Answer:
• The quadratic formular is as below:
[tex]{ \boxed{ \rm{x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a} }}}[/tex]
• Basing on our equation given, x² - 5x - 2 = 0;
a → 1b → -5c → -2[tex]{ \rm{x = \frac{ - ( - 5) \pm \sqrt{ {( - 5)}^{2} - (4 \times 1 \times - 2) } }{(2 \times 1)} }} \\ \\ { \rm{x = \frac{5 \pm \sqrt{33} }{2} }} [/tex]
• Therefore;
[tex]{ \boxed{ \rm{x = \frac{5 + \sqrt{33} }{2} }}}{ \rm{ \: \: or \: \: }}{ \boxed{ \rm{x = \frac{5 - \sqrt{33} }{2} }}} \\ \\ { \boxed{ \boxed{ \rm{x = 5.37 \: \: or \: \: - 0.37}}}}[/tex]
- How are the functions y = x and y = x + 4 related? How are their graphs related?
Answer:
Either horizontal translation 4 units to the left or vertical translation UP 4 units
Step-by-step explanation:
Jaylo bought a television priced at $349. She received a 20% discount and paid a 7% sales tax. What is the total price of the television? A. $74.69 B. $298.74 C. $348.87 D. $448.12
Answer:
B
Step-by-step explanation:
349 ---100%
x ------ 20%
x= (349×20)÷100
x=69.8
349-69.8=279.2
279.2 ---100%
x-----7%
x=(279.2×7)÷100
x=19.54
Final result
279.2+19.54=298.74
And final result is B
The total price of the television is B. $297.74
Given that,
Jaylo bought a television priced at $349. She received a 20% discount and paid a 7% sales tax.Based on the above information, the calculation is as follows:
[tex]= (\$349 \times (1- 0.20) + \$349 \times (1- 0.20) \times 0.07)\\\\= \$279.20 + \$19.544[/tex]
= $297.74
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which fact helps you prove the isosceles triangle theorem, which states that the base angles of any isosceles triangle have equal measure?
Answer:
If one angle of a triangle is larger then another angle, then the side opposite then the larger angle is longer then the side oposite to the smaller angle
Step-by-step explanation:
5/6x10 ......................
Answer:
67
Step-by-step explanation:
you divide the two numbers then you multiply by ten
need help!!!
which addition matches the problem...
Answer:
The addition that matches the problem is the first one.
Step-by-step explanation:
The red line goes back 8 so it is a -8 and the blue line goes forward 4 so it is a postive 4.
4 + (-8) = -4
Find the 13th term of the geometric sequence 7, 21, 63, ...7,21,63,.
Answer:
3,720,087
Step-by-step explanation:
Multiply each number by 3.
Please help :)
40 percent of the leaves are still green. If there are 12,000 total leaves, how many are no longer green?
Answer: 7200
Step-by-step explanation:
40 percent of leaves are green so 60 percent of leaves are no longer green.
there are 12000 total leaves so [tex]\frac{60}{100}[/tex] × [tex]12000[/tex] = 7200
please give me a brainliest answer
Mike can drive 375 miles on one full tank of gas,which is 25 gallons.What equation
can mike use to find the total number of miles
Answer:
375/25=15
Step-by-step explanation:
a board that is 4 1/2 feet long weighs 7 1/5 pounds how much would one foot of the board weigh? write your answer as a mixed number
DESPERATE PLEASE HELP WILL AWARD BRAINLIEST
Answer: 1 foot = 5/3 or 1.6666 pounds
Step-by-step explanation: to get 4 1/2 feet to one foot, you divide by 4 1/2. in this equation, 4 1/2 ft= 7 1/2 pounds. if you divide one side by 4 1/2, you also have to do the same to the other side. therefore you do 7 1/2 divided by 4 1/2 which will give you 1.6666 or 5/3.
1 foot= 5/3 pounds
Factor the following polynomials:
1.) 100a² - 25b²
2.) m³ + 125
3.) 8a³ - 64b³
4.) x² - 8x + 12
5.) b² - 6b - 27
Step-by-step explanation:
1. 100a²-25b² [use : a²-b² formula : (a+b)(a-b)]
=> 25(4a²-b²)
=> 25(2a-b)(2a+b).
