Answer:
The quadratic equations and their solutions are;
9 ± √33 /4 = 2x² - 9x + 6.
4 ± √6 /2 = 2x² - 8x + 5.
9 ± √89 /4 = 2x² - 9x - 1.
4 ± √22 /2 = 2x² - 8x - 3.
Explanation:
Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.
We have to solve all of the five equations to be able to match the equations with their solutions.
2x² - 8x + 5, here a = 2, b = -8, c = 5. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4. 24 can also be written as 4 × 6 and √4 = 2. So x = 8 ± 2√6 / 2×2= 4±√6/2.
2x² - 10x + 3, here a = 2, b = -10, c = 3. x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.
2x² - 8x - 3, here a = 2, b = -8, c = -3. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4. 88 can also be written as 4 × 22 and √4 = 2. So x = 8 ± 2√22 / 2×2 = 4± √22/2.
2x² - 9x - 1, here a = 2, b = -9, c = -1. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4. x = 9 ± √89 / 4.
2x² - 9x + 6, here a = 2, b = -9, c = 6. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4. x = 9 ± √33 / 4 .
Answer: 2⁵
Explanation: Since these two powers have the same base of 2,
you can multiply them together by simply adding their exponents.
When we do that, we get 2⁵.
A common mistake in this problem would be to multiply
the bases together and give an answer of 4⁵.
The 2's can't be multiplied together however because
they are not coefficients, they are bases.
When applying your exponent rules, your base will never change.
A triangle has side lengths of 23 in, 32 in, and 54 in. Classify it as acute, obtuse, or right.
Answer:
Acute
Step-by-step explanation:
Help me plsss!!!!!!
Answer:choice b
Step-by-step explanation:
I neeeed helppp plz
Answer:
7. y=x-2, 8. y=3/2x+4, 9. y=-3/4x+8, 10. y=2x-7, 11. y=-5x-3, 12. y=4x-5, 13. y=-3x-1, 14. y=-1/2x+1, 15. y=3/2x+4
Step-by-step explanation:
First you have to plug in the points into y2-y1/x2-x1. This would make it -2-0/0+1. Simplify this to get -2/1 which is -2. This makes the slope -2. Then plug in the slope into point intercept form y-y1=m(x-x1) where m is the slope. This time, I will use the point (0,-2). Therefore, the equation will be y+2=1(x-0) which is equal to y+2 =x-0 which is equal to y=x-2.
This is how you do all of the problems. For problem 13-15, you know that f(0)=-1 is (0,-1) and f(3)=-10 is (3,-10). Then you can solve the problems. I will not explain every single problem but will give you the answers.
Can someone help?
Find the measures of angles ACD, ACB, DAC, BAC
Step-by-step explanation:
ACD=ACB
DAC=BAC
2x=3x-29
x=29°
2x= 58°
ACD= 58°
ACB= 58°
DAC= 180-90-58= 32°
BAC= 32°
which number is halfway between 318970 and 719070
Answer:
it is 519020
Step-by-step explanation:
AC=1
Round your answer to the nearest hundredth.
B
6
70
А
?
С
Answer: 2.18
Step-by-step explanation:
Angle B= 180- (Angle A + Angle C)
= 180- (70+90)
= 180-160=20
((sin A)/BC)=((sin B)/AC)
((sin 70)/6)=((sin 20)/AC)
(0.9/6)=(0.3/AC)
AC= (6*0.3)/0.9
AC= 2.18
Evaluate the function h(t)= t2 - 8t+12 at t=0. Then plot the point on the graph.
Answer: boi
Step-by-step explanation:
Ashleigh wants to double her money. She put $5,000 in a bank account that pays 4% compounded continuously. How long will it take her to double her money? (Round to
Answer:
approximately 17.3 years
Step-by-step explanation:
Compound interest is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
The formula used to find continuously compounded is:
t = log (A/P) / r
The time it will take to double her money is 17.329 years.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
P = $5,000
r = 4%
Amount = 2 x 5000 = $10,000
n = infinite number of times.
