Select the correct answer.
Solve the equation using the method of completing the square.
2x^2 + 163 - 8 = 0
Answers
Answer:
D
Step-by-step explanation:
[tex]2x^2+16x-8=0[/tex]
Simplify:
[tex]x^2+8x=4[/tex]
Rewrite in the form [tex](x+a)^2=b[/tex]:
[tex]x^2+8x=4[/tex]
Add [tex]4^2[/tex] to both sides:
[tex]x^2+8x+4^2=4+4^2[/tex]
[tex]x^2+8x+4^2=20[/tex]
[tex]\left(x+4\right)^2=20[/tex]
[tex]x+4=\sqrt{20}[/tex] or [tex]x+4=-\sqrt{20}[/tex]
x = -4±[tex]\sqrt{20}[/tex]
x= -4±[tex]2\sqrt{5}[/tex]
Related Questions
pleaseeeeeeeeeee help me
Answers
What is the answer?
Answers
36 into the ratio 5:4
Answers
Answer:
5/4 divided by 36?
= 5/144
Answer:
let ratios be (x)
5x+4x=36
9x=36
9x=36
x=4
Step-by-step explanation:
Machine machine with 140 gallon capacity needs to be filled with water/glycol mixture. Someone has already pump 50 gallons of 60% glycol blend into the machine. How much more glycol must you add an order to get a 50% concentration?
Answers
Answer:
40 gal
Step-by-step explanation:
The capacity of the machine is 140 gallons, and it must be filled.
In a 50% glycol solution, the amount of glycol in 140 gallons of solution is
50% * 140 gallons = 70 gallons.
Once the machine is full with 140 gallons of 50% glycol solution, it will have 70 gallons of glycol.
The machine now has 50 gallons of 60% glycol solution.
60% * 50 gallons = 30 gallons
The machine has now 30 gallons of glycol.
70 gal - 30 gal = 40 gal
You must add another 40 gallons of glycol.
There is a hot market at school for used graduation gowns, in fact the price is growing exponentially! Last week I could have gotten one for $25, but today, one week later, the price is $37.50. What would the price be if I decide to wait to buy my graduation gown at graduation, six weeks from now?
Answers
Answer:
$100
Step-by-step explanation:
the equation to solve this is:
[tex]y=12.5x+25[/tex]
[tex]y=12.5x+25\\ =(12.5*6)+25\\ =75+25\\ =100[/tex]
(Assuming, of course, that this is a homework assignment and not you actually buying it cuz' in real life the numbers would be different from month to month)
Where Do Aliens Leave Their Spaceships? **I have the answer key image!!**
Answers
NEED ASNSWER ASAP. The ratio of sugar to flour in a brownie recipe is 8:5. Kimo used 15 ounces of flour. How many ounces of sugar did Kimo use?
Answers
Answer:
5
Step-by-step explanation:
[tex]8:5=15:x\\8*x=15\\(8*x)/8=15/8\\x=1.875\\\\\frac{8}{5} *1.875=\frac{15}{x} \\\frac{8}{5} *1.875=3\\3=\frac{15}{x}\\x=5[/tex]
what's the answer ?
[tex] \sqrt{72 \times 2} [/tex]
Answers
Answer:
[tex] \sqrt{72 \times 2} [/tex]=[tex] \sqrt{12²} [/tex]=±12 is your answer
2(3v + 4) + 5(2v − 3) =
Answers
Answer:16v-7
Step-by-step explanation: Simpley the expression
You estimate that there are 60 marbles in a jar.The actual amount is 54 marbles. Find the percent error.Round to the nearest tenth of a percent if necessary
Answers
Answer:
the percent error is 10%
Step-by-step explanation:
Given that
The estimate value of the marbles is 60
And, the actual amount is 54 marbles
We need to find out the percent error
As we know that
Percent error = (Estimated - actual) ÷ (Estimated) × 100
= (60 - 54) ÷ 60 × 100
= 10%
Hence, the percent error is 10%
We simply applied the above formula
PLS HELP ASAP WILL GIVE BRAINLEAST!!!!!!!!
Answers
Answer:
It's B
Step-by-step explanation:
The product of sin 30° and sin 60° is same as?
Answers
Answer:
The product of sin 30 and sin 60 is same as the product of cos 60 degrees tan 30 degrees and cos 30 degrees tan 60 degrees.
