Answer:
The two integers are 20 and 22.
Step-by-step explanation:
Let x be the first integer.
[tex](x+2)^{2}-x^{2} = 84\\x^{2} +4x+4-x^{2} = 84\\4x = 80\\x = 20[/tex]
Applying the difference of squares, and solving the equation, it is found that the numbers are 20 and 22.
----------------------
The two consecutive even integers are: n and n + 2.The difference of the squares is given by:[tex]D_s = (n+2)^2 - n^2[/tex]
Expanding the difference:
[tex]D_s = n^2 + 4n + 4 - n^2[/tex]
[tex]D_s = 4n + 4[/tex]
----------------------
The difference is 84, thus:
[tex]D_s = 84[/tex]
Now, we solve for n.
[tex]4n + 4 = 84[/tex]
[tex]4n = 80[/tex]
[tex]n = \frac{80}{4}[/tex]
[tex]n = 20[/tex]
----------------------
Thus, the numbers are: [tex]n = 20[/tex] and [tex]n + 2 = 20 + 2 = 22[/tex]
A similar problem is given at https://brainly.com/question/5453470
Express 0.00419 in standard form
What is the value of x?
-5x – 2 = -13
Answer:
2.20
Step-by-step explanation:
So add +2 both sides that cancels 2 and that makes it -11.00 now divide it by -5 and x is by itself
So when you divide it x=2.20
Hope that helps
Round 9,675,599 to the nearest 1,000.
Answer: 9,676,000
Step-by-step explanation:
Increase the digit by 1 if the previous digit is 5 or above
Answer: 9676000
Step-by-step explanation: you have to go the thousands place and round up because anything 5 or below round up
HELP ASAP PLEASE WILL GIVE BRAINLIEST
pls give explanation too
graph f(x) = |x+5|
FREE 100 POINT GIVEAWAY PLS READ DOWN BELOW TO ENTER(YOU CAN ENTER IN THE COMMENTS TOO)
I'm going to be doing two random question (you can only answer each once) and ill post the giveaway so you can get your points- if the answer box is full then u can answer in the comment section too this time you must get both question right;)
1. How many ounces are in a basic water bottle
2. Thinking of a letter H-N
Answer:
I think like 16.9 fluid ounces
K
Step-by-step explanation:
Answer:
<3
Step-by-step explanation:
4x^2-21x-18=0
Find the discriminate
a = 4, b = -21, c = -18
to keep from getting "mixed up", evaluate the discriminant first ...
b<sup>2</sup> - 4ac = (-21)<sup>2</sup> - 4(4)(-18) = 729
sqrt(729) = 27
x = (21 +/- 27)/8
x = -3/4, x = 6
since the discriminant is a perfect square, the original quadratic will factor ...
4x<sup>2</sup> - 21x - 18 = 0
(4x + 3)(x - 6) = 0
x = -3/4, x = 6
Answer:729
Step-by-step explanation: Use the values of a, b and c to find the discriminant. Which is 729
There are 4 green gumballs, 3 blue gumballs, and 6 red gumballs. What is the probability of getting a red gumball
ANSWER NEEDED ASAP
Answer:
6/13
Step-by-step explanation:
b/c it is 6 wanted amount out of 13 total amount
Work out the missing numbers
Answer:
A -19
B -35
C -180
D-9
Step-by-step explanation:
Answer:
1.= -19 2. -35 3. -180 4. -81
Step-by-step explanation:
help i’ll give brainliest
Answer:
I think its 4.5
Step-by-step explanation:
area is length × width
what is 12.0 - 9.6= what
Answer:
Step-by-step explanation:
2.4
Answer:
2.4
Step-by-step explanation:
9.6 to 10 is .4
10 to 12 is 2
2+.4= 2.4
(That's how I do it mentally, sorry if it doesn't help with you)
If y = 45 when x = 180, what is the y when x= 90
Answer:
24.5
Step-by-step explanation:
Since 180 is double 90 divide 45 by 2 and you'll get 24.5
Evaluate if x = 4 helppp
Y0UR M0MWY 100KS L1KE TH1$
Answer:
I'm confused to what this means
please help me solve it
Answer:
2(a)=20t
Step-by-step explanation:
Mark me as brainliest
Aline that intersects two or more lines at different points
9514 1404 393
Answer:
transversal
Step-by-step explanation:
A line that crosses others in the same plane might be referred to as a transversal. The most common usage of this term is in cases where the crossed lines are parallel or nearly so.
