2. A system of equations is solved by finding the intersections of when f(x) = g(x).
False
True
Answer:
true
Step-by-step explanation:
hard to explain,
hope it helps
It is true that when f(x) = g(x), the system of the equation is solved.
A statement to justify that A system of equations is solved by finding the intersections of when f(x) = g(x).
The equation is the relationship between variables as is an example of a polynomial equation.
Let, f(x) = ax+ by - - - - ( 1 )
g(x) = cx + dy - - - - -( 2 )
Both equations contribute to systems of equation.
When solving both equations ( 1 ) and ( 2 ).
We get values of x and y this x and y when put in the equation ( 1 ) and ( 2 ) we will get the same result and the result implies f(x) = g(x). So, it is true that when the system of equation is solved by intersections f(x) = g(x).
Thus, It is true that when f(x) = g(x), the system of the equation is solved.
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solve for 25x2 + 9 = 30x
Answer: [tex]x=\frac{3}{5}[/tex]
Step-by-step explanation:
Move all terms to one side.
[tex]25x^2+9-30x=0[/tex]
Rewrite [tex]25x^2+9-30x[/tex] in the form [tex]a^2-2ab+b^2[/tex], where [tex]a=5x[/tex] and [tex]b=3[/tex]
[tex](5x)^2-2(5x)(3)+3^2=0[/tex]
Use the Square of Difference: [tex](a-b)^2=a^2-2ab+b^2[/tex]
[tex](5x-3)^2=0[/tex]
Take the square root of both sides.
5x-3=0
Add 3 to both sides.
5x=3
Divide both sides by 5.
x= 3/5
the diagram shows a dilation of line AB about the origin O. Determine the scale factor of the dilation by following these steps.
Answer:
The scale factor is 1.5
Step-by-step explanation:
In the picture attached, the line AB is shown.
The first 3 steps are to measure some lengths
OA = 2 units OA’ = 3 units OB = 3 units OB’ = 4.5 unitsAB = 2.2 A’B’= 3.3The last 3 steps are to compute these ratios
OA'/OA = 3/2 = 1.5 OB'/OB = 4.5/3 = 1.5 A'B'/AB = 3.3/2.2 = 1.5Answer:
see explanation
Step-by-step explanation:
1. Measure these lengths:
OA - 2.0 units
OA' - 3.0 units
2. Measure these lengths:
OB - 3.0
OB' - 4.5
3. Measure these length's:
AB - 2.2
AB' - 3.3
4. Calculate the ration: OA' / OA = 1.5
5. Calculate this ratio: OB' / OB = 1.5
6. Calculate this ratio: A'B' / AB = 1.5
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]
SHOULD BE EASY!!! which one is it??? please i need help ASAP.
Answer:
Commutative property
Step-by-step explanation:
#4
Can someone help me please?
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:
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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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.
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The volume, V, of a rectangular solid is found using the equation V= Iwh, where I is the length, w is the width, and h is the height of the solid. A rectangular solid has length of 16 and height of 5. Which equation represents the volume of the solid, in terms of its width?
Answer:
Volume = length × width × height
length = 16
height = 5
V= 16 × w × 5
V = 80w
Hope this helps.
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
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]
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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
The function h(x) is a translation of the exponential function g(x) = 2(3)* - 4. What's
h(x) if the translation is a vertical stretch by a factor of 2, a vertical shift upward 9
units, and a horizontal shift to the right 7 units?
Answer: The correct answer is A
Step-by-step explanation:
The function h(x) is a translation of the exponential function,
[tex]g(x) = 2(3)^{x-4}[/tex] is [tex]h(x) = 4(3)^{x-7} - 9\\\\[/tex].
Given that,
The function h(x) is a translation of the exponential function,
[tex]g(x) = 2(3)^{x-4}[/tex]
We have to determine,
What's h(x) if the translation is a vertical stretch by a factor of 2, a vertical shift upward 9 units, and a horizontal shift to the right 7 units?
According to the question,
Exponential function; [tex]g(x) = 2(3)^{x-4}[/tex]
To find the translation in h(x) following all the steps given below.
Step1; The function h(x) is vertically stretched by 2.[tex]h(x) = 2(2(3)^{x-4} )\\\\h(x) = 4(3)^{x-4}[/tex]
Step2; Vertically shift upward by 9,[tex]h(x) = 4(3)^{x-4} \\\\h(x) = 4(3)^{x-4} - 9[/tex]
Step3; And a horizontal shift to the right 7 units,[tex]h(x) = 4(3)^{x-7} - 9\\\\[/tex]
Hence, The function h(x) is a translation of the exponential function,
[tex]g(x) = 2(3)^{x-4}[/tex] is [tex]h(x) = 4(3)^{x-7} - 9\\\\[/tex].
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PLSSSSS HELPPPP!!! A data set has a mean of 72 and a standard deviation of 3.5. The z-score for a data point is -1.2. What is the data point?
Answer:
D. The data point is 2.5 standard deviations away from 0.5.
Step-by-step explanation:
Z-score is the measure of how many number of standard deviations, the data point, is away from the mean. It also measures how many standard deviations below or above the population mean, a raw score is.
Given, a set of data has a mean (μ) of 0.5 and a standard deviation (σ) of 0.01 with a data point of the set has a z-score of 2.5.
i.e the data point is 2.5 standard deviations away from the mean 0.5.
Hope this helped!
Please help i always give brainliets and thanks
Please answer the following algebra question ASAP not too hard
Answer:
(3)
Step-by-step explanation:
(1), (2) and (4)
can be written as Fr= p1-p2, F and r are inversely proportional
(3) r is directly proportional with F which is opposite to the given formula
hence this is incorrect
Hello All,
Please look at attached.
They are Maths Questions.
I will give Brainliest and also give 15 points.
Please remember to ask me questions if you do not understand
Cheers,
Jake
Answer: (going down the table)
1) 5, 8, 6, 1
2) 2, 6, 10, 2
Step-by-step explanation:
count how many are in that bracket.
EG:
1) the amount of numbers between 5 and 10, including 5
etc
Which is the graph of fx=2(3)^x
Answer:
The graph is attached below. Just google it "plot(2(3)^x)"
write a function rule that relates r and t.
Input r: -2, 0, 2, 4, 6
Output t: 0, -1, -2, -3, 1
Answer: [tex]t=-\frac{1}{2}r- 1[/tex]
Step-by-step explanation:
For a lineal equation [tex]t=mr+n[/tex]
For r=0 and t=-1
[tex]-1=m(0)+n\\n=-1[/tex]
For r=-2 and t=0
[tex]0=m(-2)-1\\m(-2)=1\\m=-\frac{1}{2}[/tex]
Them [tex]t=-\frac{1}{2}r- 1[/tex]
???? The output for 6 is 1????
7. The temperature in Springfield at 10:00 a.m. was 78°F. During the day, it dropped to 56°F. Write and solve an equation to
find the decrease in temperature.
Answer:
78-56=22 degrees
Step-by-step explanation:
You wanna take away 56 degrees from 78 degrees and you will get ....
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
Need help AsAp WIll give brainlist!!!
Answer:
-5
Step-by-step explanation:
Score in first round = +15
Scores lost in second round = -30
Score in third round = 10
Total points = 15+-30+10= -5
list the first 3 terms, then evaluate
Answer:
[tex]\sum\limits_{i=1}^{10}(1-2i)=-100[/tex].
Step-by-step explanation:
The given expression is
[tex]\sum\limits_{i=1}^{10}(1-2i)[/tex]
We need to find first 3 terms, then we have evaluate the value.
Here,
[tex]a_i=1-2i[/tex]
For i=1,
[tex]a_1=1-2(1)=1-2=-1[/tex]
For i=2,
[tex]a_2=1-2(2)=1-4=-3[/tex]
For i=3,
[tex]a_3=1-2(3)=1-6=-5[/tex]
So first three terms are -1,-3,-5. It is an AP with first term -1 and common difference -2. So, next 7 terms are -7,-9,-11,-13,-15,-17,-19.
Now,
[tex]\sum\limits_{i=1}^{10}(1-2i)=(-1)+(-3)+(-5)+(-7)+(-9)+(-11)+(-13)+(-15)+(-17)+(-19)[/tex]
[tex]\sum\limits_{i=1}^{10}(1-2i)=-100[/tex]
Therefore, the value of [tex]\sum\limits_{i=1}^{10}(1-2i)[/tex] is -100.
I need help on these two questions please.
Answer:
They are similar
Step-by-step explanation:
Which point is on the graph of the equation y = 2 x - 5?
1. (3, -1)
2. (2, -5)
3. (4, 2)
4. (2, -1)
Answer:
4
Step-by-step explanation:
the correct answer is number 4
if X = 2 ==> 2x -5 = 2(2) -5 = 4 - 5 = -1
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)
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:
need answered ASAP pleaseee
Answer:
the answer for this question is -30
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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can anyone help me and please explain
The answer is r=2/5b