-1/4 times 16 = -4.
-1/4 times -8 = 2.
-4x + 2
rewrite the equation by completing the square 6x + 55 = x^2
Answer:
x=11
x=−5
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 6*x+55-(x^2)=0
-x2+6x+55 =0
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = -1
B = 6
C = 55
Accordingly, B2 - 4AC =
36 - (-220) =
256
Applying the quadratic formula :
-6 ± √ 256
x = ——————
-2
Can √ 256 be simplified ?
Yes! The prime factorization of 256 is
2•2•2•2•2•2•2•2
To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).
√ 256 = √ 2•2•2•2•2•2•2•2 =2•2•2•2•√ 1 =
± 16 • √ 1 =
± 16
So now we are looking at:
x = ( -6 ± 16) / -2
Two real solutions:
x =(-6+√256)/-2=3-8= -5.000
or:
x =(-6-√256)/-2=3+8= 11.000
Answer:
(x-3)^2 =64
x=3 plus or minus 8
Step-by-step explanation:
I got it right on khan
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer: x = 52.1 degrees
Step-by-step explanation:
The tangent of an angle is the opposite side divided by the adjacent side.
Therefore, tan(x) = 45/35.
We can find thte value of x by doing the arc tangent of 45/35, which makes x about 52.1 degrees.
Carmen tutors English. For each hour that she tutors, she earns 20 dollars. Let E be her earnings (in dollars) after tutoring for H hours. Write an equation relating E to H. Then use this equation to find Carmen's earnings after tutoring for 15 hours.
Equation:___
Carmen's earnings for 15 hours:___ dollars
Answer:
E = 20h, she earns $300 for 15 hours
What is the value of w?
Answer:
37°
Step-by-step explanation:
angles in a triangle add up to 180 degrees.
if two sides have the same length, an isosceles triangle is formed. the angles corresponding to the sides that have the same length are the same therefore, as FH = HG, ∠HFG = ∠FGH
180° = ∠HFG + ∠FGH + ∠FHG
= 106° + ∠HFG + ∠HFG
= 106° + 2* ∠HFG
subtract 106 from both sides to isolate the unknown and its coefficient
74° = 2*∠HFG
divide both sides by 2 to isolate the unknown
37° = ∠HFG = ∠FHG = w
A teenager puts $50 into an investment account in January. If by December the balance in the account increases by 17%, what is the amount of money in the account in December?.
Answer:
58.50
Step-by-step explanation:
Multiply 50 and .17 which equals 8.5 then add that to 50.
The amount of money in the account in December with a rate of 17% of the initial amount of $50 is $58.5.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
A teenager puts $50 into an investment account in January.
Let, he deposited on first January.
If by December the balance in the account increases by 17%,
Let the amount by the 31 first of December will be
Then the amount will be given as
[tex]A = P (1 + \dfrac{r}{100})^t[/tex]
P = $50
r = 17%
t = 1
Then we have
[tex]\rm A = 50(1 + \dfrac{17}{100})^1\\\\A = 50(1 + 0.17)\\\\A = 50 * 1.17 \\\\A = 58.5[/tex]
More about the percentage link is given below.
https://brainly.com/question/8011401
A balance scale is perfectly balanced with 2 cans of soda on one side and 1 can of soda and 8 ounces of sand on the other . How much does each can of soda weigh?
Answer:
i think it will weigh 8 ounces
Step-by-step explanation:
if one can plus it is equal to 2 itll will be balenced
Suppose line segment XY has one endpoint at X(0,0). If (3,4) is the midpoint of XY, what are the coordinates of point Y?
Write an explicit formula for an, the n
term of the sequence 38, 44, 50,....
Answer: an =
The sequence 38, 44, 50,.... is an arithmetic sequence
The explicit rule of the sequence is an = 32 + 6n
How to determine the explicit formula?The sequence 38, 44, 50,.... is an arithmetic sequence with the following parameters:
First term, a1 = 38
Common difference, d = 6
The explicit rule is calculated as:
an = a1 + (n - 1) * d
This gives
an = 38 + (n - 1) * 6
Evaluate the product
an = 38 - 6 + 6n
This gives
an = 32 + 6n
Hence, the explicit rule of the sequence is an = 32 + 6n'
Read more about arithmetic sequence at:
https://brainly.com/question/6561461
The first week, there were 10 students in a teacher’s classroom. The next week, there were 13 students in the same teacher's classroom. What is the percent increase of the number of students?
Answer:
130% increase
Step-by-step explanation:
find the surface area of the regular pyramid 9ft and 6ft i canton find out what it is
Answer:
54 ft squared
Step-by-step explanation:
To find surface area l*w
9*6=54 ft squared
Solve each of the given compound inequalities. Enter your answers using interval notation.
x−5<−4 and −7x+6≤−71
Answer:
1.[tex]\:\left(-\infty \:,\:1\right)[/tex]
2.[tex]\:[11,\:\infty \:)[/tex]
Step-by-step explanation:
Given the following questions:
[tex]x-5 < -4[/tex]
[tex]-7x+6\leq-71[/tex]
To find the answer we solve as if it is a two-step equation where we add/subtract on both sides.
Question one:
[tex]x-5 < -4[/tex]
[tex]-5+5=0[/tex]
[tex]-4+5=1[/tex]
[tex]x < 1[/tex]
[tex]\:\left(-\infty \:,\:1\right)[/tex]
Question two:
[tex]-7x+6\leq-71[/tex]
[tex]6-6=0[/tex]
[tex]-71+-6=-77[/tex]
[tex]-7x\leq-77[/tex]
[tex]-7x\div-7=x[/tex]
[tex]-77\div-7=11[/tex]
[tex]x\leq11[/tex]
[tex]\:[11,\:\infty \:)[/tex]
Which means your answers are "(-∞, 1) and [11, ∞)."
Hope this helps.
Which is the equation of the function?
f(x) = 3]x] + 1
f(x) = 3x - 11
f(x) = (x + 1
f(x) = 1 |x-11
Answer:
4
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Melissa went for a drive in her new car. She drove at a speed of 25.6 miles per hour for 2 hours. For how many miles did she drive?
Answer:
51.2 miles
Step-by-step explanation:
25.6 x 2= 51.2
Answer this, please!
Help!!!
Answer:
It is 45.8° because it is a straight line so straight line is 180°.
I really need answers for this
Answer:
1. [tex]-tan (x)[/tex]
2[tex]-san(x)[/tex]
3. [tex]cos (x)[/tex]
4. [tex]tan (\pi +3)[/tex]
Step-by-step explanation: May God bless you and your family during spring break
In ΔABC, If AB=BC and ∠B=40∘,what is the measure of ∠C?
Answer:
70
Step-by-step explanation:
all angles in a triangle add up to 180
if two sides are equal their angles are equal
180-40
140÷2
70
Two apples plus four bananas cost $2.00. An apple costs twice as much as a banana. Using the equations 2a + 4b = 2.00 and a = 26, where a is the cost of one apple and b is the cost of one banana, what are a and b?
Answer:
(B) a = $0.50, b = $0.25
Step-by-step explanation:
Answer choice B is the only one in which an apple costs twice as much as a banana.
__
It helps to see if the answer choices match the requirements of the problem statement.
find the slope of the line whose angle of inclination is 60
Answer:
Slope (m) = tanθ
=tan60
=√3
Hence the slope is √3
I think it will help you
Brayden and his cousin Kayla live twenty miles away from each other. On the same day, Brayden recorded 1.046 inches of rain at his house and Kayla recorded 1.062 inches of rain at her house. Whose house received fewer inches of rain that day?
y = 4x - 9 complete the missing value in the solution to the equation
Answer: If you substitute the x for 3, and multiply 4 times 3, you’ll get 12 and then you subtract 9 from 12 and then you’ll get 3. I’m pretty sure y=3
Step-by-step explanation:
How much do
Jennie sam if she
got 340 for
Babysitting, plus a
15% tip
First determine 15% of 340. Multiple 15 (as decimal) by 340.
