Answer:2+ 3/5x
Step-by-step explanation:
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
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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].
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
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.
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
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
Please help, I'll give you 20 points
Answer: y=1/2x+-4
(You cant give a certain number of points btw)
plssss answer due very soon
Answer:
Step-by-step explanation:
Answer:
2nd option
Step-by-step explanation:
[tex]4\frac{1}{3} *\frac{3}{5} =\frac{13}{3} *\frac{3}{5} =\frac{13}{5} =2\frac{3}{5}[/tex]
Hiii I’m new I need help
On this question pls thank you
Answer:
answer 2
Step-by-step explanation:
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
Express in the form n : 1.
Give n as a decimal.
6:4
Answer:
[tex]Ratio = 1.5 : 1[/tex]
Step-by-step explanation:
Given
[tex]Ratio = 6 : 4[/tex]
Required
Express as [tex]n : 1[/tex]
[tex]Ratio = 6 : 4[/tex]
Divide ratio by 4
[tex]Ratio = 6/4 : 4/4[/tex]
[tex]Ratio = 6/4 : 1[/tex]
Express 6/4 as 1.5
[tex]Ratio = 1.5 : 1[/tex]
Hence, the equivalent of [tex]6:4[/tex] is [tex]1.5 : 1[/tex]
find the value of x. round your answer to the nearest tenth.
Solve for x, using the exterior angle theorem.
Answer:
x=121 degrees
Step-by-step explanation:
The extetior angle theorem states that one exterior angle is equivalent to the sum of the opposite two interior angles. So, we can say that x is the sum of the opposite two interior angles, (53 and 68), and 53+68=121.
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
Which equation represents a linear function?
x= 3
y=-3x + 10
y = 150
y = 3x2 + 1
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
What is the length of line segment PQ shown below?
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%
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 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.
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!
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
At Yankee Candle, four large candles and three small candles sell for $34. For
two large candles and one small candle, the cost is $16. Choose a system of
equations to find the cost of large and small candles.
Answer:
the answer is D
Step-by-step explanation:
{4x+3y=34
{2x+y=16
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The system of equations to find the cost of large and small candles are,
4x + 3y = 34
2x + y = 16
Option D is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example: 2x + 4 - 8 is an equation.
We have,
At Yankee Candle, four large candles and three small candles sell for $34. For two large candles and one small candle, the cost is $16.
Large candles = x
Small candles = y
Now,
4x + 3y = 34
2x + y = 16
Thus,
The system of equations to find the cost of large and small candles are,
4x + 3y = 34
2x + y = 16
Option D is the correct answer.
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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.
how many 3/5 are in 9/10s
Answer:
There are about 1.5 3/5s in 9/10.
Step-by-step explanation:
3/5 = 0.6
9/10 = 0.9
0.9 / 0.6 = 1.5
Answer:
1.5
Step-by-step explanation:
If you use a calculator and divide 9/10 by 3/5 then you will simply get 1.5 you wont need to simplify the fractions to decimals.
9/10 ÷ 3/5 = 3/2=1.5
There are Thewre are 3/2 or 1.5 3/5 in 9/10
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
What is the value of a?
Answer:
9
Step-by-step explanation:
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
Please helpppppp !!!!!!!!!!!!!! Will mark Brianliest correct answer !!!!!!!!
Answer:
21
Step-by-step explanation:
a^2 + b^2 = c^2
20^2 + b^2 = 29^2
400 + b^2 = 841
b^2 = 441
21 = b
What is the solution to the following system of equations?
y = -x - 3 y = 1/2x
Answer:
3?
Step-by-step explanation: