Answer:
4
Step-by-step explanation:
factoring , using square roots , completing the square and the quadratic formular
Answer:
See below.
Step-by-step explanation:
The four main ways to solve a quadratic equation are:
1) Factoring, 2) Completing the Square, 3) Graphing, and 4) Quadratic Formula.
Each method has it's own pros and cons.
1) Factoring. You should factor when the given equation is easily factor-able or already factored. For instance:
[tex]0=x^2-4x-12\\0=(x+7)(x-1)[/tex]
These problems are easily factored so factoring is preferred here. However, factoring will not always work.
2) Completing the Square. You complete the square if you are able to complete the perfect square trinomial with only integers. For instance:
[tex]x^2-2x-7=0\\(x^2-2x+1)-7-1=0\\(x-2)^2-8=0[/tex]
However, you wound't use completing the square if:
[tex]x^2-3x+2=0\\(x^2-3x+9/4)+2-9/4=0[/tex]
The perfect square trinomial includes fractions so you would use alternative methods here (and factoring works here!).
Despite the complexity of completing the square, if done correctly, it works every time. However, sometimes, it can be time-consuming.
3) Graphing. Graphing (if on paper) is time-consuming. You would only use graphing when you only need an approximation. Unless directed to, you probably won't need to use graphing.
However, if you have a graphing calculator, graphing the equation can allow you to check your answer. So, graphing won't get you precise answer, but it will allow you to check your answer is necessary.
4) Quadratic Formula. Use the quadratic formula if the equation isn't factor-able and completing the square is too tedious. For instance:
[tex]4.1x^2-3x-7=0\\[/tex]
This doesn't seem factor-able and completing the square will take a while. Graphing won't get the exact answer, so the quadratic formula is the only avenue left.
The quadratic method, like completing the square, will always work.
Only con is that you need to memorize the formula.
what is the domain of the function shown in the graph below?
Answer type: interval, all real numbers, all values except one, all values except two
interval:
Answer:
All except one interval [-2,8]
Step-by-step explanation:
Notice that the function, wich an hyperbola, has a vertical asymptote in both -2 and 8 and there is nothing between this two values.
So we will exclude what's between them out of the domain.
John and Maria also want to put new tile in their living room. The floor measures 20 feet long by
20 feet wide. The tiles they want to purchase cost $2.25 each, and each tile covers exactly 1 square
foot of floor space. How much will they need to spend on tile? (Section 10.8) (1 point)
Answer:
$900
Step-by-step explanation:
First, find the area of the floor with the equation A = lw
A = lw
A = (20)(20)
A = 400 ft²
Since each tile covers 1 sq ft and the floor's area is 400 sq ft, they will need 400 tiles.
To calculate the total cost, multiply 400 by 2.25
400(2.25) = 900
= $900
Find the sine and cosine of each angle as a fraction and as a decimal. Round to the nearest hundredth.
Answer:
1st triangle:
sin(C): 0.64, [tex]\frac{16}{25}[/tex]
cos(C): 0.8, [tex]\frac{4}{5}[/tex]
Second triangle:
sin(C): 0.75, [tex]\frac{\sqrt{5} }{3}[/tex]
cos(C): 0.67, [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Using SOH CAH TOA, we know that to find the sin of an angle, it's Opposite/Hypotenuse.
To find the cos of an angle, it's adjacent/hypotenuse.
In the 1st triangle:
The adjacent to C is 16, the hypotenuse is 25.
[tex]\frac{16}{25} = 0.64[/tex] is the sin of C.
The adjacent to C is 20, and the hypotenuse is 25.
[tex]\frac{20}{25} = 0.8[/tex] is the cos of C.
In the second triangle:
The opposite to C is [tex]\sqrt{5}[/tex] and the hypotenuse is 2.
[tex]\frac{\sqrt{5} }{2} \approx0.75[/tex] is the sin of C.
The adjacent to C is 2 and the hypotenuse is 3.
[tex]\frac{2}{3} \approx 0.67[/tex] is the cos of C.
Hope this helped!
Witch one do I pick
Answer:
c
Step-by-step explanation:
I will give BRAINIEST to the next person who answers this!!
Answer:
Challenge #1:
Different examples:
2x+1=3x+2
4x+3=5x+4
3x+2=4x+3
Challenge #2:
Different examples:
2x+0=4x+1
3x+1=2x+5
6x+5=8x+6
Answer:
(-2x + 1 = 1x + 1) or (-4x + 2 = 2x + 2)
Step-by-step explanation:
PLEASE HELP!!! ASAP!!!
Answer:
28 units²
Step-by-step explanation:
→ Work out the size of the triangle if it was a full rectangle
Height = 4 and Base = 2
→ Work out area of triangle
0.5 × Height × Base ⇒ 0.5 × 4 × 2 ⇒ 2 × 2 ⇒ 4
→ Minus the area of the triangle from the "imaginary full' rectangle
Area of rectangle = Length × Width ⇒ 8 × 4 ⇒ 32
32 - 4 = 28
Answer:
[tex]\huge\boxed{28\ units^2}[/tex]
Step-by-step explanation:
The figure consists of a triangle, a square and a rectangle.
