Answer:
2x^2+x-36=0
(4,0)
2*4^2+4-15=21
Step-by-step explanation:
The addition is one of the four fundamental mathematical operations. The two integers are 4 and 17.
What is Addition?The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.
Let the two unknown integers be represented by x and y, where x
Given that The sum of two integers is 21. Therefore, we can write,
x + y = 21
y = 21 - x
Also, Fifteen less than double the square of the smaller integer is equal to the larger integer.
2(x²) - 15 = y
Substitute the value of y from the first equation,
2(x²) - 15 = 21 - x
2x² - 15 = 21 - x
2x² + x - 15 - 21 = 0
2x² + x - 36 = 0
2x² + 9x - 8x - 36 = 0
x(2x + 9) -4(2x + 9) = 0
(x-4)(2x+9) = 0
x = (-9/2), 4
Since it is given that the number are integers, therefore, the only option is 4.
Further, the two integers are,
x = 4
y = 21 - x = 21 - 4 = 17
Hence, the two integers are 4 and 17.
Learn more about Addition here:
https://brainly.com/question/14092461
#SPJ2
Mai says that equations A and B have the same solution.
Equation A: –3(x + 7) = 24
Equation B:x + 7 = -8
Explain why this is true?
Answer:
Step-by-step explanation:
Equation A:
-3(x + 7) = 24
=> -3x -21 = 24
=> -3x = 45
=> x = -15
Equation B:
x + 7 = -8
=> x = -15
SOMEONE PLEASE HELP! IVE BEEN ASKING FOR DAYS AND ITS DUE TODAY.
Please provide a step by step explanation. Thank you.
The complex numbers $z$ and $w$ satisfy $|z| = |w| = 1$ and $zw \ne -1.$
(a) Prove that $\overline{z} = \frac{1}{z}$ and $\overline{w} = \frac{1}{w}.$
(b) Prove that $\frac{z + w}{zw + 1}$ is a real number.
Answer:
My father is a theoretical physicists and he says those aren't even real numbers. But my uncle just got released from prison for hacking someone and he says are some codes for hacking if you want to try it.
Step-by-step explanation:
P.S. THIS IS FOR YOUR SAFTEY, PLEASE READ! ⚠️ There is a Mickey Mouse profile that will dm you on any social platform do NOT open the message or even look at it, the message will be “do you wanna play a game” once again DO NOT open it, the game includes tasks. Some of the tasks are carving a whale into your arm, do stuff to you family and the last task is to take your live (life) ALSO STOP BRING UP MOMO AND WATCH OUT FOR KENYONN AND SMOG AND A FEW OTHERS ON BRAINLY THEY DELETING EVERYTHING ⚠️COPY AND PASTE TO SPREAD! Stay safe! This is a scary situation! Avoid at all costs! It's on the news! SPAM THIS INSTEAD OF DOGE AND BOB! ALSO AT THE END IF YOU WOULD LIKE TO JOIN THE Threat Protection and Gossip Group just say 123 at the end of your response! SPREAD THIS EVERYWHERE! THIS IS NOT A JOKE OR PRANK STAY SAFE AT ALL COSTS DO NOT OPEN IT! 12334.2 was rounded to one decimal place. What is the upper and lower bound?
Answer:
lower=34.15 upper=34.25
Step-by-step explanation:
24. $5.24 + 23¢ + 2¢ (53)
Answer:
$5.49
Step-by-step explanation:
Rewrite 23¢ and 2¢ as $0.23 and $0.02, and then combine them: $0.25. Now add this result to $5.24. We get $5.49
please help meeee!?!?!?!?!?!??!?!??
Answer:
Zero Slope
Step-by-step explanation:
Answer:
do u uhh still get on here
Step-by-step explanation:
Complete the
following patt
using the formula belowo:
Question 2: lf 2,5,8,11,14......is a sequence, Find:
8 th
• 11 th
15 th
• 22 th
• 18 th
Answer:
8th: 23
11th: 32
15th: 44
22nd: 65
18th: 53
Step-by-step explanation:
The pattern is adding 3 each time:
2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38, 41, 44, 47, 50, 53, 56, 59, 62, 65
Hope it helps!
between which two integers that Square Root of 11 Lie?
Answer:
3 and 4
Step-by-step explanation:
Answer:
3 and 4
Step-by-step explanation:
Plss help......ASAP!!
Answer:1-12.5 feet, 2-10 feet, 3-13.75 feet, 4-8.125 feet,5-25 feet, 6-20 feet
Step-by-step explanation: All you have to do is break down the scale factor to 1:2.5 and multiply each measurement by 2.5.
when i multiply it by 6 and subtract 29, the answer is 37.
what is my number?
Let the required number be "x"
According to the statement:
x(6) - 29 = 37
6x - 29 = 37
6x = 37 + 29
6x = 66
x = 66/6
x = 11
Therefore, the required number is 11.
when i multiply it by 6 and subtract 29, the answer is 37.
what is my number?
SOLUTION:▶️Let the required number be x.
