Answer:
x= -1
Step-by-step explanation:
p= x² +4x -2 -----(1)
q= 2x -1 ------(2)
q -p= 2 -----(3)
Substitute (1) and (2) into (3):
2x -1 -(x² +4x -2)= 2
2x -1 -x² -4x +2= 2 (Expand bracket)
-x² -2x +1=2 (Simplify)
x² +2x +2 -1= 0 (Bring all terms to one side)
x² +2x +1= 0
(x +1)²= 0 (Factorise)
x +1= 0 (Square root both sides)
x= -1 (-1 on both sides)
PLEASE HELP I WILL GIVE BRAINIEST. What is the range?
Answer:
range= 8
Step-by-step explanation:
to find range> subtract highest number to the lowest
so 10- 2= 8
Nine scores have an average of 8. Scores x and x+1 are added, and these increase the average to 9. Find x
Answer:
x must be 13
Step-by-step explanation:
Represent the nine scores by a, b, c, d, e, f, g, h, i.
Write the following equation to indicate that the average of these nine scores is 8:
a+b+c+d+e+f+g+h+i
----------------------------- = 8, or a+b+c+d+e+f+g+h+i = 72 if we multiply both
9 sides of this equation by 9.
Next, we add scores x and x+ 1 to
a+b+c+d+e+f+g+h+i + x + x + 1
and divide the result by 11, as there are now 11 scores instead of just 9:
a+b+c+d+e+f+g+h+i + x + x + 1
----------------------------------------------
11
Earlier, we saw that a+b+c+d+e+f+g+h+i = 72. We can now replace
a+b+c+d+e+f+g+h+i in the above fraction by 72:
72 + 2x + 1
------------------- = 9 (as the new average is 9)
11
Multiplying both sides of this equation by 11 results in:
73 + 2x = 99, or 2x = 26.
Then x must be 13, and x + 1 must be 14.
please how do you solve 60cos25
Answer:
60cos(25)=54.378467222199
a baseball team played 32 games and lost 8 . Katy was the catcher in 5/8 of the winning games and 1/4 of the losing games. what fraction of the games did the team win? and how many games did Katy play catcher
Answer:
17
Step-by-step explanation:
what you have to is simple, first do 32-8 which get you 24, thats how many they won. Then do 8x1/4 to get 2, she played 2 games as catcher and lost, then do the same thing with the winning games. 24x5/8 should get you 15. she played 15 games as catcher and won. then do 15+2 to get 17.
hope that helps!
Answer:
1/4 - won
7/8 - katy played catcher
hope this helps you :)
simplify the algebraic expression!!
Answer:
[tex]\frac{y^{3}}{2z^{7}}[/tex]
Step-by-step explanation:
1. Move z^ − 3 to the denominator using the negative exponent rule b ^− n = 1/ b ^n
2. Multiply z ^4 by z ^3 by adding the exponents.
3. Cancel the common factor of 4 and 8
4. Cancel the common factor of x^2
Answer:
[tex]\frac{y^{3} }{2z^{7} }[/tex]
Step-by-step explanation:
A spinner has 6 numbers on it, from 1-6, all with equally spaced area. Find the probability of spinning a
Prime number, P(Prime)
Select the correct response.
1
2
5
6
2
3
1
3.
Answer:
first option 1/2
Step-by-step explanation:
2,3,5 are the prime numbers from that set
each individual number has a 1 in 6 chance of landing on it and we have 3 so...
3 of 6 possibilities would be prime numbers. Simplify to...
1 in 2
You spin the spinner shown below once
The spinner has 4 equal sectors colored pink, purple, blue, and green
What is the probability of landing on Blue?
Answer:
1/4
Step-by-step explanation:
there are 4 colors meaning each one has a 1/4 chance
Order the numbers from least to greatest.
LEAST
1
8
= 0.13
= 0.12222...
12.7%
Please help!!!!! I’ll mark you as brainliest!!!!!!
Answer:
The answer is 7440
Answer:
$7740
Step-by-step explanation:
60,000×12,4%=$7740
plz help I am being timed
Answer:
24
Step-by-step explanation:
What is the volume of the following rectangular prism?
The sum of two numbers is 54 and the difference is 8. What are the numbers?
Answer:
23 and 31 are the numbers you are searching for.
Step-by-step explanation:
23 + 31 = 54
31 - 23 = 8
Have a nice day!
Find all of the missing angles, #1-22. pleasssseeee helpppppp
I need help with my homework
Answer:
The answers are B, D, and E.
Can someone please answer this ASAP
Answer:
2x^2+3x^4+1
Step-by-step explanation:
a trinomial is composed by three monomials.
So only A and B can be correct
the degree of a polynomial is the same of the monomial that compose it with the biggest degree
so the answer is B because the monomial with the biggest degree is 3x^4 (its degree is 4)
Use the information to answer the following question. Ms. Huynh spent $640 to stay in a hotel for four nights. Each night she spent x dollars on the hotel room as well as a $15 parking fee per day. The equation represents the total amount, in dollars, that Ms. Huynh spent on her hotel. 4(x + 15) = 640 How much money did the hotel room cost for one night, excluding the parking fee? A. $163.75 B. $145.00 C. $175.00 D. $156.25
Answer:
B. $145.00
Step-by-step explanation:
4(x+15)= 640
or, 4x+60=640
or, 4x = 640-60
or, 4x = 580
or, x = 580/4
x= 145
Brenda's car averages 375 miles for each 15 gallon tank of gas. How many tanks of gas
will she use on an 1125 mile road trip?
Answer:
3
Step-by-step explanation:
We know that she uses one tank of gas every 375mi, so we can just divide.
1125 / 375 = 3
To check our work we can just multiply.
375 x 3 = 1125.
So she uses 3 tanks on the trip. I hope this helps :)
what is the inequality for more than 100,000
Answer:
>100,000
Step-by-step explanation:
Solve the following system of equations using Substitution, showing all work.
2x+y=9
3x−2y=17
Answer:
(x,y)=(5,-1)
Step-by-step explanation:
1. 2x+y=9 ---> y=9-2x
2. Substitute y=9-2x into 3x-2y=17 ---> 3x-2(9-2x)=17 ---> 3x-18+4x=17 --> 7x=35 ---> x=5.
3. Substitute x=5 into 2x+y=9 ---> 2*5+y=9 ---> y=9-10 ---> y= -1
A watering can contained 5 ½ quarts water. After all the plants were watered, only 4 cups remained.
How many cups of water were used to water the plants?
7 cups
18 cups
40 cups
84 cups
Answer: 18 cups
Step-by-step explanation:
Answer:
the answer is 18 cups :))
What is 0.00047 in standard form.
Step-by-step explanation:
0.00047. = 47÷10 000
=4.7×10/10^-5
= 4.7×10^-4
Find the missing height of the solid figure
9514 1404 393
Answer:
5 in
Step-by-step explanation:
The figure's angles are presumed to be right angles everywhere, so the left-side vertical dimension is equal to the right-side vertical dimension.
The right side is marked as 15 inches.
The left side has two vertical segments, one of which is 10 inches. Since the total left-side height must be the same as the right-side height, we have ...
10 in + ? = 15 in
? = 5 in . . . . . . subtract 10 in
The missing height is 5 inches.
What is the dominan and range of the relation below? Answer using set notation.
Answer:
domain: -2 < x < 4
range: -3 < y < 1
A diver found a school of fish 85 feet below the surface of the ocean. He found coral 95 feet deeper than the fish. How many feet deep from the surface was the coral?
Answer:
180 feet
Step-by-step explanation:
85+95=180 because depth + depth.
The total deep 180 feet from the surface was the coral.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Given that diver found the school of fish 85 feet below the surface of the ocean. Which he found coral 95 feet deeper than the fish.
The total deep from the surface was the coral.
Therefore, it could be;
depth + depth.
85 + 95 = 180
Hence, the total deep 180 feet from the surface was the coral.
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ2
A $100 tablet is marked up by 10% and then the new price is marked down by 10%. What is the final price?
Answer:
$99
Step-by-step explanation:
So the initial price of the tablet was $100. It was marked up by 10% and then marked down by 10%. We are asked to find the final price.
To find the final price, lets first find the price after the tablet price was marked up by 10%. This means that the tablet price increased by 10%. To find the price, we can add 10% of the new original price (or 10% times $100) original price ($100):
$100 + ($100 × 0.1) = $100 + $10 = $110
We could have also multiplied $100 by 1.1 (or 1 + 10%) to find the new price.
So now we know that the new price after the tablet is marked up by 10% is $110. Now, to find the final price, we have to find the price after the new price is marked down by 10%. We can do this by taking the new price ($110) and subtracting 10% of the new price (or 10% times $110):
$110 - ($110 × 0.1) = $110 - $11 = $99
So the final price of the tablet would be $99.
I hope you find my answer to be helpful. Happy studying.
please check answer!
If a fair die is rolled twice and two numbers X1=result of the first roll and X2=result of the second roll are obtained. Given that X1+X2=7, what is the probability that X1 =4 or X2 =4
Answer:
P = 2/3 = 0.67
Step-by-step explanation:
Assuming that X1 + X2 = 7
The total number of outcomes such that X1 + X2 = 7 are:
X1 = 3, X2 = 4
X1 = 4, X2 = 3
X1 = 1, X2 = 6
X1 = 6, X2 = 1
X1 = 2, X2 = 5
X1 = 5, X2 = 2
So there are 6 total outcomes such that X1 + X2 = 7
Now, the probability that X1 = 4 is equal to the quotient between the number of outcomes where X1 = 4 (only one outcome) and the total number of outcomes (6)
Then:
p = 1/6
And the probability that X2 = 4 is calculated in the same way, then the probability is:
q = 1/6
Now, the probability that X1 = 4 or X2 = 4 is the sum of both probabilities we've found above, then:
P = p + q = 1/6 + 1/6 = 2/6 = 2/3 = 0.67
twice the sum of a number and ten
Answer:
2(x+10)
Step-by-step explanation:
Well since sum is addition and the number and 10 are the sum, let’s make the “number“ (x) and add em up. 10+x.
Now we gotta double that sum which is basically
2(10+x)
Write the equation of the line, in slope-intercept form, with the
following information:
slope: -2
y-intercept: (0, -3)
Can someone plz help me with this Math problem and plz explain how you got your answers