Answer:
Step-by-step explanation:
(a+b+c)²=a²+b²+c²+2ab+2bc+2ca
(2x-3y+4z)²=(2x)²+(-3y)²+(4z)²+2(2x)(-3y)+2(-3y)(4z)+2(4z)(2x)
=4x²+9y²+16z²-12xy-24yz+16zx
We know that,
→ (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca
Now Putting 2x = a, -3y = b and 4z = c , we get
→ (2x - 3y + 4z)²
→ (2x)² + (- 3y)² + (4z)² + 2 × 2x × (- 3y) + 2 × (- 3y) × 4z + 2 × 4z × 2x
→ 4x² + 9y² + 16z² - 12xy - 24yz + 16zx
Arranging according to the like terms, we get
→ 4x² - 12xy + 16zx + 9y² - 24yz + 16z²
▬▬▬▬▬▬▬▬▬▬▬▬pls help will mark brainliest
Answer:
C
Step-by-step explanation:
The other answers have inputs (x) that have multiple outputs (y) which goes against the definition of a function. For example in answer D zero has both the outputs of 7 and 52 which can not happen in order to be a function. However outputs can have multiple inputs just not the other way around.
Mitchell and his friends went to the candy store, where they can buy candy by the pound. Mitchell bought 1.2 pounds of candy. His friends bought 2.3 pounds and 1.8 pounds. About how many pounds of candy did they buy altogether?
rounding
Answer:
5.3 pounds
Step-by-step explanation:
1.2 plus 1.8 is 3 pounds
then you add 3 pounds plus 2.3 lbs and you get
5.3 pounds
Answer:
5.3
Step-by-step explanation:
If you add how much Mitchell bought (1.2) and how much his friends bought (2.3), (1.8) therefore the answer is 5.0 or rounded is just 5
Please helpppp
Find l.
Answer:
Step-by-step explanation:
radius of base=8/2=4 ft
l²=4²+9²=16+81=97
l=√97 ft
Its about similar figures and scale drawing
No links
Answer:
5 in
Step-by-step explanation:
by doing a proportion of 2/4 for the known sides, you can find that the smaller triangle has sides that are half of the larger one. so 10/2 equals 5
Answer: X = 5
Step-by-step explanation:
4 divided by 2 = 2
So 10 divided by 2 = 5
Jamal bought a diamond ring at a 20% discount. He paid $2640 for the ring. Naomi bought a similar ring but was given a discount of $924. What was the percentage discount given to Naomi?
Answer: 72%
Step-by-step explanation:
Set Jamal's original ring price = x
[tex]x - x(0.2) = 2640\\x(1-0.2)=2640\\x(0.8)=2640\\x=\frac{2640}{0.8}=3300[/tex]
Jamal's original ring price = $3300
Set Naomi's discount = y
[tex]3300-3300(y)=924\\=3300(1-y)=924\\1-y=\frac{924}{3300} \\-y=\frac{924}{3300} -1\\y=1-\frac{924}{3300}=1-0.28=0.72[/tex]
Naomi's discount is 0.72 = 72%
help leee plzzzzzzzbbbnbbbb
I need help with this it’s saying the “blank” Method would be the best for solving this system of equations
6x + 4y=8
-x+4y=12
Answer:
-12+4y=x..............1
6(-12+4y)+4y=8
-72+24y+4y=8
28y=80
y=3.33
-12+4(3.33)=x
1.32=x
Find the area of the square whose length is 3.5 inches?
Answer:
[tex]12.25[/tex]
Step-by-step explanation:
Area of square is
[tex] {s}^{2} [/tex]
where s is the side length.
3.5 is s so the answer is
[tex]3.5 {}^{2} = 12.25[/tex]
Answer:
Area = 12.25 square inches
Step-by-step explanation:
[tex]Given \ length \ of \ a \ side \ of \ the \ square = 3.5 \ inches \\ \\Area \ of \ a \sqaure \ = side \times side = 3. 5 \times 3.5 = 12.25 \ in^2[/tex]
Solve using suitable properties. Also mention the names of the property used. -3/4 × 4/5 - 1/2 × 1/4 +4/5 × 7/5
Answer:
0.395
Step-by-step explanation:
We need to solve the given expression.
