Answer:
8.25
Step-by-step explanation:
(-10,-7) (-8,1) find the distance between the two points show work.
The formula for calculating the distance between the two points is expresses as;
D = √(x2-x1)²+(y2-y1)²
D = √(-8+10)²+(1+7)²
D = √(2)²+8²
D = √4+64
D = √68
D = 8.25
Hence the distance between the two points is 8.25
A student performed the following steps to find the solution to the equation
X2 - 2x - 8 = 0. Where did the student go wrong?
Step 1. Factor the polynomial into (x - 4) and (x - 2)
Step 2. X-4 = 0 and x - 2 = 0
Step 3. x = 4 and x = 2
A. in Step 2
B. in Step 1
C. The student did not make any mistakes, the solution is correct
D. in Step 3
Answer:(b) step 1
Step-by-step explanation:
The wrong step in the student's workings is step 1
How to determine the wrong step?The equation is given as:
x^2 - 2x - 8 = 0
Expand the equation
x^2 + 2x - 4x - 8 = 0
Factorize the equation
x(x + 2)- 4(x + 2)
Factor out x + 2
(x - 4)(x + 2) = 0
The above means that the factored equation of x^2 - 2x - 8 = 0 is (x - 4)(x + 2) = 0
This means that the step 1 of the student's step is wrong and incorrect
Read more about equations at:
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Mark tried to pour 36 ounces of tea into 3 cups After filling the cups to the top there was still 13.5 ounces left in his tea pot if each cup is the same size how much tea is in each cup
Answer:
12
Step-by-step explanation:
its 12
What is the solution to the following system of equations?
y = -x - 3 y = 1/2x
Answer:
3?
Step-by-step explanation:
What is the value of a?
Answer:
9
Step-by-step explanation:
I WILL GIVE YOU BRAINLY PLSS
Translate the phrase: twice m increased by 2 is equal to 7 more than m.
A. m/2 + 2 = 7 + m
B. 2m + 2 = 7 + m
C. 2m + 2 = m + 7
C. 2m * 2 = m + 7
PLSS SHOW YOUR WORK PLSS
twice m is 2m, increased by 2 is + 2, equals 7 more than m is m + 7. So C is your correct answer.
Answer:
C
Step-by-step explanation:
twice m increased by 2, is basically 2m + 2. Seven more than m translate to m+7. Hope that helps.
The equation P = 16,250 + 75n can be used to determine the population, P, of a city after n years. Which statements are true? Select ALL that apply. The initial population was 16,250 people. The initial population was 16,250 people. The population after 10 years was 16,325 people. The population after 10 years was 16,325 people. The population increases by 75 people each year. The population increases by 75 people each year. The population increases by 16,250 people each year. The population increases by 16,250 people each year. The population increases by 16,250 people every 75 years. The population increases by 16,250 people every 75 years.
Answer:
15000+1250x
Step-by-step explanation:
Since the initial population is 15,000, we want to know how many people are going to Jonesville each year. Assuming that in 2001 and in 2002, each year adds 1,250 people and that it is constant. The equation is 15000+1250x in which 15,000 represents the initial number and 1250 is the amount of people added each year followed by x which is the number in years.
Need this very badly giving 10 points
Answer:
A is your answer
Step-by-step explanation:
width= 9 cm
length= 5 cm
height= 20cm
formula: 2(lw+lh+hw)
2(5*9+ 5*20+ 20*9)
2(45+ 100+ 180)
2(325)= 650 cm
Jordan exercises from 6 a.m. to 8 a.m. on all
days included in the set of days from Monday
to Saturday, exclusive. How many hours does
Jordan exercise per week?
Answer:
12 hours
Step-by-step explanation:
They work out from 6 to 8, that is two hours. Then, they workout 6 days of the week. 6 times 2 is 12
amid has gained weight he now weighs 88kg which is 10% higher than his normal weight. what is his normal weight?
Answer:
88*0.9= 79.2 (since it's 10% higher, multiply by .9 to find out what 90% of 88 is
you also could've done 88*0.1=8.8 and then subtract 8.8 from 88 and get 79.2
either way his normal weight is 79.2kg
6 quarts =
gallons
Please i meed help answer fast
Answer:
1 2/4 or 1.5
Explanation:
There are 4 quarts in a gallon, and 2 left over add 1/2 to the full gallon. So, 1 gallon, plus 2 quarts, which is equal to 1/2 gallon, is 1.5 gallons :D
Hope this helped!
