Answers
Answer:
Integers are 7, 8, 9
Step-by-step explanation:
Let three positive consecutive integers are (n - 1), n, (n + 1)
If the product of the second and the third integer is 72,
n(n + 1) = 72
n² + n = 72
n² + n - 72 = 0
n² + 9n - 8n - 72 = 0
n(n + 9) - 8(n + 9) = 0
(n - 8)(n + 9) = 0
(n - 8) = 0 ⇒ n = 8
(n + 9) = 0 ⇒ n = -9
For n = 8,
Integers will be ⇒ 7, 8, 9
For n = -9,
Integers will be ⇒ -10, -9, -8
Since, all integers are positive,
7, 8, 9 will be the answer.
Related Questions
i rlly need help!!!!!!!
Answers
For which values of x is the expression undefined?
x2 – 49
x2 – 16
Answers
You meant to say x^2 - 49 and the second binomial is x^2 - 16.
x^2 - 49 = (x - 7) (x + 7).
Set each factor to 0 and solve for x individually.
x - 7 = 0
x = 7
x + 7 = 0
x = -7
Do the same for x^2 - 16.
Here is the set up:
x^2 - 16 = (x - 4) (x + 4).
Take it from here.
Express log(2)A in terms of the 2 logarithms of prime numbers:
A= √3 * (4th root)(125)) / 7^3
Answers
Answer:
3
√
125
=
3
√
5
3
=
5
Step-by-step explanation:
Answer:
1/4 log2 1125 - 3 log2 7Step-by-step explanation:
A= √3 * (4th root)(125)) / 7^3 =(4th root) (9*125) / 7^3 =(4th root) (1125) / 7^3Finding logarithm
log2 A = log2 (4th root) (9*125) / 7^3 = 1/4 log2 1125 - 3 log2 7Why does it make sense to describe an equation that has infinitely many solutions as an identity?
Answers
Because for any value of the variable, the equation is true and it follows that there are infinitely many solutions ( values ) that satisfy the equation.
What is infinite solution of any variable?
In any equations, any value for the variable makes the equation true or we can say that an equation has infinitely many solutions if you try to solve the equation and get a variable or a number equal to itself.
Now,
For any value of the variable, the equation is true and it follows that there are infinitely many solutions ( values ) that satisfy the equation.
Learn more about the infinite solution of a variable visit:
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the compound interest formula a=p(1+r/n)^nt where p is the initial amount invested, r is the interest as a decimal, n is the number of times compound annually, the the number of years. Determine the value of the account if the initial investment is $8,000 compounded monthly at a rate of 6% after 10 years.
Answers
Answer:
Option (D)
Step-by-step explanation:
Formula to calculate the final amount after 't' years is,
A = [tex]P(1+\frac{r}{n})^{nt}[/tex]
Here P = Initial amount
r = rate of interest
n = number of times compounding done
t = duration of investment
For A = $8000
r = 0.06
t = 10 years
n = 12 (compounded monthly in a year)
Therefore, final amount = [tex]8000(1+\frac{0.06}{12})^{12\times 10}[/tex]
= [tex]8000(1+0.005)^{120}[/tex]
= [tex]8000(1.005)^{120}[/tex]
= 8000(1.8194)
= $14555.17
Therefore, Option (D) will be the answer.
Answer:
the answer is d
Step-by-step explanation:
$14,555.17
PLEAS HELPPPPP NOWW!!!!!!Liz's resting heart rate is 64 beats per minute. During a recent workout, she measured her heart rate to be 112 beats per minute. By what percentage did her heart rate increase during her workout?
Answers
Answer:
75%
Do you need the work
The Earth is approximately a sphere of
diameter 12742 km. The surface area
of a sphere is given by the formula A =
4π r2 Calculate the surface area of the
Earth. Give your answer in metres
squared and in standard form.
Answers
Answer:
2
Step-by-step explanation:
Which choices are equivalent to the quotient below? Check all that apply square root 75/15
Answers
Answers & Explanations:
The answer to A. is incorrect.
The answer to B. is correct.
The answer to C. is incorrect.
The answer to D. is incorrect.
The answer to E. is correct.
The answer to F. is correct.
hope this helps :)
The expression √(75/15) is equivalent to √(15/3), √5, and √(25/5). Then the correct options are B, E, and F.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
The expression is given below.
