Answer:
Figure 1
The coordination of D is (a,0) and E is (b,c)
figure 2
The coordination of D is (0,b) and E is (a,0)
Solve for y: 3y + 6 = -45
Answer:
Step-by-step explanation:
solution :
y = -17
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*y+6-(-45)=0
Step by step solution :
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
3y + 51 = 3 • (y + 17)
Equation at the end of step 1 :
Step 2 :
Equations which are never true :
2.1 Solve : 3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
2.2 Solve : y+17 = 0
Subtract 17 from both sides of the equation :
y = -17
solution was found :
y = -17
need answered ASAP pleaseee
Answer:
the answer for this question is -30
Joe took $12 to the arcade. Each game cost $.50 to play. This situation can be modeled with the equation y + -.50 x+ 12. This represents the relationship between money Joe has remaining, y, and the number of games he plays, x. Use the function to determine the x-intercept.
State the Domain and Range for this equation in the context of the problem scenario?
Answer:
x-intercept: x=24
DOMAIN: (0,24) where x∈Natural Numbers
RANGE: (0,12) where y∈Natural Numbers
Step-by-step explanation:
Remain money = y
Number of games = x
Given function:
[tex]y=12-0.5x\\[/tex]
x-intercept:x-intecept is the value of x where y becomes zero.
Substitute y=0 in the given equation:
[tex]0=12-0.5x\\0.5x=12\\x=\frac{12}{0.5}\\x=24[/tex]
Domain:Domain is a set of all possible values of x.
x= No. of games (So x cannot be negative)
y= Remain Amount (So y cannot be negative)
So the minimum value of x is 0 because x cannot be negative.
Maximum value of x is the value for which y doesn't become negative. For any value of x>24, y <0 which is not possible.
So maximum value of x is 24
DOMAIN: (0,24) where x∈Natural Numbers
Range:
Range is a set of all outcomes of y for all possible values of x.
For x=0 , y =12
for x=24 , y = 0
So
RANGE: (0,12) where y∈Natural Numbers
Evaluate 6 - 2(-1) + | -5 |
Answer:
13
Step-by-step explanation:
6 - 2(-1) + | -5 |
The absolute value means take the non-negative value
6 - 2(-1) + 5
Multiply
6 +2 + 5
Add
8+5
13
On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The
number b varies directly with the number a. For example b = 2 when a = -2. Which equation represents this direct
variation between a and b?
b = -a
-b= -a
b - a = 0
b(-a)=0
Answer:
b=-a
Step-by-step explanation:
we know that b is located the same distance from 0 as another number, a, but in the opposite direction.
so the sum of the two numbers equal zero
a+b=0
a=-b or b=-a
Convert 36 inches to feet. There are 12 inches in a foot.
Answer:
3 feet
Step-by-step explanation:
PLEASE HELP, BEEN STUCK FOR AN HOUR!!
Function f is an exponential function that has an initial value of 64 and decreases by 50% as x increases by 1 unit.
Function g is represented by the table.
x 0 1 2 3 4
g(x) 75 43 27 19 15
Which statement correctly compares the two functions on the interval [0, 4]?
A.
Both functions are decreasing at the same average rate on that interval.
B.
Function f is decreasing, but function g is increasing, on that interval.
C.
Both functions are decreasing, but function f is decreasing at a faster average rate on that interval.
D.
Both functions are decreasing, but function g is decreasing at a faster average rate on that interval.
Answer: C.
Both functions are decreasing, but function f is decreasing at a faster average rate on that interval.
Step-by-step explanation:
Let first work out g(x)
When x = 0
g(x) = 75
When x = 1
g(x) = 75( 1 - 50%)
g(x) = 75(0.5) = 37.5
Which is less than 43
With this, we can conclude that:
Both functions are decreasing, but function f is decreasing at a faster average rate on that interval.
Answer:
Step-by-step explanation:
The awnser is c because the person above me was right
What is the area of the figure shown in the picture?
Answer:
69.82in^2
Step-by-step explanation:
Rectangle
[tex]A=lw\\=5*12\\=60in^2[/tex]
Semicircle
[tex]A=\frac{1}{2} \pi r^2\\=\frac{1}{2} \pi 2.5^2\\=9.82in^2[/tex]
Add altogether
60+9.82
=[tex]69.82in^2[/tex]
Rewrite the expression with rational exponents as a radical expression by extending the properties of the integer exponents
Answer:
C
Step-by-step explanation:
[tex]\frac{y^{3/4} }{y^{1/2} }[/tex] Original expression
[tex]y^{\frac{3}{4}-\frac{1}{2} }[/tex] Division Property of Exponents
[tex]y^{\frac{3}{4}-\frac{2}{4} }[/tex] Find a common denominator (4)
[tex]y^{\frac{1}{4} }[/tex] Simplify
[tex]\sqrt[4]{y}[/tex] Rewrite as a radical expression (an exponent of 1/4 is equivalent to the 4th root of the expression)
Please help! Read question 5.
Lines a and b are parallel. If the slope of line a is 3 , what is the slope of line b?
A. -3
B. -1/3
C. 1/3
D. 3
Answer:
D.
Step-by-step explanation:
They are parallel and therefore has the same slope.
There are 42 citizens called for jury duty. Eleven are randomly chosen to for the interview phase. How many different ways can the group of interviewees be made?
The quick way to get the answer is just type "42 choose 11" into Google.
Or if you want to figure it out yourself, you have 42 choices for the first potential juror, 41 choices for the second potential juror, etc.
Now before you stop there, you only care about the combination of the 11 people chosen, not what order they are selected, so you need to divide by the ways to arrange 11 people.
Final expression:
C(42,11) = (42 * 41 * 40 * 39 * 38 * 37 * 36 * 35 * 34 * 33 * 32) / (11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)
Answers:
4,280,561,376 ways
Answer:
42,11
Step-by-step explanation:
When you give an exact answer for the volume of a cylinder, you will always have ____ in the answer.
Answer:
Step-by-step explanation:
height
pls help show ALL work
Answer:
B. 5.81
Step-by-step explanation:
So to get this answer, you'd first find how much square inches are on the cheese. We know its 9/10 of the pizza and the pizza is 215 square inches. To find out what is 9/10 of the pizza you'd multiply 215 by 9 then divide by 10. That'd leave you with 193.5 then you multiply that by the cost $0.03 then get 5.805 which rounds up to 5.81.
Which is the equation of a line that has a slope of One-half and passes through point (2, –3)?
Answer: y=1/2x-4
Step-by-step explanation:
Since we are given the slope, we can use the slope-intercept form to find the y-intercept.
y=1/2x+b
-3=1/2(2)+b
-3=1+b
b=-4
Now that we know our y-intercept, we can fill in our slope-intercept equation.
y=1/2x-4
Answer:
a
Step-by-step explanation:
Which is the graph of fx=2(3)^x
Answer:
The graph is attached below. Just google it "plot(2(3)^x)"
Which expression is equivalent to sqrt 100
Answer:
10
Step-by-step explanation:
[tex]\sqrt{100} \\=10[/tex]
because [tex]10^2 = 100[/tex]
√10², √10×10 are the equivalent expressions of √100.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is √100.
Square root of 100.
Equivalent expressions are expressions that work the same even though they look different.
√100
Square root of ten square.
√10²
Square root of ten times of ten.
√10×10
Ten
10
Hence, √10², √10×10 are the equivalent expressions of √100.
To learn more on Expressions click:
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In the diagram below of circle o, chords AB and CD intersect at E.
If CE = 10, ED = 6, and AE = 4, what is the length of EB?
AWARDING MAX POINTS
Answer:
The length of EB is found 15
Step-by-step explanation:
As the diagram of the circle is not given in the question, I've found the diagram of the same question from internet and attached below. So that we can have a better understanding)
We can see in the diagram the chord AB and chord CD intersect each other at point E.
Each of the chord is divided into two segments.
According to the Intersecting Chords Theorem:
Products of the lengths of line segments on each chord are equal
Which means that
(AE)(EB) = (CE)(ED)
Substitute the given values;
(4)(EB) = (10)(6)
4(EB) = 60
EB = 15
Answer:
The length of EB is found 15
Step-by-step explanation:
As the diagram of the circle is not given in the question, I've found the diagram of the same question from internet and attached below. So that we can have a better understanding) We can see in the diagram the chord AB and chord CD intersect each other at point E. Each of the chord is divided into two segments. According to the Intersecting Chords Theorem: Products of the lengths of line segments on each chord are equal Which means that (AE)(EB) = (CE)(ED) Substitute the given values; (4)(EB) = (10)(6) 4(EB) = 60 EB = 15
Inductive reasoning is when someone uses lots of data to make a conjecture
A. True
B. False
Please answer this I need help now
The answer to that question is true.
We have given that,
Inductive reasoning is when someone uses lots of data to make a conjecture.
What is the Inductive?Inductive is most often used to describe a kind of reasoning or logic where general theories are formed from specific examples or incidents.
We have to determine whether the statement is true or false.
The answer to that question is true.
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y = 6x - 11
- 2x – Зу = -7
Solve the systems of equations by substitution
The systems of equations y = 6x - 11 and - 2x – Зу = -7 has solution (2, 1).
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given system of equations are y = 6x - 11 and
- 2x – Зу = -7
substitute y value in second equation.
-2x-3(6x-11)=-7
Apply distributive property
-2x-18x+33=-7
Combine the like terms
-20x+33=-7
Subtract 33 from both sides
-20x=-7-33
-20x=-40
Divide both sides by 20
x=2
Now subtract x=2 in equation 1
y=12-11=1
Hence, the systems of equations y = 6x - 11 and - 2x – Зу = -7 has solution (2, 1).
