Step-by-step explanation:
remember, we need to get to an expression of the form
y = ax + b
1.
x + 5y = 5
5y = -x + 5
y = (-1/5)x + 1
2.
3x + 2y = 4
2y = -3x + 4
y = (-3/2)x + 2
3.
2x + y = 4
y = -2x + 4
4.
4x - 2y = 6
2y = 4x - 6
y = 2x - 3
5.
8x - 4y = 16
4y = 8x - 16
y = 2x - 4
6.
3x + 4y = 4
4y = -3x + 4
y = (-3/4)x + 1
7.
9x - 4y = -16
4y = 9x + 16
y = (9/4)x + 4
8.
2x - 5y = 10
5y = 2x - 10
y = (2/5)x - 2
9.
3x + 5y = 10
5y = -3x + 10
y = (-3/5)x + 2
10.
7x - y = 4
y = 7x - 4
PLEASE HELPP and no pictures please i can't see them on a school computer. Ill appreciate a step by step explanation than you! IM GIVING 40 POINTS
Answer:
a.
The area of the large circle is 225π cm² [exact] or 706.9 cm² [approximate].
b.
area = 50π/6 cm² [exact]
area = 26.2 cm² [approximate]
Step-by-step explanation:
This problem is easier to solve than it looks.
a.
Area of the large circle.
Look at the top left small circle, the middle circle, and the bottom right circle. You can draw a single line segment that is a diameter of the large circle and also contains the diameters of the three small circles. That means that the diameter of the large circle is 3 times the diameter of each small circle.
R and D are the radius and diameter, respectively, of the large circle.
r and d are the radius and diameter, respectively, of the small circles.
D = 3d
D = 6r = 6(5 cm) = 30 cm
R = 15 cm
A = πr²
A = π(15 cm)²
A = 225π cm²
The area of the large circle is 225π cm² [exact] or 706.9 cm² [approximate].
b.
There are 6 congruent spaces between the small circles and the large circle, and there are another, different 6 congruent spaces between the center circle and the 6 circles around it. The region we need is made up of one space of each type.
The combined area of all 12 spaces is the area of the large circle minus the total area of all the small circles. The area we need to calculate is 1/6 of that combined area.
area = (1/6)(area of large circle - total are of all small circles)
area = (1/6)[225π cm² - 7π(5 cm)²]
area = (1/6)[225π - 175π]cm²
area = 50π/6 cm² [exact]
area = 26.2 cm² [approximate]
Draw an ordered stem and leaf diagram to show this information.
245, 250, 251, 253, 258, 264, 267, 269, 273, 276
Key:24|5 means 245.
=========================================================
Explanation:
The key tells us how to set up the stem and leaf diagram. It says that [tex]24|5[/tex] represents the value 245.
This means that "24" is one of the stems. In fact, it's the smallest stem possible since there's nothing smaller than 240 on this given list of values.
The only leaf associated with this stem is 5. The stem 24 and the leaf 5 combine to form the number 245 as the key indicates.
--------------------------
In the next row is the stem 25. For this stem, we'll have the leaves of: 0, 1, 3, 8. The stem 25 and those leaves mentioned combine to form 250, 251, 253, 258 in that exact order. This time we'll use up four boxes for this row. The last box in this row is blank.
The remaining rows (stems 26 and 27) are handled in pretty much the same fashion. Let me know if you have questions how the boxes are filled in. It helps to start with sorted data from smallest to largest. Luckily, that's already been done for us.
The filled out chart is shown below. I replaced the stems 0,1,2,3 with 24,25,26,27.
PLEASE HELP ME ASAP!!!!
4 5/9 is the same as the sum of 2 1/3 and 5/6 times a number.
What is the number?
Enter your answer as a mixed number in simplest form in the box.
PLEASE ANSWER QUICK!!
Answer:
2 2/3
Step-by-step explanation:
TV and WY areparallellines. S T U V W X Y Z Which angles are corresponding angles?
Answer:
A picture provided would be better, but here's a picture to help you find an answer to your question.
Step-by-step explanation:
The two angles marked in red are corresponding angles on a pair of parallel lines. Corresponding angles are ALWAYS congruent to each other.
I need help finding the rule.
Answer:
y=3x+1
Step-by-step explanation:
The question is asking for an equation in slope-intercept form. This is y=mx+b, where m is slope and b is y-intercept. The slope is the change is y over the change in x. The y value changes 3 and the x value changes 1. So, the slope is 3/1 or just 3. The y-intercept is the value where the line intersects with the y-axis. Additionally, the y-intercept will have an x-value of 0. On the table, you can see that y=1 when x=0. Thus, the y-intercept is 1. Put the two values into the equation and you get y=3x+1.
line j passes through the point (-4,10) and (2,-8). Line k passes through the point (1,2) and is parallel to line j. Find an equation for line k.
Answer:
344444444433333338694
Step-by-step explanation:
Answer: y = -3x+5
Step-by-step explanation:
Which expressions are equivalent to a b/c
Answers:
[tex]\sqrt[c]{a^b}[/tex]
[tex](\sqrt[c]{a})^b[/tex]
Answer:
first 1 last 1 third 1 and forth 1
Step-by-step explanation:
what are rates and unit rates give me examples of rates and unit rates
Answer:
Step-by-step explanation:
The unit rate is the rate of the denominator of one unit. Unit rates are very common in our daily lives. For example, when we say we are traveling at 68 miles per hour, we mean we are traveling 68 miles in one hour. We'll write this rate as 68 miles/hour
randall wants to fill up 40 percent of the scare containers. what is this number as a fraction
Answer:
2/5
Step-by-step explanation:
Normally, percentage is expressed in 0 - 100 so for Randall to fill up 40% of his container, that means he'd fill out 40 out of a hundred. That's 40/100 which simplified will give you 2/5
Write an equation in slope-intercept form from the following points:
(-4,6) and (0,7)
Answer:
y = 1/4 * x + 7
Step-by-step explanation:
We start with the equation for slope-intercept y = mx + b -
Y is any y point on the line. X is any x point on the line. M is the slope of the line. B is the y-intercept of the line.
We first find the slope by using this equation (y2 - y1) / (x2 - x1) -
(7 - 6) / (0 - (-4))
1 / (0 + 4)
Slope = 1/4
Now we insert the slope into the equation -
y = 1/4 * x + b
As said before, Y is any y point on the line and X is any x point on the line, so we can choose a random point and insert it in to find the y-intercept -
(The equation already tells you the y-intercept (0, 7) but for checking, we will insert the point in too)
7 = 1/4 * 0 + b
7 = b
b = 7
The y-intercept of the line is (0, 7)
We insert the y-intercept in the equation -
y = 1/4 * x + 7
y = 1/4 * x + b is our answer to the problem.
Solving by Elimination
Answer:
unsolvable
Step-by-step explanation:
by elemination 14x+7y=-7 (1)
-14x-7y=7 (2)
x and y will be 0 then
Express in vertex form
Y=2x^2 - 2x - 5
Answer:
y = 2(x - [tex]\frac{1}{2}[/tex] )² - [tex]\frac{11}{2}[/tex]
Step-by-step explanation:
y = 2x² - 2x - 5 ← factor out 2 from the first 2 terms
= 2(x² - x) - 5
Using the method of completing the square
add/subtract (half the coefficient of the x- term)² to x² - x
y = 2(x² + 2(- [tex]\frac{1}{2}[/tex] ) x + [tex]\frac{1}{4}[/tex] - [tex]\frac{1}{4}[/tex] ) - 5
= 2(x - [tex]\frac{1}{2}[/tex] )² + 2(- [tex]\frac{1}{4}[/tex] ) - 5
= 2(x - [tex]\frac{1}{2}[/tex] )² - [tex]\frac{1}{2}[/tex] - 5
= 2(x - [tex]\frac{1}{2}[/tex] )² - [tex]\frac{11}{2}[/tex] ← in vertex form
How do you solve 100^(5x+2)=1000^(4x-1)?
When a system ofnliner equations has x-terms that are opposites how is x eliminated?
Answer:
When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable. We can eliminate the x-variable by addition of the two equations.
7⅕-2⅔x0,5 explain step by step
Step-by-step explanation:
7/5 - 2×2/3 × 0.5 = 1.4 - 2×0.5×2/3
= 1.4 - 1 ×2/3
=1/4 × 2/3
=1.5 - 0.6
Elise says, "If you subtract 17 from my number and multiply the difference by -3, the result is -61."
What is Elise's number?
Answer:
Elise's number is 112/3.
Step-by-step explanation:
You can form the equation: [tex]\left(x-17\right)\cdot -3=-61[/tex]
Solution: [tex]\frac{\left(x-17\right)\left(-3\right)}{-3}=\frac{-61}{-3}[/tex]
[tex]x-17=\frac{61}{3}[/tex]
[tex]x-17+17=\frac{61}{3}+17[/tex]
x=112/3
? 2x² – 3x - y = -5
-x+y=5
Answer:
2x^2- 3x - Y= -5 -x + Y = 5
there is no solve because it already is solved.
Step-by-step explanation:
If P(t) = 5e 0.89t
Then what is p(3)?
please!
Answer:
15.989
Step-by-step explanation:
i dont think you care
Class 10R sat a test.
The mean mark for the class was 70%.
There are 30 students in class 10R, 20 of whom are boys.
The mean mark for the boys in the test was 62%.
Work out the mean mark for the girls.
86%
Step-by-step explanation:30 students in the class with a mean average of 70% can be expressed as:
total class percent / 30 = 70%
Rearranged, this gives that the class achieved a total of 30x70 or 2100%.
20 boys in the class with a mean average of 62% can be expressed as:
total boys percent / 20 = 62%
Rearranged, this gives that the boys achieved a total of 20x62 or 1240%.
This means that the girls achieved 2100 - 1240 so 860%.
Because there are 30 students and 20 boys, there are 10 girls.
Then work out the mean with a total of 860% and 10 girls.
