Answer:
9 and 11
Step-by-step explanation:
The sum of the squares of two consecutive positive odd integers is 202.
Let first number be x and other number is (x+2).
According to question,
[tex]x^2+(x+2)^2=202\\\\x^2+x^2+4+4x=202\\\\2x^2+4x+4=202\\\\2x^2+4x-198=0[/tex]
It is a quadratic equation. The solution of a quadratic equation is given by :
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]
We have, a = 2, b = 4 and c = -198
So,
[tex]x=\dfrac{-b+ \sqrt{b^2-4ac} }{2a}, \dfrac{-b- \sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-4+ \sqrt{4^2-4\times 2\times (-198)} }{2(2)}, \dfrac{-b- \sqrt{b^2-4ac} }{2a}\\\\x=9, -11[/tex]
So, first positive odd integer is 9 and second one is (9+2)=11
QUICK!!!
SOLVE THIS PROBLEM!!!
2-6(-5t+1)
Answer:
30t−4
Step-by-step explanation:
2−6(−5t+1)
Distribute:
=2+(−6)(−5t)+(−6)(1)
=2+30t+−6
Combine Like Terms:
=2+30t+−6
=(30t)+(2+−6)
=30t+−4
Look at the attached picture
Hope it will help you
Good luck on your assignment
Using the matrix solver on your calculator, find the solution to the system of
equations shown below.
2x - 4y = 4
x - 2y = 8
A. No solution
B. X= 2, y=4
O C. x = 1, y = 2
D. More than 1 solution
Answer:
no solution
Step-by-step explanation:
What's the eleventh term of a sequence with an explicit rule of ƒ(n) = 2 + 3(n – 1)?
Question 16 options:
A)
ƒ(11) = –31
B)
ƒ(11) = 32
C)
ƒ(11) = 23
D)
ƒ(11) = –22
Answer:
B. F(11) = 32
Step-by-step explanation:
From the explicit equation,
F(n) = 2 + 3(n - 1)
F(11) = 2 + 3(11 - 1)
F(11) = 2 + 33 - 3
F(11) = 35 - 3
F(11) = 32
The 11th term of the sequence with an explicit rule is 32
Choose the correct word(s) that completes each sentence. PLS HELP BEST GETS BRAINLESST
Answer:
meter and then gallon
Step-by-step explanation:
i hope this helps :)
Answer:
meter and gallon
Step-by-step explanation:
Solve the equation.
51 – 2z - 8z = 23
Answer: z=2.8
This is how I do!
Step-by-step explanation:
51-2z-8z=23
We simplify the equation to the form, which is simple to understand
51-2z-8z=23
We move all terms containing z to the left and all other terms to the right.
-2z-8z=+23-51
We simplify left and right side of the equation.
-10z=-28
We divide both sides of the equation by -10 to get z.
z=2.8
Answer:
Z=2.8
Step-by-step explanation:
51-10z=28
(/10) =2.8
Plez help, i am too dumb to understand math
Answer:
y+6 = 7/3(x-1)
Step-by-step explanation:
The point slope form of the equation is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y - -6 = 7/3( x -1)
y+6 = 7/3(x-1)
Answer:
D
Step-by-step explanation:
The general form of a line in point-slope form is y-k=m(x-h), where k is the y coordinate any point on the line, h is the x coordinate, and m is the slope of the line. Therefore, the equation of this line would be y+6=7/3(x-1), or choice D. Hope this helps!
I dunno how to do it
Answer:
PART 1
1.true
2.not true
3.true
4.not true
5.not true
6.true
7 true
8.not true
9.Not true w=8
10.true
11.true
12.not true j=9
13 not true a=4
14 not true y=6
15.not true b=6
16 true
Step-by-step explanation:
1.true
2.not true
3.true
4.not true
5.not true
6.true
7 true
8.not true
9.Not true w=8
10.true
11.true
12.not true j=9
13 not true a=4
14 not true y=6
15.not true b=6
16 true
Which of the following is
NOT a statistical question?
A.How many chocolates are
defect- free at a factory, each
day this month?
B. How many customers start a
new cell phone plan each day
after a sale starts?
C.How much media do American
consumers watch each day?
D.What is the legal age of
voting in Alabama?