0.15 x 340 = 51
Find the total amount she earns by adding these values.
51 + 340 = 391
Therefore, she will make $391.
the awenser is three
hundred and fifty five dolars
Tea Off served a total of 8,080 cups of chamomile tea to its customers last year. This year, the number of served was 35% lower. How many cups of chamomile tea did the cafe serve this year?
How do you know a table is linear?
How do you know an equation is linear?
How do you know a graph is linear?
Answer:
You can tell if a table is linear by looking at how X and Y change. If, as X increases by 1, Y increases by a constant rate, then a table is linear.
An equation is considered linear, if it is in the form of. y = mx + b. where m is the slope of the equation, and b is the y-intercept.
First of all the shape of the graph is a straight line. Every linear graph is nothing more than a straight line so if there is any curves in it, it's not linear. The other way to tell is look at its equation.
Step-by-step explanation:
A teacher surveyed her class after they had taken a vocabulary test. Eighteen of the students claimed they had studied at least one hour for the test. The remaining twelve students admitted that they had not studied for the test at all. The test results (expressed as a percent) for the two groups are shown below.
Studied :
87
,
100
,
94
,
79
,
92
,
100
,
95
,
83
,
89
,
99
,
100
,
91
,
89
,
95
,
100
,
93
,
96
,
83
Did Not Study :
82
,
72
,
45
,
91
,
58
,
83
,
65
,
87
,
90
,
77
,
73
,
89
Part 1: Calculate the mean of the group that studied, rounded to the nearest tenth.
Part 2: Calculate the mean absolute deviation of the group that studied, rounded to the nearest tenth.
Part 3: How many of the scores (from the group that studied) are within one mean absolute deviation of the mean.
Step-by-step explanation:
part1
the mean value is
(87+100+94+79+92+100+95+83+89+99+100+91+89+95+100+93+96+83) / 18
= 1665 / 18 = 92.5
part2
this is the sum of the absolute value of the differences bergen the individual sites and the mean value divided by the number of data points :
(5.5+7.5+1.5+13.5+0.5+7.5+2.5+9.5+3.5+6.5+7.5+1.5+3.5+2.5+7.5+0.5+3.5+9.5)/18
= 94/18 = 5.222222222... ≈ 5.2
part3
how many scores are less than 5.2 away (plus or minus) from the mean value ? in other words, how many differences in the part2 calculation were smaller than or equal to 5.2 ?
there are 9 scores meeting that criteria :
94, 92, 95, 89, 91, 89, 95, 93, 96
Evaluate 100−x^2 , when x is 6 *
Answer:
64
Step-by-step explanation:
100-6^2
6^2=36
100-36=64
Hope this helps :)
In January, a store sold 3 scarves for $14.10. In March, it sold 5 scarves for $22.90. In which month did a scarf cost the least?
In January, a store sold 3 scarves for $14.10.
so 1 scarf = 14,10 : 3 = $4,7
In March, it sold 5 scarves for $22.90.
so 1 scarf = 22.90 : 5 = $4.58
In which month did a scarf cost the least?
in march
what is the answer? does anyone like maths because I don't?
Answer:
8 cm
Step-by-step explanation:
Th smaller rectangle is a scaled down version of the bigger rectangle. The smaller rectangle is 1/2 the size of the large one.
So we will multiply 4 by 2 to get 8 cm
Your correct answer is 8 cm :)
Hope this helps!
Please rate and mark brainliest!!
Have a great day!!
Answer:
the ratio of rectangle 1 the same with rectangle 2 so as you see in the photo the area of rectangle 2 equal 4×2 which we find it obviously of similar ratio
Look at the photo attached number 36
Answer:
a. Check Mark
b. Check Mark
c. No Check Mark
d. No Check Mark
e. No Check Mark
Step-by-step explanation:
1 hour = 60 minutes
1/4 X 60 min = 15
9 pages every 15 minutes
9 X 4 = 36
36 pages in an hour
Find the value of x.
A.
74°
53°
Answer:
74
Step-by-step explanation:
What are the measures of