Answer:
B
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 )
Then the discriminant is
Δ = b² - 4ac
• If b² - 4ac > 0 then 2 real irrational roots
• If b² - 4ac > 0 and a perfect square then 2 real rational roots
• If b² - 4ac = 0 then 1 real double root
• If b² - 4ac < 0 then 2 complex roots
Given
x² + 3x - 7 = 0 ← in standard form
with a = 1, b = 3, c = - 7 , then
b² - 4ac
= 3² - (4 × 1 × - 7) = 9 + 28 = 37
Since b² - 4ac > 0 then 2 real irrational roots
Which equation represents a line that passes through the two points in the
table?
OA.y-1-(x-1)
B. y-6-(x-5)
OC. y+6=(x+5)
OD. y+1-2/(x+1)
X
1
5
сл
y
1
6
Answer:
A
Step-by-step explanation:
Plug in both point values into each of the equations and see if the LHS = RHS.
Only eq A satisfies for both points
eq B satisfies for point (5,6) but not for (1,1)
Equations C and D satisfy for neither point
The equation of the straight line passing through the points (1, 1) and (5, 6) is 4y = 5x - 1.
What is the general equation of straight line?The general equation of a straight line is -
y = mx + c
Here {m} is the slope which also denotes the unit rate. Unit rate is the rate at which the value of {y} changes per unit change in the value of {x}.
Given is the table as shown in the figure.
The line passes through the points (1, 1) and (5, 6). We can write the slope of the line as -
m = (6 - 1)/(5 - 1)
m = 5/4
So, we can write the equation as -
y = 5x/4 + c
For the point (1, 1), we can write -
1 = 5/4 + c
c = 1 - 5/4
c = (4 - 5)/4
c = -1/4
So, the equation will be -
y = 5x/4 - 1/4
y = (5x - 1)/4
4y = 5x - 1
Therefore, the equation of the straight line passing through the points (1, 1) and (5, 6) is 4y = 5x - 1.
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Which expression represents twice the sum of w and 6?
A) 2 +6w
B) 20 + 6
C) 20 + 60
D) 2 (w+6)
QC 261
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A discount store buys a shipment of playground slides at a cost of $290 each. The playground
slides will be sold for $783 apiece. What is the mark-up, as a percentage?
Write your answer using a percent sign (%).
The mark-up for the playground slides is 170%. The mark-up refers to the price added to the cost to find out the selling price of a product.
Mark-up is the difference between the selling price and cost price of a product.It is usually represented as a percentage, the mark-up percentage is calculated over the cost of the product. In other words we can say that mark-up is the profit gained from selling a particular product. Here it is said that the cost of a playground slide is $290 and the selling price of the playground slide is $783. We need to find the mark-up percentage of the playground slide.
Mark-up %=[tex]\frac{selling price-cost}{cost}[/tex]×100=[tex]\frac{783-290}{290}[/tex]x100=[tex]\frac{493}{290}[/tex]x100=170%
Therefore the mark-up percentage of the playground slide is 170%.
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what is 1(0b+10a) ???????????????????
Answer:
10b+10a
Step-by-step explanation:
Answer:
The answer is 10a
Step-by-step explanation:
(1)(0b+10a)
=(1)(0b)+(1)(10a)
=0+10a
=10a
Hope this helps :)
Susan is buying juice for a party. She wants to buy as many bottles of juice as possible, but she only has $10.00 to spend. If each bottle of juice costs $1.35, how can Susan calculate the number of bottles that she can buy?
A.Divide $10.00 by $1.35, and round the quotient down to the nearest whole number.
B.Divide $10.00 by $1.35, and round the quotient up to the nearest whole number.
C.Divide $1.35 by $10.00, and round the quotient down to the nearest whole number.
D.Subtract $1.35 from $10.00, and round the difference down to the nearest whole number.
GIVING BRAINLIEST
Answer:
A
Step-by-step explanation:
Answer:
A because $10 needed to be divided by $1.35 and and the rounding is needed to get the answer
On a coordinate plane, a line is drawn from point J to point K. Point J is at (1, negative 10) and point K is at point (7, 2). What is the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1? y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1 –8 –5 0 6
Answer:
5
Step-by-step explanation:
lol
Answer:
the answer is c 0
Step-by-step explanation:
2 Thessalonians 3:16
Now may the Lord of peace himself give you peace at all times and in every way. The Lord be with all of you.
jesus loves you!!!
Could someone help with this math question
Answer:
The last choice {80, 88, 200}
Step-by-step explanation:
If you solve for p, it will be p>64 which means p should be bigger than 64. 80, 88, 200 are the only numbers that all of them could be bigger than 64.
Which of the following could be the lengths of the three sides of a triangle?
A.1 cm, 2 cm, 3 cm
B.3 in., 3 in., 7 in.
