We are given –
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x² = 4x -4[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x² -4x +4 = 0[/tex]
Where, a = 1 ; b = -4 ; c = 4Let's find it's discriminant.
We know –
[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf Discriminant = b² - 4ac}[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf Discriminant = (-4)² - 4 \times 1 \times 4[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf Discriminant = 16-16[/tex]
[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\sf Discriminant =0 }[/tex]
If Δ (Discriminant) >0here are two separate real roots.If Δ (Discriminant) =0, there are two identical real roots.If Δ (Discriminant) <0, there are no real roots, but there are two complex roots.As we got –
Δ Discriminant is 0 that means , there are two identical real roots. Henceforth, Option (D) 2 real, rational roots – is correct.Determine the sign of the leading coefficient
Answer:
negative
Step-by-step explanation:
The graph falls to both the left and right, so the leading coefficient has to be negative, and it must be raised to an even power.
Quick easy question
Answer:16
Step-by-step explanation:
144^0.5 = 12
400^0.5 = 20
a^2=b^2+c^2
20^2 = 12^2 +x^2
x^2 = 400-144= 256
x =16
Answer:
16
Step-by-step explanation:
A swimming pool is 20 feet wide and 40 feet long. If it is surrounded by a walkway of square tiles, each is 1 foot by 1 foot, how much area do the pool and walkway cover?
Answer:
124 tiles
Step-by-step explanation:
2(20+40)
2(60)
120+4=124
I need some help with this question, can anyone help me?
Answer: IM only in midle school i think this is it 7(3e + 5)
Step-by-step explanation: f it is brainliest whe someone answers pls ps you next question ready
Jay decides to take out a $12,000 student loan during his first year in college. If he is charged 4.5% interest that is compounded annually, how much will the total loan amount equal in four years when he graduates?
Answer:
2,160.00
Step-by-step explanation:
okay so first we have to find 4.5% of 12,000
which is 540, then multiply 540 by the four years and
540 x 4 = 2,160.00
The total loan amount would be equal to $14,310 in four years when Jay graduates.
Given the following data:
Principal = $12,000Interest rate = 4.5%Time = 4 yearsTo determine how much (future value) the total loan amount would equal in four years when he graduates:
Mathematically, compound interest is given by the formula:
[tex]A = P(1 + r)^{t}[/tex]
Where;
A is the future value.P is the principal or amount borrowed.r is annual interest rate.t is the number of years for the compound interest.Substituting the given parameters into the formula, we have;
[tex]A = 12000(1 + 0.045)^{4}\\\\A=12000(1.045)^{4}\\\\A=12000(1.1925)[/tex]
Future value, A = $14,310
Read more: https://brainly.com/question/16992474
What is the value of the expression below?
(3 1/2 - 9 3/4) ÷ (-2.5)
Answer:
2.5
Step-by-step explanation:
3 1/2 - 9 3/4 =
3 2/4 - 9 3/4 = -6 1/4
-6 1/4 = -6.25 ÷ (-2.5) = 2.5
PLEASE SOMEONE HELP ASAP I NEED HELP WITH THIS
Answer:
See image
Step-by-step explanation:
Rate of change means how much does the number of snowflakes go up each time (on a different question you might find the number goes down each time)
"Initial value" means whatthe number if snowflakes at step zero. We have to work backwards to find that number. For the equation, fill in the rate in front of the x (we use m for that number) and add in the initial value (b) in the format y=mx+b . The information for the table is in the picture (the step numbers and number of snowflakes)
See image
Sally earns commission for selling cars at the Nissan dealership. She earns 5.5% on
every car she sells. Last month, she sold 7 cars for a total of $160,000. What was
Sally's commission last month?
Answer:
8800
Step-by-step explanation:
the length of a rectangle is five times it’s width. if the perimeter of the rectangle is 72 yd find its area
Answer:
Try sketching an image of the rectangle. Area = length x width. To find the perimeter you would add up the length of all four sides.
Step-by-step explanation:
In the first week of July, a record people went to the local swimming pool. In the second week, fewer people went to the pool than in the first week. In the third week, more people went to the pool than in the second week. In the fourth week, fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four weeks?
Answer:
10%
Step-by-step explanation:
Can you please help me?!
Answer:
a. (2,1)
b. (0,2)
c. (4,0)
Step-by-step explanation:
2x+ 4y = 8 /2
x + 2y = 4
x = 4 - 2y and y = (4 - x)/2
a. x = 2 => y = 1
b. x = 0 => y = 2
c. y = 0 => x = 4
Answer it please ❤❤❤❤❤❤❤❤❤❤ I really appreciate if u answer it !
Answer:
Josh has 60% of $600 that is $360
Daniel has $320
So Josh has more by $40
5)
Bianca has 43 votes
Carlos has 38% of the 150 vote that is 57
So Carlos has 14 more votes than Bianca
Step-by-step explanation:
You have learned that to find 1% of a number means finding 1/100 of it. Similarly, finding 60% of a number means finding 60/100 (or 6/10) of it. 60% of $600 → 60% × $600. 60% of $600 → 0.6 × $600.
The latest mystery novel cost $24 the table shows the sales of that this novel by a bookstore what was the dollar amount of the sales of the mystery novel on Saturday right in equation tomorrow to work
Day. Books sold
Thursday. 93
Friday. 103
Saturday 157
Sunday. 116
Answer:
$3768
Step-by-step explanation:
The amount of sales will be the product of the selling price of each book and the number of books sold.
sales = book price × number of books
sales = $24 × 157 . . . . . . . . books sold on Saturday
sales = $3768 . . . . . . . . . . . sales on Saturday
Calculate the measure of the major arc MPN.
Answer:
310°
Step-by-step explanation:
The sum of arcs around a circle is 360°.
