve for the value of q.
Answer:
q=13
Step-by-step explanation:
(8q-5)°+81°=180° (angles on a str line)
8q-5+81=180
8q=180+5-81
=104
q=104÷8
=13
Using supplementary angle theorem
[tex]\\ \sf\longmapsto 8q-5+81=180[/tex]
[tex]\\ \sf\longmapsto 8q+76=180[/tex]
[tex]\\ \sf\longmapsto 8q=104[/tex]
[tex]\\ \sf\longmapsto q=13[/tex]
Phyllis invested $50,000 in two different types of stock. The first type earned 10% and the second type earned 15%. If the profit on the 15% stock was $2,500 more than the profit on the 10% stock, how much did Phyllis invest in the 15% stock?
Answer:
$ 30,000
Step-by-step explanation:
0.15(50,000 - x) - 0.1x = 2,500
7,500 - 0.15x - 0.1x = 2,500
7,500 - 2,500 = 0.15x + 0.1x
5,000 = 0.25x
5,000/0.25 = x
x =20,000
50,000 - 20,000 = 30,000
0.15 * 30,000 = $4,500
0.1 * 20,000 = $2,000
$4,500 - $2,000 = $2,500
Maya earned $225.oo at her job when she worked for 10 hours. What did she earn in one hour?
The letter w represents a whole number such that 2021 + w is a multiple of 7. What is the smallest possible value of w?
Answer:
2
Step-by-step explanation:
2021/7 leaves a remainder of 5 so add 2 and that's the answer
Fill in the blank with a number to make the expression a perfect square.
y^2 + 6y + ?
Answer:
(y+3)^2 - 9
Step-by-step explanation:
Find the lengths of the sides of the triangle formed by the coordinates below. Then classify the triangle by sides.
A(1,1) B (4,1) C (4,5)
AB =
BC =
AC =
Number of congruent sides=
Then classify the triangle
Isosceles, scalene or equilateral
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{1}~,~\stackrel{y_1}{1})\qquad B(\stackrel{x_2}{4}~,~\stackrel{y_2}{1})\qquad \qquad AB = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AB=\sqrt{(4-1)^2+(1-1)^2}\implies AB=\sqrt{3^2-0^2}\implies AB=3 \\\\[-0.35em] ~\dotfill\\\\ B(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad C(\stackrel{x_2}{4}~,~\stackrel{y_2}{5})\qquad \qquad BC=\sqrt{(4-4)^2+(5-1)^2} \\\\\\ BC=\sqrt{0^2+4^2}\implies BC=4 \\\\[-0.35em] ~\dotfill[/tex]
[tex]C(\stackrel{x_1}{4}~,~\stackrel{y_1}{5})\qquad A(\stackrel{x_2}{1}~,~\stackrel{y_2}{1})\qquad \qquad CA=\sqrt{(1-4)^2+(1-5)^2} \\\\\\ CA=\sqrt{(-3)^2+(-4)^2}\implies CA=\sqrt{3^2+4^2}\implies CA=5[/tex]
well, how many congruent sides? none, all three sides differ, meaning is an scalene triangle.
what is the value of x
Answer:X= 41
Step-by-step explanation:
Use this data set to answer the following question: 5, 10, 12, 4, 6, 11, 13, 5. Remember to show your work.
Calculate the median.
Question 8 options:
help pls ill give brainly
Answer:
Find the Diameter!
To find the diameter, get the cirumference, divide it by 2, and multiply it by Pi (3.14)
For this certain equation, it appears the circumference is 13. 13/2 is 6.5. 6.5 times 3.14 is 20.41.
Answer:
I think the other guy is correct I'm just putting this here so you can give him/her brainliest
Step-by-step explanation:
What is the least common denominator of
1/3 and 7/9
Answer:
9
Step-by-step explanation:
9 is the LCD. So you have to multiply 3 by 3 to get 9, so multiply the numerator (1) by 3. 3/9 is the answer to that.
can someone PLEASE construct these 2 for me!
How is sin 10° = cos 80°??
Check the picture below.
Answer:
See below.
Step-by-step explanation:
Location is Q1
Angle is less than 90
cos Ф = sin(90° - Ф)
cos 80° = sin (90° - 80°)
cos 80° = sin 10° set your calculator in degree mode
Check
cos 80° = 0.1736481777
sin 10° = 0.1736481777
solve this question
Answer:
what... how
Step-by-step explanation:
7. Given that 16 watermelons cost $48, which of these are equivalent ratios of number of watermelons to cost in dollars? Choose all that apply. A) 16:48 B) 3:1 © 1:3 D) 48:16 E) 3:9
Answer:
c) 1:3
Step-by-step explanation:
Since 16 watermelons cost $48, the cost of 1 watermelon is 48 / 16 = $3.
Hence 1 : 3
Which system of inequalities is shown?
[tex]\huge\green{\tt MathSolution:}[/tex]
C. y < × y < 4
The graph of y = b is a horizontal line passing through the point (0, b) on the y-axis. To graph an equation of this form, such as y = 4, plot the point (0, b) on the y-axis and draw a horizontal line through it (see Example 4). If the equation is not in the form y = b, solve the equation for y. Vertical Lines: x = a.^^Last year, Derek's mother gave him 53 blue stamps and 36 red stamps to start a stamp collection. Now Derek has 4 times as many stamps in his collection How many stamps does Derek have in his collection? Complete the bar diagram to show your work.
Answer:
At present he has x stamps
Every month he adds 6 numbers, for 8 months
So total added 8x6=48
The total will be x+48 which is expected to be twice of x
x+48=2x
Solving x=48
At present he has 48 stamps
Step-by-step explanation:
Answer:
356
Step-by-step explanation:
53 + 36 = 89
89 x 4 = 356
and where is the bar diagram????