Answer:
see explanation
Step-by-step explanation:
(a)
x² + 2x + 1 = 2x² - 2 ( subtract x² + 2x + 1 from both sides
0 = x² - 2x - 3 ← in standard form
0 = (x - 3)(x + 1) ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x - 3 = 0 ⇒ x = 3
-----------------------------------
(b)
[tex]\frac{x+2}{3}[/tex] - [tex]\frac{2}{15}[/tex] = [tex]\frac{x-2}{5}[/tex] ( multiply through by 15 to clear the fractions )
5(x + 2) - 2 = 3(x - 2) ← distribute parenthesis on both sides
5x + 10 - 2 = 3x - 6
5x + 8 = 3x - 6 ( subtract 3x from both sides )
2x + 8 = - 6 ( subtract 8 from both sides )
2x = - 14 ( divide both sides by 2 )
x = - 7
--------------------------------------------
(c) Assuming lg means log then using the rules of logarithms
log [tex]x^{n}[/tex] ⇔ nlogx
log x = log y ⇒ x = y
Given
log(2x + 3) = 2logx
log(2x + 3) = log x² , so
x² = 2x + 3 ( subtract 2x + 3 from both sides )
x² - 2x - 3 = 0
(x - 3)(x + 1) = 0
x = 3 , x = - 1
x > 0 then x = 3
What time does the clock show?
Please help I didn’t get to learn this.
Answer:
The clock shows 8:18
Step-by-step explanation:
Answer:
8:18
Step-by-step explanation:
Oscar has $30 from his allowance. There is a video game he wants to buy that costs $17.99, a chocolate bar that costs $0.79 and a remote control car that costs $8.99.
Answer:
[tex]Balance = \$2.23[/tex]
Step-by-step explanation:
Given
[tex]Allowance = \$30[/tex]
[tex]Video\ Game = \$17.99[/tex]
[tex]Chocolate\ Bar = \$0.79[/tex]
[tex]Remote\ Car = \$8.99[/tex]
Required [Missing from the question]
What is his balance after purchasing the items
First, calculate total cost of items
[tex]Total =Video\ Game + Chocolate\ Bar + Remote\ Car[/tex]
[tex]Total = \$17.99 + \$0.79 + \$8.99[/tex]
[tex]Total = \$27.77[/tex]
The balance is then calculated as:
[tex]Balance = Allowance - Total[/tex]
[tex]Balance = \$30 - \$27.77[/tex]
[tex]Balance = \$2.23[/tex]
What is the mean number of points scored by these players?
Find the area. The figure is not drawn to scale.
a
1440 in.2
b
1188 in.2
c
138 in.2
d
69 in.2
Answer:
A
Step-by-step explanation:
40 x 36 = 1440 in.2
plz help as fast as possible for 50 points!
Answer:
(2x-7)^2
Step-by-step explanation:
you need to find two numbers that add up to -28, but multiply to 196, so -14, then spread out your equation and sub in -14, then divide out common factors, and then you have your answer
if you have any questions, leave them in the comments, i will try to answer them, if this helped, pls give brainliest
Answer:
[tex]g(x)=4x^2-28x+49[/tex]
[tex]=4(x^2-7x)+49[/tex]
[tex]=4(x^2-7x+(7/2)^2-(7/2)^2)+49[/tex]
[tex]=4(x-7/2)^2+4(-(7/2)^2)+49[/tex]
[tex]=4(x-7/2)^2+4(-49/4)+49[/tex]
[tex]=4(x-7/2)^2+0[/tex]
[tex]4(x-7/2)^2+0[/tex]
-------------------------------
so,
[tex]g(x)=4(x-7/2)^2+0[/tex]
----------------------------
hope it helps....
have a great day!!
Arelli is 12 5 6 years old. Carl is 1 1 3 years younger than Arelli and Jane is 1 1 4 years younger than Carl. How old is Jane?
Answer:
10 1/4
Step-by-step explanation:
Carls age = 12 5/6 - 1 1/3
12 5/6 - 1 1/3
11 (5 - 2) / 6 = 11 3/6
Jane's age = carl's age - 1 1/4
11 3/6 - 1 1/4
10 (12 - 6) / 24 = 10 6/24 = 10 1/4
Tennessee Valley Authority
Answer:
What?