2. m³+125 [use : a³+b³ formula: (a+b)(a²-ab+b²]
=> m³+5³ => (m+5)(m²-5m+25).
3. 8a³-64b³ [use : a³-b³ formula: (a-b)(a²+ab+b²]
=> 8(a³-8b³) => 8(a-2b)(a²+2ab+b²)
4. x² - 8x + 12 [middle term breaking)
=> x²-2x-6x+12 => x(x-2)-6(x-2) => (x-2) (x-6)
5. b² - 6b - 27 [ middle term breaking]
=> b²-9b+3b-27 => b(b-9)+3(b-9) => (b-9)(b+3).
hope this helps you.
How do I solve (a+b)(3a-b)(2a+7b)
Please help
Answer:
Simplifying
-5 + -1(3a + b) + (2a + -7b) = 0
-5 + (3a * -1 + b * -1) + (2a + -7b) = 0
-5 + (-3a + -1b) + (2a + -7b) = 0
Remove parenthesis around (2a + -7b)
-5 + -3a + -1b + 2a + -7b = 0
Reorder the terms:
-5 + -3a + 2a + -1b + -7b = 0
Combine like terms: -3a + 2a = -1a
-5 + -1a + -1b + -7b = 0
Combine like terms: -1b + -7b = -8b
-5 + -1a + -8b = 0
Solving
-5 + -1a + -8b = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + -1a + 5 + -8b = 0 + 5
Reorder the terms:
-5 + 5 + -1a + -8b = 0 + 5
Combine like terms: -5 + 5 = 0
0 + -1a + -8b = 0 + 5
-1a + -8b = 0 + 5
Combine like terms: 0 + 5 = 5
-1a + -8b = 5
Add '8b' to each side of the equation.
-1a + -8b + 8b = 5 + 8b
Combine like terms: -8b + 8b = 0
-1a + 0 = 5 + 8b
-1a = 5 + 8b
Divide each side by '-1'.
a = -5 + -8b
Simplifying
a = -5 + -8b
Step-by-step explanation:
Solve the given equation.
- 29 = - 13 - n
Write step by step how you solved it.
Answer:
The answer is n=16
Step-by-step explanation:
Let's solve your equation step-by-step.
−29=−13−n
Step 1: Simplify both sides of the equation.
−29=−13−n
−29=−13+−n
−29=−n−13
Step 2: Flip the equation.
−n−13=−29
Step 3: Add 13 to both sides.
−n−13+13=−29+13
−n=−16
Step 4: Divide both sides by -1.
−n/−1 =−16/−1
n=16
(2x)/(x-1)
Find the derivative using quotient rule
Answer:
Step-by-step explanation:
see pic below for quotient rule
[tex]\frac{(2x)'(x-1)-(2x)(x-1)'}{(x-1)^2}=\frac{2(x-1)-2x}{(x-1)^2}=\frac{2x-2-2x}{(x-1)^2}=-\frac{2}{(x-1)^2}[/tex]
Maizes grandmother open the second account with $75 for her when she was born the account is 4% simple interest each year when Maize is 10 years old how much will she have in the savings account?
Answer:
She'd have $45
Step-by-step explanation:
4% of 75 is 3 dollars.
So 3 dollars per year and after 10 years the account lost $30 to the simple interest.
3*10(AmountOfYears)=30
So 75-30=45
$45 would be left in the savings account.
Relationship B has a greater rate than Relationship A. This graph represents Relationship A.
Which equations could represent Relationship B?
Select each correct answer.
y = 0.6x
y=23x
y=14x
y=34x
First-quadrant graph showing a ray from the origin through the points begin ordered pair 4 comma 2 end ordered pair and begin ordered pair 8 comma 4 end ordered pair.
Answer:
y = 0.6x
Step-by-step explanation:
Look what happens as we move from point (4, 2) to point (8, 4). The x coordinate increases by 4 and the y coordinate by 2. Thus, the slope of the line representing Relationship A is m = rise / run = 2/4, or 0.5.
The only one of the four possible answers that could be correct is y = 0.6x, which has a greater rate (slope) than does the given line (m = 0.5).
Answer: 0.6
2/3
3/4
I took the test and got those as my answer. Btw here's the image for proof :)
Fill in the missing number.
70% of blank equals 14
Answer:
20
Step-by-step explanation:
14/0.7
Answer:
Step-by-step explanation:
Your question: 70 percent of what number equals 14?
Step 1: Multiply both sides by 100 to get 7,000 and 1,400.
Step 2: Divide both sides by 70 to get 100 and 20.
Step 3: Put it into fraction form. [tex]\frac{20}{100}[/tex].
Step 4: Since in percentages, you typically only go up to 100, we can remove the 100 to leave us with just 20.
Step 5: We have our answer. 70% of 20 is 14.
Hope this helps! :D
Use technology to find the line of best fit for the following data.
Answer:
what following data
Step-by-step explanation:
Whenever the first and last day of a
month fall on the same day of the week,
that month has exactly how many days?
A. 28
B. 29
C. 30
D. 31
Step-by-step explanation:
I believe it would be 29days
Months with 31 days are the only ones where the first and last day of the month fall on the same day of the week. So, correct option is D.
The months with the same day of the week for their first and last day have either 30 or 31 days. This is due to the repeating pattern of days in a month.
Let's consider the possibilities:
If a month has 30 days and the first day falls on a Sunday, then the last day of the month would fall on a Tuesday, which is two days ahead. This means that the next month's first day would be a Wednesday. Since there are only 7 days in a week, the first and last day cannot be the same for a 30-day month.
If a month has 31 days and the first day falls on a Sunday, then the last day of the month would fall on a Monday, which is just one day ahead. This means that the next month's first day would also be a Monday, making the first and last day the same for this 31-day month.
Thus, the correct answer is D. 31
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One-fourth of a number is five-eights. Find the number. Simplify your answer
Answer:
2.50 or 2.5
Step-by-step explanation:
1/4=.25 so 25% of a number=5/8=0.625
So we multiply .625*4 to get the number. Since it's 25% and we want 100% to get it back to the original number
.625*4=2.50 or 2.5
answer these 3 questoins
Answer:
b) m = 1/2
c) m = 3
d) m = 1/3
Step-by-step explanation:
b) rise = 1, run = 2; m = rise/run, so m = 1/2
c) rise = 3, run = 1; m = rise/run, so m = 3
d) rise = 1, run = 3; m = rise/run, so m = 1/3
Consider randomly drawing two students without replacement from a class of 40 students in which 3 are left handed. Below is a tree diagram illustrating that the probability of selecting 2 left handed students is 1/260. Calculate the probabilities labeled on the tree diagram
Answer:
a. 3/40
b. 37/40
c. 2/39
d. 37/39
e. 3/39
h. 36/39
k. 1/260
m. 37/520
n. 37/520
w. 111/130
Step-by-step explanation:
First person:
a. 3/40
b. 37/40
_____
Second person:
left-handed branch of tree diagram: since the first person was left-handed, it means there is one less left-handed person, and one less person for the total
c. 2/39
d. 37/39
not left-handed branch of tree diagram: since the first person wasn't left-handed, there are still 3 left-handed people, and there is one less person for the total.
e. 3/39
h. 36/39
_____
for the final probabilities, just multiply along the tree branches:
k = a × c = 1/260
m = a × d = 37/520
n = b × e = 37/520
w = b × h = 111/130
The successor of -18
Answer:
-17
Step-by-step explanation:
−18 + 1 = −17
Evaluate for b
50 = -1/3b + 20
Answer:
50=−13⋅+20
Step-by-step explanation:
Question number 13, please help
Answer:
4)
That is the answer
MARKING BRAINLEIST + 20 POINTS PLEASE HELP IS DUE TODAY
Answer: The slope is 1.5. The equation of the line is y=1.5x+3
Step-by-step explanation:
Slope is the "Rise" over the "Run" of a line. The rise is the change in y. The run is the cange in x. Take any two points. I picked (0,3) and (4,9) since they were clearly on whokle number lines. The rise is (9-3) or 6. The run is (4-0) or 4. Rise/Run = 6/4 or 1.5. The y intercept is at 3 (the value of y when x=0). The full line equation is thus y = 1.5x+3.
