Before doing the question, let's recall the quadratic formula which is used to find the roots of a quadratic equation ;
For any quadratic equation of the form ax² + bx + c = 0 , it's roots are given by the quadratic formula as :
[tex]{\boxed{\bf{x=\dfrac{-b\pm \sqrt{D}}{2a}}}}[/tex]Where , D = b² - 4ac (Discriminant)
Now , simplifying the equation :
[tex]{:\implies \quad \sf -3\{(x)^{2}+2^{2}-2\times 2\times x\}+17=0\quad \qquad \{\because (a-b)^{2}=a^{2}+b^{2}-2ab\}}[/tex]
[tex]{:\implies \quad \sf -3(x^{2}+4-4x)+17=0}[/tex]
[tex]{:\implies \quad \sf -3x^{2}-12+12x+17=0}[/tex]
[tex]{:\implies \quad \sf -3x^{2}+12x+5=0}[/tex]
Dividing both sides by -1 will yield :
[tex]{:\implies \quad \sf 3x^{2}-12x-5=0}[/tex]
Now , it's in the form of the standard quadratic equation , where a = 3 , b = -12 , c = 5 , and D = (-12)² - 4 × 3 × -5 = 144+60 = 204
Now, By quadratic Formula ;
[tex]{:\implies \quad \sf x=\dfrac{-(-12)\pm \sqrt{204}}{2\times 3}}[/tex]
[tex]{:\implies \quad \sf x=\dfrac{12\pm 2\sqrt{51}}{2\times 3}}[/tex]
[tex]{:\implies \quad \sf x=\dfrac{\cancel{2}(6\pm \sqrt{51})}{\cancel{2}\times 3}}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{x=\dfrac{6\pm \sqrt{51}}{3}}}}[/tex]
Deon set a goal to ride his bicycle
310 miles in a month. He has biked
145 miles so far. If there are 4 days left
in the month, about how many miles
should Deon ride each day to reach his
goal? Explain.
Answer:
it could be 42.25
Step-by-step explanation:
I know this because 310-145=165/4=42.25
(you MIGHT need to round it)
The numbers 38 and 41 are rounded to the nearest ten and then multiplied to estimate the product. What is the best estimate of 38 × 41 based on this method?
1,200
1,600
2,000
2,500
The numbers 38 and 41 are rounded to the nearest ten and then multiplied to estimate the product. What is the best estimate of 38 × 41 based on this method?
1,200
1,600
2,000
2,500
What is the product of 21 × 3?
21
24
60
63
Yusef wants to buy 20 pairs of sneakers to donate to a local shelter. Each pair costs $23. How much money will Yusef spend on all the sneakers?
$100
$200
$360
$460
The product of 42 × 31 is
.
A basketball team has 22 games this season. At each game, 95 raffle tickets are sold. How many raffle tickets are sold during all 22 games?
1,900
1,980
2,080
2,090
Carter rewrites 28 × 2 in expanded form to find the product.
28 × 2
= (20 × 2) + (8 × 2)
What is the next step to find the product?
adding the product of 20 × 2 to the product of 8 × 2
subtracting the product of 20 × 2 from the product of
8 × 2
multiplying the product of 20 × 2 by the product of 8 × 2
dividing the product of 20 × 2 by the product of 8 × 2
What is the product of 33 × 2?
31
33
60
66
What is the product?
57 × 4
228
232
240
285
Marta has 128 stamps. Kelli has 11 times as many as Marta. Marta estimates the total they have altogether by rounding each amount to the nearest ten and then multiplying.
What is the best estimate of 128 × 11 using this method?
1,200
1,300
1,408
1,508
pls hurry first one right gets brainlist
Answer:
Jeez this is a big question
Step-by-step explanation:
1. if they are rounded to the nearest 10 that would mean that it is actually
40 * 40
40 * 40 is 1600. The answer for #1 is 1600
2. its just asking what 21 x3 is, 21x3 is 63
3. All you do for this is 20*23
20 * 23 is 460
4. 42 * 31 is 1302
5. 22 * 95 = 2090
6. You do 20x2 which is 40 and then you do 8x2 which is 16
Adding
then you have 40 + 16 = 56
Subtracting
40 - 16 = 24
Multiplying
40 * 16 = 640
Dividing
40/16 = 2.5
7. 33x2 is 66
8. 57* 4 is 228
9. 128 * 11 is 1408 but if you round the 11 to the nearest 10, that would be 10, then if you round the 128 to the nearest 10, that would be 130, and then 130 * 10 is 1300
38 × 41 can be estimated by rounding 38 and 41 to the nearest ten, which gives us 40 and 40. Multiplying these two numbers gives us 1600. So the answer is 1,600.
