Answer:
The numbers are 9 + 11 + 13 + 15.
Step-by-step explanation: The equation for this is simple.
Take x as the smallest number of the 4 numbers. The second number would be x +2, third number is x+4, and the fourth number is x+6. you add these together, and you get: 4x +12 = 48, you then solve this as a linear equation. 48-12 = 36. Then you divide by 4, which gives you 9 as the smallest number of the 4 numbers. Remember that the second number is 9+2=11, third is 9+4=13, and the fourth is 9+6=15. If you add these together you get 9+11+13+15=48.
3. Use the given information about the polynomial graph to write out the equation.
Degree 5, Roots of multiplicity 2 at x = 3 and x = -2 and a root of multiplicity 1 at x = 4,
y-intercept at (0,12).
Answer:
[tex]f(x)=-\frac{1}{12}(x-3)^2(x+2)^2(x-4)[/tex]
Step-by-step explanation:
The standard form for a polynomial equation in its factored form is:
[tex]f(x)=a(x-p)(x-q)...[/tex]
Where p and q are the zeros and a is the leading coefficient.
We know that the degree of the polynomial is 5.
We are also given roots at x=3 and x=-2. Hence, our factors are (x-3) and (x+2).
These have a multiplicity of two, so we will square them.
We also know that there is a root at x=4. Hence, the factor is (x-4). This has a multiplicity of 1.
Therefore, our polynomial is now:
[tex]f(x)=a(x-3)^2(x+2)^2(x-4)[/tex]
We know that the y-intercept is 12. Therefore, if we substitute in 0 for x, we should get 12 for y. Here, we are solving for our a. Therefore:
[tex]12=a(0-3)^2(0+2)^2(0-4)[/tex]
Evaluate:
[tex]12=a(9)(4)(-4)[/tex]
Evaluate:
[tex]-144a=12[/tex]
Divide both sides by -144:
[tex]a=-1/12[/tex]
Hence, our entire polynomial is:
[tex]f(x)=-\frac{1}{12}(x-3)^2(x+2)^2(x-4)[/tex]
y=mx+b
answer fast, please!
Answer: y = -1x + 3
Step-by-step explanation:
it's going through the y intercept ( 3 )
and down ( negative by 1 )
you can also write the answer as y = -x + 3
either one, its the same.
PLZ HURRY IT'S URGENT!!!
The USC basketball team scored over 100 points in its last game. Some baskets, x, were worth 2 points and other baskets, y, were worth 3 points. Write an inequality to represent the score.
options:
2x+3y 100
2x+3y≤100
2. For the inequality y
options:
True
False
Answer:
its 2x+3y>100
Step-by-step explanation:
BTW the greater than sign is greater than or equal to I just cant input that sign so make sure the sign is > with a line underneath it.
Is m || n? Which theorem (which tool) did you use to decide?
Answer:
Yes. m is parallel to n. Since the 2 angles labelled are equal, by alternate angles rule, m is parallel to n.
Step-by-step explanation:
This is a question on angles. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
Answer:
yes
Step-by-step explanation:
Yes m is parallel to n because the alternate interior angles are equal .
Give the values of the coefficients [a], [b], and [c], regarding the product in the form of ax^2-bx + xy - cy. Use "0" if the term isn't present.
Answer:
[tex]x^{2} -6x+xy-6y[/tex]
Step-by-step explanation:
Answer:
The values of coefficients a, b and c are
a=1
b=6
c=6
Step-by-step explanation:
We need to give the values of coefficients [a],[b] and [c] regarding the product in the form of [tex]ax^2-bx + xy - cy[/tex]
The term given is: [tex](x+y)(x-6)[/tex]
First we will multiply the terms
[tex](x+y)(x-6)\\=x(x-6)+y(x-6)\\=x^2-6x+yx-6y[/tex]
Now comparing the product [tex]x^2-6x+yx-6y[/tex] with the given form [tex]ax^2-bx + xy - cy[/tex]
The values of coefficients a, b and c are
a=1
b=6
c=6
A construction company is building a small deck for a customer and plans to use for the two boards that are 12 3/4 feet, four boards that are 13 5/8 feet, and two boards that are 10 1/2 feet. Find the total number of feet in all the boards
9514 1404 393
Answer:
101 feet
Step-by-step explanation:
Multiply the number of boards by the length of the boards, and add the products.
2(12 3/4) +4(13 5/8) +2(10 1/2) = 25 1/2 +54 1/2 +21 = 101
The total length of the boards is 101 feet.
Arizona iced tea is manufactured in a warehouse by machines that bottles
the iced tea bottles and puts the caps and labels on them. There is a
special machine that bottles iced tea so that every 8th bottle gets a green
label and every 6th bottle gets a pink cap.
What number bottle will be the first bottle to get a green label and a
pink cap?
On the 100th year Anniversary every 10th bottle got a special edition bottle
that has a gold band.
