Answer:
a postulate
Step-by-step explanation:
a postulate which states that through any two points, there is exactly one line
Yes indeed. That is so. Your statement is a fact. It virtually pulsates with veracity and truthiness. You can take it to the bank and hang your hat on it. Truer words are seldom written or spoken.
Do you have a question to ask ?
can please solve this? x⁴+2x³-13x²+24=0
Answer:
1. x = 4
2. x = 2
3. x = -1
4. x = -3
Step-by-step explanation:
1. (x4)-(2•(x3)))-13x2)+14x)+24 = 0
2. ((x4) - 2x3) - 13x2) + 14x) + 24 = 0
3. Find roots (zeroes) of : F(x) = x4-2x3-13x2+14x+24
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is 24.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,3 ,4 ,6 ,8 ,12 ,24
Find the median, lower quartile, and upper quartile for the set of data.
4, 1, 11, 8, 2, 9, 7, 6, 10, 5
Answer:
The median is 2 lower quartile is 11 and upper quartile is 6
Step-by-step explanation:
hope this helps
Factoring each polynomial 4x^3+ 8x^2+ 12x
Answer:4x(x^2+2x+3)
Step-by-step explanation:
there are 15 students 8 seniors and 7 juniors on the yearbook club. Two of them will be selected to meet with the yearbook printer. What is the probability that One will be a senior and one will be a junior
Answer:
4 / 15
Step-by-step explanation:
The total number of ways 2 students can be picked is 15 * 14 = 210 because you have 15 students to begin with and after you pick one, you're left with 14 more to choose from.
The total number of ways a senior and a junior can be picked is 8 * 7 = 56 because there are 8 seniors and 7 juniors.
The probability will then be 56 / 210 = 4 / 15. Hope this helps!
There is 13 of a gallon of water in a small fish tank. To clean the tank, Ray pours the water into two smaller bowls. How many gallons of water does Ray pour into each bowl?
Answer:
6.5 gallons
Step-by-step explanation:
if u see we have to divided 13 by 2 to see how much each bowl will have
13/2= 6.5 gallons
I opened a grocery account at my bank with $250. Every week thereafter, I withdraw $90 from the account to pay for groceries. If x is the number of weeks I've had the account, then y is the amount in the account. Find an equation of a line in the form y = mx + b that describes my grocery account balance.
Answer:
y= -90x+250
Step-by-step explanation:
From the information given, the equation would be that the amount in the account would be equal to -90 that is the amount you withdraw from the account each week multiply for x that is the number of weeks plus $250 that is your initial balance:
y= -90x+250, where
y= amount in the account
x= number of weeks.
Which expression is a factor of x2 +2x - 15 A. (x - 3) B. (x + 3) C. (x + 15) D. (x - 5)
Answer:
A. (x - 3)
Step-by-step explanation:
x^2 +2x - 15
Factor
What 2 numbers multiply to -15 and add to 2
5*-3 = -15
5 -3 =2
(x+5)(x-3)
find the volume of the prism
Answer:
The volume is 3360
Step-by-step explanation:
L X H x W
12* 28* 10= 3360
Your welcome
8 more than the quotient of a number and 3 is equal to 5
Answer:
8+ n/3=5
Step-by-step explanation:
Just rewrite the problem using words.
Answer:
I believe the answer would be 8+x÷3=5
The annual median income for a registered nurse is $65,000. The annual median income for a registered dietitian is $54,000. Over 20 years, how much more than a registered dietitian can a registered nurse earn?
Answer:
$220,000
Step-by-step explanation:
Given;
The annual median income for a registered nurse = $65,000
The annual median income for a registered dietitian = $54,000
The difference in the annual income of the registered dietitian from Nurse;
d = 65,000 - 54,000
d = $11,000
In 20 years, the cumulative difference in their earnings is;
Td = 20 × $11,000
Td = $220,000
Therefore, in 20 years the registered nurse will earn $220,000 more than the registered dietitian.
1. (a) The sum of two numbers is 17. The difference between twice the larger number and three times the smaller is 4. Find the numbers
Answer:
Denoting 2 desired numbers: x and y, then:
x + y = 17
2x = 3y + 4
<=>
x = 17 - y
2*(17 - y) = 3y + 4
<=>
x = 17 - y
34 - 2y = 3y + 4
<=>
x = 17 - y
5y = 30
<=>
y = 6
x = 17 - 6 = 11
Hope this helps!
:)
If sin theta <0 and tan theta >0 then:
Answer:
Step-by-step explanation:
If the sine is negative then theta must be in Quadrant III or Quadrant IV.
If the tangent is positive then theta must be in Quadrant I or III.
If both conditions must be satisfied, then we conclude that thera is in Quadrant III.
Note that [tex]\tan\theta=\frac{\sin\theta}{\cos\theta}.[/tex] Thus, if [tex]\sin\theta<0[/tex] and [tex]\tan\theta>0,[/tex] then we must have [tex]\cos\theta<0[/tex] as well. The sine function is negative when [tex]\theta[/tex] lies in Quadrant III or IV, and the cosine function is negative when [tex]\theta[/tex] lies in Quadrant II or III. Thus, the two are both negative when [tex]\theta[/tex] lies in Quadrant III, or [tex]\pi+2\pi n<\theta<\frac{3\pi}{2}+2\pi n[/tex] for integer values of [tex]n.[/tex]
Can someone help me with this please
Answer:
Here you go :)
Step-by-step explanation:
1. w = 25
2. y = 7
3. x = 7
What are the solutions of the equation x4 + 95x2 – 500 = 0? Use factoring to solve. x = plus-or-minus StartRoot 5 EndRoot and x = ±10 x = plus-or-minus i StartRoot 5 EndRoot and x = ±10i x = plus-or-minus StartRoot 5 EndRoot and x = ±10i x = plus-or-minus i StartRoot 5 EndRoot and x = ±10
Answer:
* x ⇒ plus-or-minus StartRoot 5 EndRoot and ±10i *
Step-by-step explanation:
Through factorization;
x^4 + 95x^2 – 500 = 0, ⇒ u^2 ⇒ x^2,
u^2 + 95u - 500 = 0, ⇒ factors of -500; -25, 20, -50 * 10, -2 * 250, -5 * 100...
( u )^2 + ( - 5 + 100 ) + ( - 5 * 100 ) = 0,
( u - 5 )( u + 100 ) = 0,
u = 5, and y = - 100
Substitute u back into format x^2;
u = x^2, 5 = x^2, | x | = √5 ⇒ x = - / + √5,
u = x^2, - 100 = x^2, | x | = √- 100 ⇒ x = - / + 10i
* Answer: x ⇒ plus-or-minus StartRoot 5 EndRoot and ±10i *
A equation in form of [tex]ax^{2} +bx+c=0[/tex] is known as quadratic equation.
Solutions of given equations are [tex]x=\pm\sqrt{5}[/tex] and [tex]x=\pm10i[/tex]
Given equation are, [tex]x^{4} +95x^{2} -500=0[/tex]
Substitute [tex]x^{2} =m[/tex] in above equations. So, equation become
[tex]m^{2}+95m-500=0\\\\m^{2}+100m-5m-500=0\\\\m(m+100)-5(m+100)=0\\\\(m-5)(m+100)=0\\\\m=5,m=-100[/tex]
So, [tex]x^{2} =5,x=\pm\sqrt{5}[/tex]
[tex]x^{2} =-100,x=\pm10i[/tex]
Learn more:
https://brainly.com/question/1214333
Daje naj Rozwiąż zadanie uztwajac równań .Według przepisu na zalewę do ogórków potrzeba zrobić czteroprocentowy roztwór soli. Jeżeli pani Maria ma trzy kilogramy wody, to ile musi dodać soli, żeby otrzymać taki roztwór?
How many bases does a triangular prism have?
Answer:
two bases
............
Wayne Gretzky holds the NHL record for the most points scored In a career. He scored 2857 points in 1487 games. a. Calculate his average points per game b. At this rate,how many more points might he have scored if he had played 79 more games?
Answer:
Step-by-step explanation:
a) The formula for determining average is expressed as
Average point per game = number of points scored/total number of games played
Average point per game = 2857/1487 = 1.92
b) if he had played 79 more games, since his average point per game is 1.92, then the number of points that he might have scored would be
1.92 × 79 = 95 points
The total number of points would have been
2857 + 95 = 2952 points
Answer:
a. 1.92
b. 152
Step-by-step explanation:
Wayne Gretzky had 2857 points in 1487 games.
a. His average points per game can be determined by dividing the total number of points by number of games. So that:
average points per game = [tex]\frac{2857}{1487}[/tex]
= 1.92132
Therefore, he scored an average of 1.92 (2 d.p) points per game.
b. The number of points he would have scored having played 79 more games can be determined by multiplying the points for 79 more games by his average points.
His points for 79 more games = 79 × 1.92132
= 151.78428
He would have scored 152 (3 s.f) more points if he had played 79 more games.
Sasha uses 7.4 pints of blue paint and white paint to paint her bedroom walls. 3 4 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?
Answer:
1.775 pints of white paint
Step-by-step explanation:
1) Find out how much blue paint was used
In order to do that, we must figure out what is three-fourths of 7.4...
[tex]7.4(\frac{3}{4} ) = 5.625[/tex]
That means that Sasha used 5.625 pints of blue paint.
2) Find out how much white paint was used
In order to do that, we must subtract the amount of blue paint (5.625) from the total amount of paint (7.4)...
7.4 - 5.625 = 1.775
That means that Sasha used 1.775 pints of white paint.
I hope this helps!
Answer:
1.775 white paint would be the answer
The coin is flipped one more time. A tree diagram has been started for you to represent the possible outcomes. Determine the results from another coin flip. What is the probability that the coin lands heads up all three times?
Answer:
1/8
Step-by-step explanation:
Answer:
1/8 or option A for edge 2020
Step-by-step explanation:
I got it right in the warm up ^^
Hope this helps!!
Please help!
You roll a 6-sided die two times.
What is the probability of rolling a number less than 4 and then rolling an odd number?
Write your answer as a percentage.
Answer:
(25%)
Step-by-step explanation:
12√4=3√1=3=25%
The solution of 2x -3=7
Answer: x = 5
Step-by-step explanation: To solve for x, we must first isolate the term containing x which in this problem is 2x.
Since 3 is being subtracted from 2x, we add 3
to both sides of the equation to isolate the 2x.
On the left, the -3 and +3 cancel
out and on the right, 7 + 3 is 10.
So we have 2x = 10.
No we can finish things off by just dividing
both sides of the equation by 2.
On the left the 2's cancel and on
the right, 10 divided by 2 is 5.
So we have x = 5.
g(x) = x2 − 4, find g(5).
Answer:
6
Step-by-step explanation:
g(x) = x2 - 4
g(5)= 5(2) - 4
g(5)= 10 - 4
g(5)= 6
Have a great day
Answer:
6
Step-by-step explanation:
please help me i dont understand
Answer:
34÷x-7=y
Step-by-step explanation:
34÷x-7=y
Solve for all possible values of x.
√x-8-3=1
Ox= -4
O x = 8
O x = 12
Ox= 24
Answer:
x = 24
Step-by-step explanation:
[tex] \sqrt{x - 8} - 3 = 1 \\ \sqrt{x - 8} = 1 + 3 \\ \sqrt{x - 8} = 4 \\ squaring \: both \: sides \: \\ {( \sqrt{x - 8)} }^{2} = {4}^{2} \\ x - 8 = 16 \\ x = 16 + 8 \\ \huge \red{ \boxed{x = 24}}[/tex]
(x+y+2)(y+1). (Algebra nation)
Simplify using distributive property
xy+x+y^2+3y+2
Answer: xy+y2+x+3y+2
Step-by-step explanation: =(x+y+2)(y+1)
=(x)(y)+(x)(1)+(y)(y)+(y)(1)+(2)(y)+(2)(1)
=xy+x+y2+y+2y+2
=xy+y2+x+3y+2
assume that for a particular group of students, the event is a senior and is female are independent. If 30% of the students are seniors and 54% of the female what is the probability of being a male senior?
Answer:
c.
Step-by-step explanation:
P(male) = 100 - 54 = 46% = 0.46
P(male & senior) = 0.46 × 0.3 = 0.138
13.8 %
Answer:
C. 13.8%
Step-by-step explanation:
P(male) = 100 - 54 = 46% = 0.46
P(male & senior) = 0.46 × 0.3 = 0.138
= 13.8%
Use the quadratic function to predict y if x equals 7.
y = 2x2 – 3x + 3
Answer:
80
Step-by-step explanation:
[tex]f(7)=2(7)^{2} -3(7)+3[/tex]
[tex]= 2(49)-21+3\\=98-21+3\\=80\\[/tex]
An art store buys a painting for $210 and then sells it and makes a profit of 70%.
Find the selling price of the painting.
Answer:
Step-by-step explanation:
I don't say you must have to mark my ans as brainliest but if you think it has really helped you plz don't forget to thank me my frnd...
Answer:
The selling price of the painting would be $63.00
Step-by-step explanation:
discount amount = x
original price = $210
discount % = 70%
Formula: discount amount/original price = discount%/100%
x/210 = 70/100
x · 100 = 70 · 210
100x = 14,700
100x/100 = 14,700/100
x = $147.00
Formula:
Sale price = original price - discount = final answer
Sale price = $210 - $147 = $63.00
Find the area of the semi circle
Answer:
76.96902001
Step-by-step explanation:
We know that the area of a circle is [tex]pi * r^2[/tex] so we can take that equation and divide it by two to get your answer. So in this case it would be [tex]\frac{pi*7*2}{2}[/tex]. Hope this helps!
A rectangle has a perimeter of 30 inches. One side measures 5 inches. What are the measures of the other three sides?
Answer: the other side has to be five since they are the same which will equal to 10 so that means the other two sides should be 10 each