According to the question the equation will form like:
▶️6x - 29 = 37
▶️6x = 37+29 (transposing x to RHS)
▶️6x = 66
▶️x = 66/6 (transposing 6 to RHS)
▶️x = 11
VARIFICATION:According to the question :
▶(️11×6) - 29
▶️ 66 - 29
▶️37
Hence varified..
ANSWER:11
What is the value of ry' when x = 5 and y = 10?
Answer:
135
Step-by-step explanation:
Answer:
1250
Step-by-step explanation:
X^3 • Y^1
Since X=5 & Y=10,
Substitute
5^3 •10^1
simplify
5*5*5*10=1250
A sketch of a rectangular patio is shown below. A concrete triangular section is planned for an outdoor fireplace. What is the area of the concrete section, in square units? A rectangle has a width of 69. A segment is drawn from the top left corner down to a point on the bottom side, creating a right triangle. The segment, which is the hypotenuse of the triangle, is 115 units long. From the segment to the bottom left corner is 100 units. A. 517.5 square units B. 1,587 square units C. 3,174 square units D. 7,935 square units
Answer:
3,174
Step-by-step explanation:
Answer: 3,174
Step-by-step explanation:
115^2-69^2= sqrt8464=92
100+92=whole leg=192
192*69=13248= whole area
69*92=6348
6348/2
=3174
Which is a better buy, 5 for $4.25 or 8 for $6.88?
Answer:
5 for $4.25
Step-by-step explanation:
First you find how much of one each cost
4.25 divided by 5 = 0.85
6.88 divided by 8 = 0.86
The one for 5 for $4.25 is one cent less
one cent is still money
Got any easy question to do.
Will give, Branliest.
Thanks,
:)
Answer:
10g
Step-by-step explanation:
The apple crumble recipe serves 6 people.
Natalie wants to make it so that it serves 2 people.
6/2 = 3
Which means that the original recipe is 3 times of what Natalie wants.
So if you just divide the original recipe by 3, you can get what Natalie wants.
30g / 3 = 10g
Natalie should use 10g of butter.
Answer:
275g
Step-by-step explanation:
Divide the amount of apple crumble left from the 2x you gave to your friends.
550 Divided By 2= 275g
Point A (2, -3) is translating five units to the left and 4 units up. What is thenew point? *
(-3, 1)
(-5, 4)
(7, 1)
(-3,-7)
A drug is available in 100mg/mL. The patient needs 0,75 g of the drug. How many mL should be administered.
Answer:
7.5 ml
Step-by-step explanation:
A drug is available in 100mg/mL.
This means, there is
100mg of the drug in 1 ml
100mg = 1 ml
Step 1
We convert 100mg to g
1 mg = 0.001 g
100 mg = x
Hence,
x = 100 × 0.001g
x = 0.1 g
Hence,
We have 0.1g in 1 ml
Step 2
The patient needs 0.75 g of the drug. How many mL should be administered?
From step 1, we know that:
0.1g = 1 ml
0.75g = x
Cross Multiply
0.1g × x = 0.75g × 1 ml
x = 0.75g × 1 ml/0.1g
x = 7.5 ml
Therefore, 7.5 ml should be administered to the patient.
In 2003 a gallon of gas cost $1.75. The cost has risen $0.17 each year since then
Write an equation to represent the cost of gas (in gallons) as a function of years.
What would the cost of a gallon of gas be in 16 years?
Answer:
x + m × y
$4.47
Step-by-step explanation:
The equation and computation is shown below:
Let us assume the cost of gallon be x
Increase each year be m
And, the number of years be y
So, the equation is
= x + m × y
The cost of gallon of gas in 16 years is
= $1.75 + $0.17 × 16
= $1.75 + $2.72
= $4.47
find the value of x. do not include the degree symbol in your answer.
thank you if you can help!
Answer:
x = 50
Step-by-step explanation:
The chord- chord angle is half the sum of the arcs intercepted by the angle and its vertical angle, that is
[tex]\frac{1}{2}[/tex](x + 110) = 80 ← multiply both sides by 2 to clear the fraction
x + 110 = 160 ( subtract 110 from both sides )
x = 50
Answer:
50 but also 135
Step-by-step explanation:
HELP ASAP!!
Find the length of side a
Answer:
d. 8
Step-by-step explanation:
by Pythagoras theorem:
(Hypo)² = (Perp)² + (Base)²
(Perp)²= (Hypo)² - (Base)²
= 10 × 10 - 6 × 6
= 100 -36
=(underroot) 64
= 8
A population of 55 foxes in a wildlife preserve triples in size every 10 years. The function y=55•3x, where x is the number of 10-year periods, models the population growth. How many foxes will there be after 30 years?
Answer:
495
Step-by-step explanation:
there are three 10-year periods in 30 years so multiply 55 · 3(3), which is 495
Activity 1: Put me in the Box!
Direction: Determine the hypothesis and the conclusion of the given statement
the hypothesis in Box A and the conclusion in Box B.
1. Vertical angles are congruent
2. Bats are mammals that can fly.
3. You are a good citizen when you obey rules and regulations.
4. A number is divisible by 10 if its last digit is a 0.
5. 3x + 6 = 21, because x = 5
Step-by-step explanation:
To find - Determine the hypothesis and the conclusion of the given
statement the hypothesis in Box A and the conclusion in Box B.
1. Vertical angles are congruent
2. Bats are mammals that can fly.
3. You are a good citizen when you obey rules and regulations.
4. A number is divisible by 10 if its last digit is a 0.
5. 3x + 6 = 21, because x = 5
Proof -
Firstly we will write the conditional statements , so that we can easily find the hypothesis and the conclusion of the given statement.
1.)
Given statement - Vertical angles are congruent
Conditional statement - If two angles are vertical , then they are congruent.
Hypothesis - Two angles are vertical
Conclusions - They are congruent.
2.)
Given statement - Bats are mammals that can fly
Conditional statement - If bats are mammals , then they can fly.
Hypothesis - Bats are mammals
Conclusions - They can fly.
3.)
Given statement - You are a good citizen when you obey rules and regulations.
Conditional statement - If you are a good citizen , then you obey rules and regulations.
Hypothesis - You are a good citizen
Conclusions - You obey rules and regulations.
4.)
Given statement - A number is divisible by 10 if its last digit is a 0.
Conditional statement - If a number is divisible by 10, then its last digit is a 0.
Hypothesis - A number is divisible by 10
Conclusions - Its last digit is 0.
5.)
Given statement - 3x + 6 = 21, because x = 5
Conditional statement - If 3x + 6 = 21, then x = 5
Hypothesis - 3x + 6 = 21
Conclusions - x = 5
pls help me with this question
Answer:
height = 12 feet
Step-by-step explanation:
r (radius of circle) = 7 ft
pi = 3.14 (in this context)
v = 1/3 * [tex]πr^{2}[/tex] (or pi * radius squared) * h
r squared = 49 ft
v = 1/3 3.14 * 49 * h
v = 1/3 153.86 * h
3v = 153.86 * h
v = 196π
v = 615.44
3v = 1,846.32
1,846.32 = 153.86 * h
h = 12 ft.
pls hurry will give brainliesttt
Answer:
It's on the line x
Step-by-step explanation:
Draw the line over it
Find an equation in point-slope for the line having the slope m m = - 6 and containing the point (8,6)
Answer:
y-6 = -6(x-8)
Step-by-step explanation:
Here, we want to get the equation of the line in point-slope form
The point slope form is;
y-y1 = m(x-x1)
(x1,y1) represents the slope
We have this as ;
y-6 = -6(x-8)
(a)
Find the hypotenuse, c, of the triangle.
4
B
12
Figure not drawn to scale
Answer:
[tex]\sqrt{160}[/tex]
Step-by-step explanation:
[tex]a^{2} +b^{2} =c^{2} \\4^{2} +12^{2} =c^{2} \\16+144=c^{2} \\160=c^{2}\\\sqrt{160}=\sqrt{c^{2} }[/tex]
Hope this helps
PLS HURRY WILL GIVE BRAINLIEST
Answer:
C. y= 6x-5
Step-by-step explanation:
Given Information :
Slope (m) = 6
y-intercept (b) = -5
Equation of a line :
y=mx+b
Where :
m = slope
b = y-intercept
So , with the given the information , the equation is :
[tex]y = 6x - 5[/tex]
Felipe and Makayla each tried to solve the same equation for x.
Original equation: 2x + 6= 3x - 8
The result of Makayla’s first
step was 6 = x - 8
Describe the first step Makayla made to the equation.
complete the square
x²+8x
pls help lots of points and brainlist
Answer:
( x + 4 ) ²-16
Step-by-step explanation:
WILL MARK BRAINLIEST HELP PLEASE
Answer:
7.) m = 1/3 ; b = -2.5
8.) m = 2 ; b = 2
Step-by-step explanation:
For m, either do the rise over run method or use 2 points and do (y2-y1)/(x2-x1).
For b, just look at the y-intercept/where it crosses the y axis
I believe those are the right answers but not too sure because the numbers on the graph are a bit blurry so i just assumed it counted by ones.
A number between 10 and 20 is both a foctor of 60 and
a multiple of 6.
What is the number?
Answer:
12
Step-by-step explanation:
List out factors of 60 =
1 x 60 = 60
2 x 30 = 60
3 x 20 = 60
4 x 15 = 60
5 x 12 = 60
6 x 10 = 60
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60 are factors of 60.
List out multiples of 6 from 10 to 20.
12 and 18.
Since 12 is seen on one of the factors of 60 and a multiple of 6 between 10 and 20, the answer is 12.
Marco's height is 63 inches. Marco's height is 3 inches less than 1.5 times Jennifer's height. What is Jennifer's height in inches? 40 in. B 44 in. C 64.5 in. D 58.5 in.
Answer:
B. 44 in.
Step-by-step explanation:
Let Jennifer's height be x inches, then:
1.5x - 3 = 63
1.5x = 66
x = 66/1.5
= 44 in.