A bag contains 22 coins consisting of quarters and nickels. The total value of the coins is $3.90. How many nickels are in the bag? *
Answers
Answer:
8 Nickels
Step-by-step explanation:
Since a Nickel is worth 5 cents ($0.05)
And a Quarter is worth 25 ($0.25)
and theres 22 coins
8 of those coins would be nickels which would mean we add 8 nickels up
8 x 0.05 = 0.4
then we add the quarters up
14 x 0.25 = 3.5
3.5 + 0.4 = $3.90
What is the volume of the soccer ball? Enter your answer in terms of TT and round to the nearest cubic centimeter.
11 cm
7 cm
Answers
Answer:
5575.28 cm
Step-by-step explanation:
The formula for volume of a sphere is 4/3 time (pie) time r and if your is 11 this should be right.
Can one of y’all help me with this pls
Answers
Answer:
d. 42
Step-by-step explanation:
PEDMAS
We do brackets first, so:
4 + 4 = 8
Then multiplication,
5 x 8 = 40
Then addition
40 + 2 = 42
4+4=8
5(8)+2
5x8=40
40+2= 42
HELP I WILL GIVE BRAINIEST
Answers
Answer:
3. 37
4. 59
5. 79
Step-by-step explanation:
All the angles of the triangle add up to 180°
3. 180-(31+112) = 37°
4. (4x-18)+(8x+7)+(5x+4) = 180
17x-7 = 180
17x = 187
x =11
we have found the x now we need to input it to find m∠z
5x+4
=5×11+4
=59°
5. A straight angle is 180° so if the outside angle is 129 the inside one will be 51°
(2x-3)+(x+9)+51 = 180
3x+57 = 180
3x = 123
x = 41
Now we need to find m∠L
2x-3
= 2×41-3
= 79°
27 divided by 8 is what
Answers
Answer:
3.37
Step-by-step explanation:
Fraction: 3 3/8
what is the length of the diameter of the circle defined by the equation
(x - 5)^2 + (y + 4)^2 = 144
Answers
Answer: the answer is
(
x
−
5
)
2
+
(
y
+
4
)
2
=
144
.
Center:
(
5
,
−
4
)
Radius:
12
Step-by-step explanation: you have to do a graph to get your answer
The area of a rectangle is found by using the formula A=l×w
, where A
is the area, l
is the length, and w
is the width. A rectangular desk top has an area of 18
square feet. The length of the desk is 6
feet. What is the width of the desk? Write and solve an equation.
Answers
Answer:
The width of the desk is 3
Step-by-step explanation:
plug in what you already have and solve.
A= l x w
18=6x w
when you solve for w you get 3
Tammy opened a credit card with a 19% simple interest rate to purchase a $879 laptop. If she pays off the laptop in 18 months, how much will she have paid in total?
Answers
Answer:
$1146.216
Step-by-step explanation:
Given data
Principal= $879
Rate= 19%
Time = 18months= 1.6 years
The expression for the simple interest is
A=P(1+rt)
substitute
A=879(1+0.19*1.6)
A= 897(1+0.304)
A= 879*(1.304)
A= $1146.216
Hence the amount to be paid is $1146.216
Arrow 1 is rotated by 45° , 90° , 180° respectively as shown below , Based on this we can say – “Any object when rotated by _____, will look exactly the same
Answers
Any object when rotated by 360°, will look exactly the same
HELP ASAP
What is the 10th term in the geometric sequence below?
−4, 12, −36, 108, ...
a)-236196
b)-78732
c)236196
d) 78732
Answers
Answer:
78732
Step-by-step explanation:
whoever answers first gets brainliest and 5-star thanks
Answers
Answer:
8/21
Step-by-step explanation:
Area of a rectangle is L*W so for only the shaded bits of the rectangle the length (1/7*4) would be 4/7 and the width would be (1/3*2) so 2/3. then you would multiply them togehter by finding multiplying the bottoms togther and the tops together (4*2)/(7*3) this gives 8/21. Hope this helps!!
can someone help me with this? it’s linear regression and i forgot how to do it
Answers
I'll do problem 1 to get you started. The completed filled out table is shown below in the attached image.
We have x as the input and y as the output. The observed value is the second column, and this is the actual y value we're aiming for. The predicted value is an estimation based on what the linear regression line says. The residual is the error or gap between the observed and predicted.
With that in mind, let's fill out the table. In the first row, we have x = 5 pair up with y = 3. The predicted y value is y = 0.5x = 0.5*5 = 2.5, meaning we'll write "2.5" without quotes in the first blank space of that first row. The residual is
e = error or residual
e = (observed y value) - (predicted y value)
e = (3) - (2.5)
e = 0.5
A positive residual means that the observed y value is larger than the predicted one. The predicted y value is an under-estimate. We'll write "0.5" without quotes underneath "residual" in the first row.
-------------------
We'll repeat the same steps for row 2
This time we have x = 10 lead to a predicted y value of y = 0.5*x = 0.5*10 = 5
The residual is
e = (observed) - (predicted) = (4) - (5) = -1
The negative residual tells us the observed value is smaller than the predicted one. The predicted value is an over-estimate.
--------------------
For row 3, we have the input x = 15 lead to a predicted y value of y = 7.5 since y = 0.5*x = 0.5*15 = 7.5
The residual is therefore: e = (observed y) - (predicted y) = (9) - (7.5) = 1.5
The nice thing about how this table is set up, is that the observed y values are listed first, then the predicted y values next. This may help you remember how the order of subtraction will go.
The steps for rows 4 through 6 are the same as mentioned earlier, so there's nothing new here.
The completed table for problem 1 is shown below in the attached image.
is this quadrilateral a parallelogram?If yes, state the definition or theorem that justifies your answer.
Answers
Answer:
Yes.
Step-by-step explanation:
Yes. Because opposite angles are congruent.
Answer:
yes
Step-by-step explanation:
because opposite angles are congruent
In the figure below,
¯¯¯¯¯¯¯¯¯
A
D
is perpendicular to
¯¯¯¯¯¯¯¯¯¯
B
D
,
¯¯¯¯¯¯¯¯
A
C
is perpendicular to
¯¯¯¯¯¯¯¯
B
C
and
¯¯¯¯¯¯¯¯¯
A
D
≅
¯¯¯¯¯¯¯¯
B
C
. Which of the following congruences is NOT necessarily true?
¯¯¯¯¯¯¯¯
A
C
≅
¯¯¯¯¯¯¯¯¯
B
D
¯¯¯¯¯¯¯¯
A
C
≅
¯¯¯¯¯¯¯¯¯
B
D
¯¯¯¯¯¯¯¯¯
A
D
≅
¯¯¯¯¯¯¯¯
A
E
line segment cap A cap d is congruent to line segment cap A cap e
¯¯¯¯¯¯¯¯
A
E
≅
¯¯¯¯¯¯¯¯
B
E
¯¯¯¯¯¯¯¯
A
E
≅
¯¯¯¯¯¯¯¯
B
E
∠
D
A
B
≅
∠
C
B
A
∠
D
A
B
≅
∠
C
B
A
∠
E
A
B
≅
∠
E
B
A
∠
E
A
B
≅
∠
E
B
A
Answers
Answer:
b
Step-by-step explanation:
y = -5 + 6 -----------
Answers
Answer:
y = -5 + 6=1 is your answer
Jada earns $7 per hour mowing her neighbors’ lawns. Identify the independent variable in this situation, and write the letter that you would like to use to represent it.
And Identify the dependent variable and write the letter that you would like to use to represent it.
Answers
You could use any letter to represent it but I would use l for lawn
The dependent variable would be the amount I earn, $7,
Again you could use any letter to represent it but I would use d for dollar
Took a pic for better quality
Answers
A storeowner plans to have his annual "Going Out of Business Sale." If each month has an equal chance of being selected, find the probability that the sale will be in a month that begins with the letter J or A.
Answers
Answer:
Step-by-step explanation:
How many months begin with J or A ? 5
How many months total? 12
The probability that the sale will be in a month begins with the letter J or A. is 5/12
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
A store owner plans to have his annual "Going Out of Business Sale." If each month has an equal chance of being selected,
The total number of months begins with J or A = 5
The total months =12
The probability that the sale will be in a month begins with the letter J or A.
= 5/12
Learn more about probability here;
https://brainly.com/question/11234923
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