860/10 = 86%.
This is slopes— what is ( -11, -2 ) ( -15 , -18 ) ?
Answer:
m = 4
Step-by-step explanation:
The slope of two given points are:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points of (-11, -2) & (-15, -18).
[tex]m = \frac{-18+2}{-15+11} = \frac{-16}{-4}=\boxed{4}[/tex]
The slope of the line is 4.
Hope this helps.
i need the answer for
3-3 Mini Assessment | Constant of Proportionality in Graphs
Question
POSSIBLE POINTS: 1
The relationship between the number of ounces of tea purchased and the total cost of the tea is proportional as shown in the graph.
Which equation models this relationship?
y = 7/4x
y = 4/7x
y = 4/1x
y = 1/4x
Answer: y= (7/4)x
Step-by-step explanation:
Build a table of representative values and then calculate the slope between any 2 of the points. I'll pick (2,3.5) and (8,14) [See attachment. ]
The slope is the Rise/Run:
Rise = (14 - 3.5) = 10.5
Run = (8-2) = 6
Slope = Rise/Run: (10.5/6) = 1.75
The equation should read y = 1.75x.
None of the options works, as written, but note that 7/4 looks close to 1.75. In fact, 7/4 = 1.75.
Use the equation y = 1.75x and enter several values of x (the ounces purchased) and y (the total cost of the purchase). The attachment summarizes the results (Predicted), along with the actual values (Actual) taken from the graph. Excellent correlation, considering the difficulty in making precise graph readings.
Therefore y = (7/4)x
yo ill give brainliest if ur right help pls
Answer:
B or C. Im thinking C.
Step-by-step explanation:
Answer:
C, look at the problem and it says plus" directly look at the option and compare.
Step-by-step explanation:
pls help me for my geometry class
Answer:
I CANT SEE SRY
Step-by-step explanation:
what be the answer to this here mathematical equation and how do ye solve it? Asking for my pirate friend 7+x/3 = 2x-5
Answer:
YESSIR
Step-by-step explanation:
The 1st one was doable, but I don't understand the 2nd Question.
Answer: ? What are you talking about?
Step-by-step explanation:
Given f(x)=-x-4f(x)=−x−4, find f(4)f(4).
Answer:
1/4 or .25
Explanation
As for this specific question algebra is something I do in my head and skip many steps for however if you want to proof my answer it would be this.
-0.25-16*.25=-0.25-4
-0.25-4=-0.25-4
-4.25=-4.25
For the function f(x) = -x-4 the value of f(4) is -8.
The given function is f(x) = -x-4.
We need to find the value of f(4).
To find this we have to replace the x value with 4.
Substitute x=4 in the function:
f(4)=-4-4
f(4)=-8
Hence, the value of f(4) is -8.
To learn more on Functions click:
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1.what is the y-intercept f (x) = 3x+8/x-4?
a.-2
b.0
c.2
d.4
2.the horizontal asymptote of f (x) = 2x+5/x^2-3x+2?
a. y = -1
b. y = 0
c. y = 1
d. y = 2
3. what is the x - intercept of f (x) = 2x+6/x-1?
a.-5
b.-3
c.-1
d.0
4.what is the vertical asymptote of f (x) = x^2+5x+6/x-5?
a.x = -6
b.x = 0
c.x = 5
d.x = 6
5. what is the zero of f (x) = x^2-25/x+5?
a.-5
b.0
c.5
d.25
6.the oblique asymptote of f (x) = x^2=3x-5/x+2?
a.y = x + 1
b.y = x + 2
c.y = x + 3
d.y = x + 5
The Eubanks Answer:
Step-by-step explanation:hehus
Find the nth term of this number sequence
15, 12, 9, 6, ...
Answer:
18-3n
Step-by-step explanation:
The nth term of this number sequence is,
⇒ a(n) = 15 - 3 (n - 1)
What is Arithmetic sequence?An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.
Given that;
The sequence is,
15, 12, 9, 6..
Now, We can find the nth term as;
First term (a) = 15
Common difference (d) = 12 - 15 = - 3
We know that;
The nth term of the arithmetic sequence is,
⇒ a(n) = a + (n - 1) d
Hence, We get;
The nth term of this number sequence is,
⇒ a(n) = a + (n - 1) d
⇒ a(n) = 15 + (n - 1) (- 3)
⇒ a(n) = 15 - 3 (n - 1)
Thus, The nth term of this number sequence is,
⇒ a(n) = 15 - 3 (n - 1)
Learn more about the arithmetic sequence visit:
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I need help with this Pre-Cal question
Answer:
Step-by-step explanation:
Meera is choosing 2 books from the library. She is choosing from a selection of Science fiction, Biography and thriller. She can choose more than one of the same type. Write down all the combinations of two books that she could take
Step-by-step explanation:
She could take two science fiction, two biography, two thriller, one thriller and one science fiction, one thriller and one biography, one science fiction, and one biography
Answer: 3
Step-by-step explanation:
Science Fiction: SF
Biography: BI
Thriller: TH
SF:BI, TH
BI:TH