MPN +MN = 360°
MPN = 360° -MN . . . . . . . . subtract MN
MPN = 360° -50° = 310° . . . fill in the given value
The measure of major arc MPN is 310°.
Help me with the whole thing pls
Answer:
B and 90%
Step-by-step explanation:
4500 = m•5000
m = 0.9 × 100%
90% of the books are fiction
Rewrite the fraction 2/7 as a division expression with the same numbers.
Answer:
EZ. Btw you kinda already did it. 2/7 is a division problem. Another way is 2 divided by 7
Step-by-step explanation:
the area of a triangle with vertices at (-3,-2),(3,-2),(1,2) is
please provide small explanation
Answer:
12
Step-by-step explanation:
First, you have to graph (which I sadly cannot provide an image of)
Then look at the vertical height which is 4, the how long it is which is 6.
So A=1/2*6*4=12
At your school, the building is 20 feet tall, a tree's height is 252 inches, and the flagpole is 6 yards high.
Which of the three objects casts the longest shadow?
Answer: The Tree height is 21 feet.
Step-by-step explanation:
Let's convert the measurements to feet:
The Building is 20 feet.
The Tree height is 21 feet.
The Flagpole is 18 feet.
Therefore, the Tree is going to cast the longest shadow since it is the highest.
At TGI Fridankay's you order a drink for $2.99, an appetizer for $9.99, the cajun chicken pasta for $11.50, and a desert for $7.99. You had amemeazing service and know that you are going to tip your waiter 20%! The waiter also gave you a 10% coupon to use. There is also a 7% sales tax on the bill. What is your total bill after the tip, discount, and tax?
Answer:
$24.48
Step-by-step explanation:
2.99+9.99+11.50+7.99/20/10/7 = $24.48
Round 6 734 591 to 2 significant figures
BRAINLIEST
Please answer these
3.14 is used for pi.
6. r = [tex]\sqrt{\frac{A}{\pi } }[/tex]
14.00
7. d = [tex]\frac{c}{\pi }[/tex]
5.00
8. d = [tex]2 \sqrt{\frac{A}{\pi } }[/tex]
23.01
9. r = [tex]\frac{c}{2\pi }[/tex]
20.01
10. d[tex]\pi[/tex] = [tex]2 \sqrt{{A}[/tex]
31[tex]\pi[/tex]
11. r[tex]\pi[/tex] = [tex]\frac{c}{2}[/tex]
22.5[tex]\pi[/tex]
Hope this helps :)
Answer:
12. 95.03
13. 52π mm or 52 mm
14. 119.38 meters
15. 227 in²
Note: (make sure to double check all of these because it never hurts to).
elise gets a free tax allowance of $6000 and pays tax at 25% on the next $20 000. she pays tax at a raye of 30% on the rest. if she earns $72 000per year, how much must she pay?
Answer:
c
Step-by-step explanation:
i know because im not g.a.y like u guys
1. (2x^3)^4
2. 18 x^0
3. 7p ^-4
Step-by-step explanation:
1. 16x ^ 12 ( to raise a product to a power , raise its factor to the power , evaluate the power, simplify the expressions by multiplying exponents)
2. 1 ( its a rule any non zero expression raised to power of 0 equals to 1)
3. 7/p^4
Question 3 Multiple Choice Worth 4 points) (03 02) A fish is 5 feet below the surface of a lake if its position can be recorded as -5 feet what would the position of o representa o the distance above the surface of the lake O the distance below the surface of the lake O the surface of the lake me height of the fish
Answer:
omg u a real one been lloking for this bing bong
Step-by-step explanation:
Help guys plzzz asapppp
For f(x)=−2x+4, find f(x) when x=−3.
Look at picture this is so hard pls help
Answer:
The answer is B
Step-by-step explanation:
Which statement is true about the slope of the line and what it means in this
situation?
The slope of the line is 1. This means that Jan runs 1 lap every minute.
The slope of the line is 2. This means that Jan runs 2 laps every minute.
I
The slope of the line is 2. This means that Jan runs 1 lap every 2 minutes.
The slope of the line is 4. This means that Jan runs 4 laps every minute.
Answer:
B. The slope of the line is 2. This means that Jan runs 2 laps every minute.Step-by-step explanation:
This is a proportional relationship as the line passes through the origin.
Therefore you can use one point to determine the slope, (2, 4):
m = y/x = 4/2 = 2The slope is 2. It is a 2 laps per minute.
Correct answer choice is B
Slope
m=4-0/2-0m=4/2 m=2Rate is 2 laps every minute
BGive the equation of the line in slope intercept form. y = 3x + [?] =
Answer:
See below:
Step-by-step explanation:
Hello! I hope you are having a nice day. My name is Galaxy and I will be helping you today.
We can solve this problem in a single step, we just need to know how equations like this are set up.
Equations in slope intercept form are set up in [tex]y=mx+b[/tex] form. With [tex]m[/tex] being the slope of the line, and [tex]b[/tex] being the y intercept.
In your problem, we need to find the value of [tex]b[/tex], which is the y intercept.
The y intercept is what is y when x is zero. We can find that by looking at the graph supplied.
When we look at the line, we can see that it hits the x axis when y is negative two, therefore the intercept is [tex](0,-2)[/tex].
Since we know that, we can reconstruct our equation with this information, we already know the slope so we can add in -2 to get our answer.
[tex]y=3x-2[/tex]
This would be our final answer.
Cheers!
Geometry - Isosceles & Equilateral triangles
Solve for x *
Answer:
7
Step-by-step explanation:
all sides in equilateral triangle are equal so side to the bottom is 56ft
base sides same in isosceles triangle so 56 = 8x
8x=56
56/8 is 7