Answer:
D
Step-by-step explanation:
There is not a variety of answers like the other options.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
PLEASE HELP 100 POINTS
HELP ME FIND THE MEAN
23, 5, 7, 18, 34, 9, 14, 18, 34, 28, 42, 16
Answer:
Hello! The answer is 20.66
Step-by-step explanation:
1. You have to add up all the numbers in the set (248)
2. You have to divide by how much numbers are in the set by their added amount. (12)
248 ÷ 12 = 20.66
Hope This Helps ;)
Please mark brainliest :)
Answer:
20.66666.... or 20 2/3
Step-by-step explanation:
the average i added all up and divided by 12
PLEASE MAKE BRAINLIEST
Simplify: -5g + 2h - 3g + g -2h
Answer: The answer is -7g
Step-by-step explanation:
-5g+2h-3g+g-2h
-5g+2h-3g+g-2h
=-7g+2h-2h
=-7g
Choose equation that best matches the table of x- and y- values
Answer:
y = x / 2 + 4
Step-by-step explanation:
Just plug the numbers in.
The answer is y = x / 2 + 4
Answer:
Step-by-step explanation:
it is y= 1/2 +4
ANSWER ASAP! I GIVE BRAINLIEST! ALREADY FOUND ANSWER BUT DO NOT KNOW IF CORRECT!
Answer:
(-4, -1)
Step-by-step explanation:
The solution of the system is always where to two lines intercept, or meet.
In the figure, b and c are parallel lines. Which of the following statements are true?
1.Joe claims the measure of angle 3 is equal to 90 degrees.Is he correct?why or why not
2.state the measure of angle 5 and how you know
Thank you!
Answer:
1. No, Joe is not correct
2. [tex]\angle 5=72^{\circ}[/tex]
Step-by-step explanation:
Given: b and c are parallel lines
To find:
1. whether the given statement is correct or not
2. [tex]\angle 5[/tex]
Solution:
1.
Sum of two angles that form a linear pair is equal to [tex]180^{\circ}[/tex]
[tex]\angle 3+72^{\circ}=180^{\circ}[/tex] (linear pair)
[tex]\angle 3=180^{\circ}-72^{\circ}=108^{\circ}\neq 90^{\circ}[/tex]
So, Joe is not correct
2.
If two lines are parallel then alternate interior angles are equal.
As b and c are parallel lines,
[tex]\angle 5=72^{\circ}[/tex] (alternate interior angles)
PLEASE ANSWER!! I WILL GIVE BRAINIEST TO WHOEVER ANSWERS THIS FIRST!!!!!!!!!!!!!!!!!!!!!!!!!!!
What is the area of the figure?
An irregular shape that is made of two rectangles end to end that are eight inches long each and four inches wide. The total length of the base is sixteen inches. With two right triangles on top of the rectangles so the right angles meet the sides of the rectangles. The total length of each side with the width of the rectangle and the side of the triangle is seven inches.
A. 88 square inches
B. 96 square inches
C. 120 square inches
D. 80 square inches
Answer:
d
Step-by-step explanation:
:)
if there are 5280 feet in every mile, then what is the soeed if the car that is traveling 35 miles per hour in feet per second
Answer:
51
Step-by-step explanation:
1. Scientists randomly select ten groups from a population of men over 50 years old. They calculate the mean
weights of each of these groups. The variability between these means can be best attributed to
(1) measurement variability
(3) induced variability
(2) natural variability
(4) sampling variability
Answer:
Step-by-step explanation:
Sampling Variability
Hope that helped! :)
Natalia has 48 tiles. Write a factor pair for the number 48.
Answer:
(12,4)
Step-by-step explanation:
Answer:
A factor Pair is like 5x5=25
So one for this would be 4x12=48
PLS HELP ME WOULD REALLY appreciate It!!!
Answer:
C. Acute and Isosceles
Step-by-step explanation:
Acute means the angles are less than 90 degrees. All of the triangles angles are less than 90 degrees.
Isosceles means they have 2 sides of equal length. In the triangle, there are 2 sides with the length of 6 in, making this an isosceles triangle
A bag of candy has 21 mini snickers bars. It has 13 more mini butterfingers bars then snickers bars. How many mini candy are in the bag
Answer:55
Step-by-step explanation:
Answer:
55
Step-by-step explanation:
21+21+13
Y= f(x)= (3/8)^x
Find f(x) when x=2 show your work
Answer:
[tex]\frac{9}{64}[/tex]
Step-by-step explanation:
Given
f(x) = [tex](\frac{3}{8}) ^{x}[/tex] then
f(2) = ([tex]\frac{3}{8}[/tex] )² = [tex]\frac{3^2}{8^2}[/tex] = [tex]\frac{9}{64}[/tex]
What is the radius of a circle whose equation is (x + 5)2 + (y - 3)2 = 427
2 units
4 units
8 units
16 units
Answer:
8 unit
Step-by-step explanation:
i tkink (x+5)2+(y-3)2=427
Factor the GCF:
24x3 + 8x
Answer:
8x(3x^2 +1)
Step-by-step explanation:
24x^3 + 8x
We can factor out 8x
8x(3x^2 +1)
tamara earns $8 an hour at her job working 25 hours per week. If 22% of her paycheck goes to taxes, what is Tamara’s monthly cash inflow? (Assume this is her only source of income and that there are 4 pays per month
Answer:
her monthly would be $624
Step-by-step explanation:
this is because 8 dollars an hour times 25 hours in 200$ a week
that multiplied by 0.78 (which is how you take off 22 percent) would give you 156.
156$*4 is 624$
I hope this helps a little better
Answer:
its b
Step-by-step explanation:
took the test thank me later <3
PLS HELP I NEED IT RN WILL MARK THE BRAINLIEST PLSLSPSophie invests a total of $4500 in two separate accounts. One account pays 4% interest per year and the other one pays 4.75% per year. If the total interest earned at the end of one year is $202.50, how much money did she invest in each account?
Answer:
4% account - $1500
4.75% account - $3000
Step-by-step explanation:
x = amount of money in the account that pays 4% interest
y = amount of money in the account that pays 4.75% interest
x + y = 4500
0.04x + 0.0475y = 202.50
4x + 4y = 18000
4x + 4.75y = 20250
4x + 4y = 18000
- (4x + 4.75y = 20250)
= -0.75y = -2250
y = 3000
x + 3000 = 4500
x = 1500
I hope this helps!
If the solutions of a quadratic equation are x = 7 and x = -5 write the possible trinomial these solutions could have derived from.
Rita had a roll of film developed for $7.38. Her flash wasn't working so only 9 pictures turned out. How much did each picture cost her?
A.
$16.38
B.
$1.64
C.
$0.82
D.
$66.42
Answer:
D. $66.42
Step-by-step explanation:
If I'm correct (which I highly doubt...)
You multiply 7.38 and 9
That should give $66.42
Sorry if I'm wrong...
And if I'm wrong, my second option would be C. $0.82
Find the mean absolute deviation (MAD) of the data in the dot plot below.
Answer: The MAD is 1.6
Step-by-step explanation:To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean: |data value – mean|.
express in meters 8.45km and 7896 cm
Answer:
8.45km= 8450 meters
7896 cm= 78.96 meters
Step-by-step explanation:
km x 1000 = m
cm x .01 = m
what are the solutions of 2x^2 +16+34=0?
Answer:
5i, and - 5i ⇒ ± 5i
Step-by-step explanation:
We are given the equation 2x^2 + 16 + 34 = 0;
2x^2 + 16 + 34 = 0 ⇒ subtract ( 16 + 34 ) from either side of equation,
2x^2 = - 50 ⇒ divide either side by 2,
x^2 = - 25 ⇒ take square root on either side of equation,
| x | = √ - 25 ⇒ apply imaginary value i,
± 5i, provided absolute value sign | |;
Solution; ± 5i
Solve: -2 < x + 3 < 5
Answer:
The answer is
[tex] - 5 < x < 2[/tex]
Step-by-step explanation:
First you have to seperate them :
[tex] - 2 < x + 3[/tex]
[tex]x + 3 < 5[/tex]
Next you can solve it by moving all the unrelated terms to the other side :
[tex] - 2 < x + 3 \\ - 2 - 3 < x + 3 - 3 \\ - 5 < x \\ x > - 5[/tex]
[tex]x + 3 < 5 \\ x + 3 - 3 < 5 - 3 \\ x < 2[/tex]
Answer:
-5 < x < 2
Step-by-step explanation:
Subtract 3 from each of the three sides.
-2 < x + 3 < 5
-2 - 3 < x + 3 - 3 < 5 - 3
-5 < x < 2