⇒ √(75/15)
Simplify the expression, we have
⇒ √(15/3)
⇒ √5
Or √(25/5)
Then the correct options are B, E, and F.
More about the equivalent link is given below.
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triangle ABC and DEF are similar what is the length of segment DF?
Answers
Answer:
Proportionate to whatever length the corresponding segment for the similar triangle.
Franco and Marcia getting high speed Internet access at the same time. Francos provider charges $60 for installation and $42.95 per month. Marshals provider has free installation and charges $57.95 per month. After how many months will Franco and Marsha have paid the same amount for high-speed Internet service?
Answers
Answer:
4 months
Step-by-step explanation:
Franco's provider = 60 + 42.95x
Marshal's provider = 57.95x
Where,
x = number of months
Equate both charges
Franco's provider = Marshal's provider
60 + 42.95x = 57.95x
Subtract 42.95x From both sides
60 + 42.95x - 42.95x = 57.95x - 42.95x
60 = 15x
Divide both sides by 15
60 / 15 = 15x / 15
4 = x
x = 4 Months
Franco and Marshal would have paid the same amount for high-speed Internet service after 4 months
A cookie recipe calls for 3 eggs
and makes 48 cookies. About
how many eggs would you need
to make 216 cookies?
Answers
Answer:
You would need about 13 eggs.
Step-by-step explanation:
216 cookies would be taking the original recipe and making 4 and a half batches. So we multiply 3 by 4.5 to get 13.5.
Is (-1, -4) a solution to a equation y=6x_ -2?
Answers
Solve the following equations using the partial quotients strategy.
1. 8,397 ÷ 27 = __________ 2. 9,396 ÷ 18 = __________ 3. 8,442 ÷ 14 = __________
Answers
Answer:
1. 8,397 ÷ 27 =311
2. 9,396 ÷ 18 =522
3. 8,442 ÷ 14 =603
Step-by-step explanation:
what's the slope of
(4,5) & (-1,-5)
helppppp
Answers
Answer:
the slope is 2 :)
Step-by-step explanation:
Answer:
it's 2
Step-by-step explanation:
There are 89 students in the Oakwood Middle School band. The number of boys in the band is 5 more than twice the number of girls. What is the number of boys in the band
Answers
Answer:
61 boys
Step-by-step explanation:
x=girls
2x+5+x=89
3x+5=89
3x=84
x=28
28 x 2 = 56
56+5=61
The number of boys in the band will be 61.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that there are 89 students in the Oakwood Middle School band. The number of boys in the band is 5 more than twice the number of girls.
The equation can be formed as below,
2x+5+x=89
3x+5=89
3x=84
x=28
The number of boys will be,
B = 2x + 5
B = 28 x 2 + 5
B = 56+5=61
To know more about an expression follow
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heeeeeeeeeeeeeeeeeeeeeelp
Answers
Answer:
-2
Step-by-step explanation:
Write the equation of the line that passes through the points (-8,6) and (9,-8).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answers
i need the answer asap please hurry i give you 5 stars
Explain in detail how would you plot the points –1, 5, –2.5, –3, and 2 on the number line. What is the order of the numbers?
Answers
Explanation:
The number line goes from the smallest number to the largest number. As an example you may ask why -3 is smaller than -1 even though it looks larger. This is because it actually isn’t since it is negative. When a number is negative, the higher the number are the smaller it is. One more example could be that -10 is smaller than -5.
Please PLS PLS PLS PLS Answer ASAP This Is due in a few min and its a test PLEASE will give brainliest if right!! :)
Answers
Answer:
-13
Step-by-step explanation:
A sketch of y= ax² + bx + c is shown
Answers
Answer:
Positive, Negative, One negative and one positive
Step-by-step explanation:
a refers to whether the parabola opens upwards/downwards
c refers to y-inercept
solutions to the curve is dependent on the x intercepts
This question demands knowledge on quadratic graphs. If you would like to venture further, you can check out my Instagram page (learntionary). I posts math tips and notes. Thanks!
The true statements are:
(a) is positive(c) is negativeone negative and one positive.The equation is given as:
[tex]\mathbf{y =ax^2 + bx + c}[/tex]
The graph is an illustration of a parabola.
When a parabola opens up, then the value of (a) is positive
c represents the y-intercept i.e. the point where the graph crosses the y-axis.
From the sketch, the graph cross the y-axis below the origin.
So, the value of (c) is negative
The graph crosses the x-axis, at either sides of the origin.
So, the solutions are one negative and one positive.
Read more about parabolas at:
https://brainly.com/question/11934421
Is this a function?
[tex]y= -3x^{2} +10[/tex]
Answers
y=-3x^2+10 is a quadratic function, so Yes it is a function.
In the last three years, Frederico’s basketball team won 30 more games than they lost. If they won 130 games, what was the ratio of wins to losses?
Answers
Answer:
130 to 100
Step-by-step explanation:
Answer: 130 to 100
Step-by-step explanation:
Please I'm so bad at math-
And explain it to me so I understand it next time. :)
Answers
Answer:
i dont even know chife
Step-by-step explanation:
10. +
10. LCM and GCF
Sweet Charlotte has 24 pounds of popcorn, 36 pounds of fudge,
and 144 pounds of lollipops. They will ship out boxes that
contain all 3 items. Each box will have the same amount of
popcorn, fudge, and lollipops. What is the max number of boxes
they can ship out?
A 2 boxes B. 4 boxes C 12 boxes D. 24 boxes
A
B
Answers
Answer:
12 boxes or C.
Step-by-step explanation:
Max = divide.
GCF=12.
LCM = 144.
Difference:
144/12 or 12.
So 12 boxes
Hope this helps :D
Is -59+8 positive or negative
Answers
Answer:
Negative
Step-by-step explanation:
It's negative because there are 59 negatives and 8 positives. Since there are more negatives the sum is negative.
-59+8 = -51
Hope this helps ya!
Solve
28 - K _> 7(K - 4)
Answers
Answer:
Solving the inequality [tex]28-K\geq 7(K-4)[/tex], we get [tex]\mathbf{K\leq 7}[/tex]
Step-by-step explanation:
We need to solve the inequality [tex]28-K\geq 7(K-4)[/tex]
Using the BODMAS rule, first we will solve the bracket:
[tex]28-K\geq 7(K-4)\\28-K\geq 7K-28[/tex]
Now, we will subtract 28 from both sides
[tex]28-K-28\geq 7K-28-28\\-K\geq 7K-56[/tex]
Subtracting -7k on both sides
[tex]-K-7K\geq 7K-56-7K\\-8k\geq -56[/tex]
Finally, divide both sides by -8 and inverse the inequality, as we are dividing with a minus digit.
[tex]\frac{-8K}{-8}\leq \frac{-56}{-8}\\K\leq 7[/tex]
So, solving the inequality [tex]28-K\geq 7(K-4)[/tex] we get [tex]\mathbf{K\leq 7}[/tex]
The area width is 9ft the total is 27ft
Answers
Answer:
3ft
Step-by-step explanation:
because 9 times 3 equal 27
= Find the slope of a line that goes through the (-3,2) and (1,5)
PLz helpp Im confused on this
Answers
Answer:
-2/3 (fraction)
Step-by-step explanation:
Answer:
The slope is [tex]\frac{3}{4}[/tex].
Step-by-step explanation:
[tex]m=\frac{rise}{run}=\frac{5-2}{1+3}=\frac{3}{4}[/tex]
Hope this helps.
Select the equation which represents the graph.
Question 1 options:
A: y − 3 = 3/2(x − 4)
B: y − 3 = 2/3(x − 4)
C: y − 3 =− 2/3(x − 4)
D: y − 3 = −3/2(x − 4)
Answers
Answer:
B. [tex] y - 3 = \frac{2}{3}(x - 4) [/tex]
Step-by-step explanation:
We can create an equation to represent the graph in point-slope form, given as [tex] y - y_1 = m(x - x_1) [/tex], by using a point (x1, y1) on the line, (4, 3) and the slope (m) of the line.
Let's find slope using the two points (4, 3) and (-2, -1).
[tex] slope (m) = \frac{y_2 - y_1}{x_2 -x_1} = \frac{-1 - 3}{-2 - 4} = \frac{-4}{-6} = \frac{2}{3} [/tex]
Substitute m = ⅔, x1 = 4, and y1 = 3 in [tex] y - y_1 = m(x - x_1) [/tex].
The equation that represents the graph would be:
✅[tex] y - 3 = \frac{2}{3}(x - 4) [/tex],
what is the fraction of 23%
Answers
Answer:
23/100
Step-by-step explanation:
is this what u mean?
Answer: is 23/100
im rite
on
ma
mama