Find the x- and y-intercepts of the graph of – 10x + 3y = 10. State your
answers as whole numbers or as improper fractions in simplest form.
M
I hope you see what I did there. if you still confused, comment and I'll help
5 * 10^6 is how many times larger as 5 * 10^4
[tex]\dfrac{5\cdot10^6}{5\cdot10^4}=10^{6-4}=10^2=100[/tex]
Answer:
100 times more
Step-by-step explanation:
5*10^4 over 5*10^6 is 1/100
Writing to Learn x- and y-intercepts
(a) Explain why c and d are the x-intercept and y-intercept,
respectively, of the line
y
1.
d
(b) How are the x-intercept and y-intercept related to c and d in
the line
+
y
+
= 22
с
d
The x and y intercepts of a line are when [tex]y=0[/tex] and [tex]x=0[/tex] respectively.
c and d are the x and y intercepts because they represent C/A and B/A in the standard linear equationThe x and the y intercepts are related to c and d because they represent the values of the equation when y and x equals 0 respectively.The given equation is:
[tex]\frac xc + \frac yd = 1[/tex]
(1) Why c and d are the intercepts
We have:
[tex]\frac xc + \frac yd = 1[/tex]
Multiply through by cd
[tex]cd \times \frac xc + cd \times \frac yd = cd \times1[/tex]
[tex]dx + cy = cd[/tex]
A linear equation is represented as:
[tex]Ax + By = C[/tex]
Where:
[tex]\frac CA \to[/tex] x intercept
[tex]\frac BA \to[/tex] y intercept
So, by comparing [tex]Ax + By = C[/tex] to [tex]dx + cy = cd[/tex]
[tex]\frac CA \to d \to[/tex] The x-intercept
[tex]\frac CB \to c \to[/tex] The y-intercept
(b) How the intercepts are related to c and d?
In (a) above, we have:
[tex]\frac CA \to d \to[/tex] The x-intercept
[tex]\frac CB \to c \to[/tex] The y-intercept
When [tex]x = 0[/tex]
We have:
[tex]dx + cy = cd[/tex]
[tex]d \times 0 + cy = cd[/tex]
[tex]cy = cd[/tex]
Divide by c
[tex]y = d[/tex] ---- the y-intercept
When [tex]y = 0[/tex]
We have:
[tex]dx + cy = cd[/tex]
[tex]dx + c \times 0 = cd[/tex]
[tex]dx = cd[/tex]
Divide by d
[tex]x =d[/tex] ---- the x-intercept
Read more about intercepts at:
https://brainly.com/question/13593488
PLEASE HELP
Simplify by combining like terms.
2/3b - 2 3/4b =??
Step-by-step explanation:
the Anwer is 2-6b(3/4b) / 3b
Answer: -2[tex]\frac{1}{12}[/tex] b or -[tex]\frac{25}{12}[/tex] b
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] b - 2 [tex]\frac{3}{4}[/tex] b
= [tex]\frac{2}{3}[/tex] b - [tex]\frac{11}{4}[/tex] b
= [tex]\frac{8-33}{12}[/tex] b
= -[tex]\frac{25}{12}[/tex] b
= -2[tex]\frac{1}{12}[/tex] b
Find the midpoint of the segment below and enter its coordinates as an ordered pair. If necessary, express coordinates as fractions, using the slash mark (/) for the fraction bar. (-12, -3) (3, -8)
Answer:
[tex]=\left(-\frac{9}{2},\:-\frac{11}{2}\right)[/tex]
Step-by-step explanation:
[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\\\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-12,\:-3\right),\:\left(x_2,\:y_2\right)=\left(3,\:-8\right)\\\\=\left(\frac{3-12}{2},\:\frac{-8-3}{2}\right)\\\\=\left(-\frac{9}{2},\:-\frac{11}{2}\right)[/tex]
amusement park is 1.50$ for children and $4 for adults. on certain day 220 people entered the park, and the admission fee collected totalled 630.00. how many children and how many adults were admitted? write and use an equation to solve
230.000 childrenㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
Answer:
230 children
Step-by-step explanation:
Which expression is NOT equivalent to 4×38? A. 4×(3×18) B.(4×3)×18 C. (4×18)×3 D. (4×3)×(4×18)
Answer:
Every choice is not equivalent to 4✖️38.
Step-by-step explanation:
4✖️38=152
A. 54✖️4=216
B. 12✖️18=216
C. 72✖️3=216
D. 12✖️72=864
Every choice is not equivalent to 4✖️38.
Am I doing this right if not please help me
Answer:
Step-by-step explanation:
For the m it would just be -3 because the equation for slope intercept form is y=mx+b
Banners at the school’s store we’re on sale for $4 off the regular price. Mike brought 5 banners on sale and paid a total of $20. Write and solve an equation to find the regular price of one banner.
Answer:
$8Step-by-step explanation:
Let the regular price is x, then:
(x - 4)*5 = 20x - 4 = 20/5x - 4 = 4x = 4 + 4x = 8Please Answer THIS QUESTION ASAP ty!! First 2 answer right is BRAINLESS
Hi there! :)
Answer:
[tex]\huge\boxed{A = 119.44 cm^{2} }[/tex]
To find the area of the shaded region, we will need to find the areas of both the rectangle and the circle:
Rectangle: A = l × w
A = 11 × 12
A = 132 cm²
Circle: A = πr² (Let π = 3.14)
A = π(2)²
A = 4π
A ≈12.56 cm²
Subtract the area of the circle from the area of the rectangle:
132 - 12.56 = 119.44 cm².
What is the (10) for?
Answer:
2(10) is implied multiplication
Step-by-step explanation:
( 18+2) + 2(10) ÷4 -2
PEMDAS
Parentheses first
( 20) + 2(10) ÷4 -2
Then exponents ( we have none)
Then multiply and divide from left to right
20 + 20÷4 -2
20 + 5-2
Then add and subtract from left to right
25 -2
23
2(10) is implied multiplication
Answer:
23
Step-by-step equation
(18+2)+2(10)÷4-2
20+20÷4-2
20+5-2
25-2
23
A rectangle has a perimeter of 150 feet and a base of 45 feet. What is the height?
PLZ help i will give brainly to whoever wants it.
Answer:
30
Step-by-step explanation:
45+45 = 90
150-90 = 60
60/2 = 30
I think...
I am a bit confused on a derivative is in Calculus. From what I understand, I derivative is the limit of a tangent line on a curve. I was wondering if someone can explain in simple terms what a derivative is and what is the point of calculating it. Thanks!
Answer:
Step-by-step explanation:
To answer your question fully can literally take up an entire book.
The importance becomes obvious if you consider the derivative (and the inverse of it the integral) as the foundation of calculus. I guess that askes the question what is calculus? For this answer a very very simplistic answer would be that it is the branch of mathematics that studies "non-constant" change (things that curve)
...... Let's see if this makes sense? You are driving your car at a constant 50 mph . after one hour you are 50 miles from home and after two you are 100.
y=50x. you can calculate this value in a several of ways just take two time stamps and two distance stamps ... subtract the two times and two
ok now here is the REAL PROBLEM issue we want to know our CHANGE IN
VELOCITY (that is ACCELERATION) ... if you take ANY two points you will
see that the SPEED is ALWAYS the same so the numerator is always 0 (zero) and thus the denominator (the difference in the time stamps) does not matter
now lets say that we are accelerating ..we are going y = 10 [tex]x^{2}[/tex] mph
at 3 seconds we are going 90 mph (10* 3^2) .. but we really don't care about that we want the "acceleration" at EXACTLY that point...
to do that we "have to estimate" delta Y over delta X
lets take 3 and 0 .... (9-0)/3 estimate of acceleration is 3...
but WAIT we can do better (get closer) take 3 and 1 ... (9 - 1)/2
acceleration is 4... once again lets get closer to the exact 3 ...
3 and 2 ... (9 -4)/2 the acceleration is 5...
hold on ! lets get even closer use 3 and 3 and we get it exactly !