21 × 3 is equal to 63.
How to solveYusef wants to buy 20 pairs of sneakers to donate to a local shelter. Each pair costs $23. How much money will Yusef spend on all the sneakers? The answer is $460.
The product of 42 × 31 is 1,262.
A basketball team has 22 games this season. At each game, 95 raffle tickets are sold. How many raffle tickets are sold during all 22 games? The answer is 2,090.
Carter rewrites 28 × 2 in expanded form to find the product.
28 × 2
= (20 × 2) + (8 × 2)
The next step to find the product is to multiply the product of 20 × 2 by the product of 8 × 2.
= 20 × 2 + 8 × 2
= 40 + 16
= 56
What is the product of 33 × 2? The answer is 66.
What is the product?
57 × 4
= 228
Marta has 128 stamps. Kelli has 11 times as many as Marta. Marta estimates the total they have altogether by rounding each amount to the nearest ten and then multiplying.
What is the best estimate of 128 × 11 using this method? The answer is 1,300.
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help asap will mark brainliest to the correct answer and 5 star it
Answer:
50°
Step-by-step explanation:
The missing angle would equal the formula:
180°- a - b= x
a and b are the two angles given.
180- 110 -20 = 50
So the missing angle is 50 °
state the two transformations shown in the attachment please be specific!!
HELP QUICK!!
Answer: The attachment isn't loading,
Step-by-step explanation: Try again / post the question again
write an equation for line in slope intercept form ?
Step-by-step explanation:
the standard slope-intercept form is
y = ax + b
the factor of x (here "a") is always the slope of the line. b is the y-intercept (the y value when x = 0).
the slope of the other line is 5/6.
ok.
perpendicular to this means in a right angle (90°).
and that means that the fraction of "y coordinate change / x coordinate change" turns upside-down, and the sign has to flip.
so, the slope of our line is then -6/5.
and b ?
we use the given point.
1 = -6/5 × -9 + b = 54/5 + b
5/5 = 54/5 + b
b = -49/5
and our line equation is
y = (-6/5)x - 49/5
Help me please please
Answer: 2052
Step-by-step explanation: 684 times 3 equal to 2052
Write and graph an equation that represents the total cost in dollars) of renting the bounce house. Let H represent number of hours and C represent the total cost in dollars) of the rental.
How much does it cost to rent the bouncy house for 6 hours?
Answer:
C= $25 x 6 = $150
Step-by-step explanation:
1.) 10 + 8 ÷ 2 ( 4 + 3 )
2.) 21 ÷ ( 1 ) ( 3 ) + 0 - 14
Answer:
1) 38
2) 49
Step-by-step explanation:
1) 10 + 8 ÷2（4 + 3）
Knowing Pemdas, we do the expression in the parentheses first.
4+3 = 7
The new expression is: 10 + 8 ÷ 2 · 7
Using Pemdas, 8 ÷ 2 is 4.
10 + 4 · 7
10 + 28 = 38.
The answer to #1 is 38.
2) 21 ÷ ( 1 ) ( 3 ) + 0 - 14
21 ÷ 1 = 21
21 · 3 = 63
63 + 0 = 63
63 - 14 = 49
The answer to #2 is 49.
The graph to the left shows the cost, in dollars, of gasoline per gallon of gas.
Cost of Gasoline
Select ALL of the statements which are correct.
Answer:
correct statements are #1,3,5
Step-by-step explanation:
second check box represents the cost of 7 gallons
fourth check box is incorrect because the unit price of gas is 3 dollars for each gallon
Frank has $156.87 he spends $21.58 to buy a gift for his sister he also earned $45.50 how much does he have now?
Answer:
$89.79
Step-by-step explanation:
156.87-21.58-45.5 = $89.79
The angles of a triangle are in a ratio 1:3:8. What are the angles?
