Solve the following equation using the completing the square method:
x2+8x=3
Answer:
x= plus or minus square root of 19 -4
Step-by-step explanation:
x^2+8x ___=3
take half of your b term (8) and then multiply by two and add or subtract it to both sides
x^2+8x+16=3+16
then combine like terms
x^2+8x+16=19
then factor your quadratic equation
(x+4)^2=19
now solve for x
take the square root of (x+4)^2 to get rid of the ^2
you then also have to square the 19 because what you do to one side you have to do to the other
(x+4)= square root of 19
subtract 4 from both sides
x= plus or minus square root of 19 -4
Answer:
Step-by-step explanation:
Divide the coefficient of x by 2
8/2 = 4. Now find the square of 4 = 4² = 16
Add 16 to both sides of the equation
x² + 8x + 16 = 3 + 16
x² + 2* x * 4 + 4² = 19
{Compare with a² + 2ab + b² = (a + b)² }
(x + 4)² = 19
Both sides take square root,
[tex]\sqrt{(x+ 4)^{2}}=\sqrt{19}\\\\x + 4 = \sqrt{19}[/tex]
x + 4 = ± 4.36
x + 4 = 4.36 ; x + 4 = -4.36
x = 4.36 -4 ; x = -4.36 - 4
x = 0.36 ; x = - 8.36
if ∠1 and ∠2 are complementary angles, ∠1 and ∠3 are vertical angles, and m∠2 = 36°, find m∠3.
Answer:
28>
Step-by-step explanation:
Omar invited 96 peoples to an engagement party.
Only 60 of the people invited came to the party?
Express 60 as a percentage of 96.
Help me plz
Answer:
62.5%
Step-by-step explanation:
solve. 2x−4+2x=−6x−2
Answer:
x = 1/5
Step-by-step explanation:
2x − 4 + 2x = −6x −2
Combine the like terms (2x)
Result:
4 − 4 = − 6 − 2
Add 4 to both sides:
4 − 4 + 4 = − 6 − 2 + 4
Result:
4 = − 6 + 2
Add 6x to both sides.
4 + 6 = − 6 + 2 + 6
Result:
1 0 = 2
Divide both sides by 10:
1 0 / 1 0 = 2/ 1 0
Result:
x = 1/5
Therefore, x = 1/5 would be your answer.
-kiniwih246
5/8 multiplied by 3/4 + 1/2
Answer:
31/32 or 0.96875
Step-by-step explanation:
first you muliply 5/8 by 3/4 then the answer add it to 1/2
The graph represents function 1 and the equation represents function 2:
A graph with numbers 0 to 4 on the x-axis and y-axis at increments of 1. A horizontal straight line is drawn joining the ordered pairs 0, 3 and 4, 3.
Function 2
y = 4x + 1
How much more is the rate of change of function 2 than the rate of change of function 1?
A)1
B)2
C)3
D)4
The rate of change of function 1 is 0 and the rate of change of function 2 is 2. The rate of change of function 2 is 2 more than the rate of change of function 1.
Step-by-step explanation:The rate of change is also known as slope. The slope of a linear function or a line is
It is given that the function 1 is passing through the points (0,3) and (4,3). Slope of function 1 is
Therefore the slope of first function is 0.
The slope intercept form of a line is
Where, m is the slope and b is y-intercept.
The second function is
Therefore the slope of second function is 2 and the y-intercept is 1.
The rate of change of function 1 is 0 and the rate of change of function 2 is 2. The rate of change of function 2 is 2 more than the rate of change of function 1.
Yeah I hope its Helpful for you
Choose me Brainiliest
PLEASE HELP WILL MARK BRAINLIEST
Answer:
11
Step-by-step explanation:
A=8x+8
B=8x-4
A+B=180 degrees
therefore,
8x+8+8x-4=180
16x+4=180
16x=176
x=176/16=11
Hope it helps
Pls mark as brainliest
Which of the following statements is not true?
Creo que es la A
prueba a traducirla i luego buscalo cual es la repuesta
what is 4x + 3x in simplest form
Answer:
7x
Step-by-step explanation:
Answer:
7x
Step-by-step explanation:
4x+3x
4+3=7
add x, same answer of 7x
CAN SOMEONE PLEASE DO THE WORK FOR NUMBER 3 ILL MARK AS BRAINLIEST
Answer:
I THINK its 1.5?
Answer:3/2
Step-by-step explanation:
hope this helps, LOOK AT THE PICTURE
Simplify this fraction. -8/-4
Answer:
2/1 or 2
Step-by-step explanation:
-8/-4= 8/4= 4/2= 2/1
Hope this helps!
If correct pls mark brainliest:)
Both negatives will eliminate each other, and 8/4 is 2.
2
What is the common difference for this arithmetic sequence?
45, 40, 35, 30, 25, .
Answer:
The common difference is -5
Step-by-step explanation:
45-40=5, 40-35=5, etc.
What is the slope of the line in the graph? slope =
Is the slope 1/1 or 1
Or do I put both?
Answer:
The slope of this graph is 1. Well, 1/1 is equal to 1 so I think you should just put 1 as your answer.
Step-by-step explanation:
Plsssssssssss help me!!! I’m not good at algebra!!
What is the value of x?
The screenshot is down below.
Answer:
x=50
Step-by-step explanation:
This is a vertical angle, so the angle on top and the bottom are equal
[2(x+10)]=3x-30
2(x+10)=3x-30
2x+20=3x-30
50=x
Does the Tilt of the Earth's axis shine on different latitudes at different angles throughout the Year?