[tex]-\dfrac{3}{4}\times \dfrac{4}{5}-\dfrac{1}{2}\times\dfrac{1}{4}+\dfrac{4}{5}\times \dfrac{7}{5}[/tex]
We can also write it as :
[tex]-\dfrac{3}{4}\times \dfrac{4}{5}+\dfrac{4}{5}\times \dfrac{7}{5}-\dfrac{1}{2}\times\dfrac{1}{4}\\\\=\dfrac{4}{5}(\dfrac{-3}{4}+\dfrac{7}{5})-\dfrac{1}{2}\times\dfrac{1}{4}[/tex](Distributive property is used)
So,
[tex]=\dfrac{4}{5}\times \dfrac{13}{20}-\dfrac{1}{2}\times\dfrac{1}{4}\\\\=\dfrac{4}{5}\times \dfrac{13}{20}-\dfrac{1}{8}\\\\=\dfrac{13}{25}-\dfrac{1}{8}\\\\=0.395[/tex]
So, the value of the given expression is equal to 0.395.
The scale on a map is 1cm = 250 km. What would be the distance on the map, if the actual distance between the two cities is 1,000km? *
Answer:
so if its actually 1000 and that map thing is 250
250 goes into 1000 4 times so
4cm
Hope This Helps!!!
In a survey of 600 students in a school. 150 student were found to be taking tea and 225 taking coffee, 100 were taking both tea and coffee Find how many Students were taking neither tea nor coffee
Answer:
125
Step-by-step explanation:
600=150+225+100+X=475+X
600-475=125=X
X=125
Answer: 325 I believe!
Step-by-step explanation:
The graphs below have the same shape. What is the equation of the blue graph?
Answer:
the answer is D
Step-by-step explanation:
Answer:
werwegwrvetvytby46bu46unu46e8mn667mmmm
Step-by-step explanation:m7
ui 6ei 67i77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777mmm
Is 7 1/5 times 49 7/5 equivalent to 343
Step-by-step explanation:
7 1/5=36/5
49 7/5=252/5
[tex] \frac{36 \times 252}{5 \times 5} \\ = \frac{9072}{25} \\ = 362.88[/tex]
not equal to 343
Brainliest please~
1.A dozen bananas cost nu; 24? a/how much do 3dozen bananas cost? b/what is the cost of 6bananas? c/what is the cost of 1banana's?
Answer:
12 banana cost=Rs.24
now
a)3dozen bananas=24/12×36=Rs.72
b)cost of 6bananas =24/12×6=Rs.12
c)cost of 1 banana =24/12×1=Rs.2
jordan wants to save to buy a car and decides to open a banking account that is offering an interest rate of 4.5% compounded annually how much will jordan have in the account after 5 years it he deposits $7,000 today?
Answer:
8,723.27$
Step-by-step explanation:
The question is in the image
Answer:
$9Step-by-step explanation:
f(x) = - 25 ( x - 9 )² + 200when x = 5 ,
f(5) = - 25 ( 5 - 9 )² + 200 = - 200
when x = 9 ,
f(9) = - 25 ( 9 - 9 )² + 200 = 200
when x = 10 ,
f(10) = - 25 ( 10 - 9 )² + 200 = 175
when x = 15 ,
f(15) = - 25 ( 15 - 9 )² + 200 = -700
∴ when price = $9
the company receive the maximum profit
Answer:
9$
Step-by-step explanation:
Use the zero product property to find the solutions to the equation x2 + 12 = 7x.
x = –4 or x = 3
x = –4 or x = –3
x = –3 or x = 4
x = 3 or x = 4
Answer:
x= 4, 3
The choose (d)
Step-by-step explanation:
x²+12=7x
x²-7x+12=0
(x-3)(x-4)=0
x=3
or x=4
Answer:
D
Step-by-step explanation:
on edge
1.) What is the domain and range of the function in the graph?
2.) What is the average rate of change over the interval [1, 0]?
Answer:
Domain → (-∞, ∞)
Range → (-2, ∞)
Step-by-step explanation:
1). Domain of a function is defined by the input values (set of x-values) and Range of the function is defined by the output values (set of y-values).
From the graph attached,
Function is defined for all real values of x.
Therefore, domain of the function will be (-∞, ∞).
On y-axis values of the function vary from -2 (excluding 2) to positive infinity.
Therefore, range of the function will be (-2, ∞).
2). Average rate of change of a function in the interval (a, b) is defined by,
Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]
By using this expression we can find the average rate of change in the given interval.
