if a polynomial has one root in the form a+√b , it has a second root in the form of a_√b
Answer:
(a - √b)
Step-by-step explanation:
Roots occur as positive and negative conjugates. Therefore, the conjugate of (a + √b) is (a - √b)
Lesson 4-2
2 Fill in the boxes to find the resulting equation when 25 is subtracted from
each side. Simplify both sides of the equation,
25 + x =
25
31
25
10
Answer:
-25
Step-by-step explanation:
Given the equation 25 + x =
Subtract 25 from both sides
25 + x - 25 = 0 - 25
x = 0 - 25
x = -25
Hence the blank box will be -25
Heyy can someone help me ¿? ;-; is for today ;-;
Zuleima puts her pebbles on the table. Make groups of 3 and have 1 left. Then make groups of 5 and have 2 left. How many stones does Zuleima have?
Step-by-step explanation:
she has 3 because she make group of five n have one and then make a group of five and had two, so add two plus one it will give u three
What mathematical term describes both 5.3 and 8.2 in the expression 5.3x-8.2y+11.1?
Answer:
Step-by-step explanation:
Coefficients
The decimal numbers 5.3 and 8.2 represents the coefficient of 'x' and the coefficient of 'y', respectively.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ 5.3x - 8.2y + 11.1
The number associated with x is known as the coefficient of 'x'. And the number associated with y is known as the coefficient of 'y'.
The decimal numbers 5.3 and 8.2 represents the coefficient of 'x' and the coefficient of 'y', respectively.
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ANSWER ASAP
4 power of 3 +2(3-2).
14
16
66
68
ITS NOT 45
Answer:
245 is the answer to the question
The sum of two numbers is 20.8 and their difference os 10.2. Find these numbers.
Answer:
the numbers are 10.6 and 10.2
Please help me. I will award brainiest thing.
9514 1404 393
Answer:
55°
Step-by-step explanation:
A couple of auxiliary lines can be helpful.
We see that 45° is an exterior angle to the bottom triangle, which has remote interior angles that must total 45°. This means the interior angle at bottom left must be 45° -15° = 30°.
The upper right interior angle is alternate to that, so is the same measure. The exterior angle x to the upper triangle is then the sum of the remote interior angles:
x = 25° +30°
x = 55°
Which shape never has four congruent sides?
A square
B rhombus
C parallelogram
D isosceles trapezoid
Answer:
D
Step-by-step explanation:
its not a parallelogram, so that is not possible
the rest are
i hope this helps!
Help ASAP being timed please.
Answer:
Its the third one
Step-by-step explanation:
Plot all of the points onto the graph, and draw a line through all of the points. It most closely resembles the third one
Someone pls help me i dont wanna fail.
1. You can buy six cans of root beer for $2.50. How many cans of root beer
can you buy for $10? What proportions will work to solve this problem?
Answer
24 cans
Step by Step explanation
10$ / 2.5$ = 4
6 * 4 = 24
A chain lying on the ground is 10 m long and its mass is 60 kg. How much work (in J) is required to raise one end of the chain to a height of 4 m?
Answer:
Approximately [tex]4.70 \times 10^{2}\; \rm J[/tex], assuming that [tex]g = 9.81\; \rm m \cdot s^{-2}[/tex].
Step-by-step explanation:
When the force [tex]F[/tex] is constant, moving by [tex]\Delta x[/tex] in the direction of the force would do a work of [tex]F \cdot \Delta x[/tex].
However, in this example, as an increasing portion of the chain gets lifted up, the force lifting the chain would increase in size. Hence, apply the integral form of this equation.
Let [tex]F(x)[/tex] denote the force required to lift the chain when the height above the ground is [tex]x[/tex] meters. At that moment, exactly [tex](x / 10)[/tex] of the chain would be above the ground. The mass of that much of the chain would be [tex](x / 10)\![/tex] the mass of the whole chain.
[tex]\begin{aligned}F(x) &= m(x) \cdot g \\ &= 60 \cdot \frac{x}{10} \cdot g = 6\, g\, x\end{aligned}[/tex].
Integrate with respect to [tex]x[/tex]:
[tex]\begin{aligned}\int \limits_{0}^{4} F(x) \cdot {\rm d} x &= \int \limits_{0}^{4} 6\, g\, x \cdot {\rm d} x \\ &= \left[(3\, g)\, x^{2}\right]_{x=0}^{x=4}\\ &= 48\, g \approx 4.7 \times 10^{2} \end{aligned}[/tex].