Hiii I’m new I need help
On this question pls thank you
Answer:
answer 2
Step-by-step explanation:
Need to know the following angle
Given:
[tex]m\angle A=(2x-15)^\circ[/tex]
[tex]m\angle B=(x-5)^\circ[/tex]
[tex]\text{Exterior}\ m\angle C=148^\circ[/tex]
To find:
The [tex]m\angle ABC[/tex].
Solution:
In triangle ABC,
[tex]\text{Exterior}\ m\angle C=m\angle A+m\angle B[/tex] [Exterior angle theorem]
[tex]148=(2x-15)+(x-5)[/tex]
[tex]148=3x-20[/tex]
[tex]148+20=3x[/tex]
[tex]168=3x[/tex]
Divide both sides by 3.
[tex]\dfrac{168}{3}=x[/tex]
[tex]56=x[/tex]
Now,
[tex]m\angle ABC=(x-5)^\circ[/tex]
[tex]m\angle ABC=(56-5)^\circ[/tex]
[tex]m\angle ABC=51^\circ[/tex]
Therefore, [tex]m\angle ABC=51^\circ[/tex].
To solve the equation 2−5(3+4x)=2x+7, Miranda's first step was to write 2−15−20x=2x+7. Which property did Miranda use in her first step?
Answer:
Step-by-step explanation:
distributive
Marisa wants to buy an iPad. She
already saved $25 and plans to
save an additional $10 each week.
Write an expression that represents
the total amount of money Marisa
has saved after any number of
weeks. Use w for number of weeks.
Answer:
f(w)(or y)=10w+25
Step-by-step explanation:
The 25 is how much you have saved up and the 10 is how much you get each week
please help as soon as possible
Step-by-step explanation:
HERE,
angle A=x+5
angle B=3x
angle C=x
we know that,
sum of three angle of a triangle =180°
According to the question,
[tex]\tt{ x+5+3x+x=180 }[/tex]
[tex]\tt{5x+5=180 }[/tex]
[tex]\tt{ 5x=180-5 }[/tex]
[tex]\tt{5x=175 }[/tex]
[tex]\tt{ x=\dfrac{175}{5} }[/tex]
[tex]\tt{x=35 }[/tex]
So,
[tex]\bold{\angle{B}=3x=3×35=105° }[/tex]
find the value of x. round your answer to the nearest tenth.
-8 - 4 = -2 + n - 6 - 8n please I need the answer
Solve 11x - 6 = 10.5
Answer:x= 1.5
Step-by-step explanation:
I think
Answer:
X=1.5
Steps:
11x-6=10.5
11x=16.5
x=1.5
This is my last question!! I need help
Answer:
c) 533
Step-by-step explanation:
Use the trigonometry theorem
tan10°= 94/x
x=533
Is x + 5 a factor of P(x) = x ^ 3 + 4x ^ 2 + 2x + 35
Answer:
yes
Step-by-step explanation:
If ( x + 5) is a factor of p(x) then p(- 5) = 0
p(- 5)
= (- 5)³ + 4(- 5)² + 2(- 5) + 35
= - 125 + 100 - 10 + 135
= 0
Since p(- 5) = 0 then (x + 5) is a factor of p(x)
Answer:
(x +5 ) is a factor
Step-by-step explanation:
x + 5 = 0
x = -5
P(x) = x³ + 4x² + 2x + 35
P(-5) = (-5)³ + 4*(-5)² + 2*(-5) + 35
= -125 + 4*25 - 10 + 35
= -125 + 100 - 10 + 35
= -25 -10 +35
= -35 + 35
= 0
P(-5) = o. So, (x +5 ) is a factor
The organization sent
out 640 invitations to a
fundraiser. Of those
invited 416 attended.
What percent of the
people invited attended
the fundraiser?
Answer: 65%
Step-by-step explanation:
The organization sent out 640 invitations.
416 out of this 640 attended the fundraiser.
The percentage who attended is:
= 416/ 640
= 0.65
= 65%
The company that owns the telescope gives a discount of $8 off the rental fee for every rental hour after the first two hours. The team of three astronomers will rent the telescope for 5 hours.
A company interested in the astronomers' research has agreed to pay for 40% of the telescope rental costs. If the astronomers divide up the remaining costs evenly, how much will each of them pay for the 5 hours of rental time?
Answer:
20
Step-by-step explanation:Please give me a brainly
Please help, I'll give you 20 points
Answer: y=1/2x+-4
(You cant give a certain number of points btw)
PLEASE I NEED HELP URGENTLY
A long-distance phone company charges $4.95 month plus an additional $.10 per minute. a. Define a variable and write a formula to find the total cost per month for long-distance service. b. Use this formula to find the long-distance charges for 120 minutes of calls in one month.
Which of the following is the slope of the line that passes through the points
(-3, 5) and (1,15) ?
a) 5
b) -3
C)7/3
D)5/2
A kennel has 65 dogs in total some are puppies and some are adult dogs the ratio of puppies to adult dogs in a kennel is 2:3 how many puppies are there
Answer:
26 puppies
Step-by-step explanation:
Step one:
Given data
We are given that there are 65 dogs in total
The ratio of puppies to adult dogs in a kennel is 2:3
Total ratio= 2+3= 5
Required
The number of puppies in the kennel
Step two:
Let us the part to all method to find the number of puppies
let the number of puppies be x
2/5=x/65
cross multiply we have
5x= 65*2
5x= 130
divide both sides by 5
x= 130/5
x=26 puppies
Also, the number of adults dog is
65- 26= 39
Jack wants to lose some weight and is highly motivated to follow the orders of his doctor. His doctor has given him a goal that he is to decrease his weight by 2 3/8 pounds per week. If Jack weighs 250 pounds
when he starts the diet, how much will he weigh after five weeks on the
diet?
Answer:
The answer would be 11 7/8 pounds
Step-by-step explanation:
2 3/8 times 5 equals 11 7/8.
Hope I helped!! :)
Sorry if it's wrong! :(
Pls mark brainlist.
Luci Lulu opened a cookie store in the mall. She found that the relationship between the price of a cookie, p, and the number of cookies sold, x, is given by the linear relationship x = −2000 p + 4000 . Find the maximum revenue Luci can make selling cookies in one day. Find the price she should sell the cookies for to make the maximum revenue.
Answer:
The price to make maximum revenue is 1 and the maximum revenue is 2000.
Step-by-step explanation:
Consider the provided information.
Revenue is the product of the number of sales and the sales price.
Here, [tex]p[/tex] is the price of a cookie and the number of cookies sold is [tex]x =- 2000 p + 4000[/tex].
[tex]\text{Revenue}=p(-2000 p + 4000)[/tex]
[tex]\text{Revenue}=-2000 p^2 + 4000p[/tex]
The above equation is a quadratic equation and the graph of the above equation will be a downward parabola because the coefficient of [tex]p[/tex] is negative.
The vertex(axis of symmetry) of a downward parabola has the maximum point.
The axis of symmetry is [tex]x=\frac{-b}{2a}[/tex] for the quadratic equation [tex]ax^2+bx+c=0[/tex].
By compare Revenue equation with [tex]ax^2+bx+c=0[/tex], we get:
[tex]x=p, a=-2000, b=4000 \text{ and } c=0[/tex]
Now put the respective values in the formula [tex]x=\frac{-b}{2a}[/tex] .
[tex]p=\frac{-4000}{2(-2000)}[/tex]
[tex]p=1[/tex]
So revenue will be maximum for [tex]p=1[/tex].
Now put [tex]p=1[/tex] in [tex]\text{Revenue}=-2000 p^2 + 4000p[/tex]
[tex]\text{Revenue}=-2000 (1)^2 + 4000(1)[/tex]
[tex]\text{Revenue}=-2000 + 4000[/tex]
[tex]\text{Revenue}=2000[/tex]
Hence, the price to make maximum revenue is 1 and the maximum revenue is 2000.
Maximum revenue generated = $2000
Price at which the maximum revenue is generated = $1
Maximization of the revenue:
Steps to find the maximum revenue,
Find the equation for the revenue generated.Find the derivative of the expression for revenue and equate it to zero.Find the value of the variable and substitute it in the expression for the revenue generated.Given in the question,
Price of one cookie = p Linear relationship between the number of cookies sold 'x' and price of a cookie 'p',x = -2000p + 4000
Expression for the revenue generated = Price of one cookie × Number of cookies sold
R = p(-2000p + 4000)
R = -2000p² + 4000p
For the maximum revenue,
"Find the derivative of the expression for revenue and equate it to zero"
R' = -4000p + 4000 = 0
4000p = 4000
p = $1
For p = 1,
R = -2000(1) + 4000
R = $2000
Therefore, for the price of one cookie as $1, maximum revenue generated will be $2000.
Learn more about the maximization here,
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PLZ HELP U GET 10 POINTS PLZZZZZ
Write 9 as a product of primes use index notation when giving answer what's the answer
Answer:
3x3 =9
3 is a prime number, 3x3=9
Which equation represents a linear function?
x= 3
y=-3x + 10
y = 150
y = 3x2 + 1