Use the Discriminant to find the number and type of solutions to x^2 + 6x -5 = 4x^2
A 2 Real Solutions
B 1 Real Solution
C Real Solutions, 2 Imaginary Solutions
D 3 Solution
Answer:
The equation [tex]x^2 + 6x -5 = 4x^2[/tex] have 2 non-real solution, 2 imaginary solutions.
Step-by-step explanation:
Using the Discriminant to find the number and type of solutions to [tex]x^2 + 6x -5 = 4x^2\\x^2-4x^2+6x-5=0\\-3x^2+6x-5=0[/tex]
The discriminant is: [tex]b^2-4ac[/tex]
We have a = -3, b=6 and c=-5
Putting values and finding discriminant
[tex]b^2-4ac\\=(6)^2-4(-3)(-5)\\=36-60\\=-24\\[/tex]
So, we get discriminant = -24
if discriminant < 0 the solution will have two non-real imaginary solutions.
In our case discriminant < 0 i,e discriminant = -24
So, The equation [tex]x^2 + 6x -5 = 4x^2[/tex] have 2 non-real solution, 2 imaginary solutions.
What is the slope of the line represented by the equation y=- } - 5x?
0 -5
or win win
O 5
Hurry please!
Answer:
The slope of the line represented by y = -5x is "-5".
Step-by-step explanation:
y=mx+b
M=slope
b=Y-intecerpt
What is 60% of 125? Enter your answer in the box.
Answer:
75
explanation: because i looked it up
Harry earned d dollars mowing lawns. He put 20% of his earnings in the bank and paid back $50.00 to his father. He spent
one-fifth of the remaining money on a video game. Which expression represents the amount he spent on the video game?
(0.20 - 10) dollars
(0.20 - 50) dollars
(0.160 + 10) dollars
(0.160 - 10) dollars
Answer:
(0.16d - 10) dollars
Step-by-step explanation:
"Harry earned d dollars mowing lawns. He put 20% of his earnings in the bank and paid back $50.00 to his father."
Start with d dollars.
He put 20% of d dollars in the bank. 20% of d is the same as 0.2d.
Now he has d - 0.2d = 0.8d
He paid his father $50.
Now he has 0.8d - 50
"He spent one-fifth of the remaining money on a video game. Which expression represents the amount he spent on the video game?"
He spent 1/5 of 0.8d - 50 on a video game, so he spent on the video game:
1/5 * (0.8d - 50) = 0.16d - 10
Answer: 0.16d - 10 dollars
(You forgot the "d" in the answers."
(0.16d - 10) dollars
have an nice day
Michael, who really likes to have a bag of chips with his lunch, is comparing chip prices at the store. He can buy a 10-pack of Double Cheese Crisps for $7.80 or a 15-pack of Cheddar Skins for $11.85. Which brand costs less per bag?
Answer:
10-pack of Double Cheese Crisps cost $7.80 cost less per bag
Step-by-step explanation:
Step one:
given
10-pack of Double Cheese Crisps cost $7.80
15-pack of Cheddar Skins cost $11.85
Required:
The unit cost per bag
Step two:
The unit cost of 10-pack of Double Cheese Crisps cost $7.80 is
7.8/10= $0.78
The unit cost of 15-pack of Cheddar Skins cost $11.85 is
11.85/15= $0.79
Answer:
double cheese crisps
Cereal - 13.8 ounces for $4.14 =
Answer:
30¢ per ounce
Step-by-step explanation:
I'm not exactly sure what your asking, but I'm going to assume that your asking for the unit price.
[tex]\frac{4.14}{13.8}=0.3[/tex]
please help me on this
Answer:
32.64 < 3.264
7.489 < 7.498
0.350 > 0.305
9.164 < 9.614
Step-by-step explanation:
The first digit to the right of decimal point is in the tenths place. The second digit to the right of decimal point is in the hundredths place. The third digit to the right of decimal point is in the thousandths place. The fourth digit to the right of decimal point is in the ten thousandths place and so on.
(4x + 10) + (3x + 8)
Answer:
7x+18
Step-by-step explanation:
add both 4x and 3x to get 7x and add 10 and 8 to get 18. therefore 7x+18
The final expression of (4x + 10) + (3x + 8) is 7x + 18.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
(4x + 10) + (3x + 8)
Combine like terms.
4x + 3x + 10 + 8
7x + 18
Thus,
The final expression is 7x + 18.