The graph of F(x), shown below, has the same shape as the graph of G(x) = x^3, but it is shifted down 2 units. What is its equation?
JJ decides to leave a tip that is 15% of the original price for his meal. How much should he leave as tip for the $5.50 cheeseburger and $2.50 milkshake? Express your answer to the hundredths place?
Answer: $9.20
Step-by-step explanation: To get the answer, you add both the cost and multiply it by .15. Then you add the product to the number you got adding the cost of the food.
Answer:
$1.20
Step-by-step explanation:
He has to leave 100% of the cost which is $5.50 + 2.50 or $8.00.
He wants to leave 115% of the $8 he has to leave.
So you set it up like
x/8 = 115/100
Then you solve for x
8(115) = 920
920/100 =9.2
So he will leave $9.20.
It then asks for just how much the tip is that he will leave so
9.2 - 8 = 1.2
So the tip is $1.20.
(Type an integer or a decimal)
Answer:
3
Step-by-step explanation:
3y=12y-27
27=9y
y=3
PLEASE HELP!!
Enter numbers into the table so that the paired values are in a proportional relationship.
x 2 6 8 (?) 20
y (?) 3 4 6 10
fill the (?) in.
Answer: x is, 2 6 8 10 20-- i think
Step-by-step explanation: y is, 2 3 4 6 10
Answer:
ya he's rite
Step-by-step explanation:
An animal shelter spends $3.00 per day to care for each cat and $5.00 per day to care for each dog. Penelope noticed that the shelter spent $69.00 caring for cats and dogs on Tuesday. Penelope found a record showing that there were a total of 17 cats and dogs on Tuesday. How many cats were at the shelter on Tuesday
Answer:
x=16
Step-by-step explanation:
SOMEONE JUST GIVE ME THE ANSWER
Answer: I thought I saw options in the corner could you give me the options? And then I'll give my answer in the comment box;) no worries we'll figure it out!! :)
Step-by-step explanation:
Answer:
Area is 68x^2 the missing number by 3x is 5 and the missing number at the bottom is 4.
Step-by-step explanation:
Simplify the following expression five to the power of -3
Find the missing part of the triangle.
1 1/4 hours is = how many minutes
Answer: 75 minutes
Step-by-step explanation:
Answer:
75 minutes
Step-by-step explanation:
1 hour= 60 minutes
1/4 of an hour= 25 minutes
1 1/4= 75 minutes
Hope this helped!
gil borrows $8000 for college expenses. he will pay a total of $2280 back in interest after 6 years. what was his interest rate
Answer:
R = 41.8129%/year
Equation:
r = (1/t)(A/P - 1)
Calculation:
Solving our equation:
r = (1/6)((8000/2280) - 1) = 0.41812865
r = 0.41812865
Converting r decimal to R a percentage
R = 0.41812865 * 100 = 41.8129%/year
The interest rate required to get a total amount, principal plus interest, of $8,000.00 from simple interest on a principal of $2,280.00 over 6 years is 41.8129% per year.
Step-by-step explanation:
Answer:
I believe it is 4.75 %
Step-by-step explanation:
2,280 × 100 = 228,000
228,000 / 8,000 = 28.5
28.5/6 = 4.75 %
Guys quickly what is 1% of 75?
Answer:
the answer is 0.75
...................................
Whoever can answer this correctly gets Brainliest + 20 Points! Make sure to explain to me how you got your answer so I can understand and be on the same page as you.
Answer:
1.
Step-by-step explanation:
both A and B are functions
A number a is a root of P(x) if and only if the remainder, when dividing the polynomial by x+a, equals zero.
a. true
b. false
Answer:
Pretty Sure False.
Answer: false
Step-by-step explanation: a pex
I have been stuck on this and don’t know what the answer is
Answer:
x= -1 or x= -11
Step-by-step explanation:
Answer:
i think its D. Im not fully sure
Step-by-step explanation:
A rectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal? 31 units 39 units 41 units 49 units
Answer: 41 units
Step-by-step explanation: took the quiz
The length of the diagonal is 41 units.
To find the length of a diagonal.
What is rectangle?A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees.
Let a right triangle with legs length 9 units and 40 units and hypotenuse is the diagonal length c.
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]9^{2} +40^{2} =c^{2}[/tex]
[tex]81+1600=c^2\\1681=c^2[/tex]
sqrt both sides
41=c
So, the length of the diagonal is 41 units.
Learn more about rectangle here:
https://brainly.com/question/19610543
#SPJ6