Now,
Solve the equation for t
The formula used to find for continuously compounded is:
t = log (A/P) / r
t = log (10,000.00/5,000.00) / 0.04
t = 17.329 years
Thus,
The time it will take to double her money is 17.329 years.
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I need this solved rn. please
Answer:
Saleperson Carl has greater median
Question 8
Ramon solves a linear equation. One of the steps in his work is 53 = 477
Which of these describes the solution to the equation that Ramon solves?
A
The equation has no solution
The equation has a solution of = =9
С
The equation has a solution of c = 424
D
The equation has infinitely many solutions,
Answer:
If Step is 53 = 477 then no solution exist
If Step is 53 x = 477 then there exist a unique solution x = 9
Step-by-step explanation:
Given - Ramon solves a linear equation. One of the steps in his work is
53 = 477
To find - Which of these describes the solution to the equation that Ramon
solves?
Proof -
As given, One of the steps in his work is 53 = 477
There are 2 cases possible -
Case I:
If his step is 53 = 477
Then, the equation has no solution because 53 ≠ 477
Case I:
If his step is 53 x = 477
Then, the equation has a solution because x = [tex]\frac{477}{53}[/tex] = 9
⇒The equation has a solution of x = 9.
Help Please Right now
At a carnival booth, customers had to guess the number of jelly beans in a jar. Samantha guessed there were 375 jelly beans. The actual amount of jelly beans in the jar was 250. What is Samantha's percent error?
Answer:
150
Step-by-step explanation:
The required percent error by Samantha is 50%, as of the given condition,
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
What is the error?Errors are discrepancies between values that are seen and natural truths.
Here,
Samantha guessed there were 375 jelly beans.
The actual amount of jelly beans in the jar was 250.
Error percentage = 375-250 / 250 × 100
= 0.5 × 100
= 50%
Thus, the required percent error by Samantha is 50%, as of the given condition.
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PLEASEEE HELPPP MEE
Step-by-step explanation:
Its the number two. 903 in to the power of 3
awnser with explanination no fake awnsers or reported
Answer:
D,
okie dokie yoo
What is the value of n^-4 w^0 for n=-2 and w=5?
Answer:
1/16
Step-by-step explanation:
-2^-4 = 1/(-2)^4
5^0 = 1
1/(-2)^4 = 1/16
which expressions are equivalent to 2 to the 6th power choose all that apply. please help
Answer:
2 * 2 * 2 * 2 * 2 * 2
4 * 16
8 * 8
Step-by-step explanation:
Power is the result of multiplying two numbers together. The correct option is 2×2×2×2×2×2, 4×16, and 8×8.
What is power?Power is the result of multiplying two numbers together. Power is typically expressed by a base number and an exponent. The base number indicates the number being multiplied. The exponent, which is a little number printed above and to the right of the base number, indicates the number of times the base number is multiplied.
The given expression can be written as,
2⁶ = 2 × 2 × 2 × 2 × 2 × 2
= 4 × 16
= 8 × 8
Hence, the correct option are 2×2×2×2×2×2, 4×16, and 8×8.
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The area of the parallelogram below is 75 cm? What is the
length of b?
Answer:
The answer is 15
Step-by-step explanation:
See, if you divide 75 by 5 you get 15.
HOPE THIS HELPED!!
Help me plsssssss!!!!!!!
Answer:
hello pero no hablo inglés ._.
Plzzzz help me plzzz help
Answer:
D
Step-by-step explanation:
Answer:
ITS D
Step-by-step explanation:
A monomial only has one number. Mono meaning 1.
Help me asap number 4
Answer:
Step-by-step explanation:
Answer:
Y esto no se mira tome le la foto vien y le ayudare
PLEASE HELP URGENTT
Lamar goes shopping for a new flat-panel television. A television is usually described by the length of the
screen’s diagonal. He finds a great deal on a 42-inch display model.
a. If the screen’s height is 21 inches, what is the width of the screen?
b. The border around the screen is 2 inches. What are the dimensions of the television, including
the border?
