Answer:
Always true
Step-by-step explanation:
Here, we want to evaluate if the given statement is true
The discriminant D can be calculated using the formula;
b^2 - 4ac
if D is greater than 0, then we will have only real roots
In a case where a and c are of opposite signs;
then -4ac will always give a positive value which can be added to b^2
This positive value will ensure that D is greater than zero and hence we can have only real roots
So this assertion is always true if a and c are of opposite signs
The ratio of boys to girls in 6th grade is 2:3, if there were 65 students in the class, how many girls are there? How many boys are there?
Answer:
26 boys and 39 girls
Step-by-step explanation:
if you were to divide 65 by 5 then you would get 13. all you have to do is add 13 + 13 and you would get the number of boys. for the girls you add 13 + 13 + 13.
Tantasic charges a reservation fee of 20$ and $1 per minute in a tanning bed. Bettersun charges no reservation fee but charges 2$ per minute. How many minutes will the price be the same
Answer:
The indifference point is 20 minutes
Step-by-step explanation:
Giving the following information:
Tantasic:
Reservation fee of 20$ and $1 per minute
Bettersun:
2$ per minute.
First, we need to structure both total cost formulas:
Tantasic= 20 + 1x
Bettersun= 2x
x= number of minutes
Now, we equal both formulas and isolate x:
20 + 1x = 2x
20 = 1x
20= x
The indifference point is 20 minutes
Select all ratios equivalent to 7:2 ?
Answer: 14:4 , 21:6 , 28:8 , 35:10
Step-by-step explanation:
The average attendance of a yearly Winter Wonderland exhibit at an amusement park is 2.8 × 10 5 people. How many people can be expected to attend over 4 years?
Answer:
1120000 attendees
Step-by-step explanation:
Given that:
Yearly Average attendance = 2.8 * 10^5 people
How many attendees can be expected to attend over 4 years
Average Yearly attendees * 4
(2.8 * 10^5) * 4
= 2.8 * 4 * 10^5
= 11.2 * 10^5
= 1120000 attendees
hope this pic helps.enjoy
A ream of paper contains 500 sheets, and a case of paper contains 10 reams. An office supply store gets a delivery of 400 cases. How many sheets of paper are in the delivery? Express your answer in scientific notation.
Answer:
2,000,000 or 2x10^6
Step-by-step explanation: Multiply the total number of sheets in a ream times the total number of reams in a case times the number of cases.
The trail starts at P(−7, 6) and goes to Q(4, 6). It goes from Q to R(4, −6) and then to S(6, −6). What is the total length (in units) of the biking trail?
We know, distance between two points A( p,q) and B(r,s) is given by :
[tex]AB=\sqrt{(p-r)^2+(q-s)^2}[/tex]
So, distance between P an Q is :
[tex]PQ=\sqrt{(-7-4)^2+(6-6)^2}\\\\PQ=11\ units[/tex]
Distance between Q and R is :
[tex]QR=\sqrt{(4-4)^2+(6-(-6))^2}\\\\QR=12\ units[/tex]
Distance between R and S is :
[tex]RS=\sqrt{(4-6)^2+(-6-(-6))^2}\\\\RS=\sqrt{4}\\\\RS = 2\ units[/tex]
Therefore, total distance is 11 + 12 + 2 = 25 units.
Hence, this is the required solution.
Drag the numbers below to put them in order from least to greatest:
-19 -12 -13 9 -4 -1
A student has some $1 and $5 bills in his wallet. he has a total of 15 bills that are worth $51. How much of each type of bill does he have?
Answer:
# of 5 dollar bills: 9
# of 1 dollar bills: 6
Step-by-step explanation:
9•5 = 45
1•6 = 6
To Check: 45 + 6=51
what is the slope of the graph?
Answer:-6
Step-by-step explanation:
WILL GIVE BRAINLIEST !!!
Find the equation of the line. Use the exact numbers.
Equation: y = __x + __
Answer:
Step-by-step explanation:
y=2/3x+4. 4 is the y intercept. 2/3 is the slope. y=mx+b where m is the slope and b is the y intercept
Describe the end behavior of a 9th degree polynomial with a negative leading coefficient??
Answer:
Up left, down right
Step-by-step explanation:
First, polynomials with odd degrees will have end behaviors in two different directions.
Since the leading coefficient is negative, the end behavior will be up left and down right.
So, the end behavior is up left, down right.
The end behavior of a 9th-degree polynomial with negative leading coefficients is up left, downright.
We have to determine
The end behavior of a 9th-degree polynomial with a negative leading coefficient??
What is a negative leading coefficient?If the leading coefficient is negative and the exponent of the leading term is even, the graph falls to the left and right.
What is the equation of 9th-degree polynomial?
The equation of the 9th-degree polynomial is;
[tex]\rm x^9+3x^8+4x^7+x^6+x^5+9x^3+2x^2+x+1=0[/tex]
The degree of the polynomial is 9 which is odd.
Hence, the end behavior of a 9th-degree polynomial with negative leading coefficients is up left, downright.
To know more about Polynomial click the link given below.
https://brainly.com/question/17822016
what is the avrage of 4.1 ,6 ,1.3 6.5 ,1.6
Answer:
3.36
Step-by-step explanation:
4.1 +6 +1.3+6.5 +1.6=16.8
16.8/5=3.36
In order to get the answer you add everything up and then divide from the amount of numbers there are.
What is the answer to this pre-algebra equation 7x+10=3x+120
Answer:
=[tex]\frac{55}{2}[/tex]
Answer ASAP Brainliest and 22 Points!
Answer:
Step-by-step explanation:
1. 5x+8-7x=4x+1 2.
5x-7x+8=4x+1
2x+8=4x+1
-2x+8=4x+1
-2x+8-8=4x+1-8
-2x-8=4x-7
6x=-7
x=7/6
Find the value of x.
(5x + 5)
5( x + 1)
I hope this helps:)
The populations of Cities A and B are 1.6 x 10^5 and 1,070,000, respectively. The population of City C is twice the population of City B. The population of City C is how many times the population of City A?
Answer:
13
Step-by-step explanation:
First find the population of city c 1,070,000 times 2 = 2140000
Round 2140000 to the nearest hundred thousands = 2,100,000
Third find how many places the decimal moves which is 6 places
Fourth scientific notation of 2,100,00 is 2.1 times 10^6
Fifth divided city c by the population of city a
2.1x 10^6 divided by 1.6 x 10^5
2.1 / 1.6 rounded is 1.3
10^6 divided by 10 ^ 5 is 10
Therefore 2.1 x 10^6 divided by 1.6 divided by 10^5 equals 1.3 times 10 = 13
The population of city c is about 13 times the population of city a
How many quaters are in 4 and 3 over 4
Answer:
19
Step-by-step explanation:
If you're asking how many quarters in 4 3/4
In 1 there are 4 quarters so do 4 multiplied by the 4 quarters which is 16. In 3/4 we have 3 quarters so 16 add the 3 is 19.
There are screws, nuts and bolts in a tool box. The ratio of the number of
Screws to the number of nuts to the number of boits is 2:3:7. The
difference between the number of nuts and the number of bolts is 112.
Find the number of each item
Answer:
Step-by-step explanation:
56:84:196 would be the answer
HELP!!!!! I will gove brainliest
Answer:
what do u need help on?
Step-by-step explanation:
i don't know what u need help with
what is 12 to the power of 0 simplified?
Step-by-step explanation:
the answer is 1
x^0 = 1
12^0 = 1
im not that sure
There was 4/5 of a cake sitting on the counter. Daryl ate 1/3 of the left over cake. How much cake was left over after he ate?
Answer:
0.46 is the left over 23/50 is the fraction
What is the solution to this system of linear equations?
x + y = 4
x − y = 6
Answer:
x=5 , y= -1
Step-by-step explanation:
You can see that one of the y's is negative while the other is positive, so you can add them together.
Now, negative 1 + positive 1 = 0, so the y's cancel out leaving only the x's.
Remember you can't add one part without adding the other so x+x = 2x, and 4+6=10. This makes the final equation 2x=10.
You can simplify that into x=5. This gives you the answer for x
Then substitute x=5 into any of the two equations (doesn't matter) I'll use the first one. So if you substitute it you get 5+y=4.
Simplified, y= -1
Therefore, x= 5 and y=-1
Answer:
(5,-1)
Step-by-step explanation:
Got it right on edge cause of the guy above me
Find the value for x
Can somebody help me?
Please
Answer:
1-7 2-6 3-6 4-4
Step-by-step explanation:
To do this, you must notice that all of these are isosceles triangles (2 of the sides are the same.) You already have 1 value on each triangle, and the length of that side is the same length as the side with the unknown value, so those are the correct answers. If I made a mistake, please correct me. Everybody makes mistakes.
i am in need of assistance
price of 1 kg sugar is rupees 104.25 find the price of 50 kg
Answer:
5,212.5 rupees
Step-by-step explanation:
If price of 1 kg is 104.25
multiply 50 by 104.25
equals 5,212.5 rupees
Answer:
5212.50 rupees
Step-by-step explanation:
We can use a ratio
1 kg 50 kg
----------- = ---------------
104.25 x
Using cross products
1x = 50 * 104.25
x =5212.50 rupees
What single decimal multiplier would you use to decrease by 7% followed by a 20% decrease?
Answer:
13 percent
Step-by-step explanation:
Single decimal multiplier used to decrease by 7% followed by a 20% decrease is 0.744.
What is decimal multiplier?A percentage multiplier is a number which is used to calculate a percentage of an amount or used to increase or decrease an amount by a percentage. In order to use a percentage multiplier to calculate the percentage of an amount, convert the percentage to a decimal by dividing by 100 ; this is the decimal multiplier.
Given,
First decrease = 7%
Second decrease = 20%
Let a number be x.
If x is decreased by 7% then the value of the number is
( (100 - 7) / 100) × x = 0.93 x
Again if 0.93 x is decreased by 20% then the value of the number ((100 - 20) /100) × 0.93 x = 0.744 x
Hence, The single decimal multiplier is 0.744.
Learn more about decimal multiplier here:
https://brainly.com/question/16992894
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Anyone know this pls help ill give brainliest :)
Answer:
30, 40, 60, 70,
Step-by-step explanation:
pattern by 10
For 3=30
4=40
6=60
7=10
Calculate the slope
50-20/5-2
10
IF YOU HAVE ANSWER PLEASE ANSWER
The math teacher said, "Please ___ each expression on the board. Show your work so that I can see how you found the value."
its ether evaluate, operation or commutative
Simplify the following surd expressions.
a) 5 square root of 5 - 2 square root of 5
b) 8 square root of 7 + 3 square root of 7
Answer:
A=3√5
B=11√7
Step-by-step explanation:
5√5-2√5
5-2√5
3√5
B) 8√7+3√7
8+3√7
11√7
............................... 6/2(1+2)
Answer:
9
Step-by-step explanation:
6/2(1+2)
=3*3
=9
Answer:
6
Step-by-step explanation:
6/2 is 3 and 1+2 is three and 3 + 3=6