Answer:
The answer is X=11 and X=-11
Step-by-step explanation:
[tex] {x}^{2} = 121 \\ \sqrt{121} = 11 \\ therefore \: value \: of \: x \: is \: 11[/tex]
Write .7 as a fraction.
0.7 as a fraction:
[tex]\frac{7}{10}[/tex][tex]\frac{70}{100}[/tex][tex]\frac{700}{1000}[/tex]find the triangular number in the nth position if n is. a)22 (b)11 (c)31 (d)40
Answer:
Shown below.Explanation:
use the formula: n(n+1)/2
where n is the number of nth position
(a)
n(n+1)/2
22(22+1)/2
253
(b)
11(11+1)/2
66
(c)
n(n+1)/2
31(31+1)/2
496
(d)
n(n+1)/2
40(40+1)/2
820
Answer:
a) 253
b) 66
c) 496
d) 820
Step-by-step explanation:
Triangular numbers : pattern of numbers that form equilateral triangles. Each subsequent number in the sequence adds a new row of dots to the triangle.
nth triangular number formula: [tex]T_n=\dfrac{n(n+1)}{2}[/tex]
a) if n = 22
[tex]T_{22}=\dfrac{22(22+1)}{2}=253[/tex]
b) if n = 11
[tex]T_{11}=\dfrac{11(11+1)}{2}=66[/tex]
c) if n = 31
[tex]T_{31}=\dfrac{31(31+1)}{2}=496[/tex]
d) if n = 40
[tex]T_{40}=\dfrac{40(40+1)}{2}=820[/tex]
Solve simultaneously please
Answer:
x = 1; y = 5/4
Step-by-step explanation:
7/x - 5/y = 3
2/x + 25/(2y) = 12
The LCD of first equation is xy. Multiply both sides of the first equation by xy.
xy(7/x) - xy(5/y) = 3xy
7y - 5x = 3xy
The LCD of second equation is 2xy. Multiply both sides of the second equation by 2xy.
2xy(2/x) + 2xy(25/2y) = 24xy
4y + 25x = 24xy
7y - 5x = 3xy
4y + 25x = 24xy
Multiply the top equation by -8 and add to bottom equation.
-56y + 40x = -24xy
(+) 4y + 25x = 24xy
---------------------------------
-52y + 65x = 0
65x = 52y
x = 52y/65
7y - 5x = 3xy
7y - 5(52y/65) = 3(52y/65)y
455y - 260y = 156y²
156y² - 195y = 0
4y² - 5y = 0
y(4y - 5) = 0
y = 0 or 4y = 5
y = 0 or y = 5/4
7/x - 5/y = 3
y cannot equal zero.
7/x - 5/y = 3
7/x - 5/(5/4) = 3
7/x - 4 = 3
7/x = 7
x = 1
Solution: x = 1; y = 5/4
Write
5
3
8
as an improper fraction.
Answer:
15/8
Step-by-step explanation:
I believe you mean 5 and 3/8, if that so well here's your answer:
Domenator (bottem number) stays same, numerator (top number) is timesed by the whole number (non-fraction number/left number)
So that'll be 5 * 3 = 15 making 15/8
Find the cost price of a pen if a pen is sold at 10% profit for Rs 1100.
Answer:
Rs 1210
Step-by-step explanation:
cost price = (100/100+10/100)×selling price
€1 = £0.88. Change €470 into £.
[tex]\orange{\bigstar\underline{\underline {\pmb{\frak{ \purple{Required~Answer}}}}}}[/tex]
Given:.
€1 = £0.88Steps :
470 × 0.88
£413.6
the definite integral is how obtain and the symbol of integral
Answer:
Symbol for definite integralThe ∫ symbol is called an integral sign; it's an elongated letter S, standing for sum. (The ∫ is actually the Σ from the Riemann sum, written in Roman letters instead of Greek letters.) The dx on the end must be included; you can think of∫ and dx as left and right parentheses.
During a clothing store’s Bargain Days, the regular price for T-shirts is discounted by $4. There is a state sales tax of 3.5%, and the $4 discount is applied before the sales tax is calculated.
A. Write an expression that shows the regular price r of a T-shirt minus the $4 discount.
B. Write a rule for the function p(r) that expresses the final price p of a T-shirt with the discount applied and sales tax added.
C. How much would you pay during Bargain Days for a shirt regularly priced at $15.50?
I will mark the first correct answer Brainliest!
Answer:
$4.00+0.035+$4.00=8.035=$8.35
Step-by-step explanation:
PLEASE HELPPP. I’ve been stuck on this for so long
Answer:
D. 2.5
I hope it's help.......
45. You deposit $6000 into an account that earns 3.8% interest compounded annually.
Find the balance of the account after 7 years.
Answer: 7596
Step-by-step explanation:
3.8%x7=26.6%
6000x26.6%=1596
6000+1596=7596
60 POINTS PLEASEEEEEEEEEEE
Answer:
It is B. (0,1)
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
a
if p and q vary inversely and p is 4 when q is 15, determine q when p is equal to 30
The value of q when q varies inversely with p is 2.
What is the value of q?The formula that can be used to represent inverse variation is:
p = k/q
Where:
p = dependent variable q = independent variable k = constant of proportionalityThe first step is to determine the value of the constant of proportionality
k = p x q
k = 15 x 4 = 60
Given the value of the constant of proportionality, the value of q can now be determined.
30 = 60/q
q = 60 / 30
q = 2
To learn more about inverse proportion, please check: https://brainly.com/question/25748643
answer please the question is in the picture
Answer:
The two marked in the image.
Step-by-step explanation:
In scientific notation you will want only the most significant non-zero digit before the comma.
The first underlined number has two digits before it, the correct representation should be [tex]1.25\times10^4[/tex]
The second underlined number has a 0 leading digit, while the most significant non-zero digit is a 4. The correct represantation should be [tex]4.5\times 10^2[/tex]
An extra case could be made for the second number of the list, since it has no decimal part, but the way I read it means "the instrument used to measure the data has 0 decimal places accuracy"
what are the values of x and y in the figure shown? show your work
Answer:
x = 5 , y = 2
Step-by-step explanation:
3y + 4y + 2x = 24
(3y)² + (4y)² = (2x)²
2x + 7y = 24 .............. (1)
25y² = 4x² ................ (2)
x = [tex]\frac{5}{2}[/tex] y ------> (1)
2 ( [tex]\frac{5}{2}[/tex] y ) + 7y = 24
12y = 24
y = 2 ----------> (1)
x = 5
Solve equation by using the quadratic formula.
9 x squared + 7 x = 0
a.
x = StartFraction 7 Over 9 EndFraction, 0
c.
x = 0
b.
x = negative StartFraction 7 Over 9 EndFraction, 0
d.
x = plus-or-minus StartFraction 7 Over 9 EndFraction
Answer: 1: x=3, x=1
2: x= -5
3: There are 2 real solutions.
4: There are 2 real solutions.
5: There are no real solutions.
6. There is 1 real solution.
7.
8. x= -6, x = -2
9. x = -1/6, x=1
10.
Explanation:
1. The quadratic formula is
Substituting our known information we have:
2. Rewriting the quadratic in standard form we have x²+10x-25=0. Substituting this into the quadratic formula gives us:
3. The discriminant is b²-4ac. For this problem, that is 20²-4(-4)(25)=400--400=800. Since this is greater than 0, there are 2 real solutions.
4. The discriminant in this problem is 7²-4(2)(-15)=49--120=49+120=169. This is greater than 0, so there are 2 real solutions.
5. The discriminant in this problem is 1²-4(-2)(-28)=1-224=-223. Since this is less than 0, there are no real solutions.
6. If the discriminant of a quadratic is 0, then by definition there is 1 real solution.
7. Rewriting the quadratic we have 3x²-4x-2=0. Using the quadratic formula we have:
8. Factoring this trinomial we want factors of 12 that sum to 8. 6*2 = 12 and 6+2=8, so those are our factors. This gives us:
(x+6)(x+2)=0
Using the zero product property we know that either x+6=0 or x+2=0. Solving these equations we get x= -6 or x= -2.
9. Factoring this trinomial we want factors of 6(-1)=-6 that sum to -5. (-6)(1)=-6 and -6+1=-5, so this is how we "split up" the x term:
6x²-6x+1x-1=0
We group together the first two and the last two terms:
(6x²-6x)+(1x-1)=0
Factor the GCF out of each group. In the first group, that is 6x:
6x(x-1)+(1x-1)=0
In the second group, the GCF is 1:
6x(x-1)+1(x-1)=0
Both terms have a factor of (x-1), so we can factor it out:
(x-1)(6x+1)=0
Using the zero product property, we know either x-1=0 or 6x+1=0. Solving these equations we get x=1 or x=-1/6.
10. Substituting our information into the quadratic formula we get:
Step-by-step explanation:
The given equation has been solved in the table,
Step
Statement
1
2
993-139
3 1
3
4
(-1)
5
6
in which step was the addition property of equality applied?
Answer:
Step 3.
Step-by-step explanation:
If you look at the equation you can see that that -9 is gone from the left from being added by 9 and -4 is the result of 9 being added to -13. Step 2 would not be the correct answer because they haven't added the numbers yet. Hope this helps!
Answer: step 3
Step-by-step explanation:
Identify the initial amount a and the growth factor b in the exponential function.
g(x)=14 x 2^x
a=14, b=x
a=14, b=2
a=28, b=1
a=28, b=x
Answer:
a = 14, b = 2
Step-by-step explanation:
the initial amount was 14
the growth factor is 2
Group like term’s please hurry.
Answer:
Step-by-step [tex]5x-4x =x \\4x^{2} -x^{2}=3x^{2} \\-24+11=-13\\3x^{2} +x-13[/tex]
Answer:
x^5 + 151x -264
Step-by-step explanation:
See the attached page.
2 2/3 x 3 3/8=?
Please help me
Answer:
Step-by-step explanation:
2 2/3 = 8/3
3 3/8 = 27/8
8/3 * 27/8 = 216/24
= 9
Factor out a -5 of 2x-5
Answer:
2
a
x
−
5
a
−
10
x
+
25
Step-by-step explanation:
solve the equation
13d+8=-1
Answer:
I hope this works
Step-by-step explanation:
look at the picture
Select the sequences that are geometric. 18, 36, 54, 72, … 4. 1, 8. 2, 16. 4, 32. 8, … –7, 14, –28, 56, … 980, 784, 627. 2, 501. 76, … 5, 2, –1, –4, ….
Answer:
18, 36, 54, 72
Step-by-step explanation:
As that sequence is common in the table of 18.
A.T.Q
18 x 1 = 18
18 x 2 = 36
18 x 3 = 54
18 x 4 = 72
Correct me, if I am wrong :)
Have a great day!
Thanks!
Write an equation for a quadratic function that has x intercepts (-3, 0) and (5, 0)
Answer:
One possible equation is [tex]f(x) = (x + 3)\, (x - 5)[/tex], which is equivalent to [tex]f(x) = x^{2} - 2\, x - 15[/tex].
Step-by-step explanation:
The factor theorem states that if [tex]x = x_{0}[/tex] (where [tex]x_{0}[/tex] is a constant) is a root of a function, [tex](x - x_{0})[/tex] would be a factor of that function.
The question states that [tex](-3,\, 0)[/tex] and [tex](5,\, 0)[/tex] are [tex]x[/tex]-intercepts of this function. In other words, [tex]x = -3[/tex] and [tex]x = 5[/tex] would both set the value of this quadratic function to [tex]0[/tex]. Thus, [tex]x = -3\![/tex] and [tex]x = 5\![/tex] would be two roots of this function.
By the factor theorem, [tex](x - (-3))[/tex] and [tex](x - 5)[/tex] would be two factors of this function.
Because the function in this question is quadratic, [tex](x - (-3))[/tex] and [tex](x - 5)[/tex] would be the only two factors of this function. In other words, for some constant [tex]a[/tex] ([tex]a \ne 0[/tex]):
[tex]f(x) = a\, (x - (-3))\, (x - 5)[/tex].
Simplify to obtain:
[tex]f(x) = a\, (x + 3)\, (x - 5)[/tex].
Expand this expression to obtain:
[tex]f(x) = a\, (x^{2} - 2\, x - 15)[/tex].
(Quadratic functions are polynomials of degree two. If this function has any factor other than [tex](x - (-3))[/tex] and [tex](x - 5)[/tex], expanding the expression would give a polynomial of degree at least three- not quadratic.)