Step-by-step explanation:
How tall is the tree? Round to the nearest foot.. please help me
Answer:
C
Step-by-step explanation:
tan x = opp./adj.
tan 30° = t/20 so t = 20* tan 30° = 11.547≈12
T = t+5 = 12+5 =17 the closest one I see is C.16
A triangle has a base that is 4cm longer than its height.
a. Write a polynomial that represents the area of the triangle.
b. Find the area when the height is 8cm
Answer:
a) A =( x^2 -4x)/2
b) 16 cm^2
Step-by-step explanation:
Let the base of the triangle be x cm
since it is longer, then the height would be (x-4) cm
Mathematically, the area of a triangle is the product of the base and the height divided by 2
So, we have this as;
A = 1/2(x-4)x
A = x(x-4)/2
A = (x^2 - 4x)/2
A =( x^2 -4x)/2
To find the area, we only need to substitute 8 cm for x
we have this as;
A = (8^2 -4(8))/2
A = (64-32)/2 = 32/2 = 16 cm^2
We will begin by converting the word problem to relatable mathematical expression in the first part, in the second part, we will substitute for x and find the area which is 48cm^2
Given data
Let the height be x cm
and let the base be y cm
Going by the word problem statement "base that is 4cm longer than its height."
y = x+4
a. the polynomial expression for the area of the triangle is
We know that the area of triangle is given as
Area = 1/2*Base*Height
Area = 1/2*(x+4)*x
Area = 1/2*x^2+4x
Simplify
Area = x^2/2 + 2x
b. The Area when the height is 8cm
We will substitute x= 8cm
Area = (8)^2/2 + 2(8)
Area = 64/2 + 16
Area = 32+16
Area = 48 cm^2
Learn more about Triangle here:
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PLEASE ANSWERRRRRRRRRRRRRRRRRRRRRRRRRRR
Answer:
d. 30
A = a+b /2 h
A = 6+9/2 × 4
A = 30
Answer:
D, but I am not too sure.
Good luck
Help will give Brainlyest if right
Answer:
-4 , 0 would be the answer your looking for I believe
Can y’all help me with this
Step-by-step explanation:
Try this process when you see a right triangle
Which of the following functions is in vertex form?
Answer:
Y = a(x-h)^2 +k
Step-by-step explanation:
The first one, since the vertex form is in subtraction form. You need the a, the x, the h, and the k for the formula.
Answer:
y=a(x-h)^2+k
Step-by-step explanation:
This is the answer because numbers in the -h and k is the vertex point in this form.
e.g. y=2(x-4)^2+5
the vertex here is (4,5)
(btw, for h, when there's a negative sign in front of it, it's the opposite and when there's a plus sign in front of h, it's the opposite.)
Who’s able to Answer?
Answer:
#3; Domain stays the same, but the range changes.
Step-by-step explanation:
All of the x values, stay the same, but because of the reflection the y-values change due to everything becoming greater than 2 rather than less than 2.
Answer:
C) The domain stays the same, but the range changes.
✿---✿--❀---❀---✿---✿
hope it helps...
have a great day!!
Which sequences are converging? Check all that apply.
an
n4
10n3
n2-2n
an
2n2
an
=
25 - 4n3
2n2-n.
n2 +5n+6
an
n +3
m2-n +6
n3 – 3n²
Answer:
B & E
Step-by-step explanation:
Edge trust me
The owners of a smoothie shop want the price of each size smoothie to be proportional to the amount of liquid it contains. A small smoothie will be 16 fluid ounces and sell for $3.52
Answer:
?
Step-by-step explanation:
Whats the question?
The proportionality constant if, A small smoothie will be 16 fluid ounces and sell for $3.52 is 22.
What is proportionality?When the corresponding elements of two numerical sequences, frequently experimental data, have a fixed ratio, this is referred to as the coefficient of proportionality, and the two sequences are said to be proportional or directly proportional.
Given:
A small smoothie will be 16 fluid ounces and sell for $3.52,
Convert the price of the smoothie in cents as shown below,
The price of a smoothie = 3.52 × 100 ($1 = 100 cents)
The price of a smoothie = 352 cents
Calculate the proportionality constant as shown below,
The proportional constant = Fluid / price
The proportional constant = 352 / 16
The proportional constant = 22
Thus, The proportional constant is 22.
