Answers
Answer:
A. [tex]\orange {\begin{bmatrix} 4 & 11 \\ 3 & 0 \end{bmatrix}} [/tex]
Step-by-step explanation:
[tex] A= \begin{bmatrix} 5 & - 8 \\ 3 & 0\end{bmatrix} \: and \: B= \begin{bmatrix} 2 & - 9 \\ 1 & 0\end{bmatrix} [/tex]
[tex]\therefore 2A= 2\begin{bmatrix} 5 & - 8 \\ 3 & 0\end{bmatrix} \: and \: \: 3B= 3\begin{bmatrix} 2 & - 9 \\ 1 & 0\end{bmatrix} [/tex]
[tex]\therefore 2A= \begin{bmatrix} 10 & - 16 \\ 6 & 0 \end{bmatrix} \: and \: \: 3B= \begin{bmatrix} 6 & - 27 \\ 3 & 0\end{bmatrix} [/tex]
[tex]\therefore 2A-3B= \begin{bmatrix} 10 & - 16 \\ 6 & 0 \end{bmatrix} - \begin{bmatrix} 6 & - 27 \\ 3 & 0 \end{bmatrix} [/tex]
[tex]\therefore 2A-3B= \begin{bmatrix} 10-6 & - 16-(-27) \\ 6-3 & 0-0 \end{bmatrix} [/tex]
[tex]\therefore 2A-3B= \begin{bmatrix} 4 & - 16+27 \\ 3 & 0 \end{bmatrix} [/tex]
[tex]\huge \red {\therefore 2A-3B= \begin{bmatrix} 4 & 11 \\ 3 & 0 \end{bmatrix}} [/tex]
Related Questions
Mark pays $4.68 for 0.72 of a pound of almonds. How much is one pound of almonds?
Answers
The answer is 6.50
Step-by-step explanation:
To solve and to find the cost ratio, we will do the cross multiplying process;
4.68 = x
0.72 1
Next, we will solve for x;
0.72x = 4.68
x = 4.68 / 0.72
x = 6.50
Answer:
$6.50/lb
Step-by-step explanation:
4.68/0.72 = $6.50/lb
Which number makes the number sentence true?
0.64 < ____
A. 0.6
B. 0.7
C. 0.63
D. 0.07
Answers
Answer:
The correct answer is letter B, 0.7
Step-by-step explanation:
Hope this help
Select the TWO numbers that are solutions to the equation x2 = 49.
A. 49
B. 7
C. -49
D. 2
E. -7
Answers
Answer:
x = ±7
x=7, -7
Step-by-step explanation:
x^2 = 49
Take the square root of each side
sqrt(x^2) = sqrt(49(
x = ±7
Find f-1(x) if f(x) = 2x/3-4
Answers
Given:
The function is:
[tex]f(x)=\dfrac{2x}{3}-4[/tex]
To find:
The inverse of the given function, i.e., [tex]f^{-1}(x)[/tex].
Solution:
We have,
[tex]f(x)=\dfrac{2x}{3}-4[/tex]
Step 1: Substitute [tex]f(x)=y[/tex].
[tex]y=\dfrac{2x}{3}-4[/tex]
Step 2: Interchange x and y.
[tex]x=\dfrac{2y}{3}-4[/tex]
Step 3: Isolate y.
[tex]x+4=\dfrac{2y}{3}[/tex]
[tex]3(x+4)=2y[/tex]
[tex]\dfrac{3x+12}{2}=y[/tex]
[tex]\dfrac{3}{2}x+6=y[/tex]
Step 4: Substitute [tex]y=f^{-1}(x)[/tex].
[tex]f^{-1}(x)=\dfrac{3}{2}x+6[/tex]
Therefore, the inverse of the given function is [tex]f^{-1}(x)=\dfrac{3}{2}x+6[/tex].
5
What is the area of the figure?
25 mi
12 mi
20 mi
18 mi
8 mi
43 mi
square miles.
Answer:
Answers
(20x25)+(18x8)
(500) + (144)
=644
Hurry 40 minutes left
Kendra is determining the distance between the points (6, 8) and (2, –3). Her work is shown below.
Step 1: d = StartRoot (6 minus 2) squared + (8 minus 3) squared EndRoot
Step 2: d = StartRoot (4) squared + (5) squared EndRoot
Step 3: d = StartRoot 16 + 25 EndRoot
Step 4: d = StartRoot 41 EndRoot
Which best describes the accuracy of Kendra’s solution?
Her solution is correct.
Her solution is incorrect. She subtracted before squaring.
Her solution is incorrect. She made an error when substituting the x-values into the equation.
Her solution is incorrect. She made an error when substituting the y-values into the equation.
Answers
Answer:
Her solution is correct
(6-2)^2 + (8-3)^2
=(4)^2 + (5)^2
=16 + 25
=41
Write two solution points for the equation y=3x-1 when x us 1 and x is 2
Answers
Answer:
x=1. (1, 2)
x=2. (2, 5)
Step-by-step explanation:
i hope this helps :)
find the value of x
−8(x−6)=32
Answers
Answer:
x = 2
Step-by-step explanation:
-8(x-6) = 32 (distribute)
-8x+48 = 32 (subtract 48 from both sides)
-8x = -16 (divide)
x = 2
Answer:
x = 2
Step-by-step explanation:
Divide both sides :
−8(x−6)=32
Divide both sides of the eqaution by -8 :
x - 6 = -4
Move the constant to the right :
x - 6 = -4
Move the constant to the right - hand side and change its sign :
x = -4 + 6
Calculate :
x = -4 + 6
Calculate the sum :
x = 2
Therefore, the answer is x = 2
GEOMETRY - triangle similarity
Answers
Answer:
ΔABC ≈ ΔDEF
∡B ≅ ∡E
x = 4.5
BC is similar to EF
Step-by-step explanation:
to find 'x':
6/16 = x/12
16x = 72
x = 4.5
Answer:
1) tri ABC ~ tri DEF
2) angle B ~ angle E
3) x= 4.5
4) ?= BC
Step-by-step explanation:
hi! a note: pls let me know if any of the answers are wrong ! i want anyone to have a wrong answer because of me thank u vm! (obviously, my explanations are not the official mathematical explanations)
1) I just matched up the letters, A to D, B to E, C to F
You can also use ratios, but if you dont need an explanation then ignore it.
2) matched up the angles: B corresponds to E
3) Ratio: 6/16 = x/12
16x = 72 cross multiply
x = 4.5
4) Again, just match up the sides
BC corresponds to EF
hope this helps :D best of luck
If you answer this you're HOT!!!!!
For the following question, determine whether the two are similar. If so, give the scale factor of the figure to the larger figure
Answers
Answer:
Yes, 1:3.
Step-by-step explanation:
Each of the numbers on figure 2 are 3 times the number on figure 1.
PLSSS HELP IMMEDIATELY!!! i’ll give brainiest if u don’t leave a link and give the correct answer
Answers
Answer:
6
Step-by-step explanation:
The formula to find the area of a triangle is length times height (12) and divide by 2.
Find the nth term of this quadratic sequence 3,8,15,24,35...
Answers
Answer:
n^2 + 2n.
Step-by-step explanation:
n = 1 2 3 4 5
term t = 3 8 15 24 35
Diffs = 5 7 9 11
2 2 2 - so the nth term contains n^2.
n^2 = 1 4 9 16 25
t - n^2 = 2 4 6 8 10
This is an arithmetic sequence with nth term = 2 + (n-1)2 = 2n
So the nth term of the quadratic sequence = n^2 + 2n.
A bag of apples weighs 7 4/10 pounds.a crate of bananas is 5 times as heavy as the apples. What is the total weight of the fruit
Answers
Answer:
44.4
Step-by-step explanation:
7 4/10x5=37
37+7 4/10=44.4
On Saturday, a local hamburger shop sold a combined total of 540 hamburgers and cheeseburgers. The number of
cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Saturday?
hamburgers
Answers
Answer: 135 hamburgers
540 divided by 4 (ratio of hamburgers to cheeseburgers is 3 to 1) = 135. 135 burgers and (135 times 3) 405 cheeseburgers = 540.