In other words, it would take approximately [tex]4.7 \times 10^{2}\; \rm J[/tex] of energy to raise one end of the chain to that height of [tex]4\; \rm m[/tex].
H) Jorge had 3 pounds of strawberries. He let his friend Matt eat 1/2 of the strawberries. How many pounds of strawberries did Matt eat?
Answer: Matt ate 1.5 pounds of strawberries.
Step-by-step explanation:
3 ÷ 1/2 = 1.5
Answer:
1.5 pounds
Step-by-step explanation:
Total of strawberries = 3 pounds
Mat eat half of the total of strawberries = 1/2 * 3 pounds = 1.5 pounds
Help ASAP I’ll mark brainliest
Answer: C. 254
Step-by-step explanation: All engineers is the population so this is stats and the number that chose math no matter what kind of engineer is 254
12. Remy took out a home-improvement loan to
pay for new kitchen cabinets. The loan was
for $10,000 at an annual interest rate of 5.6%.
Remy paid off the loan in 36 months.
She paid $ Drop-down in all
A. 10.680.00
B. 11,680.00
C. 12,016.00
D. 12,760.00
Answer:
Step-by-step explanation:
A=P(1+rt)
A=10000(1+.056(3))
A=10000(1.168)
A=$11680
Remy took the loan for [tex]\$10,000[/tex] at an annual interest rate of [tex]5.6\%[/tex] and paid off the loan in [tex]36[/tex] months. She paid [tex]\$11680[/tex] Drop-down in all.
What is interest ?Interest is the charge you pay when you borrow money from someone or the cost you charge to lend money to someone.
Simple Interest [tex]=\frac{Principal \ * \ Rate \ * \ Time}{100}[/tex]
We have,
Principal[tex]=\$10,000[/tex],
Interest rate [tex]=5.6\%[/tex]
Time[tex]=36[/tex] months [tex]=3 years[/tex]
So,
Interest [tex]=\frac{Principal \ * \ Rate \ * \ Time}{100}[/tex]
[tex]=\frac{10,000*5.6*3}{100}[/tex]
Interest [tex]= 1680[/tex]
So,
Total amount to be paid [tex]=( 10,000+1680)=\$11680[/tex]
So, the loan for [tex]\$10,000[/tex] at an annual interest rate of [tex]5.6\%[/tex] and time of [tex]36[/tex] months be paid [tex]\$11680[/tex] Drop-down in all.
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PLEASE PLEASE HELP !!
please help i am really struggling . i really dont get it thanks :)
Answer:
I=P-A
___________________________
Someone help me out thx:(
Answer:
kwdgejyegjyfcsudyg
Step-by-step explanation:
A line passes through the point (-1,-7) and has a slope of 5
Write an equation in slope-intercept form for this line.
Anthony borrowed $18,800 at 6% simple interest for 4 months. Determine the amount of interest.
(-12,16) and (-4,-2)find the slope
Answer:
It's -9/4 or -2 1/4. please mark me brainliest <3
Step-by-step explanation:
1) label x1, y1, x2, and y2.
x1 y1 x2 y2
(-12, 16) (-4,-2)
2) Remember the formula is y2-y1
--------
x2-x1
3) substitute
-2-16
--------
-4-(-12)
4) two minuses (negatives) is a positive (+)
so,
-2-16 -18
---------= --------
-4+12 8
5) simplify
-18 divided by 2 -9
----- = ------- or -2 1/4
8 divided by 2 4
Answer:
-1.75
Step-by-step explanation:
The seats are divided into 40 sections. If hats are to be given in only 5 sections, what is the probability of a guest sitting in a winning section? Record your answer as a fraction in simplest form.
Answer:
P=(Probablility of a guest sitting in a section that gets a hat) =number of ways it can happen/total number of outcomes. =5/40= 1/8
Step-by-step explanation:
The probability of a guest sitting in a winning section is 1/8.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
Given, The seats are divided into 40 sections and hats are to be given in only 5 sections.
Here, N(S) = 40 and N(H) = 5.
Therefore, We know, P(H) = N(H)/N(S).
P(H) = 5/40.
P(H) = 1/8.
Some more concepts of probability are, Conditional probability,
A term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.
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Translate the given phase into an algebraic expression and simplify if possible: the quotient of -20 and -40.
Answer:
0.5
Step-by-step explanation:
-20 and -40
quotient means divide one another
-20 / -40
= 20/40
= 2/4
= 0.5
I made these into tiny tiny steps, enjoy.
The translation of the simplified algebraic expression for "the quotient of -20 and -40" is [tex]\dfrac{1}{2}[/tex].
A collection of constants, variables or numbers connected using one or more arithmetic operator is called an algebraic expression .
Example = 4y, 3x+4.
The quotient of -20 and -40 can be written as:
[tex]\dfrac{-20}{-40}[/tex]
The expression can be simplified in the lowest form as;
[tex]\dfrac{-20}{-40}[/tex] = [tex]\dfrac{1}{2}[/tex]
So, the simplified algebraic expression for "the quotient of -20 and -40" is [tex]\dfrac{1}{2}[/tex].
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PLEASE HELP I ATTACHED A PICTURE
Answer:
option 2
Step-by-step explanation:
x is going away from 7 in a positive direction which means greater than. the fact that it is just greater than not equal to means that there is a black circle instead of a filled in one because it excludes that number.
Answer:
Option 2
Step-by-step explanation:
If the inequality is "x > 7" it means that if it was to be represented on a number line, all values that "c" could possibly take would be located to the right (on the number line) of 7. Now there only two options that follow this statement, those options are options 2 and 4. But there is another thing we must understand. x must be larger than 7 (it can not be equal to 7), therefor option 2 is right since it follows the second statement while option 4 would represent inequality "x ≥ 7".
Three robots go out to lunch. They decide
to share the $11.91 bill evenly. How much
does each robot pay? WHATS the equation???
Question 5 of 6
Use the guess and check method to solve this problem.
Bunyan Farm sells 3 pound and 5 pound bags of onions. The Tuesday
morning delivery consists of 25 bags weighing 99 pounds. How many bags
are there of each size?
A. 12 small bags and 13 large bags
B. 13 small bags and 12 large bags
C. 15 small bags and 10 large bags
D. 14 small bags and 11 large bags
Answer:
B. 13 small bags and 12 large bags
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
x is the number of small bags.
y is the number of large bags.
The Tuesday morning delivery consists of 25 bags
This means that [tex]x + y = 25[/tex], that is [tex]y = 25 - x[/tex]
Bunyan Farm sells 3 pound and 5 pound bags of onions. Total of 99 pounds.
This means that [tex]3x + 5y = 99[/tex]
Since [tex]y = 25 - x[/tex]
[tex]3x + 5(25 - x) = 99[/tex]
[tex]3x + 125 - 5x = 99[/tex]
[tex]-2x = -26[/tex]
[tex]2x = 26[/tex]
[tex]x = \frac{26}{2}[/tex]
[tex]x = 13[/tex]
[tex]y = 25 - x = 25 - 13 = 12[/tex]
So 13 small bags and 12 large bags.
anie spent 2.5 hours doing homework she spent 1/3 of the time on the history project she spent all remaining time writing an essay how much time did Annie spent writing the essay answer fast!!!!!!!!!!
It takes me 20 minutes to grade a students quit. how long in hours does it take me to grade 20
Answer:
400
Step-by-step explanation:
20 times 20
For what value of x is the rational expression below equal to zero?
X- 4/X-6
4. Which situation could be represented by the equation 10.75 = 5.5 n?
Ricardo ran 5.5 miles.
He ran each mile in 10.75 minutes.
What is n, the total number of minutes it took Ricardo to run 5.5
miles?
Ricardo ran a totalof 10.75 miles on Monday.
He ran 5.5 miles in the morning and the rest of the miles in the
evening.
What is n, the number of miles Ricardo ran in the evening?
Ricardo ran a total of 10.75 miles.
He ran 5.5 miles each hour.
What is n, the number of hours Ricardo ran?
Ricardo ran 10.75 hours one week and 5.5 hours the next week.
What is n, the total number of hours Ricardo ran during these
weeks?
Answer:
Ricardo ran a total of 10.75 miles on Monday.
[tex]n =1.95[/tex]
Step-by-step explanation:
Given
[tex]10.75 = 5.5n[/tex]
Required
Which situation represents the equation and solve for n
The options show the relationship between distance, time and speed.
This is calculated as:
[tex]Distance = Speed * Time[/tex]
By comparison:
[tex]Distance = 10.75[/tex]
[tex]Speed = 5.5[/tex]
[tex]Time = n[/tex]
So, we can say that:
He ran 10.75 miles (option D)
Solving for n:
Make n the subject in [tex]10.75 = 5.5n[/tex]
[tex]\frac{10.75}{5.5} = n[/tex]
[tex]n = \frac{10.75}{5.5}[/tex]
[tex]n =1.95[/tex]