Answer:
y = - 6, y = 4
Step-by-step explanation:
Given
2y² + 4y - 48 = 0 ( divide through by 2 )
y² + 2y - 24 = 0
Consider the factors of the constant term (- 24) which sum to give the coefficient of the y- term (+ 2)
The factors are + 6 and - 4 , since
6 × - 4 = - 24 and 6 - 4 = + 2 , thus
(y + 6)(y - 4) = 0
Equate each factor to zero and solve for y
y + 6 = 0 ⇒ y = - 6
y - 4 = 0 ⇒ y = 4
Answer:
Step-by-step explanation:
2y² + 4y - 48 = 0
2y² + 12y - 8y + (-8)* 6 = 0
2y(y + 6) - 8(y + 6) =0
(y + 6) (2y - 8)= 0
y + 6 = 0 ; 2y- 8 = 0
y = -6 2y = 8
y = 8/2
y = 4
Solution: y = -6 , 4
The projected worth (in millions of dollars) of a large company is modeled by the equation w = 206(1.1) t. The variable t represents the number of years since 2000. What is the projected annual percent of growth, and what should the company be worth in 2011? A. 10%; $534.31 million B. 11%; $646.52 million C. 10%; $587.74 million D. 11%; $226.60 million
Answer:
Hey There!! The Correct answer is: The equation is w = 241(1.06)t
And here variable t represents the number of years since 2000.
In 2001 means t=2001 -2000 = 1
So we plug 1 for t in the given expression , that is w = 241(1.06)1 = 241 * 1.06 = 255.46
Therefore in 2001, it should be worth to 255.46.
And in the given expression 1.06=1 +0.06, where 0.06 is the annual percent of growth that is 6 % .
Hope It Helped!~ ♡
ItsNobody~ ☆
The projected annual percent of growth is 10% and the company worth in 2011 will be $587.74 millions. Then the correct option is C.
What is an exponent?Consider the function:
y = a (1 ± r) ˣ
Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is a plus sign, then there is exponential growth happening by r fraction or 100r %.
If there is a minus sign, then there is exponential decay happening by r fraction or 100r %.
The projected worth (in millions of dollars) of a large company is modeled by the equation is given as,
[tex]\rm w = 206\times (1.10)^t\\\\w = 206\times (1+0.10)^t[/tex]
Then the projected annual percent of growth is 10%.
The variable t represents the number of years since 2000.
Then the company worth in 2011 will be
w = 206 × 1.1¹¹
w = $587.74 millions
The projected annual percent of growth is 10% and the company worth in 2011 will be $587.74 millions.
Then the correct option is C.
More about the exponent link is given below.
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if 13 minute video played for 6 minutes what is the amount of percent played
Answer: 46.15%
Step-by-step explanation:
From the question, we are informed that a 13 minute video played for 6 minutes. The amount of percent played will be:
= 6/13 × 100
= 0.4615 × 100
= 46.15%
2c+17.6 =6 SOLVE --------------- 4 give your answer as a decimal get brainly
Answer:
[tex]\huge\boxed{x = -5.8}[/tex]
Step-by-step explanation:
2x + 17.6 = 6
Subtracting both sides by 17.6
2x = 6 - 17.6
2x = -11.6
Dividing both sides by 2
x = -11.6 / 2
x = -5.8
50 POINTS! What is the product of complex conjugates? A. The product of complex conjugates is a difference of two squares and is always a real number. B. The product of complex conjugates is the same as the product of opposites. C. The product of complex conjugates is a sum of two squares and is always a real number. D. The product of complex conjugates may be written in standard form as a+bi where neither a nor b is zero. 2) The product (5+i)(5−i) is a real number, 26. What are the factors (5+i) and (5−i) called? A. imaginary numbers B. imaginary units C. complex conjugates D. complex numbers 3) What is the sum of the complex numbers −9−i and −5−i? A. 14+2i B. −14−2i C. −14+2i D. 14−2i 4) What is the product of the complex numbers 8i and 5i? A. 40i B. −40 C. −40i D. 40
Answer:
see below
Step-by-step explanation:
What is the product of complex conjugates?
( a+bi) (a-bi)
FOIL
a^2 -abi+abi -b^2i^2
a^2 + b^2
C. The product of complex conjugates is a sum of two squares and is always a real number.
What are the factors (5+i) and (5−i) called?
These are called complex conjugates because the imaginary parts are opposites
C. complex conjugates
What is the sum of the complex numbers −9−i and −5−i?
-9-i+-5-i
Add the real parts
-9-5 = -14
Add the imaginary parts
-i-i = -2i
-14-2i
B. −14−2i
What is the product of the complex numbers 8i and 5i?
8i*5i = 40 i^2
We know that i^2 = -1
40*-1 = -40
B. −40
Find the solution set for this equation M^2-4=0
Step-by-step explanation:
Hey, there !!
Let's simply work with it,...................
Here, theequation is,
[tex] {m }^{2} - 4 = 0 [/tex]
[tex]or \: {m }^{2} = 4[/tex]
[tex]or \: m = + - \sqrt{4} [/tex]
[tex]or \: m = + - \sqrt{ {2}^{2} } [/tex]
cancelling square and square root we get answer is,
= (+ - 2).
It means the value of m is plus(+) minus(-) 2.
Hope it helps...
what is the number of x
Answer:
X>4
Step-by-step explanation:
Look at each pattern.
Identify the rule for each pattern.
Pattern A: 0, 3, 6, 9, 12, 15, 18,...
Pattern B: 0, 12, 24, 36, 48, 60, 72, ...
Answer:
pattern A is going by 3
pattern B is going by 12
Step-by-step explanation:
so you basically just have to add 3 for pattern a and add 12 for pattern B for each number
Find the distance across the lake. Assume the triangles are similar.
80 m
х
у
20 m
60 m
Answer:
A. L = 240 m
Step-by-step explanation:
use similar triangle
L / 60 = 80 / 20
L = (80 * 60) / 20
L = 240 m
The required distance across the lake is 240 m. Hence correct option is A.
Similar triangles, are those triangles which have similar properties i.e. angles and proportionality of sides.
Since, triangles are similar.
The ratio of their sides are also equal
60/20= L/80
L=80 x 3
L = 240 m
Thus, the required distance across the lake is 240 m.
Learn more about similar triangles here:
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PLEASE help me with this question!!! REALLY URGENT!
Answer:
The third table is the correct answer
Step-by-step explanation:
Here in this question, we are concerned with determine which of the tables correctly represents what an exponential function is.
An exponential function is a function of the form;
y = x^n
where the independent variable x in this case is raised to a certain exponent so as to give the results on the dependent variable axis (y-axis)
In the table, we can see that we have 2 segments, one that contains digits 1,2 and so on while the other contains purely the powers of 10.
Now, let’s set up an exponential outlook;
y = 10^x
So we have;
1 = 10^0
10 = 10^1
1/10 = 10^-1
1000 = 10^3
1/100 = 10^-2
We can clearly see here that we have an increase in the value of y, depending on the value of the exponent.
However it is only this table that responds to this successive correctness as the other tables in the answer do have a point where they fail.
For example;
10^-2 is not 10 which makes the fourth table wrong
10^4 is not 100 which makes the first table wrong
we have same error on second table too
Solve for x: 2x+1= -3x+36
Answer:
x = 7
Step-by-step explanation:
2x + 1 = -3x + 36
2x + 3x + 1 = -3x + 3x +36
5x + 1 = 36
5x + 1 - 1 = 36 - 1
5x = 35
5x/5 = 35/5
x = 7
Answer:
first you would add 3x to -3x and 2x, then you would get 5x+1=36. Then you subtract 1 from 1 and 36. Then you get 5x=35. Then you divide by 5 to get the answer 7. so your answer is x=7
Step-by-step explanation:
hope this helps
How many planes exist that pass through points A, B,
and C?
O
1
2
3
Answer: 1
Step-by-step explanation:
Given : A, B, c are three points.
We know that a plane exist that pass through three points.
So 1 plane exist that pass through points A, B, and C.
A point (gives location) , a line(gives length) and a plane(2 dimensional flat surface) are 3 undefined terms.
We need two points two make a line and three points to make a plane.
Answer:
Step-by-step explanation:
The answer is 1
PLS HELP I WILL MARK BRAINLIST AND GIVE YOU A THANK YOU
Answer:
C
Step-by-step explanation:
Since the marked angles are vertical angles, they are congruent, meaning that they have the same angle measure. Therefore, the answer is 10x = 150.
Linda and Juan went shopping. Linda spent $16 less than Juan. If we let w represent how much Juan spent, write an algebraic expression for how much Linda spent. Example for answer: 3x^2+1, x/5, (a+b)/c
Answer:
Step-by-step explanation:
Money spent by Juan = $ w
Linda spent $16 less than Juan. So, we have to subtract 16 from the money spent by Juan
Money spent by Linda = w - 16
solving polynomial(2x+8)(-3y-8)
Answer:
-6xy - 16x -24y -64
Step-by-step explanation:
(2x+8)(-3y-8) =
To find the answer,
First multiply, the first number on both sides,
2x * -3y = -6xy
Then the first number on the left side and the second number on the right side,
2x * -8 = -16x
Then the second number on the left side and the first number on the right side,
8 * -3y = -24y
Then the second number on the left side and the second number on the right side,
8 * -8 = -64
Now add all the answers,
-6xy -16x -24y -64
Answer:
-6xy-16x-24y-64
Step-by-step explanation:
(2x+8)(-3y-8)
Foil
First 2x*-3y = -6xy
outer -8*2x = -16x
inner -3y *8 = -24y
last -8*8 = -64
Add them together
-6xy-16x-24y-64
*PLEASE ANSWER TY* What is the volume of a hemisphere-shaped coffee if the width of the coffee cup is about 16.51 centimeters? (Use 3.14)
Answer:
Option (1)
Step-by-step explanation:
By the property of the liquids,
"Liquids have a fixed volume but don't have the fixed shape. If we put a liquid in a bottle or a cup it will acquire the shape of a bottle or cup."
In our question, coffee when kept in a cup will take the shape of the cup which is a hemisphere.
Volume of a hemisphere = [tex]\frac{2}{3}\pi r^{3}[/tex]
Where 'r' = radius of the hemisphere
Radius of the cup = [tex]\frac{16.51}{2}[/tex] cm
Volume of the hemisphere = [tex]\frac{2}{3}\pi (\frac{16.51}{2} )^{3}[/tex]
= [tex]\frac{2}{3}\pi (8.255)^3[/tex]
= 1177.5778
≈ 1177.58 cm³
Therefore, Option (1) will be the answer.
What is the prime factorization of 270?
Answer:
[tex]\boxed{3^3 * 2 * 5}[/tex]
Step-by-step explanation:
Look at the image below ↓
Answer:
16 factors of 270
Step-by-step explanation:
1*270
2*135
3*90
5*54
6*45
9*30
10*27
15*18
Evaluate a + b for a= 34 and b= -6
Answer:
Hey there!
a+b
34+(-6)
34-6
28
Let me know if this helps :)
describe importance of public participant
Answer:
the main aim of public participant is to encourage the public to have a meaningful input into the decision making process.
solve the following: - 3 raised to 1 by 5 the whole raised to 4 (3^1/5)^4
Answer:
8.30256
Step-by-step explanation:
Step 1: Write out expression
[tex]((-3)^{\frac{1}{5} })^{4(3^{\frac{1}{5} })^4[/tex]
Step 2: Use BPEMDAS to evaluate
[tex](-1.24573)^{4(3^{\frac{1}{5} })^4[/tex]
[tex](-1.24573)^{4(1.24573)^4[/tex]
[tex](-1.24573)^{4(2.40822)[/tex]
[tex](-1.24573)^{9.6329}[/tex]
= 8.30256
And we have our answer!
What are the conditions of floatation in a liquid?
Answer:
The conditions for a substance to float on liquid are given below:
When a substance displaces the liquid equal to its own weight.When the upthrust given by a liquid is more than the weight of a substance.
[tex] \mathrm{Hope \: I \: helped!}[/tex]
[tex] \mathrm{Best \: regards!}[/tex]
Pens cost 15 pence each. Rulers cost 20 pence each. Write down an expression for the cost of x pens and x rulers.
Answer:
C = 35x pence
Step-by-step explanation:
1 pen costs 15 , thus x will cost 15x
1 ruler costs 20, thus x will cost 20x
Total cost (C) will then be
C = 15x + 20x = 35x pence
The total cost of pens and rulers, C = 35x pence
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Cost 1 pens is 15.
Then, cost for x pen is 15x
Cost of 1 ruler is 20
Then, cost of x ruler is 20x
So, the total cost is
= 15x + 20x
= 35x
Learn more about Equation here:
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If two 2x2 matrices are inverses of each other, then multiplying them will result in what matrix below?
inverse of a matrix A is defined as [tex] AA^{-1}=I[/tex]
where I is the identity matrix of the respective order.
Which expression represents the number 12.3 rewritten in a+bi form?
12.3+0i
1+12.3i
12.3+i
0+12.3i
Answer:
The correct option is;
12.3 + 0i
Step-by-step explanation:
The form a + b·i is the complex number form where the variables a and b are real numbers and i is the square root of -1, √(-1) that is i² = -1. As the answer to √(-1), cannot be found among the real numbers, i, is known as an imaginary number.
As such a given complex number of the form a + b·i, has a real, part or component, a, and an imaginary part, b.
The number 12.3, is a real number, therefore, representing the number in a complex number format, the imaginary part, b, would be zero, as follows;
12.3 + 0·i
*Do the equations have solutions? x2=x
Answer:
x = 1
Step-by-step explanation:
x² = x
x² / x = 1
x = 1
Check:
1² = 1
D( Geese fly in V formation. The V forms a right angle that has 16 geese on 1 side and 12 geese on the other side. How many gesse would fill in the gap between the ends of each sides of the V formation?
Answer:
20 will fly in the missing side.
Step-by-step explanation:
This is a 90^o angle.
heres the formula for side c:
a^2 + b^2 = c^2
So,
12^2 + 16^2 = c^2
144 + 256 = c^2
square root of 400 = c
c = 20
So, 20 will fly in the missing gap of the V formation.
image is calculator.
Which is the length of the hypotenuse of the right triangle? Round your answer to the nearest tenth of a centimeter.
Answer:18.87
Step-by-step explanation:
to find the hypotenuse of a triangle, A^2 + B^2 = C^2 if A and B are sides and C is the Hypotenuse. 100 + 256 is 356, so C^2 is 356. to find C, we square root both sides. thus C^2 becomes C, and 356 becomes the square root of 356, which is 18.8679623... and rounded to the nearest 10th of a centimeter that's 18.87
Hope this helps!
You make a pattern bydrawing three similar rectangles. The widthof the smallest rectangle is45of the width ofthe medium-sized rectangle. The width ofthe medium-sized rectangle is45of thewidth of the largest rectangle. The largestrectangle is 12 inches long and 8 incheswide. Find the dimensions of the smallestrectangle. Explain your reasoning.
Answer:
5.12 in. by 7.68 in.
Step-by-step explanation:
In similar triangles, the ratios of the lengths of corresponding sides are equal.
width of medium triangle = 4/5 width of large triangle
width of medium triangle = 4/5(8 in.) = 6.4 in.
length of medium triangle = 4/5 length of large triangle
length of medium triangle = 4/5(12 in.) = 9.6 in.
width of small triangle = 4/5 width of medium triangle
width of small triangle = 4/5(6.4 in.) = 5.12 in.
length of small triangle = 4/5 length of medium triangle
length of small triangle = 4/5(9.6 in.) = 7.68 in.
#1 why is it B？
No idea someone help plz
Answer:
Option (B)
Step-by-step explanation:
1). Given function is,
[tex]f(x)=\frac{1}{x-1}+3[/tex]
It the given function 'f' is transformed by a translation of 2 units to the right, the new function will be,
h(x) = f(x - 2)
h(x) = [tex]\frac{1}{(x-2)-1}+3[/tex]
= [tex]\frac{1}{x-3}+3[/tex]
Further the new function is translated by 6 units down,
g(x) = h(x) - 6
g(x) = [tex]\frac{1}{x-3}+3-6[/tex]
= [tex]\frac{1}{x-3}-3[/tex]
Since, transformed function 'g' passes through a point (x, -2),
g(x) = [tex]\frac{1}{x-3}-3[/tex]
-2 = [tex]\frac{1}{x-3}-3[/tex]
3 - 2 = [tex]\frac{1}{x-3}[/tex]
x - 3 = 1
x = 4
Therefore, Option (B) will be the answer.
Just need to calculate the area of the shaded region, thanks
Answer:
Area of the shaded region= 82.2 cm²
Step-by-step explanation:
Please see attached picture for full solution.
The lines on a 2-cup liquid measuring cup divide each cup into eighths. If you measure 1 3/4 cups of water, between which two quantities can you be certain that your exact measurement will be?
Answer:
1 3/4 cups is between the 13th and 15th lines from the bottom.
Step-by-step explanation:
The bottom of the cup has no line and corresponds to 0 eights.
1st line up: 1/8 cup
2nd line up: 2/8 cup this is also called 1/4 cup
3rd line up: 3/8 cup
4th line up: 4/8 cup this is also called 1/2 cup
5th line up: 5/8 cup
6th line up: 6/8 cup this is also called 3/4 cup
7th line up: 7/8 cup
8th line up: 8/8 cup this is also called 1 cup
9th line up: 9/8 cup
10th line up: 10/8 cup this is also called 1 1/4 cup
11th line up: 1 3/8 cup
12th line up: 1 4/8 cup this is also called 1 1/2 cup
13th line up: 1 5/8 cup
14th line up: 1 6/8 cup this is also called 1 3/4 cup
15th line up: 1 7/8 cup
16th line up: 1 8/8 cup this is also called 2 cups
1 3/4 cups is between the 13th and 15th lines from the bottom.