Every non-zero value of [tex]a[/tex] corresponds to a distinct quadratic function with [tex]x[/tex]-intercepts [tex](-3,\, 0)[/tex] and [tex](5,\, 0)[/tex]. For example, with [tex]a = 1[/tex]:
[tex]f(x) = (x + 3)\, (x - 5)[/tex], or equivalently,
[tex]f(x) = x^{2} - 2\, x - 15[/tex].
PLSSSSS HELP MEEEEE
Ramiro asked 60 random people from his school how they use the library.
Use the information from Ramiro’s representative sample to make predictions about the school-wide results.
The school has 540 students.
Using proportions, it is found that:
The most popular choice likely be either checking out books or studying.Based on the sample, about 90 students will vote for doing research.Based on the sample, about 35% of students will for checking out books.What is a proportion?A proportion is a fraction of a total amount.
In the sample, the most voted options were checking out books or studying, hence:
The most popular choice likely be either checking out books or studying.
Out of the 60 students, 10 = 1/6 are doing research, hence out of 540:
[tex]\frac{1}{6} \times 540 = 90[/tex]
Based on the sample, about 90 students will vote for doing research.
21 out of 60 students voted for checking out books, hence:
21/60 = 0.35 = 35%.
Based on the sample, about 35% of students will for checking out books.
More can be learned about proportions at https://brainly.com/question/24372153
Answer: Look at the attachment
Checking out books or studying
90
35%
Step-by-step explanation:
Please Help quick This is Algebra Thank you!
If anyone can answer all these thanks
1. 4x+3=23
2. 24x - 18=30
3.160+10n=220
4.51=30+3n
5.6y+85=157
1) x = 5
2) x = 2
3) n = 6
4) n = 7
5) y = 12
Step-by-step explanation:-1)[tex]4x+3=23[/tex]
→[tex]4x = 23 - 3[/tex]
→[tex]4x = 20[/tex]
→[tex]x = \frac{20}{4} [/tex]
→[tex]x = 5[/tex]
Hence, value of x is 5
2)[tex]24x - 18=30[/tex]
=>[tex]24x = 30 + 18[/tex]
=>[tex]24x = 48[/tex]
=>[tex]x = \frac{48}{24} [/tex]
=>[tex]x = 2[/tex]
Hence, value of x is 2
3)[tex]160+10n=220[/tex]
[tex]→10n = 220 - 160[/tex]
[tex]→10n =60[/tex]
[tex]→n = \frac{60}{10} [/tex]
[tex]→n = 6[/tex]
Hence, value of n is 6
4)[tex]51=30+3n[/tex]
[tex]→51 - 30 = 3n[/tex]
[tex]→21 = 3n[/tex]
[tex]→\frac{21}{3} = n[/tex]
[tex]→n = 7[/tex]
Hence, the value of n is 7
5)[tex]6y + 85=157[/tex]
[tex]→6y = 157 - 85[/tex]
[tex]→6y = 72[/tex]
[tex]→y = \frac{72}{6} [/tex]
[tex]→y = 12[/tex]
Hence, value of y is 12
REE PLS HELP mEEEEEEEEEEEEEEEEEEEEEEEEEEEeE
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!!
Answer:
d
Step-by-step explanation:
-4 < 2x +4
-8 < 2x
-8/2
-4 < x
other side
2x + 4 < 8
8-4
2x < 4
4/2
x < 2
Answer:
The answer (as i checked i recommended doing is D)
Use the point-slope formula to write an equation of the line that passes through (-4, 4) and has a slope of m=0. Write the answer in slope-intercept form (if
possible)
Answer:
y = 4
Step-by-step explanation:
When given a point and a slope, we use slope-intercept formula:
y - y1 = m (x - x1)
m = slope point: (-4,4)
y - y1 = m (x - x1)
y - 4 = 0 (x - 1)
y - 4 = 0x + 0
+ 4 + 4
y = 4
The answer can't be written in slope-intercept form, as the 0"s cancel out.
Hope this helps!
Find the missing number?
Answer:
it's 9
Step-by-step explanation:
you add up the numbers
Answer:
the answer is 9, if adding