Step-by-step explanation: Hope this helps! :)
Answer: 180 hamburgers were sold on Saturday
Step-by-step explanation:
I’m pretty sure this is the answer
According to the line plot what is the total amount of time spent studying by all students who studied 1/4 hour or 3/4 hour
Answers
Answer:
2 3/4 hours
Step-by-step explanation:
We see from the figure that 2 students spent 1/4 hours and 3 students spent 3/4 hours.
So the total time spent is
2* (1/4) + 3(3/4) hours
= 1/2 + 9/4
=(2+9)/4 taking l.c.m
= 11/4
= 2 3/4 hours
The total time spent by 5 students on 1/4 hours and 3/4 hours is 2 and 3/4 hours.
If x = 1, y = 7, and z = 15, determine a number that when added to x, y, and z yields consecutive terms of a geometric sequence. What are the first three terms in the geometric sequence? 3
Answers
Given:
[tex]x = 1, y = 7,z = 15[/tex]
A number is added to x, y, and z yields consecutive terms of a geometric sequence.
To find:
The number which is added to x, y, and z, then find the first three terms in the geometric sequence.
Solution:
Let the unknown number be k.
After adding k to x, y, and z, we get
[tex]x = 1+k, y = 7+k,z = 15+k[/tex]
These are the consecutive terms of a geometric sequence. So,
[tex](7+k)^2=(1+k)(15+k)[/tex]
[tex]49+14k+k^2=15+k+15k+k^2[/tex]
[tex]49+14k=15+16k[/tex]
Isolate the variable terms.
[tex]49-15=16k-14k[/tex]
[tex]34=2k[/tex]
[tex]\dfrac{34}{2}=k[/tex]
[tex]17=k[/tex]
The unknown number is 17.
Now,
[tex]x=1+k[/tex]
[tex]x=1+17[/tex]
[tex]x=18[/tex]
Similarly,
[tex]y=7+k[/tex]
[tex]y=7+17[/tex]
[tex]y=24[/tex]
And
[tex]z=15+k[/tex]
[tex]z=15+17[/tex]
[tex]z=32[/tex]
Therefore, the three terms in the geometric sequence are 18, 24, 32.
The sum of three consecutive odd integers is 189. What
are the integers?
Answers
Answer:
61, 63, 65
Step-by-step explanation:
n + n+2 + n+4 = 189
3n = 183
n = 61
Answer:
The three consecutive odd integers are 61, 63, and 65
Step-by-step explanation:
Let the three consecutive odd integers be:
n + 1, n + 3 and n + 5
Therefore:
n + 1 + n + 3 + n + 5 = 189
3n + 9 = 189
3n = 180
n = 60
n + 1 = 61
n + 3 = 63
n + 5 = 65
54) The two-way table below shows the number of hours students studied and whether they studied
Independently or with a study group. What is the relative frequency of students that studied
Independently for more than 2 hours to the total number of students that studied independently?
Answers
Answer:
6
Step-by-step explanation: not 6
Please help me with this math assignment
Answers
Answer: A , C and F
Step-by-step explanation:
I need help please! DON'T USE LINKS! WILL BE REPORTED
Answers
9514 1404 393
Answer:
222 cm²
Step-by-step explanation:
The surface area can be found using the formula ...
A = 2(LW +H(L+W))
To minimize fraction nonsense, we'll let H be the fraction.
A = 2(12·8 +(3/4)(12 +8)) = 2(96 +15) = 222
The surface area of the prism is 222 square centimeters.
The equation 2x2+2y2−8x−12y+16=0 2 x 2 + 2 y 2 − 8 x − 12 y + 16 = 0 defines a circle. Which of these shows a correct step for determining the center and radius of this circle? Choose all that are correct.
(2x2−8x+16)+(2y2−12y+36)=−16+36
(
2
x
2
−
8
x
+
16
)
+
(
2
y
2
−
12
y
+
36
)
=
−
16
+
36
(x−4)2+(y−9)2=5
(
x
−
4
)
2
+
(
y
−
9
)
2
=
5
(x2−4x+4)+(y2−6y+9)=−8+13
(
x
2
−
4
x
+
4
)
+
(
y
2
−
6
y
+
9
)
=
−
8
+
13
x2+y2−4x−6y=−16
x
2
+
y
2
−
4
x
−
6
y
=
−
16
(x−2)2+(y−3)2=5
Answers
what do i choose? because all i see is a lot of numbers and words lol
2) Last Friday Trevon had $29. Over the weekend he received some money
for cleaning the attic. He now has $41. How much money did he receive?
Answers
Answer:
12 dollars
Step-by-step explanation:
29+12=41 or 12-49=29
An uber charges a flat rate of $6 plus $1.25 per mile. Kayla can spend no more than $27.50. If she wants to tip her driver $4, what is the greatest number of miles she can uber?
Answers
Answer:
14
Step-by-step explanation:
to determine the answer
Subtract the amount she wants to tip from the total amount of money she wants to spend
$27.50 - $4 = $23.50
Let m = total miles
the total miles she intends to drive can be determined using this equation
$23.50 = $6 + $1.25m
Collect like terms
$23.50 - $6 = $1.25m
$17.50 = £1.25m
Solve for m
17.50 / 1.25 = 14
Erica's bill for breakfast at a restaurant was $64. She left an 18% tip. What was the amount of the tip?
Answers
Answer:
$11.52
Step-by-step explanation:
18% of 64 is 11.52
Which of these expressions is equivalent to −2(x−5) ?
Multiple choice question.
A)
−2x−5
B)
−2x+5
C)
−2x+10
D)
−2x−10
Plzs Help I give someone a brainliest
Answers
Answer:
C.
Step-by-step explanation:
-2(x - 5)
= -2*x - 2*-5
= -2x + 10.
The radius of a circle is 7 miles. What is the circle's area?
Use 3.14 for .
Answers
Answer:
A≈153.94mi²
Step-by-step explanation:
A = πr2 = π · 72 ≈ 153.93804mi²
A 20 foot ladder is leaning up against the side of a house the distance between the house and the base of the ladder is 4 feet find the angle that the ladder makes with the ground
Answers
Answer:
78.5°
Step-by-step explanation:
We solve for the above question, using the formula for the Trigonometric function of Cosine
cos θ = Adjacent/Hypotenuse
Adjacent = The distance between the house and the base of the ladder = 4 feet
Hypotenuse = Length of the Ladder = 20 feet
Hence,
cos θ = 4/20
θ = arc cos(4/20)
θ = 78.463040967°
Approximately = 78.5°
Therefore, the angle that the ladder makes with the ground is 78.5°
Pablo grew a plant for school and recorded the growth of the plant
each week. He wrote ordered pairs to organize his data: (1, 5), (2, 8),
(3, 8), (4, 11), (5, 15).
Is this relation a function? Explain.
Answers
Answer:
Yes. the relation is a function
Step-by-step explanation:
Here, we want to check if the relation is a function
if a relation is a function, then every x-values (input values) will have one y-value
No two output values (y values) will have a single x value
Looking at the pairs;
It is a function
Although two x values have same y value; 2 and 3 to 8; no two y values have same x value
Hence, the ordered pairs is a function
2y greater than or equal to -12-4y OR 2y>-14+6y
Answers
Answer:
2y bigger or same -12-4y is correct
Step-by-step explanation:
Y=1
2=-12-4×1
2=-16
2 is bigger
Y=-2
-4=-12-4×(-2)
-4=-4 it's same
Two numerical patterns are shown below: Pattern A: 4, 8, 12, 16, 20 Pattern B: 8, 16, 24, 32, 40 Select the statement that describes the numerical patterns. The terms in Pattern B are one half the value of the corresponding terms in Pattern A. The terms in Pattern A are one half the value of the corresponding terms in Pattern B. The rule for Pattern B is "multiply by 4." The rule for Pattern A is "multiply by 2."
Answers
Answer:
The statement that best describes the numerical patterns is;
The rule for mapping Pattern A to Pattern B is "multiply by 2"
Step-by-step explanation:
The given two numerical patterns are;
Pattern A: 4, 8, 12, 16, 20
Pattern B: 8, 16, 24, 32, 40
Therefore;
The ratio of the corresponding terms of Pattern B and A are;
8/4 = 16/8 = 24/12 = 32/16 = 40/20 = 2
We multiply a value in pattern A by 2 to obtain a corresponding value in Pattern B
Therefore the rule for mapping Pattern A to Pattern B is "multiply by 2".
Answer:
Multiply by 2! Basicly D!
if i get this wrong i am terribly sorry.