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For f(x)=4x+1 and g(x)=x^2-5 , find (fg) (x) .
A.4x^3+x^2-20x-5
B.4x^3+x^2-5x-5
C.4x^3+x^2-4x-6
D.4x^2-19
Answer:
the answer is B.
4x^3+x^2-5x-5
Step-by-step explanation:
i need help with both questions on the screen. if you can only answer one thats fine too!
Answer:
11. [tex]b = 30[/tex]
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2}[/tex]
Substitute
[tex]16^{2} + b^{2} = 34^{2}[/tex]
[tex]256 + b^2 = 1156[/tex]
[tex]b^2 = 1156-256\\b^2 = 900[/tex]
[tex]b = \sqrt{900}[/tex]
[tex]b = 30[/tex]
Your welcome and don't forget to say Thanks
At East Middle School 28% of the students are in the band.If 168 students are in the band,how many students go to East Middle School?
Plz Help me.I will give you max points
Answer:
600
Step-by-step explanation:
% of students in the band = 28%
No. of students who are in the band = 168
Let us take the total no. of students as x
So, 28/100×x=168
= 600
Examine the two-step equation. -7/4+x/4=2 Which property of operations allows you to add the same constant term to both sides? multiplication property of equality division property of equality addition property of equality subtraction property of equality
Answer:
Addition property of equality
Step-by-step explanation:
Answer:
The correct asnwer for this question is C. addition property of equailty
Hope this helps, and have a wonderful day! :)
Step-by-step explanation:
Solve for x.
−6≥10−8x
Enter your answer as an inequality.
Answer:
x≥2
Step-by-step explanation:
-6≥10-8x
+6 +6
= 0≥16-8x
+8x +8x
= 8x≥16
/8 /8
= x≥2
Answer:
2≤x
Step-by-step explanation:
−6≥10−8x
Subtract 10 from each side
−6-10≥10-10−8x
−16≥−8x
Divide each side by -8, remembering to flip the inequality
-16/-8 ≤-8x/-8
2 ≤x
which of these can be rewritten as an exact answer without the square root symbol? √4 √125 √0.6 √12.35 Thank you :)
Answer:
[tex]\sqrt{4}[/tex]
Step-by-step explanation:
Because
→ [tex]\sqrt{4}[/tex] is equal to 2
→ [tex]\sqrt{125}[/tex] is equal to [tex]5\sqrt{5}[/tex] or 11.18033989
→ [tex]\sqrt{0.6}[/tex] is equal to [tex]\frac{\sqrt{15} }{5}[/tex] or 0.7745966692
→ [tex]\sqrt{12.35}[/tex] is equal to 3.514256678
Answer:
√4
Step-by-step explanation:
√4 = 2
The other ones can only be approximated:
√125 = 5√5 ≈ 11.18033
√0.6 ≈ 0.774597
√12.35 ≈ 3.51426
What is the value of y?
Answer: ∠JKM = 106\textdegree and
∠JKM = 74\textdegree
Step-By-Step-Explanation
Since we have given that
∠JKM=10y+6
∠MKL=8y-6
Since they are linear pairs ,
So,
∠JKM =
and
∠MKL =
8(3+a)=64 what is a=?
Answer:
5
Step-by-step explanation:
8(3 + a) = 64
3 + a = 8
a = 5
The value of a is 5.
please see the attached picture for full solution
hope it helps
Good luck on your assignment
Aisha wants to paint the four walls of her living room. Each wall is 2.1 m high and 4.5 m long. One wall has a door of 1.8 m by 0.9 m. Tins of paint cost £10 per 1.5 L tin. Each litre of paint can cover 12 m2 of wall. There is an offer of: Buy 2 tins get the 3rd at half price. How much will Aisha pay to paint her living room?
Answer:
£25 or £20.10
Step-by-step explanation:
calculate the area to be painted:
2.1x4.5= 9.45m^2 for each wall
x4= 37.8m^2
area of door= 1.8x0.9= 1.62m^2
subtract the area of the door from the wall area
37.8-1.62= 36.18m^2 to be painted
divide the area by the area that 1L of paint can cover
16.18/12= 3.015 L needed
if 1.5L= £10 then, 3L= £20. she needs 2 cans + an extra 0.015 L- so another can (3 cans total) add price up.
£30- but buy 2 get 3rd 1/2 price, so take £5 off. price is £25
or
calculate price for 0.015L
1.5=£10
divide both sides by 100
0.015= £ 0.10
if 1.5L= £10 then, 3L= £20. she needs 2 cans + an extra 0.015 L
£20+£0.10= £20.10
I DONT KNOW IF THIS IS RIGHT but hope it helps :)
Answer: 25
Step-by-step explanation:
Lewis told me
8. ABCD is a quadrilateral. Work out the size of y.
B
2y
A
68°
y +48°
D
C
Answer:
y+48degrees
Step-by-step explanation: