Answer:
The value of the discriminant is 84.
i.e. b²- 4ac = 84
As
b²- 4ac > 0
Therefore, there are two distinct real number zeros.
Step-by-step explanation:
We know that the discriminant of the quadratic equation ax²+bx+c=0 is equal to b²- 4ac.
We also know that:
When b²- 4ac = 0 there is one real root.When b²- 4ac > 0 there are two real roots.When b²- 4ac < 0 there are two complex roots.We are given
f(x) = 3x² + 12x + 5
comparing with the quadratic function ax²+bx+c=0
a = 3, b = 12, c = 5
Discriminant = b²- 4ac
= (12)²-4(3)(5) ∵ a = 3, b = 12, c = 5
= 144 - 60
= 84
Thus, the value of the discriminant is: 84
As
b²- 4ac > 0
Therefore, there are two distinct real number zeros.
Marisol drove 3 hours from City A to City B. The equation below estimates the distance d, in
miles, Marisol traveled after driving for t hours.
d = 45t
Answer:
Step-by-step explanation:
D*RT
D=45*3
D=135
Marisol drove 135 MI.
The Marisol drove from City A to City B for 3 hours and distance covered is 135 miles .
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
According to the question
Marisol drove for from City A to City B = 3 hours
Equation below estimates the distance d, in miles for t hours.
d = 45t
now , substituting the value
d = 45 * 3
d = 135 miles
Hence, the Marisol drove from City A to City B for 3 hours and distance covered is 135 miles .
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CAN ANYONE PLEASE HELP ME FAST
choose one of the following percent's :25%, 40% or 60%. use a model and words to explain what the percent means. Write at least two fractions that represents your percent
Answer:
1/4 and 25/100 = 25%
2/5 and 40/100 = 40%
3/5 and 60/100 = 60%
Kelly saved 4/5% of her allowance. What is this percent expressed as a fraction and as a
decimal?
Fraction:
Decimal:
I will give brainiest to whoever answers correctly !!
The country's population decreased by about 2.4% during this time period.
Since we have given that
In 1990, the number of people = 167 million
In 2010, the number of people = 163 million
We need to find the percent decrease in the country's population during this time.
Percentage would be
New - Original x 100/original
= 163 - 167/167 x 100
= -4/167 x 100
=-2.39%
=-2.4%
Hence, the country's population decreased by about 2.4% during this time period.
Type of problem: Percentage decrease
Step 1: Find the difference between the two numbers
(Difference = original number - new number)
164,000,000 - 155,000,000 = 9,000,000
Step 2: Divide the difference by the original number
9,000,000 / 164,000,000 = 0.05487804878
Step 3: Multiply by 100 and round to find the percent
0.05487804878 x 100 = 5.48780487805
Round to one place = 5.5
Answer: 5.5% decrease in the population
Hope this helps!! :)
Given: а | b | c | d and KP = 24
FK
a
Find: KM =
what is 3x + 4y = -24 in standard form?
What is the value of x in the figure shown below?
С
4.7
D
42°
3.5
3.5
30
B
А A
4.7
=
Answer:
30 degrees
Step-by-step explanation:
It's a pateelogram so oppate angles are equal so
x = 30 degrees
Hope this helps :)
The measure of x is 30 degree.
What are parallel line?The fundamental characteristics listed below make it simple to recognise parallel lines.
Straight lines that are always the same distance apart from one another are called parallel lines.No matter how far apart they are from one another, parallel lines can never intersect.As, we know that the Property of Parallel line are:
Corresponding angle are Equal.
Alternate interior Angles are Congruent.
Vertical angles are Congruent.
As, per the figure we can see that
AB || CD
So, by Alternate Interior Angle
<DCB = <CBA
x = 30
Thus, the measure of x is 30 degree.
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You spent 25% of your monthly wages on rent. If you earned $75,350 last year,
how much did you spend on rent each month?
Determine whether or not the following graph represents two quantities that are proportional to each other. Explain your reasoning.
Answer:
Not proportional.
Step-by-step explanation:
The values do not begin from a straight line at the origin. X begins at 2, not the origin.
EMERGENCY!!!!
I have fallen and can't get up.
Answer:
do you need a bandaid?
Step-by-step explanation:
Step-by-step explanation:
Wth?
Are u okay??
call 911
which equation represents a line parallel to the y axis?
A: y=x
B: x=4
C: y=4
D: y=x+4
One-third of the total number of marbles in a jar are blue and green. There are 24 blue marbles and 18 green marbles. How many marbles are in the jar?
Answer:
126 marbles
Step-by-step explanation:
if 42 is 1/3 of the jar, times it by 3 and that's the total.
Answer:
126 marbles
Step-by-step explanation:
24 - blue
18 - green
42 are blue or green
let 't' = total number of marbles
1/3t = 42
t = 42 x 3 = 126
simplify 3x+7>x+2
[tex]simplify \: \: 3x + 7 \geqslant x + 2[/tex]
Answer:
x ≥[tex]\frac{-5}{2}[/tex]
Step-by-step explanation:
step(i):-
Given inequality
3x + 7 ≥ x +2
subtracting '2' on both sides, we get
⇒ 3x + 7 -2 ≥ x+2-2
⇒ 3 x + 5 ≥ x
subtracting 'x' on both sides, we get
3x +5 -x≥ x-x
⇒ 3x +5 -x ≥ 0
⇒ 2 x + 5≥ 0
Step(ii):-
subtracting '5' on both sides ,we get
2 x + 5 -5 ≥ 0-5
⇒ 2 x ≥ -5
⇒ [tex]\frac{2}{2} x\geq \frac{-5}{2}[/tex]
Final answer:-
⇒ x ≥[tex]\frac{-5}{2}[/tex]
1. Which of the following is an irrational number?
A. 3
B. 3.666...
C. 19
D. Vg
Answer:
Vg
Step-by-step explanation:
All the others are decimals
pls give thanks, 5 star, brainliest
PLZ HELP ME RIGHT NOW
Answer:
I don't know what the first one is but the answer to the second one is 4.
Step-by-step explanation:
Answer:
P= a+b+c
4 cm
Step-by-step explanation:
add all the sides
5+3=8
12-8=4
4= missing side
In a farm, ratio of number of cows to number of hens is 2:3. If the number of legs is 40 more than number of eyes, total of how many hens are there in the farm?
Answer:
30 hens, 20 cows.
Step-by-step explanation:
Step one:
let the number of cows be x
and the number of hens be y
Each cow has 2 eyes, each hen has 2 eyes also.
the total number of eyes is
2x+2y
Each cow has 4 legs, each hen has 2 legs.
the total number of legs is
4x + 2y
Step two:
the number of legs exceeds the number of eyes by 40:
4x+2y - (2x+2y) = 40
open bracket
4x+2y-2x-2y=40
4x-2x=40
2x=40
Divide both sides by 2
x=40/2
x=20
Step three:
we know also that x = 2/3*y, so y = 3/2*x = 3/2 * 20 = 30
30 hens, 20 cows.
Check:
60 + 40 eyes = 100, 60 + 80 legs = 140legs.
If 7x + 6 = 27, then x = ?
Answer:
^^^^^^^ you got it right;)
x=3
When do you use point slope form
Answer:
It can be used as a preference
Answer:
You use point-slope form when you know (or can determine) the slope and the coordinates of one point on the line.
Step-by-step explanation:
You use point-slope form when you know (or can determine) the slope and the coordinates of a point. So, either you are given the slope of the line and a point on the line, or you are given two points on the line and you use the points to determine the slope.
James can eat 12 jelly beans per minute, and Jenny can eat 8 jelly beans per minute. How
many minutes will it take Jenny and James to eat a combined total of 100 jellybeans?
Answer:
5 mins.
Step-by-step explanation:
hope his helps good luck
Answer:
5 minutes
Step-by-step explanation:
Select the correct answer. Which level of government relies the most on income tax?
Answer:
The Federal government relies the most on income tax.
Step-by-step explanation:
Suppose that quiz scores in a beginning statistics class have a mean of 6.6 with a standard deviation of 0.6. Using Chebyshev's Theorem, what is the minimum percentage of quiz scores between 4.8 and 8.4
Answer:
88.89%
Step-by-step explanation:
Calculation for what is the minimum percentage of quiz scores between 4.8 and 8.4
The calculated minimum percentage value of quiz scores between
First step is to calculate the lower k value using this formula
k=(x1−m)/s
Where:
x1 represent first random value 4.8
x2 represent second random value 8.4
m represent mean 6.6
s represent standard deviation 0.6
Let plug in the formula
k=(4.8−6.6)/0.6
k=−1.8/0.6
k=−3
Second step is to calculate the upper k value
k=(x2−m)/s
k=(8.4−6.6)/0.6
k=1.8/0.6
k=3
Now let calculate the minimum percentage
Using this formula
Minimum percentage=1−1/k^2
Let plug in the formula
Minimum percentage=1−1/3^2
Minimum percentage=1−1/9
Minimum percentage=1−0.1111
Minimum percentage=0.8889*100
Minimum percentage=88.89%
Therefore the minimum percentage of quiz scores between 4.8 and 8.4 is 88.89%
Answer:
75%
Step-by-step explanation:
5.2−6.40.6=−2 and 7.6−6.40.6=2.
This means that 5.2 lies 2 standard deviations below the mean and 7.6 lies 2 standard deviations above the mean.
According to Chebyshev's Theorem, at least 75% of data values lie within 2 standard deviations of the mean.
Therefore, we can say that 75% is the minimum percentage of quiz scores between 5.2 and 7.6.
Find the slope of the line that passes through (3,-7) and (-6,5).
Answer:
9,12?
Step-by-step explanation:
x + 2 + (1.5x -6) =16 what is X
Answer:
8+2+(1.5*8-6)
Step-by-step explanation:
8=x
Answer:
x = 8
Step-by-step explanation:
x + 2 + (1.5x - 6) = 16
2.5x - 4 = 16
2.5x = 20
x = 20/2.5
x = 8
A frozen yogurt shop has a combination of 150 small and medium sized bowls on their counter. Each small bowl hold 4 ounces and each medium bowl holds 6 ounces. If the bowls on the counter will hold a total of 764 ounces, find the number of small and medium sized bowls on the counter
The number of small sized bowls on the counter = 68 bowls
The number of medium sized bowls on the counter = 82 bowls
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of small bowls on the counter be = x
Let the number of medium bowls on the counter be = y
The total number of bowls is = 150
So , the equation will be
x + y = 150 be equation (1)
The amount the small bowl can hold = 4 ounces
The amount the medium bowl can hold = 6 ounces
The total amount of all the bowls on the counter = 764 ounces
So , the equation will be
4x + 6y = 764 be equation (2)
Now , on simplifying the equation (1) and equation (2) , we get
Multiply equation (1) by 4 , we get
4x + 4y = 600 be equation (3)
Subtracting equation (3) from equation (2) , we get
2y = 164
Divide by 2 on both sides , we get
y = 82
Therefore the number of medium sized bowl is 82 bowls
Substituting the value of y in equation (1) , we get
x + y = 150
x + 82 = 150
Subtracting 82 on both sides , we get
x = 68
Therefore , the number of small sized bowl is 68 bowls
Hence ,
The number of small sized bowls on the counter = 68 bowls
The number of medium sized bowls on the counter = 82 bowls
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Drag the point A to the location indicated in each
scenario to complete each statement.
Answer:
The answer is...
1: quadrant III
2: quadrant II
3: quadrant IV
4: quadrant I
Step-by-step explanation:
If A is in quadrant |, and is multiplied by a negative scalar C, CA is in Quadrant |||, If A is in quadrant ||, and is multiplied by a positive scalar C, CA is in Quadrant ||, If A is in quadrant ||, and is multiplied by a negative scalar C, CA is in Quadrant |V and If A is in quadrant ||I, and is multiplied by a negative scalar C, CA is in Quadrant |.
What is Coordinate system?Coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points.
The point A to the location indicated in each scenario.
If A is in quadrant |, and is multiplied by a negative scalar C, CA is in Quadrant |||
If A is in quadrant ||, and is multiplied by a positive scalar C, CA is in Quadrant ||
If A is in quadrant ||, and is multiplied by a negative scalar C, CA is in Quadrant |V
If A is in quadrant ||I, and is multiplied by a negative scalar C, CA is in Quadrant |.
Hence, A is in quadrant |, and is multiplied by a negative scalar C, CA is in Quadrant |||, If A is in quadrant ||, and is multiplied by a positive scalar C, CA is in Quadrant ||, If A is in quadrant ||, and is multiplied by a negative scalar C, CA is in Quadrant |V and If A is in quadrant ||I, and is multiplied by a negative scalar C, CA is in Quadrant |.
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What’s the answer? I have to pass with my credits for high school
Which description is paired with its correct expression?
Four less than the quotient of a number cubed and seven 4 - n3/7 + 3
Five times the difference of a number squared and six 5(6 - n2)
Nine more than the quotient of six and a number cubed decreased by 4 9 + n3/6 - 4
Twice the difference of nine and a number squared 2(9 - n2)
I think it’s D
Please help
Answer:
D.
Step-by-step explanation:
Hi there! You’re correct.
Twice the difference of nine and a number squared would look like
[tex]2(9-n^2)[/tex]
I hope this helped! :)
Help plzzzz I need it
Answer:
D
Step-by-step explanation:
The answer is D because when you look at an ordered pair it is (x , y) the x stands for x-axis and y for y-axis. The x numbers are the ones on the bottom line going horizontally across your screen and the y numbers are the ones on the left side of the graph going up and down. Therefore when you are looking at (1.5 , 9) you start on the bottom line and go to 1.5 then go strait up to 9 on the line on the left and thats where the point is! Hope this helps, let me know if somthing doesn't make sense!
Sports
Movie
13
Yes
64 customers pay for satellite
television.
Basic
They all have the Basic package
for £26.40 per month.
Some also have
• the Sports package for £27.30 extra per month
the Movie package for £19 extra per month.
The frequency tree shows the number
of customers with each package.
64
In total, how much per month do
the 64 customers pay?
us
21
.
Yes
No
8
No
6
Yes
+
43
No
37
Total marks: 4
Convert the following repeating decimal into a fraction. *
___
2.111
Answer: i think that the only fraction that we can convert this into is 2111/1000
Answer:
[tex]\frac{2111}{1000}[/tex]
Step by step:
2.111 = [tex]\frac{2.111}{1}[/tex]
then, get rid of the decimal sign in 2.111 by multiplying it by 1000 since there are 3 numbers after the decimal point.
your new fraction is [tex]\frac{2111}{1000}[/tex]