Learn more about expressions here:
https://brainly.com/question/3118662
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a student earned a grade of 80% on a math test that had 20 problems how many problems on this test did the student answer correctly
Answer:
16
Step-by-step explanation:
To find 80% of 20, multiply .80 x 20
.80×20 = 16
This is how you multiply percentages--put the decimal point 2 places to the left, then multiply. In this case, you're looking at 80%, so move the decimal point two places to the left
80.0 becomes .80
Then multiply that by the number you're trying to find the percentage of
A new bank customer with $3,000 wants to open a money market account. The bank is offering a simple interest rate of 1.1%. What will be the account balance after 20 years?
Answer: The interest customer earn in 20 years will be, $ 660
Step-by-step explanation :
Given:
Principle = $3000
Interest rate = 1.1 %
Time = 20 years
Now we have to determine the simple interest.
Formula used :
where,
P = principle
R = interest rate
T = time
S.I = simple interest
Now put all the given values in the above formula, we get:
Thus, the interest customer earn in 20 years will be, $ 660
Hoped this help :) I’m also a fan of flimflam
Brainlest if you anwser correctly!, and 5 stars with a thanks :)
Answer: can u please clear the screen more? I will answer it just clear the screen please I can’t see it
Step-by-step explanation:
Noel’s brother is 3 times as old as Noel. The sum of their ages is less than 20. What’s the oldest age that Noel could be?
Identify:
Strategize:
Set up:
Solve:
Check
please help meeee!!!!
Answer:
The oldest Noel can be is 6
Step-by-step explanation:
6x3=18
18<20
Noel: 6
Noels' brother: 18
Which answer choice do I choose?
Solve the equation without graphing
21 = 256
Answer:
no solution
Step-by-step explanation:
21 does not equal 256
What is 642 divided by 1083?
Answer:
.592 the full thing is .592797783934
Step-by-step explanation:
calculator
Amy is putting a new floor in her bathroom. She created a scale drawing of her bathroom floor using a scale of 1/3 inch= 1 foot. In the drawing, the bathroom measure 3 inches by 3 1/3 inches. Amy is purchasing squares tiles that measure 1/3 foot on each side. The cost of each tile is $3.00. How much will Amy pay for the tiles for bathroom floor
Answer:
$2,430
Step-by-step explanation:
Scale of the drawing = ⅓ in. to 1 ft
Measurement of the bathroom on paper = 3 in. by 3⅓ in.
Actual measurement of the bathroom:
3*3 = 9 ft
3⅓ * 3 = 10 ft
Area of the bathroom = 9*10 = 90 ft²
Let's find how many square tiles would cover 90 ft².
The side length of 1 tile is said to be ⅓ ft.
Therefore, the area of 1 tile would be ⅓*⅓ = ⅑ ft².
Number of tiles that would cover 90 ft² would be:
90/⅑ = 90*9
= 810 tiles
If 1 tile cost $3.00, therefore 810 tiles would cost:
810 * 3 = $2,430.
Step-by-step explanation:
Is 6,7,8 a Pythagorean triples?
Answer: No
Step-by-step explanation: 6^2+7^2=85
8^2=64
URGENT! PLEASE HELP
The Greenland ice sheet contains about 3 million cubic kilometers of ice. If completely melted, this ice would release about 2.1 million cubic kilometers of water, which would spread out over Earth's approximate million square kilometers of ocean surface. How much would the sea level rise?
Answer:
Answer: 0.005523 kilometer = 5.52 meter In this case, you are asked how much the water height and given the water volume ( 1.9 million cubic kilometers) and the earth area (344milion square kilometers). To answer this question you just need to divide the volume with the area.
can anyone solve 84=4(1 - 4g) step by step?
Answer:
g= -5
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
84-(4*(1-4*g))=0
84 - 4 • (1 - 4g) = 0
3.1 Pull out like factors :
16g + 80 = 16 • (g + 5)
16 • (g + 5) = 0
4.1 Solve : 16 = 0
This equation has no solution.
A a non-zero constant never equals zero.
4.2 Solve : g+5 = 0
Subtract 5 from both sides of the equation :
g = -5
I hope it helps you and if you want you can give me a brainly crown only if you want
Answer:
g = -5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define equation
84 = 4(1 - 4g)
Step 2: Solve for g
Distribute 4: 84 = 4 - 16gIsolate g term: 80 = -16gIsolate g: -5 = gRewrite: g = -5Step 3: Check
Plug in g into the original equation to verify it's a solution.
Substitute in g: 84 = 4(1 - 4(-5))Multiply: 84 = 4(1 + 20)Add: 84 = 4(21)Multiply: 84 = 84Here we see that 84 does indeed equal 84.
∴ g = -5 is a solution of the equation.
Help me PLEASEEEE I’m on a time limit
Answer:
C. 20/52
Step-by-step explanation:
I’ll give brainliest to first person to answer!!
Answer:
7.05
Step-by-step explanation:
Answer: The answer is 7.05m
explanation: Joshua had a piece of rope that was 7.14 meters long he cut off 0.09 meter to practice making knots what was the length of the rope after the cut
Which equation describes the line with a slope of 5 and a y-intercept of 4.
Answer:
The line should look like: y=5x+4
Step-by-step explanation:
The equation for slope-intercept form is y=mx+b, where m is your slope and b is your y-intercept.
Therefore, if we plug in the given values, our equation should look like the following:
y=5x+4
Answer:
y=5x+4
y=mx+b
work out the value of x
will give brainliest
Answer:
x = 35
Step-by-step explanation:
we know that all triangles add up to 180
you first need to make an expression in which the angles equal 180
105 + 140 + x = 180
145 + x = 180
subtract 145 from both sides
x = 35
The sum of Eric’s and Bob’s weights is 9 times the difference of their weights. The positive difference of their weights is also 240 pounds less than the sum. If Eric weighs less than Bob, find Bob’s weight.
Answer:
B - E = B + E = -240
Step-by-step explanation:
Consider 8x2 - 48x = -104.
Write the equation so that a = 1: x2 + __ = __
Complete the square:
x² - 6x + __ -13 + __ = __
Factor the trinomial and simplify:
(x + __ )² = __
Use the square root property of equality to solve (x-3)² = -4.
The solutions are ______.
Answer:
[tex]3+ 2\mathbf{i}[/tex]
[tex]3- 2\mathbf{i}[/tex]
Step-by-step explanation:
Quadratic Equation Solving
We have the equation:
[tex]8x^2-48x=-104[/tex]
Divide by 8:
[tex]x^2-6x=-13[/tex]
Now complete the squares so the left side is a perfect square of a binomial:
[tex]x^2-6x+9=-13+9=-4[/tex]
Factoring the perfect square:
[tex](x-3)^2=-4[/tex]
Taking the square root:
[tex]x-3=\sqrt{-4}[/tex]
The square root of a negative number is an imaginary number:
[tex]x-3=\pm 2\mathbf{i}[/tex]
Solving for x:
[tex]x=3\pm 2\mathbf{i}[/tex]
The solutions are:
[tex]3+ 2\mathbf{i}[/tex]
[tex]3- 2\mathbf{i}[/tex]
Answer:
Keep it simple: got this from above answer...
Answer:
Here's just the answers without all the work for easier reading.
Step-by-step explanation:
First problem answer: x2 + -6 x = -13
Second problem answer: x2 – 6x + 9 = –13 + 9
Third problem answer: (x + -3)² = -4
Fourth problem answer: 3 + 2i
Step-by-step explanation:
Divide
(2xy + 10) by 2
PLS FAST
Answer:
xy+5
Step-by-step explanation:
Answer: xy + 5
Work: So, we are going to divide everything by two. So, in the current equation, it divides everything by two, including the current two, which cancels it. So, after all the division, we get the current answer; xy + 5
I hope this helps, and Happy Holidays! :)
Can you help me with explanation will give brainiest
Answer:
Area of rectangular garden = lxb = 10*5
= 50 sq. inch
when area increases by six times
new area = 50*6 = 300 sq inches
now,
let x be increasement in both length and width
(5+x) (10+x) = 300
50 + 5x + 10x + x² = 300
x² + 15x - 250 = 0
x²+ 25x-10x -250 = 0
x(x+25) - 10 (x+25) = 0
( x-10) (x+25) = 0
either x + 25 =0
x = -25 length can be negative
0r x-10 = 0
x = 10
so 10 inches is increase on both side
Step-by-step explanation:
Solve for x.
4(1 - x) + 2 x = -3(x + 1)
3y=6x-1 what would the slope of my line be?
(7x2 - 5x + 6) + (-3x2 + 5x - 14) adding polynomials
Answer:
4x² - 8
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define Expression
(7x² - 5x + 6) + (-3x² + 5x - 14)
Step 2: Simplify
Combine like terms (x²): 4x² - 5x + 6 + 5x - 14Combine like terms (x): 4x² + 6 - 14Combine like terms (Z): 4x² - 8