rewrite the equation by completing the square 3+x=x^2+3x
Answer:
[tex](x+1)^2=4[/tex]
Step-by-step explanation:
[tex]3+x=x^2+3x[/tex] is our equation first, get all the x terms on one side so the equation equals a constant number[tex]3+x-(x)=x^2+3x-x\\3=x^2+2x\\x^2+2x=3[/tex] Then add to both sides the square of half of the coefficient of x : the coefficient of x here is 2 sothe square of half of 2 is [tex](1)^2[/tex] then[tex]x^2+2x+(1)^2=3+(1)^2\\x^2+2x+1=4\\[/tex] If you factor the left side you get [tex]x^2+2x+1=4\\(x+1)^2=4[/tex]Answer:
(x+1)^2 =4
x=-1±2
Step-by-step explanation:
I got it right on khan
Write the following numbers in scientific notation 56,089
Answer:5.6089*10^4
Step-by-step explanation:
A seagull is 19 feet above sea level. A fish swimming at the opposite distance of the seagull. What integer represents the fish?
Answer:
The integer representing the fish's depth is -19.
Step-by-step explanation:
B The veterinarian weighs Anthony's
dog at a check up. The dog weighs 55
pounds. If 1 kilogram is approximately
2.2 pounds, which value best
represents the weight of Anthony's
dog in kilograms?
Answer:
25 kg.
Step-by-step explanation:
the dog is approximately 55 pounds and we know 1 kg is approximately 2.2 pounds. 55 divided by 2.2 is 25. the dog is approximately 25 kg.
I thought i had the right answer, but it was wrong. So anyone want to to help me with this? Please dont steal points. 7 points each!
Answer:16 dollars per shirt
Step-by-step explanation:
Answer:
$16 profit per sweater
Step-by-step explanation:
$130-$50=$80
$80÷5=$16
Identify the y-intercept and the axis of symmetry for the graph of f(x) = 10x^2 + 40x + 42.
a
42; x = 4
b
42; x = –2
c
–42; x = 2
d
0; x = –4
Answer:
b)42, x=-2
Step-by-step explanation:
Answer:
The option 'b' is correct.
Step-by-step explanation:
Given the function
[tex]f\left(x\right)\:=\:10x^2\:+\:40x\:+\:42[/tex]
Determining the y-intercept
The y-intercept can be obtained by setting the value x = 0
[tex]y\:=\:10x^2\:+\:40x\:+\:42[/tex]
[tex]y\:=\:10\left(0\right)^2\:+\:40\left(0\right)\:+\:42[/tex]
[tex]= 0+0+42[/tex]
[tex]=42[/tex]
Therefore, the y-intercept is:
(0, 42)Determining the axis of symmetry
Given the equation
[tex]y=\:10x^2\:+\:40x\:+\:42[/tex]
For a parabola in standard form [tex]y=ax^2\:+\:bx\:+c[/tex]
the axis of symmetry is the vertical line that goes through the vertex
[tex]x=\frac{-b}{2a}[/tex]
so
The axis of symmetry for [tex]y=ax^2\:+\:bx\:+c[/tex] is [tex]x=\frac{-b}{2a}[/tex]
[tex]a=10,\:b=40[/tex]
[tex]x=\frac{-b}{2a}[/tex]
[tex]x=\frac{-40}{2\cdot \:10}[/tex]
[tex]x=-2[/tex]
Therefore, the option 'b' is correct.
954÷70
and remainder
Answer:
13 with a remainder of 44
Step-by-step explanation:
.
What is the distance between the points (8,-4) and (-5, -4)
Answer: 13
Step-by-step explanation:
please help me out with this question.
much appreciation. Thanks.
Answer:
there is nothing
Step-by-step explanation:
Which ones are equivalent?
Answer:
1st one, 3rd one, and 5th one.
Answer:
The first, third and the fifth.
Step-by-step explanation:
First one is equivalent
√(8^2*8^2)
= √64*64
= √64.
8^1/2 * 8^1/2
= 8^1
= √64.
√(16*4)
= √64.
Solve the inequality 4y + 3 > 2y + 14
9514 1404 393
Answer:
y > 11/2
Step-by-step explanation:
Subtract 2y+3 to get the variable term alone on one side.
2y > 11
y > 11/2 . . . . . . divide by the coefficient of y
Help me plz very hard
Answer:
19
Step-by-step explanation:
Answer:
y=19
Step-by-step explanation:
your equation is y=6x-11 with an input of 5 so you plug in 5 for x.
% times 6 is 30 and 30 minus 11 is 19
An employee worked 36 hours last week. This week, she worked 48 hours. Find the percent increase. Round to the nearest percent.
Answer:
To the nearest percentage, percent increase is 33%
Step-by-step explanation:
Mathematically;
Percentage increase = (new - old)/old * 100%
new = 48 hours
old = 36 hours
% increase = (48-36)/36 * 100%
12/36 * 100%
1/3 * 100%
= 33.33%
Answer: 33% increase
Step-by-step explanation:
An alloy consists of nickel, zinc, and copper in the ratio 2:7:9.
a
How much of each metal is needed to make 3.6 kg of this alloy?
