Mark each statement True or False.
1. The equation Ax = b is referred to as a vector equation.
A. True
B. False
2. A vector b is a linear combination of the columns of a matrix A if and only if the equation Ax = b has at least one solution.
A. True
B. False
3. The equation Ax = b is consistent if the augmented matrix [A b] has a pivot position in every row.
A. True
B. False
4. The first entry in the product Ax is a sum of products.
A. True
B. False
5. If the columns of an m x n matrix A span Rm, then the equation Ax = b is consistent for each b in Rm.
A. True
B. False

Answers

Answer 1

Answer:

True

Step-by-step explanation:

False

True

False

True

True


Related Questions

Mark has already earned money for mowing lawns over the summer when he takes a job at the local grocery store, earning $9.50 per hour. After working 16 hours at the grocery store, Mark has earned a total of $292. Write a linear equation to represent the amount of money m that Mark has earned this summer after working h hours at the grocery store.

Answers

Step-by-step explanation:

M=9.5 (16,292)

(y=mx+b)

292=9.5(16)+b

The linear equation m = 9.50 h + 140 represents the amount of money m that Mark has earned this summer after working h hours at the grocery store.

What is the Linear equation?

A linear equation is defined as an equation in which the highest power of the variable is always one.

Mark takes a job at the local grocery store, earning $9.50 per hour.

After working 16 hours at the grocery store, he earned a total of $292.

As per the given question, we can see points (16, 292)

Here earning $9.50 per hour can represent a slope of a linear function

Thus, M = 9.5 (16, 292)

The standard linear equation is given by,

⇒ m = Mx+b ....(i)

Substitute the values in the above equation,

292 = 9.5(16) + b

b = 292 - 152

b = 140

Substitute the value b = 140 in the equation(i),

⇒ m = 9.50 h + 140

Thus, the linear equation m = 9.50 h + 140 represents the amount of money.

Learn more about the Linear equations here:

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If 7(p + 3) = – 28, then p = ? F. 4 G. 1 H. – 1 J. – 4 K. – 7

Answers

The answer to this problem will be -7

What are the coordinates of the point on the directed line segment from (5,5) to
(8,-4) that partitions the segment into a ratio of 1 to 2?

Answers

Answer:

[tex](x,y) = (6,2)[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (5,5)[/tex]

[tex](x_2,y_2) = (8,-4)[/tex]

[tex]m:n = 1:2[/tex]

Required

Determine the coordinate of the partition

This is calculated using:

[tex](x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]

Substitute values for m,n,x's and y's

[tex](x,y) = (\frac{1 * 8 + 2 * 5}{1+2},\frac{1*-4 + 2*5}{1 + 2})[/tex]

[tex](x,y) = (\frac{18}{3},\frac{6}{3})[/tex]

[tex](x,y) = (6,2)[/tex]

Will mark brainliest!!!
Solve for x

Answers

Answer:

2

Step-by-step explanation:

2 pretty suree hope this helps

Please help!

if rstu is a rhombus, find m<uts ​

Answers

Answer:

[tex]\angle UTS = 40[/tex]

Step-by-step explanation:

Given

See attachment

Required

Find [tex]\angle UTS[/tex]

From the attachment:

[tex]\angle RSU = 70[/tex]

Because it is a rhombus (all equal sides), then the following relationship exists between the angles

[tex]\angle RSU = \angle SUR = 70[/tex]

Considering triangle RSU.

[tex]\angle RSU + \angle SUR + \angle URS = 180[/tex]

This gives:

[tex]70 + 70 + \angle URS = 180[/tex]

[tex]140 + \angle URS = 180[/tex]

[tex]\angle URS = 180-140[/tex]

[tex]\angle URS = 40[/tex]

[tex]\angle UTS = \angle URS = 40[/tex] --- Opposite angle of a rhombus


Tania Ramirez purchases 25 hanging file folders for $6.99. What is the price
per folder?

Answers

25/6.99 (25 Folders) ($6.99) = $3.58 per folder

Graph -3x+ 5y = -27 HELP ASAP

Answers

Answer:

Step-by-step explanation:

I added a screenshot of the graph hope it helps

Please answer number 3 please

Answers

Answer:

3.

a) False

b) False

c) False

d) True

e) False

Answer: FALSE, FALSE, FALSE (there is a bar under the > sign which means it can be equal), TRUE, FALSE (if 34 is the solution then it equals x, and that number would be multiplied by five and added to one, which is well over 35)

Compute. 321 divide 24

Answers

The answer is 13 quotient 9 remainder

Order these numbers from least to greatest.
7.987, 8.4082, 8.8, 8.48

Answers

Answer:

7.987, 8.4082, 8.48, 8.8

Step-by-step explanation:

there u go

Answer:

7.987, 8.4082, 8.48, 8.8

Step-by-step explanation:

7 is less than 8 (7 < 8) so it would be first. The first place after the decimal, also known as the tenths place decides the numbers that come after. 8.4082 and 8.48 seem similar but are pretty different. When you round 8.4082 it becomes 8.41 which is less than 8.48. That leaves just 8.8 which is your highest number.

Kiran is getting dinner for his drama club on the evening of their final rehearsal.



The budget for dinner is $60.



Kiran plans to buy some prepared dishes from a supermarket. The prepared dishes are sold by the pound, at $5.29 a pound. Kiran also plans to buy two large bottles of sparkling water at $2.49 each.



What is the maximum number of pounds of prepared dishes can Kiran purchase and stay within the budget?

Answers

4.98 for the water and for the food it’s 52.9 dollars for 10 pounds.

The scale on a map is
1 inch
250 miles
On the map, the distance from Nashville, TN to Los Angeles, CA is 8.02 inches.
What is the actual distance from Nashville to Los Angeles?

Answers

Answer:

2005 miles from Nashville to Los Angeles

Step-by-step explanation:

1 250 x 8 = 2000

0.02 is equal to 2%

2% of 250 is

well 1% of 250 is 2.50 multiplied by two that's 5

Ricardo works as a real estate agent. he earns 6% commission for every how he sells. last month, Ricardo sold two homes. One sold for $135,000 and the other sold for $160,000. how much did Ricardo earn by selling these two homes?

Answers

Add the two houses together:

135000 + 160000 = 295,000

Multiply the total by the percentage:

295,000 x 0.06 = $17,700

He earned $17,700

Fosmine lounches a model rocket from a elift. The rocket goes up 16.8 feet above the cliff,
then it drops 28.1 feet into the ocean below.
Complete the statements to describe how to determine the change in height from the cliff to
the ocean below.

Answers

Answer: The final answer I got is -44.9

Step-by-step explanation:  At the first chose I put Positive, then at the second choise I put negative, at the third choose I put 16.8-(-28.1), and at the last choice I put -44.9.

The table below represents some points on the graph of a linear function. Which function represents the same relationship?​

Answers

Answer:

3rd is the answer

Step-by-step explanation:

caculator duhhhhhhhhhh

Complete the square. Fill in the number that makes the polynomial a perfect-square
quadratic.
h2 - 10h +

Answers

Answer:

h² - 10h + 25

Step-by-step explanation:

h² - 10h + _ → (h - 5)² = h² - 10h + 25

A cable TV company has a $35 installation fee and a $15 monthly rate. Write an equation in slope-intercept form to describe the cost of cable TV for any number of months. Use x for the number of months and y for the total cost.

Answers

Answer:

y=15x+35

Step-by-step explanation:

15 every month and 35 for instant charge

Circle O has a center at (-2, -2) and a diameter of 10 units. Which point lies on circle O ?

Answers

Answer:

Step-by-step explanation:

Many points lie circle O

The points with a distance of 10 units will be on the circle

eg. (8,-2) or (4,6) both lie on the circle as they have a distance of 10 units from the center.

Lily and violet live 30 miles apart on a trail. They both start running towards each other with a plan to meet. Lily is moving at 4 miles per hour while violet runs 6 miles per hour. How long does it take for them to meet?

Answers

Answer:

3 hours

Step-by-step explanation:

Judy ran the distance s. Monday 0.35, Wednesday 0.2 and Friday 0.25. write the total distance in miles as a fraction in simplest form

Answers

Answer:

4/5

Step-by-step explanation:

0.35 + 0.2 + 0.25 = 0.80

Use similar triangles to calculate the height, h cm, of triangle ABE.

Answers

Answer:

h=24cm

Step-by-step explanation:

∠DBC=∠ABE (vertically opposite angles)

∠CDB=∠AEB (alternate angles)

∠DCB=∠BAE (alternate angles)

Therefore the triangles DBC and ABE are similar.

