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Solve using the Quadratic Formula for 2x2 + 5x – 3 = 0
x = -5, 7
b. X = -12,2
X = -3,42
Answers
Step-by-step explanation:
[tex] \tt{2 {x}^{2} + 5x - 3 = 0}[/tex]
⇢ [tex] \sf{2 {x}^{2} + 5x + ( - 3) = 0}[/tex]
Here , a = 2 , b = 5 & c = -3 {a is the coefficient of x² , b is the coefficient of x and c is the constant term }
Now ,
[tex] \tt{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }[/tex]
⇢ [tex] \tt{x = \frac{ - 5± \sqrt{ {5}^{2} - 4 \times 2 \times ( - 3) } }{2 \times 2} }[/tex]
⇢ [tex] \sf{ x= \frac{ - 5±7}{4} }[/tex]
Taking positive ( + ) sign :
⇝[tex] \tt{x = \frac{ - 5 + 7}{4} = \frac{1}{2}} [/tex]
Taking negative ( - ) sign :
⇝[tex] \tt{x = \frac{ - 5 - 7}{4} = - 3}[/tex]
[tex] \purple{ \boxed{ \boxed{ \tt{⤑ \: Our \: final \: answer : \boxed{ \underline{ \tt{x = \frac{1}{2} , \: - 3}}}}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night♡
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Related Questions
please answer this question
Answers
Answer:
C, The marble is 3 times as likely to be black as it is to be white.
Step-by-step explanation:
The probability of a marble being drawn is:
number of marbles of that color/total number of marbles
Find total number of marbles
5+8+4+15= 35
So the probability of drawing:
white: 5/32
polka dot: 8/32
striped: 4/32
black: 15/32
The probability of drawing white, polka dot, or striped is obviously different, so A is wrong.
The probability of drawing every color but black is 5/32 + 8/32 + 4/32 = 17/32, which is more than the chance of drawing black, so B is wrong.
The probability of drawing black is 15/32, and that is 3 times larger than the probability of drawing white (5/32), so C is correct.
The probablility of drawing a polka dot is 8/32, which is not four times as large as stripe (4/32), so D is wrong.
What is the slope of each line? Line A: y = negative 5 x minus 2 Line B: y = 2 x + 3
Answers
Line B slope is 2
Simplify x^−7. Write your answer using only positive exponents.
Answers
x-7 Is how you simplify
Positive form is 1/x/7
Please helppppp it’s due soon and I’m already failing my class!!!
Answers
Answer:
For an equation like:
y = a*x + b
a is the slope, and this is the rate of change of the function.
For the case of the problem, we know that the equation represents the amount of oxygen in the spaceship as a function of time. Where as the time passes, the quantity of oxygen decreases.
Then the slope is the rate of change that tells how the quantity of oxygen changes as time passes. Then the slope is the amount of oxygen that is consumed per unit of time.
The lifetime for a certain type of tre has been shown to be five years the mean) with a standard deviation of 6 months. In a normal distribution, what percentage of these tires will
last more than six years (more than two standard deviations above the mean)?
Answers
Answer:
2.28%
Step-by-step explanation:
mean = 5 years = 60 months
standard deviation = 6 months
X = number of years the tires will last
P = probability of ...
z = z-score
6 years = 72 months
z = (# of months - mean) / standard deviation
z = (72 - 60)/6
z = 12/6
z = 2
P(X > 72) = 1 - P(X < 72)
= 1 - P(z < 2)
(using a Standard Normal Probabilities Table we can see that P(z < 2) = .9772)
So:
= 1 - .9772
= 0.0228 OR 2.28%
12,400 x one and one fifths. Will the product of this equation be less than or greater than 12,400? EXPLAINNNNN YOUR REASONING PLZZZZ
Answers
Answer:
The product of this equation will be greater than 12,400Step-by-step explanation:
Make this an expression
12,400x1 1/5
Now, Solve this expression
-make 1 1/5 an improper fraction
12,400x 6/5
-multiply the numerators by the numerators and the denominators by the denominators... remember that a whole number's decimal is always 1
12,400/1 x 6/5
12,400x6= 74400
1x5=5
74400/5= 14880
Is 14880 less than or greater than 12400? It is greater.
