Answer:
8, 9, 10
Step-by-step explanation:
three positive consecutive integers
x, x + 1, x + 2
the product of the smallest and the largest is 26 more than six times the middle integer
x(x + 2) = 6(x + 1) + 26
Expand
x^2 + 2x = 6x + 6 + 26
Combine like terms
x^2 + 2x = 6x + 32
Subtract 6x + 32 from both sides
x^2 - 4x - 32 = 0
Factor
(Alternately use the quadratic formula or complete the sqaure)
(x - 8)(x + 4)
x = {-4, 8}
-4 is extraneous because the integers must be positive
x = 8
x + 1 = 9
x + 2 = 10
8, 9, 10
Answer:
[tex]8,9,10[/tex]
Step-by-step explanation:
We can make this an equation and use the variable n to represent our numbers
[tex]n-1(smallest)[/tex]
[tex]n(middle)[/tex]
[tex]n+1(largest)[/tex]
[tex](n-1)\cdot (n+1)=6n+26[/tex]
[tex]n^2-1 = 6n+26[/tex]
[tex]n^2 - 6n - 27 = 0[/tex]
After we factorize we get
[tex]n=9[/tex]
since our smallest is [tex]n-1[/tex] so our smallest number is [tex]8[/tex] and largest is [tex]10[/tex]
brainliest please :)
Find the value of x and thank for answer
helppppppp
plwaseeee
Mr. Walker asked his students to use the associative property to find an expression that is equivalent to (13 + 15 + 20) + (20 + 47 + 18). The expressions that four students created are shown in the table below.
Expressions Generated by Students
Student
Expression
Jeremy
(20 + 13 + 15) + (20 + 47 + 18)
Layla
(20 + 47 + 18) + (13 + 15 + 20)
Keith
(13 + 20) + (20 + 47 + 18) + 15
Melinda
(13 + 15 + 20 + 20) + (47 + 18)
How many of the students correctly applied only the associative property to rewrite the expression?
one
two
three
four
Mark this and return
Answer:
Jeremy
Step-by-step explanation:
You need to add 20+13+15=48 Then you add 20+47+18=85.
2. Factor the expression. (1 point)
x² – 3x+2
(x+2)(x-1)
(x+2)(x+1)
(x-2)(x - 1)
(x-1) (x-3)
Factor x2−3x+2 using the AC method.
(x−2)(x−1)
BRAINLIEST?
Two boxes are shown are cuboids
(Big box) : 50cm, 30cm, 20cm
little box: 10cm, 3cm, 4cm
how many of the smaller boxed would u need to fill in the bigger box? HELP
Answer:
25 little box will fit in the large box
Step-by-step explanation:
50×30×20=3000
10×3×4=120
so 3000/120=25
Answer: 25
Step-by-step explanation:
big cuboid=abc=50×30×20=3000cm3
little cuboid=10×3×4=120cm3
3000÷120=25
confused with this question
Answer:
max profit is 8000
and units sold to obtain max profit is 3000
Step-by-step explanation:
This equation is in general form for a parabola equation
so the vertex represent the maximum profit and units to be sold
General form looks like this
7=a(x-p)²+q
where p and q is the vertex, ie the max point
in this equation
p=3000
q=8000
so max profit is 8000
and units sold to obtain max profit is 3000
the maximum speed of a car is 252 km/h change this speed into meters per second
Answer:
70.0000000001 meters per second
Step-by-step explanation:
The formula is to multiply by the factor 0.27777777777817.
252 km/h * 0.27777777777817 = 70.0000000001
The tape diagram represents an equation.
р
p
36
Find the value of p that makes the equation true.
Answer:
It's 6
p=6
Step-by-step explanation:
What is the equation of the line that passes through the point (-2,-2) and has a slope of 4?
Answer:
y=4x+6
Step-by-step explanation:
Will give brainliest if right
Answer:
the answer is d to the problem
If the ratio of grapes to walnuts to oranges is 6:6:12, how many grapes are there if the total number of fruits is 192?
