Answers
Answer:
A
Step-by-step explanation:
The solution matrices shown are the result of reducing the augmented coefficient matrix to "reduced row-echelon form". Many calculators and spreadsheets have functions specifically for that purpose.
The attachment shows the result of a TI-84 work-alike calculator's reduction of the coefficient matrix. It matches the first choice.
__
Additional comment
When the equations are written in the form shown here, with the variables in the same order, and the constant on the right side of the equal sign, the augmented matrix is simply the matrix of the numbers. It is shown as the argument of the RREF function in the attachment.
The left-right order of the variables on the left side of the equal sign matches the top-down order of the solution values in the rightmost column of the reduced matrix. That is, ...
a = 2, b = -2, c = 0.
Related Questions
Cual es la regla de la sucesion de 1,4,7,10,13,16,19,
Answers
Given, a = 1
common difference = 3
Eighth term = a+(n-1)d = 1+(8-1)3
= 1 + 21 = 22
Hope this helps :)
Find the volume of a cone with a diameter of 10 yards and a height of 12 yards. round your answer to the nearest tenth.
Answers
Explanation: TIMES 10 AND 12 AND THATS YOUR ANSWER.
Solve the equation by factoring. 8x^2+10x-7=0
What is the solution set?
Answers
Answer:
[tex]x = - \frac{7}{4} \: \frac{1}{2} [/tex]
Step-by-step explanation:
[tex]8 {x}^{2} + 14x - 4x - 7 = 0 \\ 2x(4x + 7) - (4x + 7) = 0 \\ (4x + 7)(2x - 1) = 0[/tex]
Answer:
[tex]\large \text{$x_1$}=-\dfrac{7}{4}, \large \text{$x_2$}=\dfrac{1}{2}[/tex]
Step-by-step explanation:
Given: 8x² + 10x - 7 = 0
When factoring trinomials of the form ax² + bx + c:
multiply the leading coefficient and the last term.find the product factors that add to give you the coefficient of the middle term.rewrite the polynomial with those factors replacing the middle term.1. Split the middle term:
⇒ 8 × -7 = -56 [multiply the leading coefficient and the last term]
⇒ 14, -4 [find the product factors that add to the middle term's coefficient]
⇒ 8x² + 14x - 4x - 7 = 0 [rewrite with those factors replacing the middle term.]
2. Factor by grouping:
⇒ 8x² + 14x - 4x - 7 = 0 [factor out 2x]
⇒ 2x(4x + 7) - 4x - 7 = 0 [factor out -1 or the negative sign]
⇒ 2x(4x + 7) -1(4x + 7) = 0 [factor out 4x + 7]
⟹ (4x + 7)(2x - 1) = 0
3. Separate into 2 cases:
4x + 7 = 02x - 1 = 0
Case 1:
⇒ 4x + 7 = 0 [subtract 7 from both sides]
⇒ 4x + 7 - 7 = 0 - 7
⇒ 4x = -7 [divide both sides by 4]
⇒ 4x ÷ 4 = -7 ÷ 4
⟹ x = [tex]\bold{-\dfrac{7}{4}}[/tex]
Case 2:
⇒ 2x - 1 = 0 [subtract 1 from both sides]
⇒ 2x - 1 + 1 = 0 + 1
⇒ 2x = 1 [divide both sides by 2]
⇒ 2x ÷ 2 = 1 ÷ 2
⟹ x = [tex]\bold{\dfrac{1}{2}}[/tex]
Solutions:
[tex]\large \text{$x_1$}=-\dfrac{7}{4}, \large \text{$x_2$}=\dfrac{1}{2}[/tex]
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1. What is the slope of a line that is parallel to the line represented by the equation y=-2/5x + 4/5
Answers
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to find the slope of the line that is parallel to the line [tex]\star~\mathrm{y=-\cfrac{2}{5}x+\cfrac{4}{5}}[/tex].
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
Parallel lines have the same slope.So let's first determine the slope of the first line, and then let's find the slope of the line that's parallel to it.
[tex]\circ\!\!\!\star\mathcal{HINT:}[/tex]
The slope is the coefficient of x.So the slope is
[tex]\star~\mathrm{-\cfrac{2}{5}}[/tex].
Can you guess the slope of the line that is parallel to the first line?
That's right! The slope is...
[tex]\star~\mathrm{-\cfrac{2}{5}}[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
#StudyWithBrainly
~Just a smiley person helping fellow students :)
What is the component form of the vector whose tail is the point (-3,2) and whose head is the point (1, -6)?
Answers
Answer:
(4, -8)
Step-by-step explanation:
The components of a vector are found by subtracting the tail from the head.
__
Head - Tail = (1, -6) -(-3, 2) = (1 -(-3), -6 -2) = (4, -8)
⇒ The component form is (4, -8), or maybe 4i -8j.
_____
Additional comment
There are many ways that the components of vectors can be described. The particular format you are expected to use will likely be found in your curriculum materials.
(4,-8) is the answer
HELP ASAPPPP 10 POINTS
Answers
Find the term that must be added to the equation x² + 6x = 1 to make it into a
perfect square.
Answers
=> (x^2+6x+3^2)=1+3^2
(x+3)^2 = 10
Assessment
Read, analyze, then solve each problem. Answer each question.
A. A bowl of mango jelly was poured into a 14 cm x 8 cm x 3
cm rectangular container. If the mango jelly completely filled
the container, how much mango jelly was there?
1. What is asked in the problem? __________________________
2. Show your solutions. _________________________________
3. State the final answer. ________________________________
B. Ana is cleaning a box which is 6 dm long, 4 dm wide and 15
dm tall. What is the volume of the box?
4. What is asked in the problem? __________________________
5. What are given? _____________________________________
6. State the final answer. ________________________________
C. Wenalyn baked a cassava cake which measures 18 cm x 10
cm x 4 cm. She wants to share the cake with her two
classmates so she cuts it into three parts all of the same
sizes. How much cassava cake will each of her classmates
receive?
7. Show your solutions or illustration.
8. What is the final answer? _____________________________
D. A ream of bond paper is 28 cm long, 22 cm wide and 4 cm
thick. It contains 500 sheets. If 250 sheets were removed
from the ream of bond paper, what is the volume of the
remaining sheets?
9. Write the equation. __________________________________
10.What is the final answer? ___________________________
Answers
The formula for the volume of a rectangular prism is: length x width x height
Volume of the mango jelly : 14 x 8 x 3 = 336 cm³
Volume of the cleaning box: 6 x 4 x 15 = 360 dm³
Volume of the cake each classmate would get = (18 x 10 x 4) / 3 = 240 cm³
Volume of the remaining ream of paper : (28 x 4 x 22) / 250 = 9.9 cm³
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wright the follwing in decimlal form:3/11
Answers
Answer:
3/11 in decimal form is 0.272727272727....
Step-by-step explanation:
Yw ! :)
what is the mean median and mode of 3,721,23,63,27,29,95 and 23?
Answers
Answer:
Mean: 123
Median: 28
Mode: 23
Step-by-step explanation:
give brainliest
Answer:
Mean = 123, Median = 28 , Mode = 23
Step-by-step explanation:
Mean is the average of all the numbers.
Mean = [tex]\frac{3+721+23+63+27+29+95+23}{8} \\= \frac{984}{8} \\= 123[/tex]
Median is the middle most value of the numbers when arranged in ascending order. (Average of the 2 middlemost numbers if there are even number of values.)
Arranged Values: 3,23,23,27,29,63,95,721
Median = [tex]\frac{27+29}{2} \\= \frac{56}{2} \\= 28[/tex]
Mode is the value that occurs the most in the numbers.
Mode = 23
If b=7 , what is the value of the expression 2(10-b)? A.4 B.6 C.24 D. 12
Answers
Answer:
B
Step-by-step explanation:
substitute b = 7 into the expression
2(10 - b)
= 2(10 - 7)
= 2(3)
= 6
Answer:
all you have to do is substitute
B. 6
Step-by-step explanation:
2(10-7)
2(3)
6
Question 9 of 10
Which pairs of angles in the figure below are vertical angles?
Check all that apply.
Answers
Answer:
B. ∠TRF and ∠NRLC. ∠LRE and ∠FRAStep-by-step explanation:
→ The lines TN and FL intersect each other
at the point R forming the opposite angles ∠TRF and ∠NRL
then
∠TRF and ∠NRL are verticals angles.
………………………………………………………………………
→ The lines LF and AE intersect each other
at the point R forming the opposite angles ∠LRE and ∠FRA
then
∠LRE and ∠FRA are verticals angles.
Please Help I Don't Understand!
Answers
Answer:
3/4
Step-by-step explanation:
Scale factor is the ratio between two different triangles. They can be scaled if they are similar triangles, which they are (in this case). Since we know that these two triangles are similar, we want to match all the sides up in a way where they all have the same ratio.
NK=3 and AH = 4, so NK/AH = 3/4.
GK=6 and LH = 8, so GK/LH = 6/8 = 3/4.
GN = 15 and LA = 20, so GN/LA = 15/20 = 3/4.
We found the matching ratios, so the answer is 3/4.
How to find the surface area of a hexagon?
Answers
Answer:
adding all the areas on the surface: the areas of the base, top, and lateral surfaces (sides) of the object.
Step-by-step explanation:
Question 5
The price of an apple is $1.25. If you get 20% discount, how much do you have to
pay?
Answers
Answer:
you will only pay one dollar I did this question before, and it was easy Please mark me brainiest please
Step-by-step explanation:
i need help with this question can someone answer fast please
Answers
Answer:
Below in bold.
Step-by-step explanation:
Petra uses the expression distance = time * speed
which is (4 + h)55 where 4 + h = total time for the 2 days.
Sierra uses the same expression but for each individual day and adds them:
4*55 + 55h
= 220 + 55h.
Part A
Jan says that a rhombus is a parallelogram and that every parallelogram is also a rhombus. Is Jan correct? {Box}
Part B
Explain why or why not.
I NEED THE ANSWER ASAP pls
Answers
Answer:
Jan is not correct
Step-by-step explanation:
Rhombus and parallelogram both have their opposite angles to be equal and the opposite sides to be parallel but Rhombus has all its sides to be equal like the square while the parallelogram has only the opposite sides to be equal like the rectangle
Nina and Jo both ran a 13 km race.
Nina took 2 hour 10 minutes to run the whole race.
Jo started the race 7 minutes later than Nina but caught up when they had both travelled 11 km.
If Nina and Jo both ran at constant speeds, what is Jo's speed to 2 dp?
Answers
We will see that Jo's speed, rounded to 2 digit places, is:
S = 6.42 km/h
How to get Jo's speed?
Remember that:
speed = distance/time.
Nina takes 2 hours and 10 minutes to finish the race, first, let's write the time in hours:
1 hour = 60 min.
Then:
10 min = (10/60) hours = 0.167 hours.
So we can write the time as:
2.167 hours.
And the distance is 13km, so her speed is:
S = 13km/2.167h = 6 km/h
The time that she takes to reach a distance of 11km (where she meets with Jo) is:
T = 11km/(6 km/h) = 1.83 hours.
Now, Jo starts 7 minutes after Nina, then the time in which he travels the 11 km is:
1.83 hours - 7 minutes.
Where:
7 min = (7min/60 min) hours = 0.117h
Then the time is:
T= 1.83h - 0.117h = 1.713 hours.
So he travels 11km in 1.713 hours, then his speed is:
S = 11km/ 1.713 hours = 6.42 km/h
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can someone please hepl me on tis
Answers
Answer:
Answer is in pictures
Step-by-step explanation:
36=6x6 90=9x10
256+7=263 104=98+6-2
678=678 81+9=90
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Answers
Answer: COSINE
Step-by-step explanation:
I PROMISE
Answer:
See below
Step-by-step explanation:
For a right triangle, with the information given, tangent function is most appropo
tan 41 = 4/x re-arrange to
x = 4 / tan(41) then x = 4.60
HELP with this please!!
Answers
[tex]~~~~\dfrac{12}{x^2 -49} \cdot \dfrac{x^2+9x+14}{9}\\\\\\=\dfrac{4}{x^2 -7^2}\cdot \dfrac{x^2 + 7x +2x +14}{3}\\\\\\=\dfrac{4}{(x+7)(x-7)} \cdot \dfrac{x(x+7)+2(x+7)}{3}\\\\\\=\dfrac{4}{(x+7)(x-7)}\cdot \dfrac{(x+7)(x+2)}{3}\\\\\\=\dfrac{4(x+2)}{3(x-7)}[/tex]
Answer:
[tex]\frac{4(x + 2)}{3(x - 7)}[/tex]
Step-by-step explanation:
Hello!
We can simplify this by factoring, and cross reducing.
Simplify[tex]\frac{12}{x^2 - 49} * \frac{x^2 + 9x + 14}{9}[/tex][tex]\frac{12}{(x+7)(x - 7)} * \frac{(x + 2)(x + 7)}{9}[/tex][tex]\frac{12(x + 2)}{9(x - 7)}[/tex][tex]\frac{4(x + 2)}{3(x - 7)}[/tex]The final simplified form is [tex]\frac{4(x + 2)}{3(x - 7)}[/tex]
Which of the following statements is true concerning ABC below?
B
11
11
A
OA. ZB is the smallest angle.
B. ZA is the largest angle.
OC. ZA is the smallest angle.
D. ZB is the largest angle.
14
C
Answers
Angle B is the largest angle. , Option D is the correct answer.
What is an Isosceles Triangle ?A triangle that has two sides equal is called an Isosceles Triangle.
It is given in the question a triangle ABC
With BA =BC
therefore angle A is equal to angle C
In a triangle the angle opposite to the longest side is the biggest angle
Therefore angle B is the largest angle.
Option D is the correct answer.
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Function k is a transformation of the parent exponential function f. what are the domain and range of function k? k(x)= 2^x
Answers
Answer:
Domain: All real numbersRange: All real numbers greater than 0If ln=12x+16 what is the length is ln units
Answers
if a= 2x-3 and b= 2x+5
determine the product of a and b by using formulae. if x=2, ab= what?
help pleasee would appreciate a lot
Answers
Answer:
a= 2x-3 b= 2x+5
ab= (2x-3)(2x+5)
= 2x*2x+ 2x*5- 3*2x- 3*5
= 4x+ 10x- 6x- 15
= 14x- 6x- 15
= 8x -15
x= 2
= 8(2)- 15
= 16-15
= 1
13) Greenhouse gases are contributors to climate change as they absorb outgoing solar radiation and convert it to thermal energy. The main contributors to the
warming are carbon dioxide, methane, dinitrogen monoxide, and F-gases. The sources of these gases are shown in the pie chart here. What questions are relevan
these gases and their impacts on the climate change over the past 100 years? Select ALL that apply.
A) Does an increase in fossil fuel combustion create a local weather change?
B) Can a legislation that reduces the F-gases help prevent a global climate change?
C) Can reforestation of trees reduce the amount of carbon dioxide that is present in the atmosphere?
D) Can an increase in meat production occur without increasing methane and nitrogen from fertilizers?
E) Can a reduced reliance on fossil fuels decrease the atmospheric carbon dioxide and prevent rising global temperatures?
Answers
Answer:
e)as we know in this current century many modern country is polluting air pollution that may lead to impact our health
Express the trig ratios as fractions in simplest terms.
(Image above)
Help please
Answers
The value of the angle P and Q are equal which is equal to 36.86°.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
From Δ it is obtained that;
[tex]\rm cos P = \frac{B}H} \\\\ \rm cos P = \frac{16}{20} \\\\ P=cos^{-1}\frac{16}{20} \\\\ P= 36.86 ^0[/tex]
[tex]\rm sin \ Q = \frac{12}{20} \\\\ Q= sin^{-1}(0.6) \\\\ Q= 36.86^0[/tex]
sin P= sin Q
Hence, the value of the angle P and Q are equal which is equal to 36.86°.
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A minor-league hockey team had the following scores for the start of the season: 3, 6, 2, 1, 2, 3, 0, 4, 5, 1, 5, 4.
If the hockey team scores 9 goals in their next game, would the mean, median, or mode be more affected?
Answers
If the hockey team scores 9 goals in their next game, it means that; the mean would be the most affected.
How to find mean, median and mode?
We are given the data set as;
3, 6, 2, 1, 2, 3, 0, 4, 5, 1, 5, 4.
Let us rearrange in ascending order to get;
0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6.
The mean = (0 + 1 + 1 + 2 + 2 + 3 + 3 + 4 + 4 + 5 + 5 + 6)/12 = 3
Median = (3 + 3)/2 = 3
Mode = 1, 2, 3, 3, 5
Now, if they score 9 goals in their next game, it means that;
Mean = 45/13 = 3.46
Median = 3
Mode remains the same
Thus, mean will be the most affected.
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You save 25% on a $199 television. How much do you save?
Answers
Answer:
49.75$Step-by-step explanation:
You save 25% on a $199 television. How much do you save?
25% = 1/4
so
199 : 4 = 49.75$
Answer:
You save $49.75
Which option below demonstrates the correct interval notation for a
continuous set of all numbers between 5 and 6, including 5, but not including
6?
OA. (5,6]
OB. (5,6)
O C. [5, 6)
OD. (5, 6}
Answers
The correct interval notation for the continuous set of all numbers between 5 and 6, including 5, but not including 6 is [5, 6) option (C) is correct.
What is interval notation?It is defined as the representation of a set of values that satisfy a relation or a function. It can be represented as open brackets and close bracket the close the brackets means the value is at the close bracket also included, and open bracket means the value at the open bracket does not include.
We have:
Continuous set of all numbers between 5 and 6, including 5, but not including 6.
From the above statement we can represent the number in the interval notation:
The numbers are between 5 and 6.
(5, 6)
As it is mentioned that 5 is included and 6 is not included, then:
[5, 6)
Thus, the correct interval notation for the continuous set of all numbers between 5 and 6, including 5, but not including 6 is [5, 6) option (C) is correct.
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