Area of Triangle:
[tex]\sf \frac{1}{2} (Base)(Height)\\Where \ Base = 2 , Height = 4 \\=> \frac{1}{2} (2)(4)\\=> 4\ units^2[/tex]
Area of Square:
[tex]\sf (Length)(Length)\\(4)(4)\\=> 16\ units^2[/tex]
Area of rectangle:
[tex]\sf (Length)(Width)\\Where \ Length = 4 , Width = 2\\=> (4)(2)\\=> 8 \ units^2[/tex]
Area of the whole figure:
=> 4 + 16 + 8
=> 28 units²
What is the solution to -5 + z = -12 A. z = -17 B. z = -7 C. z = 7 D. z = 17
Answer: -7
Step-by-step explanation:
. Emma wanted to make an origami fish for each of her 22 classmates. She takes 30 minutes to make one fish. How long will Emma take to make all the fish? A 320 minutes B 11 hours © 600 minutes D 660 hours
Answer:
11 hours
Step-by-step explanation:
50 minutes = 1 hour
30 minutes = 1/2 hour
She takes 1/2 per fish.
1/2 * 22 = 11
Answer: 11 hours
A percent is the numerator of a ratio whose denominator is A. 25 B. 50 C. 75 D. 100
I am sure the answer is D
Answer:
D 100
Step-by-step explanation:
60% = 60/100
70% =70/100
Need help and show work plz
====================================================
Explanation:
With any parallelogram, the adjacent angles always add to 180 degrees.
(angle ADC) + (angle DCB) = 180
(angle ADC) + 120 = 180
angle ADC = 180 - 120
angle ADC = 60 degrees
--------
Angles 1 and 2 combine to form angle ADC by the angle addition postulate. This is just the idea of gluing smaller angles to form larger ones.
(angle 1) + (angle 2) = angle ADC
45 + (angle 2) = 60
angle 2 = 60-45
angle 2 = 15 degrees
According to the 2000 census, the population of a city was 935,426. According to the 2010 census, the population of the same city was 934,578. Taylor says the 2000 population was greater than the 2010 population.
1. - Construct an argument that supports Taylor's conjecture.
2. - In 1870, the population was seventy-two thousand, five hundred six. Lupita wrote 72,560. Construct a math argument that explains whether Lupita wrote the number correctly.
The Taylor is right and Lupita is wrong.
It is required to Construct a math argument.
What is a statement?A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.
Given:
In 2000 census, the population of a city was 935,426.
In 2010 census, the population of the same city was 934,578.
1. Taylor is correct because in the thousands place there is a a five for 2000 and 2010 it’s a 4.
2. Lupita is wrong it should be seventy-two thousand five hundred sixty.
Therefore, the Taylor is right and Lupita is wrong.
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pleeeaaaasseeeee help me!!!
determine the percent of change. round to the nearest whole percent if necessary. original: 250 new: 100
Answer:
going from new to original would be times 2.5
from original to new would be time 0.4
Step-by-step explanation:
new to original is the 250/100
original to new is 100/250
Answer:
-60%
Step-by-step explanation:
First, find the difference
250 - 100 = 150
Then divide the decrease by the original number
150/250 = 0.6
And to convert this to a percentage all you have to do is multiply it by 100
0.6(100) = 60
The percent of change is -60% which is a decrease since it's negative
Convert .23 Kiloliters to liters
what’s the answer?
Answer:
230 liters
Step-by-step explanation:
1000 liters is 1 kiloliter
Multiplying by the conversion factor
.23 kiloliters * 1000 liter/ 1 kiloliter= 230 liters
Answer:
= 230litres
Step-by-step explanation:
know that
1000liters makes 1 kilometer
if 1000liters make 1kilometer then we will multiply 0.23 by 1000litres
that is,
0.23 x 1000
= 230litres
Solve for u, Simplify your answer as much as possible
52=5u-8
Answer:
12 = u
Step-by-step explanation:
52=5u-8
Add 8 to each side
52+8=5u-8+8
60 = 5u
Divide each side by 5
60/5 = 5u/5
12 = u
Which list shows the order of the numbers from greatest to least? List 1: 2.3, 2.03, 2.5, 0.25 List 2: 0.25, 2.5, 2.03, 2.3 List 3: 2.03, 2.3, 2.5, 0.25 List 4: 2.5, 2.3, 2.03, 0.25
Answer:
4
Step-by-step explanation:
2.5, 2.3, 2.03, .25
Find RS. A. 5 B. 10 C. 9 D. 12
Answer:
RS = 5
Step-by-step explanation:
To find x use the equation 2x - 6 + 1 + x - 4 = 18
When you solve this x should equal 9
To find RS plug in x in (x-4)
9 - 4 (5)
Answer:
5 (Answer A)
Step-by-step explanation:
From the diagram we know that 2x - 6 + 1 + x - 4 must equal 18.