_____13. Public opinion polls are only estimates because (A) random digit dialing has replaced person-to-person interviewing. (B) all surveys have a sampling error. (D) samples of fewer than one million people are too small. (E) opinion polls have been deemed ineffective by political candidates.
Answer:
(B) all surveys have a sampling error.
Step-by-step explanation:
EXAMPLE 4
If m.25 = 82, find each measure.
a. M21 -
e. m.26
LM210
b.m.22
1. m.27
J. 211
1/7 2/6 319
10
11 6/12
c.m.3
9. M.28
km212 =
d. 24
hm.29
EXAMPLE 5
Ifm.212 121° and m.2675°, find each measure.
a.m21
e. m.25
Lm.210
b. m.22
t.m.27
Jm211
70
10
13 14
11/12
c.m.3
km.213
g. 28
d.m24
hm.29
L214 =
EXAMPLE
Ifm.27 - 38° and m210 = 102, find each measure.
a. mZ1 =
..MZ6
km213
10
b. m.22
g.M.ZB
Lm.214 =
c.m.23
h. m29
m.m415
13 14
16
d.m24
I. m211 =
n. 216
e. m.25
J. M212=
I m.22 41, m.2594, and m.210 = 109, find each measure,
EXAMPLE 7
a. mZ1 =
d. m.26
9. m29
b.MZ3 =
c.m.27 -
c. m.24
1. M.Z8 =
Answer:
thank You for your points rhis is the answer kf
3x - 5y = 4
-2x + 6y = 18
Answer:
From 1st eqn .,
3x=4+5y
X=4+5y/3
From 2nd eqn ..,
-2x+6y=18
-2(4+5y/3)+6y=18
-8+10y/3 +6y=18
-8+10y+18y/3=18
-8+28y/3=18
-8+28y=54
28y=54+8
y=62/28
y=31/14
Therefore the value of y is 31/14
Again,
Putting the value of y in ..
X=4+5y/3
=(4+5*31/14)/3
=(211/14)/3
=211/42
Step-by-step explanation:
So the value of X and y is 31/14 &211/42 respectively.
Plz mark me brainest .
Answer:
x=14:25;convert to whole number 14:y=7:75; convert to whole number is 7
Step-by-step explanation:
using determiner method {x=3and-2;y=5and6}=4and18; solution cross multiple 3×6-5×6=general determiner is 28; to solve for x exchange for the number for x with the number outside which is 4;18
A boy who weighs 66 Ib on earth 10.92 Ib on the moon.
How much will a man who weighs 185 Ib on earth weigh on the moon?
2,020.2
40.2
30.6
720.72
Answer: 30.6 in the moon
Darren made strawberry jam and raspberry jam. He made enough strawberry jam to fill 3 3/8 jars. If he made 3 5/6 times as much raspberry jam as strawberry jam, how many jars will the raspberry jam fill? Write your answer as mixed number
Answer:
Harry would have made 1 and 1/2 jars of raspberry jam
Step-by-step explanation:
Hope this helps
Raspberry jam can fill [tex]12\frac{15}{16}[/tex] jars when the quantity of raspberry jam is [tex]3\frac{5}{6}[/tex] times as strawberry jam .
Given, that strawberry jam has filled 3 3/8 jars.
Multiplication: It is the basic mathematical operation among division, addition and subtraction.
The number of jars of strawberry jam is [tex]3\frac{3}{8}[/tex] jars.
The number of jars of raspberry jam is [tex]3\frac{5}{6}[/tex] times of the number of jars of strawberry jam.
So,
[tex]3\frac{3}{8} \times 3\frac{5}{6}[/tex]
[tex]= \frac{27}{8} \times \frac{23}{6}\\ \\= 207/16\\\\= 12\frac{15}{16}[/tex]
The number of jars of raspberry jam is [tex]12\frac{15}{16}[/tex] .
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