True
False
True
Step-by-step explanation:
cause the tint of the earth's axis dose shine on different latitudes at different angles throughout the year
what does x equal, find the value of x
Answer:
Step-by-step explanation:
180 -
An office space in a city measures 38.4 feet by 43 feet and costs $22.50 per square foot. What is the selling price for the office space?
Priya collected 2,400 grams of pennies in a fundraiser. Each penny has a mass of 2.5 grams. How much money did priya raise?
Answer:
$960
Step-by-step explanation:
2,400 divided by 2.5 = 960
y divided by x = 950 (x) 2,400 (y)
Beth is taking pictures outdoors during the evening. She knows that the later it is when she takes a picture, the longer her camera's shutter has to stay open to get enough light for the picture. O A. The length of time the shutter needs to stay open is a function of how late in the evening it is. O B. The length of time the shutter needs to stay open is a function of how strong her flash is. O c. How late it is in the evening is a function of the length of time the shutter needs to stay open.
Answer:
c. how late it is in the evening is a function of the length of time the shutter needs to stay open.
Answer:
I think the answer is letter B. The length of time the shutter needs to stay open is a function of how strong her flash is.
A can of soft drinks is $1.50 and a bottle of juice is $ 2.80 .what would it cost to buy two cans of soft drinks and a bottle of juice ?
Someone help plz make sure the answers right will mark brainiest:)
hey guys pls help mee!!! numbers between 2/3 and 8/9???
Answer:
kindly see attachment carefullyStep-by-step explanation:
hope it helpsAnswer:5 rational numbers are 19/27, 20/27, 21/27, 22/27, 23/27
Step-by-step explanation:
Which is the equation of the function in the graph?
Help me plz
helppppppppppppppppppppppppp
The answer is multiply both sides of the equation by 12. Therefore, y/3 × 12=4y while 1/4 × 12=3, then 5×12=60. 4y-3=60.
The answer is multiply both sides of the equation by 12. Therefore, y/3 × 12=4y while 1/4 × 12=3, then 5×12=60. 4y-3=60.Please Mark BRAINLIEST!!! Please
Answer:
multiplied both sides of the equation by 12
Step-by-step explanation:
[tex]\frac{y}{3} -\frac{1}{4} = 5\\12(\frac{y}{3}-\frac{1}{4}) = 12(5)\\4y-3=60[/tex]
Is -1/3 - 4/5 positive, negative, or zero?
HELP PLS ILL GIVE BRAINLIEST FOR THE CORRECT ANSWER
Answer:
Negative, -17/15
Step-by-step explanation:
Very urgent!!!!!
The first term of an AP is 6 and the 5th term is 18.find the number of terms in the series having a sum of 162....
With workings
And explanation
Thanks
Answer:
number of terms=9
Step-by-step explanation:
[tex]t_{1}=6\\t_{5}=18\\\\t_{n}=t_{1}+(n-1)d\\18=6+(5-1)d\\18-6=4d\\4d=12\\d=12/4=3\\s_{n}=162\\s_{n}=\frac{n}{2}[2t_{1}+(n-1)d]\\162=\frac{n}{2}[2(6)+(n-1)3]\\162 \times 2=n(12+3n-3)\\324=n(3n+9)\\3n^2+9n-324=0\\n^2+3n-108=0\\n^2+12n-9n-108=0\\n(n+12)-9(n+12)=0\\(n+12)(n-9)=0\\n=-12,9\\n=-12 (rejected)[/tex]
as number of terms can't be negative.
Answer:
PLS MARK BRAINLIEST
Step-by-step explanation:
Sn = n/2(2a+(n-1)d)
a=6
a+ 4d= 18
6 +4d= 18
4d = 12
d = 3
162= n/2(12+(n -1)3)
324=n(12 + 3n-3)
324=12n + 3n^2 - 3n
3n^2 + 9n-324=0
3n^2+ 36n-27n -324 =0
3n(n+12) -27(n+12)= 0
3n-27 =0; n+ 12=0
n=9 ; n= -12
since n can't be negative n=9
The number of terms is 9
At a local print shop, 10 copies can be made for $4. At this rate, how how many copies
could be made for $34?
Fill out the table of equivalent ratios until you have found the value of x.
Answer:
huh? i don't understand
Step-by-step explanation:
what? Ahhahahha
NEED THIS ASAP, A rental company charges $50 to rent a truck, plus $1.25 for each mile that the truck is driven.
Which equation best expresses the relationship between the cost, c, of renting the truck in terms of the number of miles, m, the truck is driven?
A. c=50.25
B. c=51.25
C. c= 1.25m+50
D. c=50m+1.25
Answer:
b
Step-by-step explanation:
its b cause theres no mile that tells us
Answer:
C
Step-by-step explanation:
1.25 for each mile so 1.25m plus the original $50
. The area of a rectangle is 8x2 + 10x + 2 cm2. The length is 4x + 2 cm. What is the width of the
rectangle?
help me please !!!!!!!!!!
Answer:
The answer is 6.
Step-by-step explanation:
If you divide 2 by 2 you get one so if you divide 12 by 2 you get 6 so the value of h is 6
Answer:
h=6 feet
Step-by-step explanation:
since the smaller figure is a ratio of 1:h and the larger one is 2:12, we can assume that the scale factor (the amount we're multiplying the sides on the smaller figure by to reach the size of the larger figure) is 2. (since 2/1 =2 and 12/2 = 6) :)