Answer:
15° , 45°, 120°
Step-by-step explanation:
sum the parts of the ratio, 1 + 3 + 8 = 12 parts
the sum of the 3 angles in a triangle = 180° , then
180° ÷ 12 = 15° ← value of 1 part of the ratio, then
3 parts = 3 × 15° = 45°
8 parts = 8 × 15° = 120°
the 3 angles are 15° , 45° , 120°
Solve the system of equations:
X+y+z=5
-3x-4y+4z=15
2x-y-4z=-8
Answer:
Solution By Gauss jordan elimination method
x = 3, y = 2 and z = 4
The three angles of a triangle are presented as the
monomials 4x,6x, and 2x. Find the measure of each angle
and then classify the triangle accordingly.
Answer:
Step-by-step explanation:
4x+6x+2x=180
12 x=180
x=180/12=15
angles are 4×15=60°,6x=6×15=90°,2x=2×15=30°
so angles are 60°,90°,30°
it is a right angled triangle.
What is the quotient? PLEASE HELP QUICK
Answer:
[tex]\frac{1}{5^{9} }[/tex]
Step-by-step explanation:
[tex]\frac{5^{-6} }{5^{3} }[/tex]
Rewrite [tex]5^{3}[/tex] as [tex]5^{-6}[/tex] × [tex]5^{9}[/tex]. Cancel out [tex]5^{-6}[/tex] in both numerator and denominator.
= [tex]\frac{1}{5^{9} }[/tex]
Hope it helps and have a great day! =D
~sunshine~
Answer:
[tex]\mathrm{The\:first\:option}:\quad\dfrac{ 1 }{ { 5 }^{ 9 } }[/tex]
Step-by-step explanation:
[tex]\dfrac{ { 5 }^{ -6 } }{ { 5 }^{ 3 } }[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \dfrac{ { x }^{ a } }{ { x }^{ b } } = { x }^{ a-b }[/tex]
[tex]= { 5 }^{ -6-3 }[/tex]
[tex]\mathrm{Subtract\:the\:numbers:}\:-6-3=-9[/tex]
[tex]=5^{-9}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:{ a }^{ -b } = \dfrac{ 1 }{ { a }^{ b } }[/tex]
[tex]\dfrac{ 1 }{ { 5 }^{ 9 } }[/tex]
So the correct answer would be:
[tex]\mathrm{The\:first\:option}:\quad\dfrac{ 1 }{ { 5 }^{ 9 } }[/tex]
In a village 200 persons out of 450 were found to be alcoholic. Can you conclude that minority of persons in this village are alcoholic assuming the persons being alcoholic and non-alcoholic are equal?
Step-by-step explanation:
Step 1 total number of person =450
Step 2 number of people who are alcholic =200
Step 3 now subtract them like: 450 - 200
Answer=200 people are non alcholic
Can someone help please
Answer:
1=1/2
2=8 times the square root of 3 over 25 8xsuare root 3/25
3=16
4=7 times square root of 3 over 4 7x square root 3/4
5=square root of 2 over 2
6=square root 3
7=square root 2
8=1/3
9=10/7
Step-by-step explanation:
you can also use algebrator square root calculator!!
Write 425% as a fraction or mixed number in simplest form.
Answer:
17/40
here! hope this helps!
If a book and a pen together cost $11 and the book is $10 more than the pen, how much does the pen cost? Show solution please
Answer:
50 cents
Step-by-step explanation:
Since 1 dollar is too much, then try 50 cents. Then it worked.
The bookshelf is 6 feet tall how many yards is the bookshelf
Answer:
1 yard is equal to 3 feet
6 feet(total)
___________ = 2 yards
3 feet(equal to one yard)
How many times greater is one gallon than one quart. PLEASE HELP ME
Answer:
4 quarts constitute for 1 gallon.
Let's convert quarts into gallon.
Explanation: A quart contains 4 cups or 2 pints while a gallon contains 16 cups or 8 pints. Hence, a liquid gallon is equal to 4 liquid quarts.
Step-by-step explanation:
[tex]hope \: it \: helps \: you[/tex]
What is 4 divided by 1/8
Hello.
First, let's convert 4 into a fraction.
Here's how we do it:
[tex]\mathrm{4=\displaystyle\frac{4}{1} }[/tex]
Now, what is [tex]\displaystyle\frac{4}{1}[/tex] divided by [tex]\displaystyle\frac{1}{8}[/tex]?
In order to figure that out, we need to flop the second fraction over:
[tex]\displaystyle\frac{4}{1} : \frac{8}{1}[/tex]
Now, multiply:
[tex]\mathrm{\displaystyle\frac{4}{1} *\frac{8}{1} }[/tex]
[tex]\mathrm{\displaystyle\frac{32}{1} }[/tex]
[tex]\mathrm{32}[/tex]
Therefore, the final answer is [tex]\mathrm{32}[/tex].
I hope this helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
A quantity with an initial value of 3700 decays exponentially at a rate of 6% every 5
minutes. What is the value of the quantity after 36 minutes, to the nearest
hundredth?
Answer:
2369.86
Step-by-step explanation:
f(36)=3700(1−0.06) ^36/5
2369.857704098921
The value of the quantity after 36 minutes is approximately 3701.5.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
We can use the formula for exponential decay to find the value of the quantity after 36 minutes:
[tex]A =A_{0} e^-^r^t[/tex]
where:
A₀ = initial value = 3700
r = decay rate per unit time = 6% = 0.06
t = time in minutes
We want to find A after 36 minutes, so:
t = 36
Substituting these values into the formula, we get:
[tex]A = 3700e^(^-^0^.^0^6^\times^ 3^6^/^5)[/tex]
A=3701.5
Therefore, the value of the quantity after 36 minutes is approximately 3701.5.
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1. The area of a circle is 60 square units. What is the area of ...
of the circle.
50% of the circle
Multiply the area of the circle by the percentage:
60 square units x 50% = 60 x 0.50 = 30
50% 0f the circle id 30 square units.
HELP ME I WILL GIVE BRINLEST
Answer:
9 and 1 fourths
Step-by-step explanation:
Answer:
10 9/16
Step-by-step explanation:
For this equation, we are going to need to multiply these mixed numbers to get our answer. The quickest and easiest way to solve this would be to turn these mixed numbers into improper fractions.
(Important:) To make an improper fraction, multiply the denominator by the whole number, then add the numerator. This becomes your new numerator for your improper fraction.
With that said, we can now turn these into improper fractions. So:
3 1/4 = 13/4 and 13/4.
To find area, we need to multiply L x W (length x width) to get our answer. So:
13/4 x 13/4 = 169/16 = 10 9/16.
I hope that this helps.
what is the value of F
Answer:
-15
Step-by-step explanation:
A student is preparing to enroll in a private college in 3 years. The first year of tuition will cost $4,500. What is the minimum amount the student will need to save every month in order to pay for the first year of tuition?
A) $125 6
B) $1,500
C) $375
D) $29
The minimum amount the students are A) $125 will need to save every month in order to pay for the first year of tuition.
What are the minimum students?
Assuming that the student will save the same amount every month for three years to cover the first year of tuition, we need to find the monthly savings needed to accumulate $4,500 in 36 months.
$4,500 ÷ 36 months = $125
Therefore, the student needs to save $125 every month to pay for the first year of tuition in three years.
So, the answer is A) $125.
What is tution?
Tuition refers to the fee charged by educational institutions, such as schools, colleges, and universities, for the instruction and education they provide. It is the cost that students must pay in order to attend and receive an education from these institutions. Tuition fees vary depending on the type of institution, the program of study, and the location. Some institutions may also offer financial aid or scholarships to help students pay for their tuition.
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Complete question is: A student is preparing to enroll in a private college in 3 years. The first year of tuition will cost $4,500, the minimum amount the students are A) $125 will need to save every month in order to pay for the first year of tuition.
Write an equation based on the graph.
what is the 40th term of the arithmetic sequence 13, 26, 39, 52
Answer:
your answer would be 520
Step-by-step explanation:
13 x 40 = 520
Choose the property that is displayed the equation below: (a + b).c= c.(a + b) a+b
Answer:
I think maybe associative property of addition?
What is the slope and y-intercept? 20 points!!
Answer:
Slope: 1/2
Y-int: -4
[tex]\tt slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
point 1 = -1,-6
point 2 = 0,-4
slope:
[tex]\tt \dfrac{-4+6}{0+1}=2[/tex]
y intercept when x = 0, so y intercept from table = -4