Answer:
Step-by-step explanation:
d^2=h^2+w^2
a)
w^2=42^2-h^2, h=21
w^2=1764-441
w^2=1323
w=36.373
b)
36.373+2(2) by 21+2(2)
w=40.373, h=25
Given two angle measures and the length of the included side, does this side length affect the number of triangles that can be drawn? Explain. ▼ since two angle measures and the length of the included side are given, there is ▼ only one more than one way to draw the triangle. The number of triangles that can be drawn is ▼ not affected affected by the length of the given side
Answer:
Step-by-step explanation:
Since two angles and the length included side is given, we can make only one triangle with this measures. The number of triangles that can be drawn is affected by the length of the given side.
A triangle has an area of 36 square meters. What could its base and height be?
b = 12 m, h = 6 m
b = 9 m, h = 4 m
b = 9 m, h = 9 m
b = 8 m, h = 9 m
Answer:
b = 12 m, h = 6 m
Step-by-step explanation:
A=1/2bh
36=1/2bh
Plug in the first values
36=1/2(12)(6)
36=6*6
36=36
use the distance formula to find the distance between these two points (-8,-2) and (6,-1)
An angle measures 106.4° less than the measure of its supplementary angle. What is the measure of each angle
Answer:
The two supplementary angles are 10 and 170 degrees.
Step-by-step explanation:
Two angles are supplementary when that add up to 180 degrees. In this case, we are given that one of the two angles is 160 degrees more than the other. We can construct the following equation. x + ( x + 160 ) = 180 x
represents the degree measure of the smaller angle. Now, all we need to do is solve the equation for x. 2 x + 160 = 180 2 x = 20 x = 10
Now that we have the value of the smaller angle, we can easily solve for the larger angle. We are told that it is 160 degrees larger than the other one.
10 + 160 = 170. Therefore, the two supplementary angles are 10 and 170 degrees.
tam sayılı kesirleri anlatır mısınız?
Bir tam sayı ve bir basit kesir ile ifade edilen kesirlere taam sayılı kesir denir.
Sarah has some chocolates.
24 are white chocolate.
16 are milk chocolate.
8 are dark chocolate.
(a) Write down the ratio of white chocolate to milk chocolate to dark chocolate.
Give your ratio in its simplest form.
Answer:
3:2:1
Step-by-step explanation:
24 divided by 8 is 3, 16 divided by 8 is 2, 8 divided by 8 is 1.
Which net represents this solid figure?
Answer:
The 3rd one
Step-by-step explanation:
Answer:
The second net.
Step-by-step explanation:
Express the product of (2x+5/2) and (x-1) as a trinomial in simplest form
Answer:
[tex]\displaystyle 2x^2 + \frac{x}{2} - \frac{5}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsExpand by FOIL (First Outside Inside Last)Step-by-step explanation:
Step 1: Define
[tex]\displaystyle (2x + \frac{5}{2})(x - 1)[/tex]
Step 2: Expand
[Trinomial] FOIL: [tex]\displaystyle 2x^2 - 2x + \frac{5}{2}x - \frac{5}{2}[/tex][Trinomial] Combine like terms: [tex]\displaystyle 2x^2 + \frac{x}{2} - \frac{5}{2}[/tex]Pls help me with my work ( ◠‿◠ )
Answer:
yes you may use the answer will be 100% correct
Question 5
Which statement is true about figure DEF?
DEF is a scalene triangle.
ya
4
E
DEEF
2
D
-8
-6
0
2
-2
DF DE
E
DF = EF
The correct equation for the triangle is,
⇒ DF ≅ FD
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
By the figure, the coordinate of triangles are,
D = (- 5, 1)
E = (- 2, 3)
F = (- 3, - 2)
Hence, By using distance formula;
DE = √ (- 5 + 2)² + (1 - 3)²
= √9 + 4
= √13
EF = √ (- 2 + 3)² + (3 + 2)²
= √1 + 25
= √26
FD = √ (- 5 + 3)² + (1 + 2)²
= √4 + 9
= √13
Thus, We have;
⇒ DF ≅ FD
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