Answers
Answer:
x = 2, x = - 5
Step-by-step explanation:
To factor it, you can split the middle term to get:
x² - 2x + 5x - 10 = 0
Then, you can factor the first two and the last two to get:
x (x - 2) + 5(x - 2) = 0
And if you divide both sides by (x - 2) you get:
(x - 2) (x + 5) = 0
Finally, this can be solved by the Zero Product Property which states that if x*y=0, then x and/or y has to be equal to 0. If you apply it to the eqaution you get:
x - 2 = 0, x + 5 = 0
which results in:
x = 2, x = - 5
Related Questions
plsssssss answerrrrrr
Answers
Answer:
Step-by-step explanation:
Angle C and angle with 120 degrees measure are alternate and their measurement is equal so C = 120
angle C and angle B are supplementary and so their sum is equal to 180
B = 180 - 120
B = 60
angle D and angle B are also alternate so their measure is also equal to each other therefore
D = 60
.79 % of what number of horses is 29 horses
Answers
Answer: 37
Cross multiply 100x29 over 79
Directions: Write the
numerical expression
into word form. I it is in
word form, write it as a
numerical expression.
(8x2)-(3+5)
Answers
Answer:
Numerical: (8x2)-(3+5) = 8
Word form: Eight-times-two minus three-plus-five
(8 x 2) - (3 + 5)
16 - 8 = 8
Helps me!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
C and D
Step-by-step explanation:
Hope this helps :)
what is 20 as a decimal
Answers
Answer:
0.2
Step-by-step explanation:
20/100 as a decimal is 0.2.
Answer:
0.2
Step-by-step explanation:
The average of 5 consecutive whole numbers is 2021. What is the average of the first 3 of these numbers?
Answers
Answer:
2020
Step-by-step explanation:
if it is 5 consecutive numbers, it means it needs to be 2019, 2020, 2021, 2022, 2023
it is the number in the middle.
for the first 3 numbers, it is 2019, 2020, 2021
the middle number is 2020
The mean or average of the consecutive first 3 numbers such that the average of 5 consecutive whole numbers is 2021 will be 2020.
What is mean?The mean is the average of a data set. Mean gives us an idea of that how much amount of overall data have.
In other words, the mean is the foundation of the deviation of data from all data sets.
Let's say the first integer is x.
Then, next terms will be x + 1, x + 2, x + 3, x + 4.
It is known that,
Mean = sum of data / Number of data
(x + x + 1 + x + 2 + x + 3 + x + 4)/5 = 2021
(5x + 10)/5 = 2021
x + 2 = 2021
x = 2019
Now, first, three consecutive integers will be,
2019,2020 and 2021
The mean of the above integers will be,
(2019 + 2020 + 2021)/3 = 2020
Hence "The mean or average of the consecutive first 3 numbers such that the average of 5 consecutive whole numbers is 2021 will be 2020".
For more about the mean,
https://brainly.com/question/17060266
#SPJ1
tal) In a survey of 185 college students, they were asked whether they have dogs, cats,
or birds as pets:
90 have dogs,
68 have cats,
8 have birds only,
15 have both cats and dogs only,
20 have both birds and dogs,
12 have both cats and birds, and
7 students have all three animals as pets
a). Draw a Venn diagram to represent the given information.
b). How many students have cats only?
c). What proportion of the students have exactly one type of animal as pets?
Answers
9514 1404 393
Answer:
a) see attached
b) 41
c) 56.2%
Step-by-step explanation:
a) We have drawn three circles, labeled D, C, B representing students who have dogs, cats, and birds, respectively. Based on the given information we can fill numbers in for all three animals (7), cats and dogs only (15), and birds only (8).
Then we can fill in cats and birds only by subtracting the number with all three. That will be 12 -7 = 5. Birds and dogs only is similarly filled by subtracting all three to get 20 -7 = 13 birds and dogs only.
Dogs only is found by subtracting the numbers in multiple categories from the total number of dogs: 90 -13 -7 -15 = 55. Cats only is found the same way: 68 -5 -7 -15 = 41.
The completed diagram is shown in the attachment. (We haven't figured the quantity for "none.")
__
b) 41 students have cats only
__
c) The total number with dogs only, cats only, or birds only is ...
55 +41 +8 = 104
Of the 185 total students, that is 104/185 ≈ 56.2%.
56.2% of students have exactly one type of animal as a pet.
Please hurry, will mark brainliest if you answer correctly
Answers
Answer:
10
Step-by-step explanation:
according to BODMAS
6÷2=3
3+3=6
4^2=16
16-6=10
If your financial goal is to save at least $40000 in 10 years What would be the least amount of money to save each month
Answers
Answer:
$334 to the nearest dollar.
Step-by-step explanation:
If you just stuff it under the bed that would be
40000/ 120 (as there are 120 months in 10 years)
= $334.333...
Which graph does NOT represent a function?
Answers
Answer:
The circle graph does not represent a function because it doesn't pass the vertical line test.
Step-by-step explanation:
PLEASE HURRY!! (No links)
Solve the inequality
−2 (k − 5) < −2k + 2
Answers
Answer: simplify 0<-8 no solution
Step-by-step explanation:
Solve the Linear Quadratic system of equations
y=x^(2)+2x-9
y=-2x+3
Answers
9514 1404 393
Answer:
(x, y) = (-6, 15) and (2, -1)
Step-by-step explanation:
You can start by subtracting the second equation from the first.
(y) -(y) = (x^2 +2x -9) -(-2x +3)
0 = x^2 +4x -12 . . . . . . collect terms
0 = (x +6)(x -2) . . . . . . . factor
Solutions for x are -6 and +2. These values make the factors zero.
The corresponding solutions for y are ...
y = -2(-6) +3 = 15
y = -2(2) +3 = -1
Solutions to the system of equations are ...
(x, y) = (-6, 15) and (2, -1)
Subtract a4 + 4a²b2 – 2b^4 from –3a^4 + 5a²b2 + 2b^4 - Your answer should be a polynomial in standard form.
Answers
Answer:
4a^4-4b^4-5a^2b^2
Step-by-step explanation:
find common variables and subtract/add
a^4+3a^4=4a^4
-2b^4-2b^4=-4b^4
0-5a^2b^2=-5a^2b^2
apply
4a^4-4b^4-5a^2b^2
can anyone help me with this asap. thank you in advance.
Answers
use the perimeter formula
P=2l+2w
P=2(3x+2)+2(x+4)
P=6x+4+2x+8
P=8x+12
Find the coordinates of the vertex of the following parabola using graphing technology. Write your answer as an (x, y) point.
y= -x^2-10x-22
Answers
Answer:
vertex: (-5, 3)
Step-by-step explanation:
Besides providing the graph of the given quadratic equation, I will also demonstrate the algebraic method of solving for the vertex of a parabola.
Method 1: Algebraic SolutionGiven the quadratic equation, y = -x² - 10x - 22, where:
a = -1, b = -10, and c = -22.
Find the x-coordinate of the vertex:In order to find the vertex of the given equation, use the following formula to find the x-coordinate of the vertex: [tex]x = \frac{-b}{2a}[/tex].
[tex]x = \frac{-b}{2a}[/tex]
[tex]x = \frac{-(-10)}{2(-1)}[/tex]
[tex]x = \frac{10}{-2}[/tex]
x = -5
The x-coordinate of the vertex is: x = 5.
Find the y-coordinate of the vertex:Next, substitute the value of the x-coordinate into the given quadratic equation to find its corresponding y-coordinate:
y = -x² - 10x - 22
y = -(-5)² - 10(-5) - 22
y = -25 + 50 - 22
y = 3
Therefore, the vertex of the given parabola is: (-5, 3), where it is the maximum point.
One of the attachments is the screenshot of the graphed quadratic equation (using Desmos), where it shows the vertex as the maximum point.
Method 2: Graphing CalculatorIf you have a graphing calculator (such as the Texas Instruments graphing calculator):
Press Y=Then, simply enter the given quadratic equation, -x² - 10x - 22.Next, press 2ND ⇒ Quit. Press the GRAPH button. Press 2ND ⇒ TRACE Select option 4: maximumIt will ask for the "Left Bound?": move the cursor as close to the maximum point as possiblePress ENTER. Next, it will ask for the "RightBound?" Repeat the same process as in step #7. Press ENTER.It will ask for "Guess?" ⇒ press ENTER, and it will provide the same coordinates for the vertex, (-5, 3).Please let me know if you have any questions or concerns regarding this post.
Using subsitution, which value of x makes this equation true? 7x = 10
Answers
Divide both sides of the equation by 7
(An expression divided by itself is 1)
Then Write the division as a fraction
10/7
Life Pre-intermediate - Unit 3
MULTIPLE CHOICES: Choose the correct option (a-c).
1. It's not far to the town centre and it's quicker if you go ____ foot.
A. on B. by C. with
2. We are moving our furniture ____ lorry.
A. by B. with C. on
3. Which ____ does the train to Norwich leave from?
A. platform B. gate C. stop
4. For the History museum ____ the bus at the next stop.
A. drop off B. get off C. check in
5. I can't park at the bus station but I can ____ outside when you arrive.
A. get you off B. drop you off C. pick you up
6. The bus ____ is more expensive now than it was the last time I was here.
A. price B. fare C. cost
7. Excuse me, does the ticket machine give ____?
A. price B. fare C. change
8. There is a taxi ____ right outside the train station.
A. station B. stop C. rank
9. What time do you want me to pick you ____ from the station?
A. by B. off C. up
10. We have to ____ at the airport two hours before the plane leaves.
A. check in B. get on C. book
Answers
Answer:
1.A
2.B
3.C
4.B
5.B
6.B
7.C
8.C
9.C
10.A
It's not far to the town centre and it's quicker if you go on foot. We are moving our furniture with lorry. Which stop does the train to Norwich leave from? For the History museum get off the bus at the next stop. I can't park at the bus station but I can drop you off outside when you arrive.
What is a History museum?Museums and galleries generally provide insight into human history. The lessons we may learn from historical occurrences, wonders, and tragedies are inestimably important, even though no museum claims to provide a complete picture. This is especially true when things are tumultuous.
In the interest of society, a museum investigates, gathers, conserves, interprets, and presents both tangible and intangible history. Through accessibility, inclusivity, and public accessibility, museums promote diversity and sustainability.
Thus, The bus fare is more expensive now than it was the last time I was here. Excuse me, does the ticket machine give change? Excuse me, does the ticket machine give change? There is a taxi rank right outside the train station. What time do you want me to pick you up from the station? We have to check in at the airport two hours before the plane leaves.
For more information about History museum, click here:
https://brainly.com/question/15265945
#SPJ6
can someone PLEASE construct these 2 for me!
Answers
Solve the following system of equations graphically and check
3x - y = 3
Y=2x-7
Answers
Answer:
x = -4 and y = -15
Hope This Helps!!!
picture of complex number system.....
Answers
Answer:
is this ok 4 uh?
hope it helps
Team A beat Team B by 15 points in a football game . If a total of 35 points were scored , what was the final score of the game ?
For team A and team B
I WILL MARK YOU A BRAINLIEST
Answers
Answer:
25-10 (25 - A and 10 - B)
Step-by-step explanation:
25 - 10 equals the 15 point margin
25 plus 10 equals the 35 point score combined
Hope it helps
Can someone please help me figure out the answer to the question in the picture?
Answers
g=12-1/25(100)
g=12-4
g=8, d=100
d=200:
g =12-1/25(200)
g=12-8
g=4, d=200
d=300:
g =12-1/25(300)
g=12- 12
g=0, d=300
22-2x when x = to -5
Answers
Answer:
5
Step-by-step explanation:
22-2x ... (equation-1)
(x=-5)
Substituting the value of x in equation 1
22-2(x-5)
20(x-5)
20x-100
20x=100
x=100/20
x=5
Hope it helps
I need help asap!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
1/2 yd 5/3 yds The first one
Step-by-step explanation:
Find the amount of sales tax for a board game that costs $25.00 at a 7% tax rate
A.$1.75
B.$2.00
C.$2.50
D.$5.00
Answers
To find the tax we have to multiply the percent by the cost.
Remember that in order to do this we need to convert the 7% into a decimal, which means we need to divide it by 100.
7 / 100 = .07
Now lets multiply:
25 * .07 = 1.75
This means that our sales tax is A) $1.75.
I hope this helps! :)
SIMPLIFIED POLYNOMIALS. Combine all the similar terms of each polynomial
1. 4x + 2x - 3x
2. 10xy + 4y - 8xy + 9y
3. 6x2 + y - 8x2 + 2 + 3y
4. 14a3 - a2 + 3a2 - 16a3 + a2
5. -5pq2 + 3pq2 - p2q + pq2 - 7p2q
Answers
Answer:
1. 3x
2. 2xy+13y
3. -2x^2+4y+2
4. -2a^3+3a^2
5. -2pq^2-7p^2q
An adult elephant eats about 300 pounds of food each day. Write an
expression to represent the number of pounds of food a herd of
12 elephants eat in/5 days.
Answers
Answer:
18000
Step-by-step explanation:
you multiply 12 by 300 which is 3600 then you would multiply by 5 and its 18000.
expand and simplify
(y – 2) (+1) (y+3)
Answers
Answer:
y² + y - 6
Step-by-step explanation:
(y - 2)(+ 1)(y + 3) simplifies to
(y - 2)(y + 3)
Each term in the second factor is multiplied by each term in the first factor, that is
y(y + 3) - 2(y + 3) ← distribute parenthesis
= y² + 3y - 2y - 6 ← collect like terms
= y² + y - 6
Please help if you can I'll even give you a brainiest answer.
Answers
How I god the answer- to find the outline, add 2+2+16+17+17= 54. Then take the 54 and divide by 8= 6.75. Then multiply 6.75x1.50= $10.12
The ratio of the measures of the sides of a triangle is
9:10:4. If the perimeter of the triangle is 276 inches, find
the length of the shortest side.
X =
=
Length of shortest side =
Answers
Answer:
X = 48 inches for the shortest side
Step-by-step explanation:
9s = first side
10s = second side
4s = third side
Perimeter = sum of the sides
276 = 9s + 10s + 4s
276 = 23s
276/23 = s
12 = s
9s = first side; 9(12) = 108
10s = second side; 10(12) = 120
4s = third side; 4(12) = 48