If the vectors [tex]\{\mathbf v_1,\mathbf v_2,\ldots,\mathbf v_p\}[/tex] span [tex]\mathbb R^n[/tex], then any vector [tex]\mathbf x\in\mathbb R^n[/tex] can be expressed as a linear combination of these vectors. This means there exist scalars [tex]\{c_1,c_2,\ldots,c_p\}[/tex] such that
[tex]\mathbf x = c_1\mathbf v_1 + c_2\mathbf v_2 + \cdots + c_p\mathbf v_p[/tex]
Since T is a linear transformation, we have for all x,
[tex]T(\mathbf x) = T(c_1\mathbf v_1 + c_2\mathbf v_2 + \cdots + c_p\mathbf v_p) \\\\ T(\mathbf x) = c_1T(\mathbf v_1) + c_2T(\mathbf v_2) + \cdots + c_pT(\mathbf v_p) \\\\ T(\mathbf x) = \mathbf 0 + \mathbf 0 + \cdots + \mathbf 0 = \mathbf 0[/tex]
Paul bought a student discount card for the bus. The card allows him to buy daily bus passes for $1.40.
After one month, Paul bought 19 passes and spent a total of $31.60.
How much did he spend on the student discount card?
Paul spent $________
on the student discount card.
Answer:
$5
Step-by-step explanation:
First, we need to find the total amount he spent on the passes.
We just need to multiply the number of passes by the price of each pass.
19 x 1.4 = 26.6
This means he spent $26.6 on the passes.
Now, we can find out how much he spent on the discount card.
Just subtract his total spending amount by the amount he spent on passes.
31.6 - 26.6 = 5
He spent $5 on the discount card.
Job A: $8.95 per hour (40 hours a week)Job B: $16,400 per year
a. Which job pays more?
b. How much more?
Answer:
A) Job A pays more.
B) $784 dollars more than job B.
Step-by-step explanation:
We know that job B Makes $16,400 per year. We just need to find out how much job A makes in a year.
Job A: 8.95 x 40= $358 in a week.
We know that there is 4 weeks in a month and 12 months in a year.
12 x 4 = 48.
48 weeks in a year x $358 in a week= $17,184
We now know that job A pays more than iob B.
In order to find out how much more we will use the formula Job A- Job B= Difference between.
$17,184-$16,400= $784
Job A pays $784 dollars more than job B.
Please answer number 1 and 2 correctly and I will give you brainlist only answer if your willing to do the math I give brainlist for the people who take there time and do it
Due in 20 mintues
Answer ASAP
Answer:
1) A: (10, 7) B: (14,7) C:(13,3) D:(9,3)
A’: (3,7) B’ (7,7) C’ (6,3) D’ (2,3)
2) The y coordinate stayed the same between the image and pre-image, but the x-coordinates decreased by 7.
Step-by-step explanation:
Write a compound inequality for the graph shown below.
Use x for your variable.
Step-by-step explanation:
what i understand is x is a axis
Hi could someone answer this for me and explain please
Answer:
You were supposed to use Desmos Graphing Calculator, not actually do this
Write the coordinate of the point in the diagram.
Write answers using no spaces. For example (3,2,0) or (-2,-7,9).
5
--5
5 y
5
-5
HELPPPP
Answer:-5,5,5
Step-by-step explanation:
help me with this please
Answer:
17
Step-by-step explanation:
BC=CD=EF=FA=2
AB=DE=4.5
Draw 4 by 2 boxes in 1cm, and measure it diagonally it will measure 4.5 if each square has the same length
What is the answer to
−1.4 + (−1.2) ?
(I've looked everywheres on Brainly and found no answers that I need.)
Answer:
-1.6
Step-by-step explanation:
Since they're both negative and you're adding, you would do the same if you added normally, but you would add a negative sign.
Answer:
-2.6
Step-by-step explanation:
-1.4 + (-1.2)
-1.4 - 1.2
-(1.4+1.2)
-2.6
Remember that adding a negative is the same as subtracting a positive.
Your printer takes 36 seconds to print a small photo and 60 seconds to print a large one.
a.) Write an expression for the time (in seconds) your printer would take to print a batch
including both small and large photos.
b.) Find the time your printer would take to print 12 small photos and 5 large photos.
Answer: for part B = 732 seconds or 12.2 minutes
Step-by-step explanation: 36 seconds times the amount of small photos 12 = 432 plus 60 seconds times the amount of large 5 photos = 300 , 432 plus 300 equals 732 seconds
(36 x 12) + (60 x 5) = 732
Evaluate Expression
|-7(2)|
Answer:
14
Step-by-step explanation:
[tex] | - 7(2)| [/tex]
[tex] | - 7 \times 2| = | - 14| [/tex]
[tex] = 14[/tex]
Find the GCF of 10 and 21
Answer:
the GCF of 10 and 21 is 1
Step-by-step explanation:
The point (10,-6) is shifted up 4 units and left 8 units. What are the coordinates of
the new point?
Answer:
2,-2
Step-by-step explanation:
you move 10 x to the left 8 which is now 2
you also move the -6 y up 4 which is now a -2
and end up with 2,-2
Answer:
2,-3
Step-by-step explanation:
because it goes up 4 and over 8
Add.
Your answer should be an expanded polynomial in standard form
(-5k^3 - 6k + 1) + (-6k^2 + 5k) =
Answer:
[tex]( - 5k {}^{3} - 6k + 1) + ( - 6k {}^{2} + 5k) \\ - 5k {}^{3} - 6k + 1 + (6k ^{2} + 5k) \\ - 5k {}^{3} - 6k + 1 + 6k {}^{2} + 5k \\ - 5k {}^{3} + 6k {}^{2} - 6k + 5k + 1 \\ 1k {}^{5} - 1k + 1 \\ (1k \times 1k \times 1k \times 1k \times 1k) - 1k + 1 \\ 5k - 1k + 1 \\ 4k + 1 \: \: anawer[/tex]
Step-by-step explanation:
please mark me brainliest pleaseSolve 7x- c= k for x.
O A. x = 7(k-c)
O B. x =
*=***
O C. x = 7(k+ C)
K-c
O D. X=
7
- KM
the answer is in the photo
What factors of-40 have the sum of 6
Answer:
10 and -4
Step-by-step explanation:
We just need to try several possibilities and it turnout that 10 and -4 satisfy the requirement since
10 x (-4) = -40
10 + (-4) = 6
Answer:
[tex]{\huge{\boxed{\mathcal{\pink{answer}}}}}[/tex]
10and-4
please help meee
find:
x=
y=
z=
Hi there!
(z)
We know that the two segments with "z" are congruent, so:
z + 15 = 5z + 9
Solve for z:
15 = 4z + 9
6 = 4z
z = 3/2
(y)
We know that (7y + 6) = 90° (indicated by the square angle), so:
7y + 6 = 90
7y = 84
y = 12°
(x)
Segments (x + 26) and (3x - 8) are congruent, so:
x + 26 = 3x - 8
26 = 2x - 8
34 = 2x
x = 17
Help please, sorry again..
Answer:
AB+BC=AC
8x+8+4x+2=22
12x+10=22
12x=22-10
12x=12
x=12/12
1
Simplify the expression by combining like
terms. Write the terms from the highest to the
lowest power of the variable.
7b^2- b + 3b + 6 - 3b^2+ 5 + 2b^2+ 7b
Answer:
Below
Step-by-step explanation:
First we combine your first set of terms,
7b^2 + 2b^2 = 9b^2
There's a subtraction hidden in there!
9b^2 - 3b^2 = 6b^2
Next we do the same thing for the second term,
3b + 7b = 10b
but there's a subtraction in the expression!
10b - b = 9b
Then we finish with our third term
6 + 5 = 11
Answer:
6b^2 + 9b + 11
What is 8(9h - 6) simplifyed
Jae is a real estate photographer. The amount he earns in one week is a linear function of the number of houses he photographs.
If he photographs 2 houses, he earns $315, and if he photographs 7 houses, he earns $1015.
a. Create a linear model for Jae's earnings (y) (in dollars) as a function of the the number of houses he photographs (x), and put
the model in slope-intercept form.
Equation of a linear function is defined by equation y = mx + b,
where m = slope of the line and b = y-intercept
Linear model representing a function for the earning (y) to photograph the houses (x) will be,
y = 140x + 35
Let the linear equation representing the earnings to photograph the houses,
y = mx + b
If we graph a line with two variables, earnings from photography on y-axis and the number of houses at x-axis,
Slope of the line 'm' = [tex]\frac{\triangle y}{\triangle x}[/tex]
If two points lying on the line are (2, 315) and (7, 1015).
Slope of the line 'm' = [tex]\frac{1015-315}{7-2}[/tex]
= [tex]\frac{700}{5}[/tex]
= 140
Therefore, equation of the line will be,
y = 140x + b
Since, (2, 315) lies on the line,
315 = 140(2) + b
315 = 280 + b
b = 35
Now the equation will be,
y = 140x + 35
Therefore, linear model representing a function of the earning (y) to photograph the houses (x) will be,
y = 140x + 35
Learn more,
https://brainly.com/question/1179072
The accompanying data set lists the numbers of children of world leaders. Use the data to construct a frequency distribution using six classes and to create a frequency polygon. Describe any patterns.
Frequency polygons are used to show the trend between the elements of a given dataset and the frequency of each element.
From the dataset, we have the following class of 6 and the frequency:
[tex]Class \to Frequency[/tex]
[tex]0 - 2 \to 9[/tex]
[tex]3 - 5 \to 18[/tex]
[tex]6 - 8 \to 7[/tex]
[tex]9 - 11\to 0[/tex]
[tex]12 - 14 \to 5[/tex]
[tex]15 - 17 \to 4[/tex]
So, the frequency distribution is as follows:
[tex]\begin{array}{ccc}{Class}&{Frequency}&{x}\\0-2&9&1\\3-5&18&4\\6-8&7&7\\9-11&0&10\\12-14&5&13\\15-17&4&16\end{array}\right][/tex]
The class midpoint (x) is calculated by calculating the mean of each class.
For instance, the midpoint (x) of class 0 - 2 is:
[tex]x = \frac{1}{2}(0+2) = \frac{1}{2} \times 2 =1[/tex] ---- and so on
The class midpoint (on the x-axis) is plotted against the frequency (on the y-axis) to create the frequency polygon (see attachment)
Read more about frequency polygons at:
https://brainly.com/question/1581651
the set of first five months of a year
Answer:
January, February, March, April, May
Step-by-step explanation:
Solve f(x) = 2 for x.
f(x)=2
f(x) is the function, x inside represent the input, while the value the function is equal to is the output.
So to solve for x, look at where f(x)/ y is equal to 2. And, from there the function is equal to 2 when x=-1.
So your answer is x=-1
The following set of points are on the graph of a function:
X Y
2 5
3 6
4 7
5 8
6 9
7 10
Which point would be on the inverse of this function?
A (-6-3)
B (9,6)
C (-10-7)
Answer:
your needed answer is 9,7 ok
Please helpppppp????
Answer:
hii
Step-by-step explanation:
which question do you want
if a and b are roots of the equation ax²+bx+c=0 obtain the value of a/b +b/a
[tex]\\ \sf\longmapsto \dfrac{a}{b}+\dfrac{b}{a}[/tex]
[tex]\\ \sf\longmapsto \dfrac{a^2+b^2}{ab}[/tex]
[tex]\\ \sf\longmapsto \dfrac{(a+b)^2-2ab}{ab}[/tex]
1. Milania makes $17 per hour and works 30 hours per week. She loses 20% of her check to taxes.
What is the amount of the weekly check? Select all answers that apply. *
(1 Point)
O $510
O $408
O (17)(30)
O (17)(30)-(.2)(17)(30)
HELP
Answer:
please give my answer first
Answer:
408 is correct
0.8 x 510 = 408
Step-by-step explanation:
When we get a sale value or reduced value to find
This is a short cut of workings in bold to find correct value.
10% of 510 = 51
20% of 510 = 102
510-102 =408
17 x 30 = 510 Not correct as calculated before taxes.
100-80/ 100 = 0.8
0.8 x 510 = 408
408/510 = 0.8 Is correct
0(17) (30) = 510 Not correct as calculated before tax
510 - 2(17)(30) = 510 i Not correct as calculated before tax.
someone plz help radius is 1.5 ft
Answer:
Area =
[tex]\pi {r}^{2} [/tex]
=3.14×1.5^2
=3.14×2.25
=7.065
Hence the area of circle is 7.065.
2485 pounds of sand are being packed into bags that weigh 45 pounds each.
How many full bags of sand can be packed?
Answer:
55 full bags
Step-by-step explanation:
Answer:
55 bags
Step-by-step explanation:
which parts of the number line represent the factors? which part shows the product?
Answer:
The lines on the number line represent the factors. The product is the arrow
Step-by-step explanation:
my explantion is in the answer ig