To know more about proportionality:
https://brainly.com/question/8598338
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The complete question is: The owners of a smoothie shop want the price of each size smoothie to be proportional to the amount of liquid it contains. A small smoothie will be 16 fluid ounces and sell for $3.52. Find the proportionality constant.
Angle LMN and angle NMR are supplementary angles. What is the value of x in the diagram below?
Answer:
x=48
Step-by-step explanation:
Supplementary means to add to 180.
Your equation is 36+3x=180
180-36=144
3x=144
144 divided by 3x= 48
x=48
find the distance between each pair of points. Round your answer to the nearest 10th if necessary
Answer:
5.4
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√[-2 - (-7)]² + (7 - 5)²
√(5)² + (2)²
√25 + 4
√29
= 5.4
RESTAURANT MANAGEMENT
BUSINE
HIGH SCHO
pod by Knowledge Man
Purchasing Math Quiz
QUESTION 1 of 10: The value of inventory for your Restaurant has grown from $635,000 to $742,550. What percentage did it grow by?
a) 12%
b) 1796
c) 2096
O d) 33%
ОООО
Submit
©2021 Knowledge Matter:
Answer:
33%
Step-by-step explanation:
Answer:
17%
Step-by-step explanation:
GOT IT RIGHT
Which is the graph of y^2/16-x^2-9=1
Answer:
A
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
b) Calculate the area of the red triangle to find the area of the garden. Show your work
Answer:
Solution given:
the area of the red triangle =½(a×b)unit²
So area
1/2BH1/2(side a)(side b)what value of x makes this equation -5/2x + 1 = x + 3 true
Answer:
x = -4/7
Step-by-step explanation:
-5/2x + 1 = x + 3
-7/2x = 2
(-2/7)-7/2x = 2(-2/7)
x = -4/7
pls help plsss and tyy i need helppp!!!
Answer:
B
Step-by-step explanation:
area for triangle
9x3=27
27/2= 13.5
area for trapezoid
6+9= 15
15(6)= 90
90/2=45
45+13.5= 58.5 ft²
whats the length of the third side? round to the nearest tenth if u need to
Find the perimeter and Area of the rectangle
Answer:
p is 5 by 7 the a is 3 by 6
Step-by-step explanation:
Helppp please
Find the area of the following figures. Dimensions are In centimeters
Answer: the area should be 384cm
Step-by-step explanation:
What fraction is equivalent to -2 4/9?
Answer:
-22/9
Explanation:
Just turn -2 4/9 into an improper fraction. 2 x 9 = 18 and 18 + 4 = 22.
22/9, and just add the negative sign to make it -22/9.
Help plsss hehshshisieieirirj for brainly pls
Answer:
4 yards
Step-by-step explanation:
11 1/2 feet is equal to 3.833333 and 4 yards is more than that.
Answer:
11 1/2 ft. < 4 yd
Step-by-step explanation:
I'm not sure if thats what your asking.
But 1 yard is 3 ft, so 4 yards is equal to 12 ft. Therfore 11 1/2 ft. < 4 yd.
could someone please answer #35 for me
Answer:
408
Step-by-step explanation:
Volume = length times width times height
So in this situation we can see that 17 is the length, 8 is the width, and 6 is the height
Knowing this information we can continue
If you think of a regular cube, you can split it diagonally and then it would be 2 triangles
So we can split the width, in halve which would be 4 and then apply the formula 4*6*17 and when you solve that you get 408 Now we have to split that in halve because remember it is a triangle and a triangle is halve of a square. Halve of 408 is 204.
If we repeat that prosses for the other side we will also get 204. Now we add 204+204 to get our answer 408.
Sorry is this was a little confusing but that's the best I can explain it.
Hope that helped and have a great day!
Step-by-step explanation:
a person's heart beats approximately 10^5 times each day. a person lives approximately 81 years. Work out an estimate for the number of times a person's heart beats in their lifetime
Answer:
29565x(10^5)
Step-by-step explanation:
heartbeat in 1 day=10^5.
we have 365 days in a year. it means that;
365x(10^5)=365x(10^5). this is heartbeat for 1 year.
then for 81 years,we multiply the value of 1 year heartbeat by 81.
=29565x(10^5).