Answer:
48 grapes,
Step-by-step explanation:
Firstly, let's sum up the ratio,
6+6+12=24
The fraction of grapes is therefore, 6÷24 or ¼
A ¼ of 192 is 48.
Signifying, there are 48 grapes.
A cheerilee teen willing to help,
stay positive, safe and Brainly!
If the ratio of grapes to walnuts to oranges is 6:6:12, how many grapes are there if the total number of fruits is 192?
Answer:-48 grapes
Explanation:-look at the attached picture :)
Can someone please help me with this?
4a - 5b = 7
substract 4a from both sides
4a - 5b - 4a = 7 - 4a
positive 4a with negative 4a
5b = 7 - 4a
devide both sides by 5
[tex] \frac{5b}{5} = \frac{7 - 4a}{5} [/tex]
[tex]b = \frac{7 - 4a}{5} [/tex]
Look at screenshot whoever is correct i will mark brainliest
Answer:
y+3=1/5(x+4)
Step-by-step explanation:
Hi, I would recommend that you memorize the point slope formula, as it comes up often in later grades.
Point slope formula is y - y1 = m * (x - x1)
and so since we're given the slope (m), we simply plug it in.
y - y1 = 1/5 * (x - x1)
then we would plug in our x and y
(-4,-3)--> -4 is the x and -3 is the y
y+3=1/5(x+4) double negatives= a positive.
Let me know if you have any questions in the comment ;)
Find the first 5 terms of the sequence a1= -4, an = 3an-1 -2 for n > 1.
==========================================================
Explanation:
The notation [tex]a_1 = -4[/tex] tells us that the first term is -4.
To generate the next term, we'll use the recursive rule [tex]a_n = 3*a_{n-1}-2[/tex] which is probably better written as [tex]a_n = 3*(a_{n-1})-2[/tex]. That rule says: "Whatever the previous term is, multiply by 3 and subtract off 2 to get the next term".
This means,
2nd term = 3*(1st term) - 2 = 3*(-4)-2 = -143rd term = 3*(2nd term) - 2 = 3*(-14)-2 = -444th term = 3*(3rd term) - 2 = 3*(-44)-2 = -1345th term = 3*(4th term) - 2 = 3*(-134)-2 = -404Therefore, the first five terms are: -4, -14, -44, -134, -404
Hurry question is on picture
Answer:
The last one
Step-by-step explanation:
The rule y times x will give the amount of money earned. After washing x cars. You'll end up with equivalent coordinates
Answer:
y=8x
Step-by-step explanation:
y=8(1)=8 (1,8)
y=8(2)=16 (2,16)
y=8(3)=24 (3,24)
y=8(4)=32 (4,32)
y=8(5)=40 (5,40)
y=8(6)=48 (6,48)
y=8(7)=56 (7,56)
123, 472 to two decimal places
Answer:
123.00 and 472.00
Step-by-step explanation:
can't really do much except add 0's since those numbers are whole numbers
expand the expression, image attached giving brainliest please help
(2m + n) (2n -m)
2m×2n-2m×m+n×2n-mn
4mn-2m^2 +2n^2-mn
4mn-mn-2m^2+2n^2
3mn-2m^2+2n^2
Given that the area of a rectangle can be represented by 5x2-8x-4, write expressions to represent
the length and width of the rectangle. Show all work for credit.
Answer:
length: 5x + 2
width: x - 2
Step-by-step explanation:
Factors of 5
1, 5
Factors of 4
1, 4
2, 2
Sign
one positive, one negative
Factor 5x^2 - 8x - 4
(5x + 2)(x - 2) = 5x^2 - 10x + 2x - 4
(5x + 2)(x - 2) = 5x^2 - 8x - 4
Therefor
length: 5x + 2
width: x - 2
You bought a shirt for $13.50 that was originally $45.00. In terms of percent, what discount did you get on the shirt?
Answer:
30%
Step-by-step explanation:
The value of a new car in 2015 was 40,000 dollar. It depreciates each year by 7%. How much will the car be worth in 2026?
Answer:
9200 dollars
Step-by-step explanation:
just minus it 77%
Mrs. Thompson deposited $150 000 for three (3) years in a savings account at the bank at a compounded interest rate of 20% per annum. ∙ At the end of the first year, she withdrew $40 000 to pay her daughter’s university fees. ∙ At the end of year two, she deposited an additional $25 000 to the account. Calculate the amount she has in her account at the end of the three years.
Answer: 150,000 x3=450000 and 40,000-25,000=65000
65,000+450,000=515000 thats your answer
Step-by-step explanation:
What is the difference of the polynomials? (9x2 +8x) -(2x2+3x) 7x2+5x 7x2+11x 11x2+5x 11x2+11x
hope this help
pls mark as brainliest
whoever answers i’ll mark brainliest
Answer:
D is (-5,0)
E is (-1,2)
F is (-3,-2)
Step-by-step explanation:
:P
. A National Institute of Health survey of 40467 U.S adults found that 3156 of them experienced at least one major depressive episode in the previous year. Make a 95% confidence interval for the proportion of all U.S. adults who experienced depression in that year. (Source: https://www.nimh.nih.gov/health/statistics/major-depression)
Using the confidence interval for sample proportion formula, the C.I is (0.075; 0.081)
Using the relation :
[tex]p ± z_{crit} \sqrt{ \frac{p(1 - p)}{n} } [/tex]
Sample size, n = 40467Sample proportion, p = 3156/40467 = 0.078Zcrit at 95% = 1.96Margin of Error = [tex] 1.96 \sqrt{ \frac{0.078(0.922)}{40467} } [/tex] Margin of Error = 0.0026128Lower boundary = 0.078 - 0.0026128 = 0.075
Upper boundary = 0.078 + 0.0026128 = 0.081
Hence, the confidence interval is (0.075; 0.081)
Learn more :
16+4(q+11)+10q simplify
Answer:
Dogodgo
Step-by-step explanation:
what is 122°F in °C?
a.1 °C
b.10 °C
c.100 °C
d.110 °C
Answer:
50° CStep-by-step explanation:
By the Formula :-= > (122°F − 32) × 5/9
= > 50°C...ans
Hope it Helps you!!The value of 122°F in °C is 50°C
Temperature
Temperature is the degree of hotness or coldness in a place. There are different temperature scales such as Celsius, Fahrenheit etc.
To convert from Fahrenheit to Celsius, use:
C = (F - 32) * 5/9
Given that F = 122, hence:
C = (122 - 32) * 5/9 = 50°
The value of 122°F in °C is 50°C
Find out more on Temperature at: https://brainly.com/question/18130122
Convert 84 grams into milligrams.
Answer:
The answer is 84000 milligrams
Step-by-step explanation:
The formula is to multiply the mass value by 1000
Answer:
84000 mg
Step-by-step explanation:
1 gram = 1000 mg so 84 times 1000 is 84000
at a basketball game a vendor sold a combined total of 116 sodas and hotdogs. The number of hotdogs sold were 36 less than the number of sodas sold find the number of sodas sold and the number of hotdogs sold.
Answer: 76 Sodas and 40 hot dogs
Step-by-step explanation:
Let S and H represent the numbers of Sodas and Hot dogs.
We are told that:
S + H = 116
We also see that:
H = S - 36
==
Take the second equation's value for H (S - 36) and use it in the first:
S + H = 116
S + (S-36) = 116
2S = 152
S = 76
and therefore H = S - 36, or 40.
76 + 40 = 116 [Checks]
76 Sodas and 40 hot dogs
Ahmed invests an amount of $1200 for three years at 6%. Work out its a- Simple interest b- Total amount after three years.
Answer: In 3 years the money earned 18%. If we rounded to 20%, the interest would have been 500(0.20) or $100. Yes, $90 is reasonable.
What is the square of the sum of five and a number diminished by 6?
Step-by-step explanation:
A number diminished by 6:
n - 6Sum of 5 and a number diminished by 6:
5 + n - 6 = n - 1The square of the sum of five and a number diminished by 6:
(n - 1)² =n² - 2n + 1