C.4 ft, 8 ft, 12 ft
D.5 cm, 7 cm, 9 cm
its b
Step-by-step explanation:
cuz to sides are the exact same then one side is bigger than the others :)
Solve the system, enter as an ordered triple. Need HELP!!
This means x = 2, y = 3 and z = 1
========================================================
Work Shown:
Double everything in the second equation to get 4x-2y+4z=6
Add this result to the first equation
[tex]x+2y-4z = 4\\4x-2y+4z = 6\\5x+0y+0z = 10[/tex]
The first two lines of that expression above shows us adding x+2y-4z=4 to the equation 4x-2y+4z = 6
The x terms add to x+4x = 5x
The y terms add to 2y+(-2y) = 0y
The z terms add to -4z+4z = 0z
The terms on the right hand side add to 4+6 = 10
That's how we end up with the new equation 5x+0y+0z = 10
That becomes 5x = 10 which solves to x = 2 when we divide both sides by 5.
------------------------
Use this x value in the third original equation to find z
3x-8z = -2
3(2)-8z = -2
6-8z = -2
-8z = -2-6
-8z = -8
z = -8/(-8)
z = 1
------------------------
Use the x and z values we found to find y
x+2y-4z = 4
2+2y-4(1) = 4
2+2y-4 = 4
2y-2 = 4
2y = 4+2
2y = 6
y = 6/2
y = 3
----------------------
Overall we get the solutions to be x = 2, y = 3 and z = 1
We can say the solution as an ordered triple is (x,y,z) = (2,3,1)
the median of 4 numbers is 48
3 of the numbers are:
42, 51, and 52
what is the other number
When 3 among four numbers are 42,52,52 and their median is 48 then the fourth number is 45.
What is Median?
Median is the middle number when the given numbers are arranged in ascending or descending order, basically it divides the data into two halves the one is higher half another is lower half of the data.
For even numbers of data we find median by first arranging the data in ascending order then we take average of the two middle terms.
Given that among 4 numbers three are 42,51,52
Assume that the fourth no be x and also Assume that it is among the middle two numbers as median is given 48 to find this number?
Then the data arranged in ascending order is
42,x,51,51
Median=
[tex]\frac{x+51}{2} =48\\x+51=96\\x= 45[/tex]
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Find the length of each side of an equilateral triangle with perimeter 57
inches.
Answer:
19
Step-by-step explanation:
57 divided by 3 is 13
Answer:
one side is 19 inches
Step-by-step explanation:
57 / 3 = 19
since it is an equilateral triangle the sides are equal so you can just divide by 3
The map of a walking trail is drawn on a coordinate grid with three points of interest. The trail starts at R(−2, 4) and goes to S(3, 4) and continues to T(3, −1). The total length of the walking trail is ____ units. (Input whole numbers only.)
Answer:
32 cm
Step-by-step explanation:
PLEASE HELP FAST ILL MARK AS BRAINLIEST
Answer:
the last one
Step-by-step explanation:
The graph of y = 2x2 is shifted 8 units down on a coordinate grid. What are the roots of the equation that correspond to the new graph?
Answer:
x=2 or x=-2
Step-by-step explanation:
Answer: correct answer is A! -2 and 2
Step-by-step explanation:
f(x) = 2x³ + 7x² - 4x - 5
g(x) = 3x - 2
Find (f - g)(x).
The value of (f-g)(x) is 2x³ + 7x²-7x-3.
As we know that, the composition of functions is the criteria of combining two or more functions into a single function. A function represents some work. The combination of two or more function always results in a new function.
Given that, f(x) = 2x³ + 7x² - 4x - 5 and g(x) = 3x - 2 and we have to calculate the value of (f - g)(x).
Suppose h(x) = (f - g)(x)
Now, we simply have to solve (f - g)(x), let's proceed to solve
= (f - g)(x)
= f(x)-g(x)
= 2x³ + 7x² - 4x - 5-(3x-2)
= 2x³ + 7x² - 4x - 5-3x+2
= 2x³ + 7x²-7x-3
h(x) = (f - g)(x) = 2x³ + 7x²-7x-3
∴ (f - g)(x) = 2x³ + 7x²-7x-3
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If $8000 is invested at 5% compounded quarterly , what is the amount after 6 years?
I can’t figure out the answer
Answer:
x=-7
tep-by-step explanation:
the line is on the x axis on -7
a figure is made of to rectangular prisms what is the volume?
Answer:
why did u delete my comment
Step-by-step explanation:
The monthly rents (in dollars) paid by 9 people are given below.
(Note that these are already ordered from least to greatest.)
851, 935, 980, 985, 1005, 1025, 1050, 1080, 1665
Send data to calculator
Suppose that one of the people moves. Her rent changes from $1665 to $1170.
Answer the following.
(a) What happens to the mean?
(b) What happens to the median?
○ It decreases by $
O It increases by
O It stays the same.
O It decreases by
O It increases by
O It stays the same.
Answer:
It decreases by $
Step-by-step explanation:
It decreases by $ is the correct answer.
Answer:
A - Mean is decreased by 55$
B - Median stays the same.
A sample of 40 CDs from a student's collection showed a mean length of 52.74 minutes with a standard deviation of 13.21 minutes. Construct a 95% confidence interval for the population standard deviation. (Round your answers to 4 decimal places.) The 95% confidence interval is from to .
Answer:
(48.65, 56.83)
Step-by-step explanation:
Given that :
Sample size (n) = 40
Mean (m) = 52.74
Standard deviation (s) = 13.21
α = 95%
Confidence interval around sample mean can be obtained using the relation :
Mean ± Zstatistic * s/√n
Z score for 95% confidence interval = 1.96 (Z probability calculator)
s / √n = 13.21 / √40 = 2.0886843
Lower limit of confidence interval :
52.74 - (1.96 * 2.0886843) = 48.646178772 = 48.65
Upper limit of confidence interval :
52.74 + (1.96 * 2.0886843) = 56.833821228 = 56.83
Please help me this is 7th grade math all you have to do is find the slope for the graph if it is right i will give you brianliest
Answer:
-10/2 or -5 for the slope
Step-by-step explanation:
rise over run: it's going down 10 and over 2 or
for every 5 down it goes 1 over
Rewrite 14 1/3 as an improper fraction
Answer:
Step-by-step explanation:
((14×3) + 1 )/3 = (43/3)
14 1/3 can be expressed as 43/3, which is an improper fraction.
To rewrite 14 1/3 as an improper fraction, we need to convert the mixed number into a fraction.
First, we multiply the whole number (14) by the denominator of the fraction (3) and add the numerator (1). This gives us the numerator of the improper fraction. The denominator remains the same.
14 × 3 = 42
Next, we add the numerator (1) to the result we obtained above.
42 + 1 = 43
Therefore, the improper fraction equivalent to 14 1/3 is 43/3.
In the fraction 43/3, the numerator (43) represents the total number of parts we have, and the denominator (3) represents the size of each part. It indicates that we have 43 equal parts of size 1/3.
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Roster form : {8,12,16}
The Roster form of { 8,12,16 } is {X;X=4k ,k ∈ (2,34)}
Roster form:
A set's roster notation is a straightforward mathematical representation of the set. The elements (or members) of a set are listed in a row inside the curly brackets in the roster form. If the set contains more than one element, each pair of elements is separated by a comma symbol. Because the enumeration is done one by one, the roster form is also known as the enumeration notation.
Given a set in a set builder form i.e.{ 8,12,16 } and asked to convert into Roster form
Roster form of { 8,12,16 } ={X;X=4k, k ∈ (2,34)}
Therefore,The Roster form of { 8,12,16 } is {X;X=4k, k∈ (2,34)}
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Lin's family has completed 60% of a trip.They have traveled 30 Miles. How long is the whole trip?
Answer:
40 miles
Step-by-step explanation:
100 - 60 = 40. 40%
60 ÷ 30 = 2. 2 miles = 10%
10 * 4 = 40
3х — 7y = 21
6x = 14y + 42
Solve each system of equations using elimination (⚠️ I will give you brainliest if you answer correctly!‼️⚠️)
The typical amount of sleep per night for college students can be assumed to be normally distributed with a mean of 7 hours and a standard deviation
of 1.2 hours. From the Standard Deviation Rule, we know that about 95% of the college students typically sleep between:
A 5.8 and 8.2 hours per night
B 4.6 and 9.4 hours per night
C 6 and 8 hours per night
Dit is impossible to determine the answer from the given information.
Answer:
B 4.6 and 9.4 hours per night.
Step-by-step explanation:
I need help plzzzzzzzzzzzz. I need you guys to show work too
Answer:
22
Step-by-step explanation:
—Math√(x+3) –4 = 1
√(x+3) = 1 +4
√(x+3) = 5
x + 3 = 5²
x = 25 –3
x = 22
Answer all of these and I will give you 35 points!!!!!!!!!!!!!!!!!!!!!
9. LCM of 9, 12, and 15 is 180
12. LCM of 15, 18, and 30 is 90
15. LCM of 40 and 1 is 40
16: factors of 24 : 1,2,3,4,6,8,12, and 24
17: factors of 63 : 1, 2, 4, 8, 16, 32 and 64.
18: factors of 50 : 1, 2, 5, 10, 25, and 50
19: LCM of : 3 , 2 , 7 is 42
20: LCM of : 15 , 2 is 30
21: LCM of : 45, 30 is 90
PLEASE HELP FOR ALGEBRA I’M FAILING :(
Are
12/20
and
equivalent fractions?
22/30
Α. No
B. Yes, because both fractions are divisible by 2
C. Yes, because the difference between the denominator and numerator in each fraction is 8.
D. Yes, because they can both be simplified
Answer:
Step-by-step explanation:
No because 12/20 is not lower form of 22/30