Please give the correct interval for which the average rate of change is to be calculated.
Find the equation of the line shown.
У.
4
3
2
х
4-3-2-19
B 46
Answer:
The equation is:
Y=2x-1
which of the gollowing cirxles lie completely within the third quadrant? Check all that apply
Option B
Option C
These two circles lie completely within the third quadrant
Answered by GAUTHMATH
f(x)=-x^2-9x find f(-2)
Answer:
14
Step-by-step explanation:
put -2 where x is
f(x)=-x^2-9x
f(-2)= -(-2)^2 -9(-2)
f(-2)= -4 + 18
f(-2)= 14
Henri bought a swim suit at a cost of $8. Which statements are true regarding the cost of the suit?
Answer:
What are the statements?
Step-by-step explanation:
Score for Question 2: ___ of 5 points) 2. Write the equation of the circle in general form. Show your work.
Answer:
[tex]x^2 + y^2 + 2x - 2y - 7 = 0[/tex]
Step-by-step explanation:
Given
See attachment for circle
Required
The circle equation
First, we get the radius of the circle.
From the attachment, we have:
[tex]r = 3[/tex]
Next, the center of the circle
[tex](h,k) = (-1,1)[/tex]
The equation of the circle is:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
This gives:
[tex](x - -1)^2 + (y - 1)^2 = 3^2[/tex]
[tex](x +1)^2 + (y - 1)^2 = 3^2[/tex]
Expand
[tex]x^2 + 2x + 1 + y^2 - 2y + 1 = 9[/tex]
Collect like terms
[tex]x^2 + y^2 + 2x - 2y + 1 + 1 - 9 = 0[/tex]
[tex]x^2 + y^2 + 2x - 2y - 7 = 0[/tex]
Hence, the equation in general form is:
[tex]x^2 + y^2 + 2x - 2y - 7 = 0[/tex]
Help and explain please !!!
Answer:
D
Step-by-step explanation:
f(x) = x-4
f(3.2) = -3.2-4
= -7.2
Can someone help me with this math homework please!
Answer:
addition one is: (1/2) + 5x - (1/2)= 8 - (1/2)
muliplcation one is: (4x)(1/4)=(3) (1/4)
subtracting one is: 3x-4+4=12+4
division one is: 55/11 = 11x/11
Step-by-step explanation:
Hope this helps and good luck :)))
john owns a truck. he rents out the truck with himself as a driver for $75 per hour. last month john earned $6375 how many of hours of work is that for john and his truck.
what is the equation of the line shown?
Answer:
y=1/2x+1/2
Step-by-step explanation:
the line intercepts at (0,0.5) which makes the y-intercept 1/2 and if you look at the slope, it increases 1 unit up and 2 units to the right so the slope is also 1/2
The equation of line is y= 1/2x+ 1/2.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Take points from the graph as (-1, 0) and (3, 2).
So, slope of line = (2 - 0)/ (3 -(-1))
= 2/4
= 1/2
Now, slope- intercept form
y- 0 = 1/2 ( x-(-1))
y= 1/2x + 1/2
Hence, the equation of line is y= 1/2x+ 1/2
Learn more about slope here:
https://brainly.com/question/3605446
#SPJ2
What are the solutions to the quadratic equation 3(x – 42 = 752
Graph: Y - 3 = 1/2 (x+2)
Answer:
see graph
Step-by-step explanation:
Personally I put into slope intercept form before graphing
y - 3 = 1/2 (x+2)
y -3 = 1/2x + 1
y = 1/2x + 4
4 is y-intercept
1/2 is slope. [tex]\frac{Rise= 1}{Run= 2}[/tex]
WILL GIVE BRAINLIEST AND 20 POINTS!
PLEASE SHOW WORK1
f={(−2,−5),(3,−1),(1,−1)} and g={(1,1),(−1,−2),(−4,1),(−3,−1)}
Find (f+g)(1).
Answer:
[tex](f+g)(1)=0[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle f=\left\{(-2, -5), (3, -1), (1, -1)\right\}\text{ and } \\ \\ g = \left\{(1, 1), (-1, -2), (-4, 1), (-3, -1)\right\}[/tex]
And we want to find the value of (f + g)(1).
Recall that this is equivalent to:
[tex]=f(1)+g(1)[/tex]
According to the set, f(1) = -1 and g(1) = 1. Hence:
[tex]=(-1)+(1)=0[/tex]