Answer:
0.4kg, 1.4kg and 1.8kg
Step-by-step explanation:
Given parameters:
Mass of alloy = 3.6kg
Ratio of elements in the alloy = 2:7:9
Unknown:
Mass of each element in the alloy = ?
Solution:
To find the mass of each element in the alloy, first find the sum of the ratio;
2+7+9 = 18
Mass of nickel = [tex]\frac{2}{18}[/tex] x 3.6 = 0.4kg
Mass of zinc = [tex]\frac{7}{18}[/tex] x 3.6 = 1.4kg
Mass of copper = [tex]\frac{9}{18}[/tex] x 3.6 = 1.8kg
The mass of each metal is 0.4kg, 1.4kg and 1.8kg
Answer:
Nickle=0.4
Zinc=1.4
Copper=1.8
Step-by-step explanation:
Find the value of c that completes the square
x^2+7x+c
Please help me with how to do this, and show me. Thank you.
Answer:
c = [tex]\frac{49}{4}[/tex]
Step-by-step explanation:
Given
x² + 7x + c
To complete the square
add ( half the coefficient of the x- term )² to x² + 7x
x² + 2([tex]\frac{7}{2}[/tex] )x + [tex]\frac{49}{4}[/tex] , thus
= (x + [tex]\frac{7}{2}[/tex] )² ← a perfect square
with c = [tex]\frac{49}{4}[/tex]
is y = -4 + 2x linear?
Answer: it is linear
Step-by-step explanation: Find the degree of the equation to determine if linear.
Answer:
Yes
Step-by-step explanation:
Look up Desmos, it is graphing calculator... it will really help. REAL EXPLANATION: You put one point on -4, then do rise over run (2/1x), thus go up to over one. So on and so forth; this will result in a linear line.
0.08 as a ratio term
Answer:
4:10=2:5
Step-by-step explanation:
Answer:
4:10 can be used as a ratio term
There were 43 children at the playground. Now there are 27 children at the playground. How many children left the playground? Ben says that 13 children left the playground. He thinks that 43 – 30 is easier to subtract than 43 – 27. He subtracts 43 – 30 and gets 13. Why is Ben's reasoning not correct?
Ben is incorrect because Ben did not answer the question according to the available information. The fact that subtracting 43 from 30 is easier for Ben does not mean it is the correct answer.
Help ASAP if you want brainliest
Answer:
Its C
Step-by-step explanation:
Answer:
c.27/31 fluid ounce...
Solve For X:
25 + 8x = 1
Answer:
x=-3
Step-by-step explanation:
Answer:
x=-3
Step-by-step explanation:
25+8x=1
8x=-24
x=-3
Please help! Thank you!!
Jake bought two shirts and one pair of pants for six dollars mike bought one shirt and one pair of pants for four dollars how much is each shirt and each pair of pants the system of equations used to solve this would be 2X plus Y equals six and X plus Y equals four
Whoever gives me points and thanks gets them back :O
Answer:
i gotchu
Step-by-step explanation:
whats the percent change of 10 gallons to 24 gallons
Answer: 140%
Step-by-step explanation:
Answer:
140%
Step-by-step explanation:
BRAINLIEST PLSSSS
Please help! Only if you know though :))$
Answer:
180
Step-by-step explanation:
Quadrilateral ABCD undergoes a reflection across the x-axis to form quadrilateral a b c d the coordinates of a r the reflected quadrilateral a b c d is then translated three units to the right and third and two units up to form quadrilateral a quotation b quotation quotation see quotation
Solution :
From the figure,
The coordinates of --
A = (-5,-3)
B = (-6,-1)
C = (-3,-1)
D = (-2,-3)
When it undergoes reflection about x-axis, we have the coordinates of the quadrilateral as
A' = (-5,+3)
B' = (-6,+1)
C' = (-3,+1)
D' = (-2,+3)
Now A'B'C'D' is translated 3 units to right, so the coordinates will be --
A" = (-2,3)
B" = (-3,1)
C" = (0,1)
D" = (1,3)
When the quadrilateral moves third and two units up, we get
A"' = (3,3)
B"' = (2,1)
C"' = (5,1)
D"' = (6,3)
Answer:
Step-by-step explanation:
The Number of students in a chess club decreased from 24 to 17. What is the percent decrease? Round your answer to the nearest percent
Find the fraction, decimal, or percent that is NOT equivalent to 2.3?
23/10
230%
2.3%
Answer:
23/10
Step-by-step explanation:
after eating at a restaurant the bill for your table is $62.50. There is a 6% sales tax and you want to leave a tip for 18% based on the pre-tax amount. How much money do you need to cover your final bill?
Answer:
Step-by-step explanation:
Your bill is $62.50
$62.50 * .06 = $3.75 (this is your sales tax added)
So your total is up to: $66.25
Adding the tip the same way using $66.25 *.18 = $11.93
Tip would be $11.93
Total coming to: $78.17
hope this helps
Answer:
$77.50
Step-by-step explanation:
Tax:
62.50x0.06= 3.75
3.75+62.50= 66.25
Tip:
62.50x0.18= 11.25
Answer:
66.25+11.25= 77.50
(i) 25x4 – x2 - 6x -9
Answer:8x+91
Step-by-step explanation:8x + 91