(9-9)/0 that is the answer hurray! HOLD ON ! you CAN NOT DIVIDE BY ZERO ... no can do... we have to wait for newton and Leibniz to
figure out lim as x-> 0 f(x)-f(x+ delta x) / x to get around the DIVIDE BY ZERO problem...
that is the derivative
Algebra 1 need help ASAP
Answer:
Step 1: 12-2a=3a-18
Step 2: 12-5a=-18
Step 3: -5a=-30
Step 4: a=6
I hope this helps!
pls ❤ and give brainliest pls
Hello can you help me work this out ty
Answer:
x=8
Step-by-step explanation:
You need to isolate the variable.
6x+7=55
Subtract 7 from both side.
6x=48
Divide both sides by 6.
x=8
I hope this helps!
pls ❤ and give brainliest pls
Answer:
x=8
Step-by-step explanation:
For the equation 6x+7=55 subtract 7 from both sides of the equation to get 6x=55-7 55-7 =48 so now you have 6x=48 you need to isolate the variable x by divide both sides by 6 so 6x/6=48/6 you are left with x=8.
One day Shahed was playing with numbers. He wrote 15 fractions using all natural numbers from 1 to 30 exactly once- either as numerator or denominator. How many of these fractions, at most, are integers?
Answer:
30 i think because he has done numbers from 1 -30, which are all integers except for decimals...
Help me, please
I really need
Answer:
answrr
yes ok
Step-by-step explanation:
4+4-4#_44
[tex]( - 72) \div ( + 9) + (16) \div ( - 4)[/tex]
could you help.....
Answer:
-12
Step-by-step explanation:
Use PEMDAS,
doing the division first, then addition to simplify the terms
(-72)/(+9) + 16/(-4)
(-72/9) + (16/-4)
-8+(-4) = -12
Answer:
-12
Step-by-step explanation:
((-72)÷(9))+((16):(4))
= (-8)+(-4)
= -12
Please help for 14 point 5 stars and 1 thanks! :]
Answer:
x=22000 ( bonds)
Step-by-step explanation:
total money invested=26000 , x for bonds and y stocks
x+y=26000 ⇒ x=26000-y
0.05 x + 0.08 y=1420 solve by substitute : x=26000-y
0.05(26000-y)+0.08 y =1420
1300-0.05y+0.08y=1420
0.03y=1420-1300
y=120/0.03
y= 4000 ( the amount invested in stocks)
the amount invested in bonds x= 26000-4000
x=22000 ( bonds)
check :
0.05(22000)+0.08(4000)= 1420 correct
A line is defined by the equation 2 x + y = 4. Which shows the graph of this line? On a coordinate plane, a line goes through points (negative 2, 0) and (0, 4). On a coordinate plane, a line goes through points (0, 1) and (2, 5). On a coordinate plane, a line goes through points (0, 4) and (2, 0). On a coordinate plane, a line goes through points (0, 2) and (2, 0).
Answer:
its c
Step-by-step explanation:
im pretty sure lmk if i am wrong :)
The graph of the given line 2 x + y = 4 is a straight line and the coordinates present above the line will be ( 0, 4) and ( 2, 0) hence option (C) will be correct.
What is a line?A line section that can connect two places is referred to as a segment.
In other words, a line segment is just part of a big line that is straight and going unlimited in bdirections.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
A coordinate that is present in the line will always satisfy the equation of the line.
In the given option the coordinate (0, 4) and (2, 0) is satisfying the given eqution by substituting the value 2 x + y = 4 hence option (C) will correct.
For more about line segment
https://brainly.com/question/25727583
#SPJ6
How do I do this? I’m completely lost!!!
Answer:
f(5)=5²-2(5)
=25-10
=15
replace the x with five
What is the value of x?