Then 2x - 6 + 1 + x - 4 = 18. Combining like terms, we get:
3x - 5 - 4 = 18, or 3x - 9 = 18
Then 3x = 27, and so x must be 9.
Then the length of RS is 9 - 4 = 5 (Answer A)
What is 8.875% as a decimal and fraction in lowest terms???
I need help pls. Thxs!
Answer:
0.08875
71/800
Step-by-step explanation:
8.875% = 8.875/100 = 0.08875
8.875% = 8.875/100 = 8875/100000 = 1775/20000 = 355/4000 = 71/800
Answer:
0.08875
Step-by-step explanation:
write the percent as a fraction or mixed number in simpelst form 35% A) 3 1/2 B) 13/20 C) 6 1/2 D) 7/20
Answer:
7/20
Step-by-step explanation:It is the same thing as .35. So just turn it into fraction and simplify.
Answer:
D) 7/20
Step-by-step explanation:
Divide 35 by 100:
35 / 100 = .35
Convert into a fraction and simplify:
[tex].35=\frac{35}{100}=\frac{35/5}{100/5}=\boxed{\frac{7}{20}}[/tex]
Option D should be the correct answer.
Find the simple interest on \$5,000 at 4% interest for 3years.
The steepness or grade of a road is expressed as a percent. if a road rises 6feet for every 24 horizontal feet. What is the slope of the road? what percent grade is this ?
Answer:
25%
Step-by-step explanation:
The ratio of rise to run is ...
rise/run = 6 ft/24 ft = 1/4
Expressed as a percentage, this is ...
1/4 × 100% = 25%
_____
Comment on this grade
Interstate highways are limited to a 7% grade. Most local jurisdictions limit the grade of a road to somewhere between 12% and 15%.
Can someone help me with this math problem
Answer:
B. (m-1)(m-8)
Step-by-step explanation:
The factors of 8 (constant term) are
{(1,8), (2,4)}, from which we see that 1+8 = 9, the absolute value of the coefficient of the second term.
Therefore we can group the expression as
m^2 - 9m + 8
= m^2-m - (8m -8)
then factor each group
= m(m-1) - 8(m-1)
and factor out (m-1)
= (m-1)(m-8)
In a Euler diagram, “No X are Y” would be represented how?
Answer: Two separated circles, one called X and the other called Y.
(so there is no element of the set X that is also in the set Y)
Step-by-step explanation:
"No X are Y"
This means that there is not a single element in the set X that is also in the set Y.
So in an Euler diagram, you can represent this as two circles, one called Y and other called X, where the circles do not intersect or touch at any point.
This particular case is represented similarly to how you would represent it in a Venn diagram
7 divided by 900 please help this question is annoying
If 120 is divided into 3 parts which are proportional to 1, [tex]\frac{1}{2} [/tex], and [tex]\frac{1}{6}[/tex], what is the middle part?
[tex]k+\frac{k}{2}+\frac{k}{6}=120\\\\6k+3k+k=720\\10k=720\\k=72[/tex]
72,36,12
answer: 36
An isotope of lead, 201Pb, has a half-life of 8.4 hours. How many hours ago was there 70% more of the substance? (Round your answer to one decimal place.) hr
Step-by-step explanation:
half life time-50%-8.4hr
so for 10%- 8.4/5=1.68 hr
now for 70%
1.68 × 7 = 11.76 hrs
to one decimal place - 11.8hrs
11.8 hours ago, there were 70% more of the substance if an isotope of lead has a half-life of 8.4 hours.
What is half-life?Half life is the time that it takes for half of the original value of some amount of a radioactive element to decay.
Half-life period - 50% -8.4hours
so for 10%- 8.4/5 = 1.68 hour
now for 70%
1.68 × 7 = 11.76 hours
To one decimal place - 11.8hours
Hence, 11.8hours is the answer.
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can someone answer this QUICKLY and make it make SENSE please
Answer:
3x6, (3)(6), 6+6+6
Step-by-step explanation:
The are asking which equation matches the situation,...
3 tables, 6 chairs per table = 3 x 6chairs = 18 chairs
3x6
(3)(6)
6+6+6
What they want you to do is put that equation 3x6 in the "Represent the Situation" box and the rest in the "Do not represent Situation" one
NEED IT ASAP
Tony is shopping for new tires for his 4-wheel-drive truck. In addition to the price of the tires, there is a 10% sales tax plus a state-mandated $45 fee for disposing of his old tires. If Tony has determined that he will spend less than $559.80 total, then what is the price range he can spend on the tire set?
Sry couldn't find the answer
Perform the following calculation and express the answer in scientific
notation: 1.2 x 10^-2 m x 3.0 x 10^-6 m =
Answer:
Hey there!
1.2 x 10^-2 times 3.0 x 10^-6 = 3.6 x 10^-8 m^2.
Hope this helps :)
simplify (45) - (+14)
Answer:
31
Step-by-step explanation:
(45) - (+14)
45 - 14 (Negative sign is distributed)
=31
Please help answer all these questions. I will give brainliest questions aint in order
Answer:
please send the questions again