Rewrite the system of equations in matrix form.
[tex]\begin{bmatrix}1&2&-2\\3&7&-1\\2&4&m\end{bmatrix} \mathbf x = \mathbf b[/tex]
This system has a unique solution [tex]\mathbf x = \mathbf A^{-1}\mathbf b[/tex] so long as the inverse of the coefficient matrix [tex]\mathbf A[/tex] exists. This is the case if the determinant is not zero.
We have
[tex]\det(\mathbf A) = m+4[/tex]
so the inverse, and hence a unique solution to the system of equations, exists as long as m ≠ -4.
The soup pot is 8 inches tall with a radius of 3 inches.
What is the volume of the soup pot?
Answer:The volume of the soup pot is of 226.19 cubic inches.
Step-by-step explanation:
Format of a soup pot:
A soup pot has a cylindrical format.
Cylinder volume:
The volume of a cylinder, with radius r and height g is given by:
The soup pot is 8 inches tall with a radius of 3 inches.
This means that
What is the volume of the soup pot?
The volume of the soup pot is of 226.19 cubic inches.
40 O Wide Mouth You MRW
Solve Multi-step problems Outlevel
Question 2
Carly sold 18 rolls of wrapping paper. That is 2 times as many rolls
as Jasmine sold.
How many rolls of wrapping paper did they sell altogether?
Rolls of wrapping paper sold
Carly
Jasmine
?
rolls of wrapping paper
Answer:
54 wrapping papers sold
What is the name of the process you use to rewrite a quadratic function from standard form into vertex form?
Graphing the transformation
Completing the square
Creating vertex form
Transforming the parent function.
Answer:
completing the square
Step-by-step explanation:
You can change a quadratic equation from standard form to vertex form by completing the square!
What is the equation of a line that passes through the points (3, 6) and (8, 4)?
Answer:
[tex]y=-\frac{2}{5} x+\frac{36}{5}[/tex]
Step-by-step explanation:
→ Find the gradient
[tex]\frac{4-6}{8-3}= \frac{-2}{5} =-\frac{2}{5}[/tex]
→ Write into y = mx + c format
[tex]y=-\frac{2}{5} x+c[/tex]
→ Substitute in ( 3 , 6 )
[tex]6 = -\frac{6}{5} +c[/tex] ∴ [tex]c = 6+\frac{6}{5} =\frac{36}{5}[/tex]
→ Rewrite into y = mx + c format
[tex]y=-\frac{2}{5} x+\frac{36}{5}[/tex]
A metal rod is
7
8
meters long. It will be cut into pieces that are each
1
56
meters long. How many pieces will be made from the rod?
Answer:
5
Step-by-step explanation:
I'm not so sure with the number's you submited but I assume it's 7,8m and 1,56 m
1. convert them to cm (780 cm and 156 cm )
2. 780/156 = 5
(HELP PLEASE 1!!!!!1!!) How can you tell if data is continuous or discrete
Answer:
Socratic app
Step-by-step explanation:
it will help you
How to divided 4 and 2/4
Answer:
8
Step-by-step explanation:
turn 2/4 into fraction by dividing 2 by 4 equals to 0.5 then divide 4 by 0.5 equals 8
Without graphing, describe the transformation from the parent function
f(x) = | x |.
1. y = 5| x |
2. y = 1/3 I x I
3. y = 3| x |
Answer:
1. y = 5|x| ⇒vertical stretch
2. y = ⅓|x| ⇒vertical compression
3. y = 3|x| ⇒vertical stretch
Step-by-step explanation:
Given the parent absolute value function, f(x) = |x|:
1) y = 5|x|The transformed function, y = a|x|, where |a| > 1, represents the vertical stretch of the parent graph by a factor of a.
A vertical stretch is a transformation to the parent function where there is an increase in distance between corresponding points of a graph.Therefore, the absolute value equation, y = 5|x|, represents a vertical stretch of the parent function by a factor of 5. The graph of y = 5|x| is narrower than the parent function, f(x) = |x|.
2) y = ⅓|x|The transformed function, y = a|x|, where 0< |a| < 1, represents the vertical compression of the parent graph by a factor of a.
A vertical compression is a transformation to the parent function where there is a decrease in distance between corresponding points of a graph.Therefore, the absolute value equation, y = ⅓|x|, represents a vertical stretch of the parent function by a factor of ⅓. The graph of y = ⅓|x| is wider than the parent function, f(x) = |x|.
3) y = 3|x|
Similar to question 1, the absolute value equation, y = 3|x|, represents a vertical stretch of the parent function by a factor of 3. The graph of y = 3|x| is narrower than the parent function, f(x) = |x|.
Attached are the graphs of the given absolute value functions, where it shows the transformations to the parent function, f(x) = |x|.
Write 0.007 as a fraction.
Do not try to simplify your answer.
05
금
Х
5
?
Answer:
7/1000
Step-by-step explanation:
A patients IV bag contains 750mL. Four hours later, the IV bag contains 450mL.
a) Determine the rate at which the bag is draining.
b) Use your answer from (a) to predict how many mL of IV fluid are left in the bag after 6 hours.
(a) The rate at which the bag is draining is 75mL/h.
(b) After 6 hours, the remaining fluid is =0 mL.
What is rate?Rate is a measurement of change of a quantity with respect to another quantity.
Given that,
Initial volume of bag=750 mL,
After 4 hours later, the volume of bag= 450.
(a)
To determine the rate of draining,
The change of volume in 4 hours= 750-450=300
The change of volume in 1 hour = 300/4=75
So, the rate of draining= 75mL
(b)
To determine the remaining volume of bag after 6 hours,
The volume drains in 1 hour=75 mL
The volume drains in 6 hours = 75×6=450
The remaining fluid = 450-450=0
The fluid remains after 6 hours is 0mL.
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What is the median of these figure skating ratings? 5.0 6.0 7.0 7.5 8.0 9.0 10.0
[tex] \frac{25}{ \sqrt[3]{5} } [/tex]write ^ as a power of 5
Answer:
[tex]5^{\frac{5}{3} }[/tex]
Step-by-step explanation:
Using the rules of exponent
[tex]\sqrt[3]{a}[/tex] = [tex]a^{\frac{1}{3} }[/tex]
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]
[tex]\frac{25}{\sqrt[3]{5} }[/tex]
= [tex]\frac{5^2}{5^{\frac{1}{3} } }[/tex]
= [tex]5^{\frac{6}{3}-\frac{1}{3} }[/tex]
= [tex]5^{\frac{5}{3} }[/tex]
pls help me i will mark as brilliant
Answer:
6
Step-by-step explanation:
[tex]45 \: min = 0.75 \: hour[/tex]
[tex]0.75 * 8 = 6 \: hours[/tex]
Help!!! Show work!!!!!
Answer:
1. (-2,-5) (-1,-1) (0,3) (1,7) (2,11)
2. (-8,-4) (-4,-3) (0,-2) (4,-1) (8,0)
3. (-4,3) (-2,2) (0,1) (2,0) (4,-1)
4. (-2,-1) (-1,2) (0,5) (1,8) (2,11)
Step-by-step explanation:
1. Slope = (11-7)/(2-1) = 4/1 = 4/1
y-intercept: 7 - (4)(1) = 3
Start in the vertical line (y) on 3, 4 up and 1 to the right (you need to points to trace a line)
2. Slope = (0- - 2)/(8-0) = 1/4
y - intercept = -2-(1/4)(0) = -2
Start on -2 vertical line, 1 up and 4 to the right.
3. Slope = (1-0)/(0-2 = -1/2
y-Intercept: 0 - (-1/2)(2)=1
Start on 1 vertical line then 1 down and two to the right (the slope is negative, the line goes downhill)
4. Slope: (8-1)/(1-0) = 7/1
y-intercept = 1 - (7)(0) = 1
Start on 1 vertical line (y) , seven up and 1 to the right.
Which methods of evaluating a capital investment project ignore the time value of money?
Answer: Varies
Step-by-step explanation:
It involves any that is not concerned with making a profit.
(I am giving branlest) (plz help only if you understand )
Which expression has the sum of twenty six twentieths?
two fifths plus four tenths
four fifths plus two fourths
one half plus three tenths
three fourths plus two fifths
b. four fifths plus two fourths
Step-by-step explanation: Change the fractions to their equivalents in 20ths-- like finding the common denominator.
Divide the original denominator into 20, then multiply the result by the original numerator to get the new numerator.
4/5 20/5 = 4 4×4 = 16 so 4/5 is equivalent to 16/20
2/4 20/4 = 5 5×2 = 10 so 2/4 is equivalent to 10/20
Add: 16/20 + 10/20 = 26/20
brainliest me
A local hamburger shop sold a combined total of 822 hamburgers and cheeseburgers on Monday. There were 72 more
cheeseburgers sold than hamburgers. How many hamburgers were sold on Monday?
Answer:
650
Step-by-step explanation:
822-72=650
What is the density of the oak board? Show your work.
What is the density of the oak board? Show your work.
Answer:
it is 5.5 inches wide, 1.5 inches thick and 3 feet long
Answer: Im not really sure if this is correct but it's what I put so I hope it is. If it's incorrect please let me know.
Step-by-step explanation:
We first need to find its mass and volume.
Mass: 8.05
Volume: Turn 3 feet into inches: 36
36in × 1.5in × 5.5in =297
Density : 8.05lb ÷ 297 cubic inches = 0.027 cubic inches
For the given equation, what is the step to clear the fractions and who -- Multiply both sides by 6 to get 2-1 =7 Multiply both sides by 12 to get 2y - 1 = 7 Multiply both sides by 6 to get dy - 1 = 21 Multiply both sides by 18 to get 12y - 3 = 7
Step-by-step explanation:
you should add the equation for one to answer
Plz help me well mark brainliest! Only if u are right!
Answer:
[tex]x=-6\frac{1}{2}[/tex]
Step-by-step explanation:
I hope this help you
Answer:
B. x = -6 1/2
Step-by-step explanation:
13 3/4 + x = 7 1/4
55/4 + x = 29/4
x = -26/4 ~ -6 1/2
525, 650, 539, 643, 764, 539, 687
What is the interquartile range of these numbers
Answer:
148
Step-by-step explanation:
sorry, im not sure how to solve it, but its 148
hope this kinda helped :)
mark me brainliest :D
In BCD, BC = DB and mB = 139º. Find mD.
Would appreciate the help
i dont know :))))))))))))))))))))))
5 1/8 - 3 2/3 =? ..............................
Answer:
1 11/24
Step-by-step explanation:
5 1/8= 41/8
3 2/3 = 11/3
41/8 -11/3 = (41*3)/(8*3) -(11*8)/(3*8)
=123/24 -88/24
= (123-88)/24
=35/24
=1 11/24
Triangle DEF is dilated by a scale factor of 2/3 to form triangle D´E´F´. What is the measure of side DE?
Answer:
DE = 30
Step-by-step explanation:
Let X be the measure of side DE.
You can write this equation to represent the problem:
[tex]x *\frac{2}{3} =20[/tex]
The measure of DE (x) is multiplied by the scale factor of [tex]\frac{2}{3}[/tex] to become 20.
Solve for x:
[tex]x *\frac{2}{3} =20\\\frac{2x}{3} =20\\2x=60\\x=30[/tex]
DE = 30
Jalisa buys candles in bulk to sell in her store. Her cost for each candle is $9
. She marks up the candles 85%
. How much does Jalisa charge per candle?
Answer:
$16.65
Step-by-step explanation:
To turn percentages into coefficients divide by 100, so 85% become .85. She marks them up or adds a cost of 85% so instead of using .85 we use 1.85. so 1.85 times initial cost of candle is 1.85*9=16.65
The graph of y = (x -k)? is shown below.
у
61
5
لما له
1
-3-2-1
1 2 3 4 5 6 7
X
1
-2
-3
What is the value of k?
Answer:
(7) 3 2 2x 23 xy y - 10 0 Solution The equation 2x2 23xyy2-100 has A2,B 23, and (1 13) as p3 (Example 2). 13: 271279. 2 m) long and 6 ft Step-by-step explanation:
Need some help!!!!! This is hard for me!
Answer:
X-intercept: (25,0)
Y-intercept: (0,55)
Step-by-step explanation:
.........................
Answer:
[tex]2[/tex]
Step-by-step explanation:
Let [tex][n][/tex] denote the area of some polygon [tex]n[/tex].
The sum of the area of quadrilaterals BCDE and MNDE is equal to [tex][ABC]-([MBE]+[NDC]+AMN])[/tex] (big triangle subtracting the three smaller triangles that aren't part of BCDE or MNDE).
Let the area of triangle ABC be [tex]\alpha[/tex].
Triangle AMN is similar to triangle ABC. Because their side lengths are in ratio 1:2 respectively, the ratio of the area of triangle AMN to triangle ABC is [tex]1:2^2=1:4[/tex].
Therefore, [tex]\displaystyle [AMN]=\frac{1}{4}[ABC]=\frac{1}{4}\alpha[/tex].
Now for triangle NDC, NDC is similar to triangle AMC. Since M is the midpoint of AB, AMC is half the area of ABC. The ratio of the side lengths between triangle NDC and triangle AMC is [tex]1:2[/tex] because the D is the midpoint of MC, so it follows the ratio of their areas must be [tex]1:4[/tex], respectively.
Therefore, [tex]\displaystyle[NDC]=\frac{1}{4}[AMC]=\frac{1}{8}[ABC]=\frac{1}{8}\alpha[/tex].
We can use the same concept for triangle MEB. Triangle MEB is similar to triangle ANB, and the ratio of their sides is also [tex]1:2[/tex], since E is the midpoint of BN. Their areas are in the ratio [tex]1:2^2=1:4[/tex] and we have [tex]\displaystyle [MBE]=\frac{1}{4}[ANB]=\frac{1}{8}\alpha[/tex].
Thus,
[tex]\displaystyle \frac{[ABC]}{[BCDE]+[MNDE]}=\frac{\alpha}{\alpha-\frac{1}{4}\alpha-\frac{1}{8}\alpha-\frac{1}{8}\alpha}=\frac{\alpha}{0.5\alpha}=\frac{1}{\frac{1}{2}}=\boxed{2}[/tex]
PLEASE HELP URGENT
use the graph to solve the equation. the topic is quadratic equations
pic attached with graph & equation
Answer:
3 and-2
Step-by-step explanation:
The point of intersection
Answer:
x=-2, x=3
Step-by-step explanation:
x²-x-6=0
x²-3x+2x-6=0
x(x-3)+2(x-3)=0
(x+2)(x-3)=0