7
7 square root 2
14
14 square root 2
Answer:
14
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , thus
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{7\sqrt{2} }{x}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
x = 7[tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 7 × 2 = 14
Answer:
x = 14i hope it helps :)Step-by-step explanation:
[tex]Hypotenuse = x \\Opposite = 7\sqrt{2} \\\alpha = 45\\\\\Using \: SOHCAHTOA\\Sin \alpha = \frac{Opposite}{Hypotenuse}\\ \\Sin 45 = \frac{7\sqrt{2} }{x} \\\\\frac{\sqrt{2} }{2} = \frac{7\sqrt{2} }{x} \\\\\sqrt{2x} = 14\sqrt{2} \\\\\frac{\sqrt{2x} }{2} = \frac{14\sqrt{2} }{2} \\x = 14[/tex]
Elena drank 3 liters of water yesterday. Jada drank 3⁄4 times as much water as Elena. Lin drank twice as much water as Jada. Did Lin drink more or less water than Elena? Group of answer choices
Answer:
Lin drank more water
Step-by-step explanation:
Given
Elena = 3 litres
Jada = ¾ of Elena
Lin = 2 times of Jada
Required
Determine if Lin drank more or less water than Elena
First, we have to get the actual amount of water Jada drank.
Jada = ¾ of Elena
Substitute 3 litres of Elena
[tex]Jada = \¾ * 3 litres[/tex]
[tex]Jada = 9/4 litres[/tex]
[tex]Jada = 2\¼\ litres[/tex]
Lin = 2 * Jada
Substitute 2¼ litres for Jada
[tex]Lin = 2 * 2\¼\ litres[/tex]
[tex]Lin = 2 * 9/4 litres[/tex]
[tex]Lin = 9/2 litres[/tex]
[tex]Lin = 4\frac{1}{2} litres[/tex]
Recall that Elena drank 3 litres
Comparing 3 Litres to [tex]4\frac{1}{2}[/tex] litres, we can conclude that Lin drank more water.
The Muller family are on holiday in New Zealand. a. They change some euros (€) and receive $1962 (New Zealand dollars). The exchange rate is €1 = $1.635. Calculate the number of euros they change. [3] b. The family spend 15% of their New Zealand dollars on a tour. Calculate the number of dollars they have left. [4]
Answer:
a. €1200;$1667.70
Step-by-step explanation:
a. Number of euros
[tex]\text{euros} = \$1962 \times \dfrac{\text{1 euro}}{\text{\$1.635}} = \textbf{1200 euros}[/tex]
b. Dollars remaining
Dollars on hand = $1962.00
Less 15 % spent = 0.15 × 1962 = -294.30
Balance remaining = $1667.70
1 1/3 minus 5/6 please help me out
Answer:
17/6
So this is the answer. If you want to convert to decimal... The answer will be 2.83..hope it is right
What is the volume of this figure?
Step-by-step explanation:
3 x 3 x 3 = 27
2 x 2 x 2 = 8
6 x 10 x 2 = 120
27+8+120=155m³
also being timed help!
Answer: 4
Step-by-step explanation:
Find the scale factor where the pre-image is the small triangle and the image is the large triangle.
Answer:
D
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to pre image
scale factor = [tex]\frac{18}{14}[/tex] = [tex]\frac{9}{7}[/tex] → D
A spinner has 3 red spaces, 5 white spaces, and 1 black space. If the spinner is
spun once, what is the theoretical probability of the spinner NOT stopping on
red?
P(Not red) =
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
If we have 3 red spaces, 5 white spaces, and one blank space, there are a total of 9 spaces.
Since there are 3 red spaces, there is a [tex]\frac{3}{9} = \frac{1}{3}[/tex] chance of getting a red. However, the question asks the probability of not getting a red, so the chances of not getting a red are [tex]1 -\frac{1}{3} = \frac{2}{3}[/tex].
Hope this helped!
The graph showing here is the graph of which of the following rational functions?
Answer: A
Step-by-step explanation:
The graph has a vertical asymptote at x = -2. In this situation, vertical asymptotes happen when the denominator equals zero, which leaves the function undefined. Therefore, find the answer choice whose denominator equals zero when x = -2.
A would be correct because when x = -2,
[tex]F(-2)=\frac{1}{-2+2}=\frac{1}{0}[/tex], which is undefined.