That means that the triangles are in ratio to each other.

CD:AE

10:20

1:2

This means that the height of DBC is half the height of BAE.

Since the sum of their heights is 36, h is 2/3 of 36.

The height , h of the traingle is 24 cm.

What are Similar Triangles ?

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

In other words, similar triangles are the same shape, but not necessarily the same size.

In the question , from the figure it is clear that

ΔDBC and  ΔABE are similar with AAA Similarity as

∠DBC=∠ABE (vertically opposite angles)

∠CDB=∠AEB (alternate angles)

∠DCB=∠BAE (alternate angles)

According to the theorem if the triangles are similar their sides are in ratio to each other.

CD : AE = 10 : 20 = 1 : 2

This means that the height of DBC =  half the height of ABE.

h+h' = 36

h+h/2 = 36

h= 24 cm

Therefore height of ΔABE is 24 cm .

To know more about similar triangles

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In a study of pain relievers, 100 people were given product A, and 71 experienced relief. In the same study, 50 people were given product B, and 31
experienced relief.
Fill in the blanks of the statement below to make the statement the most reasonable possible.
Product? performed worse in the study because only % got relief with this product, whereas % got relief with Product?

Answers

Answer:

Product B performed worse

Step-by-step explanation:

71% experienced relief with Product A

31/50, which is 62%, got relief with Product B

Everything in a store that is going out of business is on sale for a 60% discount.
Janine wants to buy a power drill priced at $67.99 and a set of drill bits priced at
$18.49. The sales tax is 7%. How much will Janine pay for everything after the
discount and sales tax are applied? *

Answers

67.99-60%= 27.20
18.49-60%= 7.40
27.20+7.40= 34.60
34.60+ 7%= 37.02

Answer:

37.02

Step-by-step explanation:

that's the answer, hoped it helped :)

Find the Indicated term of the sequence by repeatedly multiplying the first term by the common ratio.Use a calculator.

2-10,50, 6th term
The 6th term of the sequence is____

Answers

Answer: -6250

Step-by-step explanation: The common ratio is -5. By multiplying the terms by this ratio, the sixth term is -6250.

Write 3.148 in word form

Answers

Answer:

Three thousand, one hundred, forty eight

Step-by-step explanation:

The 3.148 refers to Three thousand, one hundred, forty eight in word.

What is a numerical expression?

A numerical expression is an algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

WE need to find 3.148 in words.

or

It can be written as expression;

3.000+.100+.040+.008

Therefore, it means Three thousand, one hundred, forty eight

The 3.148 refers to Three thousand, one hundred, forty eight in word.

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Let f(x) = 2x and g(x)=2^x. Graph the functions on the same coordinate plane. What are the solutions to the equation f(x) = g(x)? x = □ or x = □. ( I posted a picture of the whole problem also.) Will Mark Brainliest. Need ASAP. ​

Answers

Answer:

Therefore, x is 1 and 2.

Step-by-step explanation:

As you plot both equations on the same graph, you will get something like this, shown in the graph.

Then, you have to find the x solutions where they intersect.

So, both equations intersect at x = 1 and 2.

✨PLS HELP ILL GIVE BRAIN ALIST ✨Jared has $476.24
saved. Which equation
can be used to
determine
m, the
amount of money he
still needs to earn to
reach his goal of saving
$500.00?

Answers

Answer:

the 1st one

Step-by-step explanation:

he's savings estimate to 476.24 and to reach his goal of 500 usd he has to add a certain amount of money, portrayed by m

It’s will be the first one because it’s trying to save up money so they are trying to add money to it’s will be 476.24+m=500

The measure of the distance an object travels in a certain length of time is the objects

Answers

Answer:

speed

Step-by-step explanation:

hope this helps

Find the annual premium for the insurance policy described in the following problem.



A policy for 10/20 bodily injury auto insurance for a driver in Class 1A.

317.80
365.40
383.60
440.70

Answers

Answer:

317.80

Step-by-step explanation:

help i don’t know how to do this

Answers

Answer: E and F

Step-by-step explanation:

really long story, but those two are the correct answers. hope this helps! :)

E and F is the correct mathematical answer thou shall not challenge it
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