7. Find the circumference of a circle whose diameter is 3.2 meters. Round to the nearest tenth.
A. 32.2 m
B. 8.0 m
C. 10.0 m
D. 5.0 m
Answers
Answer:
C. 10.0 m
Step-by-step explanation:
[tex]C=2\pi r[/tex]
radius is half of diameter
[tex]r = \frac{d}{2} \\r=\frac{3.2}{2} \\[/tex]
[tex]C= 2 (3.14) \frac{3.2}{2}[/tex]
[tex]C= (3.14)3.2\\C=10[/tex]
M is a multiple of 26. Which of the following cannot be true?
A. M is odd
B. M is a multiple of 3
C. M is 26
D. M is zero
Answers
Please help help help help help im having trouble with this problem what is the answer
Answers
Hope this helps. Also, cool pfp.
Mr Martin has 120 CDs. The ratio of indie CDs to dance CDs is 5:7. How many of each type of CDs does he have.
Answers
Answer
Martin has 50 indie CDs and 70 dance CDs
Step-by-step explanation:
5+7=12 120/12 =10 10x5=50 and 10x7=70 So Martin has 50 indie cds and 70 dance CDs
2y - 6x = 10
What’s the y intercept and slope and how do I rearrange them in the y=Mx+b form?
Answers
Answer:
Slope/m=3, y-intercept=5
Step-by-step explination
2y-6x=10
Factor out the common term of two
2y/2-6x/2=10/2 /=dividing
y-3x=5
Add 3x to both sides
y-3x+3x=5+3x
Simplify
y=5+3x
To get the slope-intercept form (y=mx+b)
y=3x+5
2x - 4y = 9, What is it you need to know to be able to solve this problem?
Answers
Answer:
What X and Y equal to.
Answer:
you need to know math, and some more math. thats really the answer
Step-by-step explanation:
SOMEONE HELP NOW IM ON A TIMED TEST
Margo's hybrid car uses 56 of a gallon of gas for every mile that Margo drives. Margo
drove her car 200 miles to visit her aunt. When she left her house the car's gas tank
was full. When she arrived at her aunt's house the gas tank contained 8 gallons of gas.
She did not stop for gas along the way.
Which equation represents the number of gallons of gas, y, in the car's tank after
Margo drives the car x miles?
Answers
Answer:
It is C
Step-by-step explanation:
(3,6)
(3,-3)
What is the slope
Answers
Answer:
The slope is 3. Thats what my friend said
Step-by-step explanation:
Please help ASAP !!!
Answers
Please mark BRAINLEST
What is the y intercept of the following equation 3x-2y=4
Answers
Answer:
(0, -2)
i am pretty sure this is the answer
Please help me i struggle lots on this topic
Answers
Answer:
slope = 0
Step-by-step explanation:
remember slope is just rise (change in y) over run (change in x) and since there's no change it has a zero slope, which applies to any horizontal line parallel to the x axis
(this is just me trying to explain slopes, separate from the question you put) if the right most point was 1 higher (5,7) instead of (5,6) then the slope would be 1/2 because to get from (5,7) to (3,6) you move up 1 and over 2
Use the discriminant to determine the number and type of solutions for the equation x^2+49=14x
(A). This equation has 1 real solution and one imaginary solution because the discriminant is negative.
(B). This equation has 2 imaginary solutions because the discriminant is negative.
(C). This equation has 2 real solutions because the discriminant is positive.
(D). This equation has 1 real solution because the discriminant is 0.
Answers
Answer:
d is the answer
Step-by-step explanation:
What number is 2/5 of 50
Answers
= 100/5
= 20
I dont understand 2/5 of 50
İf 50.2/5
[tex]50. \frac{2}{5} = 50 \div 5 = \frac{2}{5 \div 5} = 10.2 = 20[/tex]
İf 2/5 /50
[tex] \frac{\frac{2}{5} }{50} = \frac{2}{5} . \frac{1}{50} = \frac{2 \div 2}{5} . \frac{1}{50 \div 2} = \frac{1}{5} . \frac{1}{25} = \frac{1}{125} = 0.008[/tex]
Pawl,colin and bria are waiters. One night the restaurant earns tips totalling £78.40 the share the tips in the ratio 2.1.5 how much more does Brian get over colin
Answers
Answer: Brian gets $39.2 more over Colin.
Step-by-step explanation:
Given: Total tip amount = £78.40
The ratio of the share of tips for Pawl, Colin and Bria is 2:1 :5.
Let tip amount for Pawl = 2x, tip amount for Colin = x , tip amount for Bria = 5x
Then, 2x+x+5x= 78.40
[tex]\Rightarrow\ 8x = 78.40\\\\\Rightarrow x=\dfrac{78.40}{8 }\\\\\Rightarrow x=9.8[/tex]
Tip for Colin = $ 9.8 , Tip for Bria = 5($9.8)= $49
Difference = $(49-9.8) = $ 39.2
Hence, Brian gets $39.2 more over Colin.
At a bicycle shop, all the bicycles are on sale for $25 off the regular price. If p represents the regular price in dollars of a bicycle, which expression gives the sale price in dollars? 25p – 25p p – 25 p + 25
Answers
Answer:
p - 25
Step-by-step explanation:
Given :
Discount = 25 dollars off
Regular price = p
Sale price in dollars :
Regular price - discount
p - 25
CRÍTICAL THINKING Can you use the Product of Powers Property to
multiply 5^2 x 6^4 ? explain
HELP Please
Answers
Answer:
The answer for that equation is 32400
Step-by-step explanation:
Answer:
No because their bases are not the same
Step-by-step explanation:
The expression (2x2)3 is equivalent to _____.
a.6x2
b.6x5
c.8x6
Answers
Answer:
A
Step-by-step explanation:
(2x2)3
= (4)3
=12
6x2 = 12
So the answer is A
(2x2)3
^
(4)3
^
12
And 6x2=12
jada made 10 cups of blueberry jam and divided the jam equally among 6 containers. how much jam went into each container
Answers
Answer:
3/5 or 0.6
Step-by-step explanation:
i dont really get the question, but 6+4= 10.
. Water in a 10 gallon tank is draining at a rate of 2 gallons per hour. Water in a separate tank is filling at a rate of 4 gallons per hour. How long until the tanks have the same amount of water?
Answers
Answer:
Step-by-step explanation:
Water in a 10 gallon tank is draining at a rate of 2 gallons per hour.
= 10 - 2x
Water in a separate tank is filling at a rate of 4 gallons per hour.
= 10 + 4x
Equating both Equations together
10 - 2x = 10 + 4x
10 - 10 = 4x - 2x
How long until the tanks have the same amount of water?
Let the time = x
Paulo sells 249 medium pumpkins for $8 each and 84 large pumpkins for $14 each. How much money does Paulo collect selling the medium and the large pumpkins
Answers
Answer: $3,168
Step-by-step explanation:
Paulo sells 249 medium pumpkins for $8 each. The money Paulo makes from this is:
= 249 * 8
= $1,992
Paulo also sells 84 large pumpkins for $14. The money made is:
= $1,176
Total from selling both is:
= 1,992 + 1,176
= $3,168
Marie added 3 1/8 cup of all-purpose flour and 1/4 cup of whole wheat flour in the cake. She added 1/3 cup of sugar at also, how much flour she added in the cake ?
Answers
Answer:
3 [tex]\frac{3}{8}[/tex]
Step-by-step explanation:
Maria only combined two different types of flour to the cake. Therefore, in order to find the total amount of flour she added we need to add these measurements together. First, we need to find a common denominator. We do this by multiplying the numerator and denominator of the amount of whole wheat flour by 2. This would be the easiest way of giving us the same denominator as the measurement for the all-purpose flour.
[tex]\frac{1 * 2}{4 * 2}[/tex] = [tex]\frac{2}{8}[/tex]
Now that we have the same denominators we can simply add both measurements together
3 [tex]\frac{1}{8}[/tex] + [tex]\frac{2}{8}[/tex] = 3 [tex]\frac{3}{8}[/tex]
Help me please. Id appreciate it greatly
Answers
Answer:
1.39
2.4/5
3. 4/5t+39
4. 4
5.4/3
6.4/3g+4
i hope i got this right.
Help it’s due now! Please
Answers
Answer:
44
Step-by-step explanation:
Substitute the values for the variables.
5(8) + 12/3
40 + 4 = 44
The polynomial 5x — 4x² + 3 — 2x³ is in standard form.
True or False.
Answers
Answer:
False.Answer = -2x³ - 4x² +5x +3MARK ME AS A BRAINLIST AND FOLLOW ME