The answer is -9
-4 - 5 = -9
the answer is -4-(5)= -9
An error has been made in subtracting the two polynomials shown in the work below the problem is (6x^2-4x-5)-(3x^2-7x=2)
Answer/Step-by-step explanation:
Let's work out the subtraction of the polynomial to find out where the error is and the correct result we should have.
6x² - 4x - 5
- 3x² - 7x + 2
= [6x² - 3x²] [-4x -(-7x)] [-5 -(+2)]
= 3x² + 3x - 7
The error that was made in the subtraction given in the question was that the negative signs before the terms, 7x and 5 were ignored while subtracting.
The sign is very important, it defines the value of the term.
We can choose to solve the problem in another way shown below:
(6x² - 4x - 5) - (3x² - 7x + 2)
Distributive the negative sign in the second polynomial
6x² - 4x - 5 - 3x² + 7x - 2
Combine like terms
6x² - 3x² - 4x + 7x - 5 - 2
3x² + 3x - 7
Suppose line segment AB has one endpoint at A(0, 0). What are the coordinates of B if (5, 3) is 1/3 of the way from A to B?
Answer:
[tex]B(x_2,y_2)= (20,12)[/tex]
Step-by-step explanation:
Given
[tex]A = (0,0)[/tex]
[tex]Ratio; m : n = 1 : 3[/tex]
[tex]Point\ at\ 1 : 3 = (5,3)[/tex]
Required
Coordinates of B
This question will be answered using line ratio formula;
[tex](x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]
In this case:
[tex](x,y) = (5,3)[/tex]
[tex](x_1,y_1) = (0,0)[/tex]
[tex]m : n = 1 : 3[/tex]
Solving for [tex](x_2,y_2)[/tex]
[tex](x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex] becomes
[tex](5,3) = (\frac{1 * x_2 + 3 * 0}{1 + 3},\frac{1 * y_2 + 3 * 0}{1 + 3})[/tex]
[tex](5,3) = (\frac{x_2 + 0}{4},\frac{y_2 + 0}{4})[/tex]
[tex](5,3) = (\frac{x_2}{4},\frac{y_2}{4})[/tex]
Comparing the right hand side to the left;
[tex]\frac{x_2}{4} = 5[/tex] -- (1)
[tex]\frac{y_2}{4} = 3[/tex] -- (2)
Solving (1)
[tex]x_2 = 5 * 4[/tex]
[tex]x_2 = 20[/tex]
Solving (2)
[tex]y_2 = 3 * 4[/tex]
[tex]y_2 = 12[/tex]
Hence;
[tex]B(x_2,y_2)= (20,12)[/tex]
Find the z score that cuts-off the largest 9% under the standard normal curve. a) -1.34 b) 1.34 c) 0.536 d) 1.28
Answer:
b) 1.34
Step-by-step explanation:
The z score is used to determine the number of standard deviations by which the raw score is above or below the mean. If the z score is positive then the z score is above the mean while for a negative z score implies that it is below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
For the largest 9%, the score is 100% - 9% = 91% = 0.91
From the normal distribution table, the z score that corresponds to 0.91 is 1.34
Inverse functions, PLEASE HELP I’m stuck
HELP ASAP !! Suppose line segment AB has one endpoint at A(0, 0). If (5, 3) is the midpoint of AB, what
are the coordinates of point B?
Answer:
(9,3)
Step-by-step explanation:
did the calculations
The co-ordinates of point B is ( 10, 6 ).
What is a line segment ?A line segment is a subset of a line which has two endpoints.
According to the given question a line segment AB has one endpoint at A(0, 0) which is (x₁,y₁)
Given midpoint is at (5,3).
Let B is (x₂,y₂).
We know midpoint of x is (x₁ + x₂)/2 and midpoint of y is (y₁ + y₂)/2.
∴ 5 = ( 0 + x₂ )/2
5 = x₂/2
x₂ = 10.
AND
3 = ( 0 + y₂ )/2
3 = y₂/2
y₂ = 6.
( x₂,y₂ ) = (10,6)
learn more about midpoint here :
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3.5 with a line on top of five =
Answer:
7/2
Step-by-step explanation:
Which of these distributions is most likely to show data collected while studying the number of the plates people use while eating at an all you can eat buffet explain your reasoning
Answer: The second distribution.
Step-by-step explanation:
We should to expect to see a large density for the lowest number of plates (because is more common to eat 1, 2 or 3 plates than more)
For example, in the first distribution, we can see a normal distribution with a mean of 6.
This does not really make sense, because 6 plates is really a lot.
The third distribution has two peaks, one at 1 plate that has a lot of sense, and another at 10 plates, so this also does not have really a lot of sense (again, 10 plates is really a lot)
The fourth distribution seems to be even for all the number of plates, which would say that there is almost the same number of customers that eat 1 or 2 plates than the number that eats 9 or 10. This does not seem really logical, so we can assume that this is incorrect.
The second distribution is the correct one, because we see a larger density at a smaller number of plates (with a maximum at 2 plates) and the number of customers starts decreasing as the number of plates decreases (in this case, we can see that no one ordered more than 9 plates, which makes a lot of sense)
For the right triangles below, find the exact values of the side lengths b and d.
If necessary, write your responses in simplified radical form.
60°
30°
5
b
=b
45°
45°
d
7
=d
Answer:
Step-by-step explanation:
The question lacks the required diagram. Find the diagram attached below;
According to the first triangle, taking 30° as the reference angle, the opposite side of the triangle will be 5 and the adjacent will be the unknown side "b"
According to SOH, CAH, TOA;
tanθ = opposite/adjacent (using TOA)
Given;
θ = 30°, opposite = 5 and adjacent = b
tan30° = 5/b
b = 5/tan30°
b = 5/(1/√3)
b = 5*√3/1
b = 5√3
According to the 45° triangle, the opposite side of the triangle will be d and the hypotenuse will be 7
Using SOH;
sinθ = opposite/hypotenuse
Given;
θ = 45°, opposite = d and adjacent = 7
sin45° = d/7
d = 7sin45°
d = 7(1/√2)
d = 7/√2
Rationalize 7/√2
= 7/√2*√2/√2
=7√2/2
Hence the value of d is 7√2/2
If you are given the measurements If two sides of a triangle, what will be true about the triangle you make?
Answer:
You can make infinitely many unique triangles.
Step-by-step explanation:
You aren't given the measure of the angle that the two given sides form, therefore, the two given sides could form any angle greater than 0° but less than 180°. In each different "case", the triangle will be different, hence, the answer is You can make infinitely many unique triangles.
Answer:
you can make infinitely many unique trangles
Step-by-step explanation:
trust em i did it and got it right
Choose the appropriate descriptor for the term gram. mass volume length area
Answer:
Mass is the appropriate term.
Step-by-step explanation:
A triangle has a perimeter of 26 inches. The medium side is 6 more than the short side, and the longest side is 3
times the length of the shortest side. Find the shortest side?
Answer:
where is your formula? pliz tell me
if t(x)=-x+3, then what is f(x)=(t*t)(x)
Answer:
[tex]f(x) = {x}^{2} - 6x + 9[/tex]
Step-by-step explanation:
If f(x) = (tt)(x), that's essentially squaring t(x) so
[tex]f(x) = {t(x)}^2 \\ f(x) = (-x +3)^2 \\ f(x) = (-x +3)(-x +3) \\ f(x) = -x(-x +3) +3(-x +3)\\ f(x) = x^2 -3x -3x +9 \\ f(x) = x^2 -6x +9[/tex]
The local Jazz Club met 50 times last year. At each meeting there were 20 slots on the playlist, with one tune played in each slot. A careful study of the playlists for last year showed that: 40% of the slots were used for tunes that were not played at any other time that year. 45% of the slots were used for tunes that were played just twice. Half of the remaining slots were used for tunes that were played 3 times. There were only 5 other tunes played during the year, and the number of times that these were played was in the ratio 5 : 4 : 3 : 2 : 1. How many different tunes will a member who attended all meetings have heard during the year?
A655
B 705
C 880
D 930
Answer: It’s A, 655.
The total number of different tunes will a member who attended all meetings have heard during the year is 655 and this can be determined by using the given data.
Given :
The local Jazz Club met 50 times last year. At each meeting there were 20 slots on the playlist, with one tune played in each slot. A careful study of the playlists for last year showed that: 40% of the slots were used for tunes that were not played at any other time that year. 45% of the slots were used for tunes that were played just twice. Half of the remaining slots were used for tunes that were played 3 times.There were only 5 other tunes played during the year, and the number of times that these were played was in the ratio (5 : 4 : 3 : 2 : 1).The total number of slots is given by:
[tex]50\times 20 = 1000[/tex]
So, the total number of tunes in each slot is 1000.
The total number of remaining tunes is given by:
[tex]=1000-(400+450)[/tex]
= 150
According to the given data half of the remaining tunes were played thrice that is 75 tunes were played thrice and only 5 other tunes were played out of the remaining 75 tunes.
So, the total number of tunes a member will hear is given by:
[tex]=400+\dfrac{450}{2}+\dfrac{75}{3}+5[/tex]
= 655
So, the total number of different tunes will a member who attended all meetings have heard during the year is 655.
For more information, refer to the link given below:
https://brainly.com/question/23017717
How do we Round with any numbers, (on a number line) ?
Answer:
round it to the nearest 10th?
Step-by-step explanation:
that's what I do at least.
Answer: Round up or down.
Step-by-step explanation: When you round up, look at the number to the right of the number you wanna round. If it’s less than 5, you round down, if it’s more than 5, you round up. On a number line, for ex. Let’s say you wanna round 550 to hundreds, 600 or 500, 600 would be the answer because 550 is more closer to 600 by default.
16.56 divided by 0.08=
Answer:207
Step-by-step explanation:
Write the equation of the line in point-slope form that passes through the given point with the given slope (1,5); m = -3
Answer:
y - 5 = -3(x-1)
Step-by-step explanation:
We have the slope and a point
Point slope form is
y-y1 = m(x-x1) where m is the slope and ( x1,y1) is a point on the line
y - 5 = -3(x-1)
(3x2 - 5x + 6) + (2x2 + 7x - 9)
Which of the following is equivalent to the expression above?
1) round 24,837,618 to the ten thousands place.
I need help on my college math pls help me it needs to be shown work on paper!
Answer:
24,840,000
Step-by-step explanation:
The number in the ten thousands place is 3. The number to the right of it is 7. Since 7 ≥ 5, we round up the 3 to a 4.
24,837,618 ≈ 24,840,000
If f(x)= x+7 and g(x)= 1/x-13
3) At a barbecue, there are 68 hotdogs being grilled, and there are 34 people. How many hotdogs does each person get? (You can use a calculator) 68 II 8 Hotdogs People 34 Answer: hotdogs for each person
Answer:
2 hotdogs for each person
Step-by-step explanation:
Solve the equation . Check your solution
Answer:
x=48/8=6
Step-by-step explanation:
simple form
8x-48=0
fractionized
8(x-6)=0
change to a fraction 3.025
Answer:
3.025 as a fraction is 121/40
if I spend 6/11 of my money on books what fraction of it will remain
Identities in maths 4sin30°cos45° What is the answer?
Answer:
[tex]4*1/2*\sqrt{2} /2=\sqrt{2}[/tex]
Step-by-step explanation:
Ashley has already knit 2 centimeters of scarf, and can knit 2 centimeters each night. Write an equation that shows the relationship between the nights x and the length knit y.
Answer:
2+2x=y
Step-by-step explanation:
We start our equation with 2 since that is how much she aldredy knit then we do X*2 or 2x =y then we put the 2 so 2+2x=y
Before each class, I either drink a cup of coffee, a cup of tea, or a cup of water. The probability of coffee is 0.7, the probability of tea is 0.2, and the probability of water is 0.1. If I drink coffee, the probability that the lecture ends early is 0.3. If I drink tea, the probability that the lecture ends early is 0.2. If I drink water, the lecture never ends early. 1) What’s the probability that I drink tea and finish the lecture early? 2) What’s the probability that I finish the lecture early? 3) Given the lecture finishes early, what’s the probability I drank coffee?
Answer:
1. Probability of drinking tea and finishing the lecture early = 0.2 * 0.2 = 0.04 or 4%
2. Probability of finishing the lecture early = 50% (0.3 + 0.2).
3. Probability of drinking coffee = 0.21 or 21% (0.7 * 0.3)
Step-by-step explanation:
a) Data and Calculations:
Probability Early Ending Expected Probability
Coffee 0.7 0.3 0.21
Tea 0.2 0.2 0.04
Water 0.1
b) The probability of drinking coffee, tea, or water is the chance that the lecturer drinks either coffee or tea or water. The combined probability of the three actions is always 1. The expected probability is the weighing of the probabilities with another event, ending the lecture early. This is obtained by multiplying their respective probabilities.
what is
(-1/3)+1/4+(-1/5)
Answer:
-17/60
Step-by-step explanation:
(-1/3)+1/4+(-1/5)
Is it TRUE, you can solve a literal equation by isolating the specified variable, or letter
In parallelogram RELA you are given that the measure of angle R = 110 degrees. Find the measure of angle L.
Answer:
L = 110 degrees
Step-by-step explanation:
all angles in a parallelogram are congruent
Answer:
How are you in college
Step-by-step explanation:
1 + 1 = 2
What is the name of this shape?
Answer:
octagon
Hope it helps
I am sure about this