Answers
Answer:
Find the solutions below
Step-by-step explanation:
Given the equation
y = -x^2 + 2x + 7
y = -2x+2
Equating both expressions
-x^2 + 2x + 7 = -2x + 2
-x^2 + 2x + 7 + 2x - 2 = 0
-x^2 + 4x + 5 = 0
Multiply through by -1
x^2 - 4x - 5 = 0
Factorize
x^2 - 5x + x - 5 = 0
x(x-5)+1(x-5) = 0
(x+1)(x-5) = 0
x+1 = 0 and x - 5 = 0
x = -1 and 5
when x = -1
y = -2x+2
y = -2(-1)+2
y = 2+2
y = 4
when x = 5
y = -2(5)+2
y = -10+2
y = -8
Hence the solutions are (-1, 4) and (5, -8)
b) y = x^2-3x-27
y = x - 6
Equating both expressions
x^2-3x-27 = x - 6
x^2-3x-27 - x + 6 = 0
x^2-4x-21 = 0
x^2 - 7x + 3x - 21 = 0
x(x-7)+3(x-7) = 0
(x+3)(x-7) = 0
x = -3 and 7
when x = -3
y = -3-6
y = -9
when x = 7
y = 7 - 6
y = 1
Hence the required solutions are (-3, -9) and (7, 1)
Related Questions
Please help!! I'll give brianlist!!! which points are reflections of each other across both access?
Answers
Answer:
(5,-6) and (-5,-6) is the correct answer
Step-by-step explanation:
Eliminate incorrect answers
(-2,8)and (2,-8) are in the opposite direction not mirroring each other
(-7,-1) and (-7,1) are on the same x axis but to close to the y axis not mirroring
(4,-3) and (-3,4) is completely off and not mirroring
* Remember the first number in the parentheses moved on the x axis then the y
Hope this helps =)
plz mark Brainly
someone please help!!!
Answers
Answer:
A = x² + 11x + 30
Step-by-step explanation:
For a given rectangle
Length (l) = x + 5
Breadth (b) = x + 6
Now,
Area of rectangle
A = l × b
= (x + 5) × (x + 6)
= x² + 6x + 5x + 30
A = x² + 11x + 30
Thus, The area of rectangle in the form of polynomial is
x² + 11x + 30
-TheUnknownScientist
Savannah had 400 chocolate chips. She saved x chips for a garnish, and mixed the rest of the chocolate chips evenly into 3 pans of brownies.
How many chocolate chips were in each pan of brownies?
Answers
Answer:
( 400-x)/3
Step-by-step explanation:
Total chocolate chips Savannah had = 400
Number of chocolate chips she saved for garnishing =x
Number of chocolate chips remain = 400-x
Number of brownie pans = 3
Chocolate chips were spread evenly in 3 pans,
Chocolate chips were in each pan of brownies =( 400-x)/3
Can someone please help me on this problem?
Answers
Answer:
$5820.10
Step-by-step explanation:
formula: [tex]117\sqrt[3]{n^{2} }+1264[/tex]
n = 243
[tex]117\sqrt[3]{243^{2} }+1264[/tex] = 117(38.941)+ 1264
= 4556.097 + 1264
= 5820.10
12. AABC is a right triangle. If AB = 3 and AC = 7, find BC. Leave your answer in simplest radical form.
A 2 square root 3
B 4 square root 3
C square root 58
D 2 square root 13
Answers
Answer:
b
Step-by-step explanation:
You multiply from left to right
what makes 135 in the 9 times table
Answers
Answer:
The answer is 15
Step-by-step explanation:
135÷9=15
Answer:
9x15
Step-by-step explanation:
A school offered its students an optional field trip. If 15 or fewer students went on the field trip, the charge for each student would be $11.50. If more than 15 students chose to go on the field trip, the charge for each student would be $10.25. 18 students opted to go on the tour, but each pre-paid $11,50. The students agreed to put the extra amount toward dinner on the trip. How much total money will be put toward dinner on the trip?
Answers
Can someone help with this
Answers
Vertical angles meet at a point of intersection and are equal. The value of x from the shown figure is 9
Vertical anglesVertical angles meet at a point of intersection and are equal.
From the figure given, the angles are vertical angles. Hence;
7x + 3 = 10x - 24
Collect like terms
7x - 10x = -24- 3
-3x = -27
x = 9
Hence the value of x from the shown figure is 9
Learn more on vertical angles here: https://brainly.com/question/14362353
#SPJ1
Here are the diameters of four coins. A dime rolls 41.8 cm. How many rotations did it make?
Will give brainliest,
Answers
Answer:
i believe the answer is 10.5
Step-by-step explanation:
dime = 3.14 (1.8) =5.62 cm
Since the coin rolled about 10.5 cm in 4 rotations, it means that the circumference of the coin (x) multiplied by 5 is equal to the distance rolled.
4x=41.8
x =41.8/4 =10.5cm
good luck :)
i hope this helps
**please let me know if this is incorrect**
have a nice day!
Miguel is buying carpeting for his bedroom. The dimensions of his bedroom are 12 ⅓ inches wide and
9 ¼ inches long. How many square feet of carpeting does Miguel need to cover his bedroom floor?
Answers
Answer:
Miguel needs 1,369/9 square inch of carpeting
Step-by-step explanation:
Here, we want to know the size of carpeting needed to cover the floor
What we have to do here is to find the area of the bedroom floor
Mathematically, we have this as the product of the dimensions of the floor;
This will give;
12 1/3 inches * 9 1/4 inches
= 37/3 * 37/3 = 1,369/9 square inches
please help me with maths. it's a standard form topic
The diameter of a bacteria species A is 1 micrometre long while bacteria B is 1 x 10^-3 the size of bacteria species A.
a) What is the diameter of bacteria species B in metres?
b) Based on your answer in (a), is the value obtained less than, greater than or equal to 1 nanometre?
Answers
Answer:
Bacteria A has diameter size of 1 micrometer = 1 × 10⁻⁶ m
a) B is 1× 10⁻³ size of A:
1 × 10⁻⁶ * 1 × 10⁻³ = 1 × 10⁻⁹ mb) 1 nanometer = 1 × 10⁻⁹ m
And bacteria B diameter size is equal to 1 nanometerAbigail wants to ride her bicycle 37 miles this week. She has already ridden 17 miles.
If she rides for 5 more days, what is the average number of miles she would have to
ride each day to meet her goal?
Answers
Answer:
20 (i think)
Step-by-step explanation:
subtraction
Any help, please!
I dont understand
Answers
Help me please, I've been stuck for a hot minute
Answers
Answer:
b. 5z-10 = 5(z-2) c. c-2c^2= c(1-2c) d. r+r+r+r= r(1+1+1+1)= 4r e. 2x-(1/2) = (1/2)(4x-1)
Explanation:
you just need to find a common factor that you can divide out of each term. ex. with the 5z-10 both 5z and 10 are divisible by 5, so you can factor that out. to check the answers just multiply it. if you still don't get it, look up "factoring binomials"
What is the volume of the rectangular prism?
Answers
6x5x7=210
The Volume of the rectangular prism is 210cm
Pic from the problem
Answers
Answer:
53.2
Step-by-step explanation:
Im sorry if im wrong
Change 7.25 a.m. to 24 hour clock time.
Use a colon : to separate hours and minutes.
Answers
Answer:
the answer is: 07:25 a.m.
Sunday at noon, the temperature was 5 degrees below zero. Wednesday at noon, the temperature was 7 degrees above zero. Which inequality compares the two integers for this situation correctly?
Answers
Answer:
- 5° < 0 < 7°
Step-by-step explanation:
Given that:
Sunday at noon :
Temperature = 5° below Zero
Wednesday at noon
Temperature = 7° above Zero
Temperature on Sunday noon < 0 < temperature on Wednesday noon
- 5° < 0 < 7°
The following data points represent the number of chicken nuggets on each family member's plate.
1,3,0, 6, ?
If the mean of the data set is 3 chicken nuggets, find the missing number of chicken nuggets.
nuggets
Answers
Answer:
The missing number of chicken nuggets is 5.
Step-by-step explanation:
To find the mean of this data set, we must add every number together, then divide the sum by how many numbers are present.
Like this,
1 + 3 + 0 + 6 = 10
10 / 4 = 2.5
There are 4 present numbers in this data set, and one is missing.
Since the only number divided by 5 that would give you a quotient of 3 is 15, the missing number is 5.
Because,
1 + 3 + 0 + 6 + 5 = 15
15 / 5 = 3
Therefore, 5 is the missing number of the data set.
can someone help me understand this question better
Answers
Answer:
do you mind zooming in more
Step-by-step explanation:
Find all the zeroes of the polynomial x^4 − 3x^3 + 6x − 4 , if two of its zeroes are √2 and −√2 . Thanks
Answers
Answer:
x=1 and x=2
Step-by-step explanation:
FIrst, continiuously apply syntheic divison to break it down into a quadratic.
Then, factor that quadratic.
Your zeores would be 1 and 2
I’m very bad at slope sorry guysss!!!!!
Answers
Answer:
-4/3
Step-by-step explanation:
Dot goes down 4 (negative) and then 3 to the right (positive)
rise over run ---> -4/3!
Answer:
omg.. what is this.. I'm sorry I can't help u :)
Need help with a word problem! Tysm for your assistance :)
Answers
Answer:
C
Step-by-step explanation:
Answer:
option c
hope helps you
have a nice day
You have 3 dogs and they are playful. You decide that dogs are playful.
What type of reasoning is this?
•inductive
•deductive
Answers
Answer:
inductive
Step-by-step explanation:
Which quadratic expression is written in standard form?
a. (x + 3)
b. (x + 4)2
c. -X2 - 5x + 7
d. x2 + 2(x + 3)
Answers
Answer:
C.
Step-by-step explanation:
-x^2 - 5x + 7.
How do I find the area of this?
Answers
Answer:
Area of the given right triangle = 24 square units.
Step-by-step explanation:
Given triangle in the picture is a right triangle.
Area of a right triangle is given by,
Area = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
Height of the given triangle = 8 unit
Base of the given triangle = 6 unit
Area of the triangle = [tex]\frac{1}{2}(6)(8)[/tex]
= 24 square units
Therefore, area of the given right triangle is 24 square units.
these are all of the OC's i have made so fare what do you guys think
Answers
Answer:
Step-by-step explanation:
nice i like them
PLEASE HELP IM STRESSED I CANT THANK YOU :)
Answers
Answer:
125
Step-by-step explanation:
In ΔPTO we are given that
∠PTO = 90° (indicated by the right angle)
and ∠TPO = 35°
And we need to find the exterior angle (∠TOB)
If you didn't know this is the rule about exterior angles
Exterior angles of a triangle are equal to the sum of the opposite interior angles of a triangle
So more specifically for this problem
∠TOB = ∠PTO + ∠TPO
Now that we have created an equation we want to plug in the values that we are given
∠TOB = 90 + 35
90 + 35 = 125
Therefore the answer is 125
X 52° Find the unknown angle measure
Answers
Answer:
38 degrees
Step-by-step explanation:
The question is How long did it take each time 18 liters of water were drained?
Plz help me and if you don’t know the answer plz don’t comment thank you