What number bottle will be the first to get a green label, a pink cap
and a special edit
Answer:
to get a green and pink it would be 24
i cant find find the special edit sorry
Step-by-step explanation:
5pm to 5 am how many hours
Answer:
12 hours
Step-by-step explanation:
Answer:
12 hours
Step-by-step explanation:
best answer get brainly
Farrell football team has a total 30 uniform shirts.20% of the uniforms are medium-sized how many uniforms are medium?
Answer:
I would believe that it would be close 7 whatever is closest to seven bro
Answer:
12
Step-by-step explanation:
20%=2/5
2/5 is equivalent to 12/30
therefore 12 uniforms are medium
Ebony's bank balance first reached $400 on Day 4. The last day her balance was $400 was Day 8. Look at the picture. Brainliest Answer. Only answer if your 100% sure .
Answer:
It stays true because it stays the same amount so B would be the correct answer.
Step-by-step explanation:
16. [-12 Points]
DETAILS
CURRENMEDMATH11 3.S.001.
Solve the equation. A calculator may be used.
Express your answer to the nearest tenth.
0.8 1.4.
X
0.45 1
Express your answer to the nearest hundredth.
1.4
0.8
Х
0.45
=
1
Answer:
Answer: A. 5:4 Step-by-step explanation: Since the question mentions twelfths of a pie, it is easier to say each pie has 12 pieces or 36 total pieces ordered from the 3 pies. Ty ate 5 and Rob ate 15 which is 3 times more than Ty. A total of 20 pieces have been eaten from the 36 you started with. Eaten = 16. So the ratio is 20:16 which is simplified to = 20 and Remaining 5:4.
3.
1
y=x+3
1
slope: +: y-intercept: 3
4
B slope: 4; y-intercept: -3
1
slope: ; y-intercept: -3
D slope: 4; y-intercept: 3
PLEASE HELP ME
Answer:
A
Step-by-step explanation:
remember y=Mx+b where M is slope mad B is y intercept
A video game has the following formula:
For every 1,701 in attack power, you gain 3 levels.
You get one bonus star per every 33 levels completed.
If a player has an attack power of 0.04 million, how many bonus stars could they get?
Round to a whole number.
Answer:
2 bonus stars
Step-by-step explanation:
0.04 million= 40,000
40000/1701= 23.5
23.5(3)= 70.5
70.5/33= 2 stars
Please help I’ll mark brainliest if u give a small explanation
Write the slope-intercept form of the equation of the line described. through (2, -5) perpendicular to y = 1/3x -1
Answer:
y = -3x + 1
Step-by-step explanation:
Perpendicular lines have opposite reciprocal slopes, so the slope will be -3.
Plug in the slope and given point into y = mx + b
y = mx + b
-5 = -3(2) + b
-5 = -6 + b
1 = b
Then, plug in the slope and y intercept into y = mx + b again:
y = -3x + 1 will be the equation of the line
Help solve this equation
Answer:
x=1
You solve for x by cross multyplying
Solve x2 − 10x = −13.
A) 5 ± 2square root 3
B) 5 ± square root 38
C) 5 ± 2square root 2
D) 5 ± 3square root 2
Answer:
B
Step-by-step explanation:
First, let's rearrange the given equation into something more recognizable. If we add 13 to both sides, we now have the polynomial [tex]x^{2}-10x+13[/tex]. We can now use the quadratic formula to solve.
Remember that the quadratic formula is
[tex]\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}[/tex]
Substitute the numbers from the equation into the formula.
[tex]\frac{-(-10)+/-\sqrt{(-10)^{2}-4(1)(13) } }{2(1)}[/tex]
Simplify:
[tex]\frac{10+/-\sqrt{100-52} }{2}[/tex]
[tex]\frac{10+/-\sqrt{48} }{2}[/tex]
Here, I'm going to assume that there was a mistype in option B because if we divide out the 2 we end up with [tex]5+/-\sqrt{48}[/tex].
Hope this helps!
Find the area of a square is 12cm find the length
Answer:
The length would be l=3.46
Step-by-step explanation:
help please! will mark brainliest!
Answer:
Hello! I'll help, but where is the question?
Step-by-step explanation:
Answer:
what do you need help with?????
what is the correct evaluation of 3x-x+2,when x is equal to -4?
14
-6
6
-14
Answer:
(b) -6
Step-by-step explanation:
=3x-x+2
=3(-4)-(-4)+2
=-12+4+2
=-12+6
=-6
Is 16.4 greater than 16
Answer:
yea
Step-by-step explanation:
Yes.
16 could also be written as 16.0, or 16.00 or even 16.00000.
16.4 could also be written as 16.40, or 16.400.
And of course, you know 4 is greater than 0.
This is why 16.4 is greater.
When you add a decimal to a number, it always makes it larger. its like saying 16 and 4 tenths.
1. Adjacent angles are two angles in the same plane with a common
and a common
but no common interior points.
Answer:
Adjacent angles are two angles in the same plane with a common VERTEX and a common SIDE but no common interior points.
Step-by-step explanation:
Adjacent angles share a common side on the same vertes, but they do not overlap each other.
In the attached image, ∠ABD is adjacent to ∠DBC, but ∠ABC is not adjacent to any of them.
PLEASE HELP I NEED TO TURN THIS IN BEFORE 2.
what fractions of the second ten counting numbers (11,12,13...,.18,19,20) Are composite and prime
will be the brainest
Answer:
Fraction of composite numbers = 6/10
Fraction of prime numbers = 4/10
Step-by-step explanation:
A composite number can be defined as a positive integer that will be formed when we multiply two smaller positive integers. It can also be said to be a positive integer that has at least one divisor of which 1 and itself are not included.
Thus, it means that the set of numbers given to us which is;
(11, 12, 13, 14, 15, 16, 17, 18, 19, 20), the composite numbers are;
12, 14, 15, 16, 18, 20
This is because each of them have at least one divisor that is neither itself or 1.
Thus, we have 6 out of the 10 numbers as composite.
Fraction of composite numbers = 6/10
Now, a prime number is a number that are only divisible by itself and 1.
Thus,from the given set, the prime numbers are; 11, 13, 17 & 19
We have 4 out of 10 numbers as prime numbers.
Thus, fraction of prime numbers = 4/10
You earned a 90% on a science test. You answered 18 questions
correctly. How many questions were on the test?
Answer:
20 questions
Step-by-step explanation:
10 divided by 20 is 0.9 which would be 90%
2. Graph x < 8 and x > -1.
Answer:
I'll try my best in explaining the steps.
Considering both signs are greater than and less than sign, its an open circle.
For the first equation, you would have an open circle, basically one that isn't colored in, on 8 on the number line. The arrow would be pointing to the left because the equation is telling us numbers that are less than 8.
For the second equation, you would have an open circle, basically one that isn't colored in, on -1 on the number line. The arrow would be pointing to the right because the equation is telling us numbers that are greater than -1.
Step-by-step explanation:
Substitute u = 26 into u + 34 to find the value of the left-hand side of the equation
Answer:
60
Step-by-step explanation:
The answer is 60 because the equation u = 26 tells us u is 26
So we can plug in 26 into u + 34
It should look like this 26 + 34 and it equals 60
pls mark brainliest
235 people are at a summer camp. There are 35 more boys than girls, and 70 fewer adults than girls. How many people of each group are at the camp?
Answer:
125 boys, 90 girls and 20 adults
Step-by-step explanation:
Let the number of boys be x
Let the number of girls be y
Let the number of adults be z
If there are 235 people at the summer camp, then;
x + y+ z = 235 ..... 1
If there are 35 more boys than girls, then;
x = y + 35 .... 2
If there are 70 fewer adults than girls then;
y = z - 70
z = y - 70....3
Substitute 2 and 3 into 1;
x + y+ z = 235 ..
(y+35)+y+(y-70) =235
3y -35 = 235
3y = 270
3y/3 = 270/3
y = 90
Since x = y + 35
x = 90 + 35
x = 125
Also z = y - 70
z = 90+70
z = 20
There are 125 boys, 90 girls and 20 adults
Answer:
There are 90 girls, 125 boys, and 20 adults.
Step-by-step explanation:
Let x be the number of girls. How many boys were there?
x + 35
How many adults were there?
x - 70
We know that 235 people are at RSM summer camp. Use this to make an equation.
x + (x + 35) + (x - 70) = 235
x + x + 35 + x - 70 = 235
3x - 35 = 235
3x - 35 + 35 = 235 + 35
3x = 270
3x ÷ 3 = 270 ÷ 3
x = 90
x, x + 35, x - 70
90, 125, 20
Selena bought a TV for her bedroom. The original price was $299.99, but she bought it on sale for 30% off. Selena also paid 15% tax. How much money did she spend on the TV?
A manufacturer of women’s blouses has noticed that 80% of their blouses have no flaws, 15% have one flaw, and 5% have two flaws. If you buy a new blouse from this manufacturer, the expected number of flaws will be:_________
a. 0.15
b. 0.20
c. 0.80
d. 1.00
e. none of the above
Answer:
b
Step-by-step explanation:
80% +15% +5%=100
15/100= 0.15
5/100= 0.05
therfore
0.15 + 0.05 = number of flaws
=0.20
Based on the flaws that the manufacturer notices, we can infer that the expected number of flaws will be 0.25 which is e. none of the above.
The expected number of flaws is a weighted average of the percentages that have flaws:
=∑ (Percentage of flaws x Number of flaws)
The expected number of flaws is therefore:
= (80% x 0) + (15% x 1) + (5% x 2)
= 15% + 10%
= 0.25
In conclusion, you would expected the number of flaws to be 0.25.
Find out more at https://brainly.com/question/13412627.
Helpppppppppppppp
asappppppppppp
Answer:
180-112=68
Step-by-step explanation: