Answers
Answer : value of x and y in the matrix equation is:
x = -3
y = +4, -4
Step-by-step explanation :
The matrix expression is:
[tex]\left[\begin{array}{ccc}x+4\\y^2+1\end{array}\right]+\left[\begin{array}{ccc}-9x\\-17\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right][/tex]
First we have to add left hand side matrix.
[tex]\left[\begin{array}{ccc}(x+4)+(-9x)\\(y^2+1)+(-17)\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right][/tex]
Now we have to add left hand side terms.
[tex]\left[\begin{array}{ccc}x+4-9x\\y^2+1-17\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}4-8x\\y^2-16\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right][/tex]
Now we have to equating left hand side matrix to right hand matrix, we get:
[tex]\Rightarrow 4-8x=28\text{ and }y^2-16=0\\\\\Rightarrow 8x=4-28\text{ and }y^2=16\\\\\Rightarrow x=-3\text{ and }y=\pm 4[/tex]
Therefore, the value of x and y in the matrix equation is -3 and +4, -4 respectively.
Answer:
D is wrong. The correct answer choice is C ( x=-3 and y= +4, -4)
Step-by-step explanation:
Math unit test review
Related Questions
what are the y-intercept and axis of symmetry of this quadratic function??
Answers
Answer: The answer is B I believe
Step-by-step explanation:
Answer:
y-intercept : (0,5), D
axis of symmetry : x = 3, E
2x + 3y = 13
4x - y = -2
Answers
Answer:
x=1/2. y=4
Step-by-step explanation:
4(2x+3y=13)=8x+12y=52
2(4x-y=-2)=8x-2y=-4
subtract equation one from equation two to get
14y=56 then u will divide bothe sides by 14. for x u substitute y in equation one
Answer:
x = 1/2 y = 4
Step-by-step explanation:
Equation 1
2x + 3y = 13
Equation 2
4x - y = -2
Multiply equation 2 by 3
12x - 3y = -6
Add equation 1 to 3
14x = 7
x = 7/14
x = 1/2
Substitute x into equation 1
2(1/2) + 3y = 13
3y = 13 -1
3y = 12
y= 12/3
y = 4
x =1/2 y = 4
Hope this helps.
choose all functions below that have a vertex of (4.5,-8)
Answers
Answer: Answer: A
Explanation:
Just plug in numbers since you know the unknown values,
x + r = 4 + 5
4 + 5 = 9
Step-by-step explanation:
can i have help thanks
Answers
Answer:
∠ BOC = 42°
Step-by-step explanation:
Since OA and OC are perpendicular , that is at 90° to each other, then
∠ AOB + ∠ BOC = 90 , substitute values
5x + 8 + 6x - 6 = 90
11x + 2 = 90 ( subtract 2 from both sides )
11x = 88 ( divide both sides by 11 )
x = 8
Thus
∠ BOC = 6x - 6 = 6(8) - 6 = 48 - 6 = 42°
Which symbol would make the statement TRUE?
-3/4
-0.75
A. <
B. >
C. =
D. none of the above
Answers
Answer: C
Step-by-step explanation: -3/4 is equal to -.75 ,
What is the value of X in the given right triangle? WILL GIVE BRAINLIEST!
Answers
Answer:
Please mark me brainliest and I hope this helped!
x = 45
Step-by-step explanation:
In this case, we can use the Pythagorean Theorem to figure out the other side of the triangle.
c squared - a squared = b squared
10 squared - 7 squared = b squared
100 - 49 = b squared
51 = b squared
7.14 = b
Now that we know the other side is about 7, we can assume that x is equal to the angle between 10 and 7. So x equals 45.
apply the distributive property to factor out the greatest common factor for 9+12n I need an expression too
Answers
Answer:
3(3+4n)
Step-by-step explanation:
problems involving ratio and propotion in real life. tete and tuke share P8900 in the ratio 2:3. how much does each get respective?
Answers
Answer:
Step-by-step explanation:
[tex]Tete : Tuke\\2 : 3\\Total-Amount = P8900\\2+3 = 5\\Tete = \frac{2}{5} * 8900\\Tete = P3560\\\\Tuke = \frac{3}{5} *8900\\Tuke = P5340[/tex]
Convert 14 ft to yd
a.4 2/3 b. 1 1/7 c. 42 d. 168
Answers
Answer:
4 2/3
Step-by-step explanation:
14 ÷ 3 = 4 2/3
3 × 4 = 12
14- 12= 2
th
Write an explicit formula for An, the nth
term of the sequence 15, 23, 31, ....
Answers
Answer:
a₁ = 15 and common difference = 8 so the formula is:
aₙ = 15 + (n - 1) * 8
= 8n + 7
On Monday the price of a company’s stock is $30 per share. On Tuesday, the stock price drops $3, on Wednesday it rises $7, on Thursday it rises $3, and on Friday it drops $4. Write a mathematical statement that represents the situation and determine the price at the end of the week.
Answers
Answer:
The price at the end of the week is $33.
Step-by-step explanation:
We are given that on Monday the price of a company’s stock is $30 per share. On Tuesday, the stock price drops $3, on Wednesday it rises $7, on Thursday it rises $3, and on Friday it drops $4.
The price of a company’s stock on Monday = $30 per share
So, the mathematical statement that represents the situation is given by;
Price of company’s stock on Monday = $30
On Tuesday, the stock price drops $3, so the price of company’s stock on Tuesday = Price of company’s stock on Monday - Drop in price on Tuesday
= $30 - $3 = $27
On Wednesday, the stock price rises $7, so the price of company’s stock on Wednesday = Price of company’s stock on Tuesday + Rise in price on Wednesday
= $27 + $7 = $34
On Thursday, the stock price rises $3, so the price of company’s stock on Thursday = Price of company’s stock on Wednesday + Rise in price on Thursday
= $34 + $3 = $37
On Friday, the stock price drops $4, so the price of company’s stock on Friday = Price of company’s stock on Thursday - Drop in price on Friday
= $37 - $4 = $33
Hence, the price at the end of the week is $33.
Which graph shows the line y = 2x + 3?
Answers
Answer: Graph D
Step-by-step explanation:
The slope is 2
x goes after the slope in graph functions
The line goes through 3 on the y-axis so that’s where + 3 comes in.
2x + 3
An account pays 7%per year simple interest. In 1 year, the amount in the account is 950. How much is in the account in year 6
Answers
Answer:
First year's interest is already given.
There are 5 more payments of interest
= 5 * 0.07 * 950 = 332.5
so amount in the account after 6 years = 950 + 332.5 = 1282.5
Answer:
The answer is 1282.50
Step-by-step explanation:
Anybody know this ? Please help :(
Answers
Answer:
D
Step-by-step explanation:
5.50. 5.50+0.25= 5.75, 5.75+0.25= 6.00, 6.00+0.25= 6.25, 6.25+0.25= 6.50
Option D is the answer:
5.50, 5.75, 6.00, 6.25, 6.50...
What is the axis of symmetry of the quadratic function y = 2(x + 3)2 + 5?
x = –5
x = –3
x = 5
x = 3
Answers
Answer:
-3
Step-by-step explanation:
Find the vertex of the function given below.
y = 2x2 + 8x + 1
Answers
Answer:
Vertex: (-2, -7)
Step-by-step explanation:
Easiest and fastest way to do this is to graph the equation and trace to the vertex. When you do so you should be able to calculate the coordinates of the vertex.
Answer: the answer is (-2,-7)
Step-by-step explanation: APPEX
m 1 = a) 40 b) 130 c) 50
Answers
Answer:
A) 40
Step-by-step explanation:
The angle adjacent 40 is complementary to it, meaning that it must have a measure of 90-40=50 degrees. This angle is a vertical angle with the one inside the triangle, meaning that it also has an angle of 50 degrees. Now that you know two of the angles in the triangle and you know that all of the interior angles of a triangle add up to 180 degrees, you can find angle 1:
[tex]\angle 1=180-90-50=40^{\circ}[/tex]
Hope this helps!
Answer:
<1 = 40
Step-by-step explanation:
Corresponding angles are equal and <1 and 40 are corresponding angles on parallel lines
The diagonal of a rectangle is 58" the site is 40" and the base is 42" what is the ratio of the diagonal to the base of the rectangle
Answers
Answer:
29:21
Step-by-step explanation:
The ratio of the diagonal to the base of the rectangle is 58:42
The ratio can be simplified further.
The simplified ratio is 29:21.
expand the following 5( 2x -4 )
Answers
Answer:
10x-20
Step-by-step explanation:
5(2x-4)
5x2=10
5x4=20
HELP ASAP What is the explicit formula for this sequence 5,2,-1,-4
Answers
Answer:
For an nth term U(n) = a + (n - 1)d
n = number of terms
a = first term
d = common difference
a = 5
d = 2 - 5 = - 3
U(n) = 5 + (n -1)-3
= 5 - 3n + 3
= 8 - 3n
The formula for the sequence is 8 - 3n
Hope this helps
Important!!!
That is the distance between (-5, 4) and (-1, 4)?
-5 units
-4 units
4 units
5 units
Answers
Answer:
4 units
Step-by-step explanation:
Since the y value is the same, we only have to look at the x value
-1 - -5
-1 +5
4
The distance is 4 units
Answer:
4 units
Step-by-step explanation:
if you graph these 2 points, they'll be on the same line of the graph separated by 4 units
Which of the statements is true please show work
Answers
Answer:
f(4)>g(4)
Step-by-step explanation:
f(x)=3x^5 , f(4)= 3072
g(x)=11*4^x when x=4 then g(4)=2816
6 - + 5y - 2y help me answer this question please
Answers
Answer:
Step-by-step explanation:
6 - 5y - 2y
= 6 - 7y
hope this helps
plz mark it as brainliest!!!!!!!
Answer:
[tex]5x+3y[/tex]
Step-by-step explanation:
[tex]6x-x+5y-2y[/tex]
The coefficient of -x is -1.
[tex]6x-1x+5y-2y[/tex]
Factor the variables.
[tex]x(6-1)+y(5-2)[/tex]
Subtract the numbers.
[tex]x(5)+y(3)[/tex]
[tex]5x+3y[/tex]
The answer is 5x+3y.
What is the domain of g(x)?
Answers
Answer:
-2 ≤x≤5
Step-by-step explanation:
The domain is the inputs
The lowest value of x is -2 and every value of x is valid up to 5
-2 ≤x≤5
Evaluate xy - y if x=6 and y=-5
Answers
Answer:
-25
Step-by-step explanation:
xy - y
Replace 'x' with 6, and 'y' with -5:
[tex]6(-5)-(-5)\\\\-30+5\\\\\boxed{-25}[/tex]
Evaluate the expression: log base3 81
Answers
Answer:
4
Step-by-step explanation:
google it
Answer:
the answer is four
Step-by-step explanation:
calculator
Consider the polynomial function P(x) = 2x^3 - mx^2 + x - 5m. The remainder when P(x) is divided
by (x - 2) is four times the remainder from dividing P(x) by (x + 1). Determine m algebraically
and show all your work.
Answers
Answer:
m = 57/14 = [tex]4\frac{1}{14}[/tex]
Step-by-step explanation:
The polynomial can be expressed as follows;
P(x) = 2·x³ - m·x² + x - 5·m
(2·x³ - m·x² + x - 5·m) ÷ (x - 2)
2·x²
(-m - 2)·x² + x
(-m - 2)·x
(m + 3)·x - 5·m
(m + 3)·x
-5·m
The remainder = -5·m/(x -2)
Similarly, dividing by (x + 1) will give a remainder of -5·m/(x + 1)
But -5·m/(x -2) = 4×-5·m/(x + 1)
5/(x -2) = 20/(x + 1)
5(x + 1) = 20(x -2)
20x - 5x= 40 + 5
x = 45/15 = 3
2·3³ - m·3² + 3 - 5·m = 54 - 9m + 3 - 5m = 57 - 14m
(57 - 14m)/1 = (57 - 14m)/4
228 - 56m =57 - 14m
171 = 56m-14m = 42m
m = 171/42 = 57/14.
Circumference of circles
Answers
Answer:
The circumference formula is 2πr and we know r = 1 so the answer is 2π.
Answer: 6.28 feet
Step-by-step explanation:
The formula for circumference is C= πd Diameter is radius times two. So use a value of π which is usually 3.14 or 3.1416 for practical purposes. Multiply by the diameter. 3.14×2=6.28.
Is the following statement true or false? The intersection of a plane and a ray can be a line segment.
Answers
Answer:
False
Step-by-step explanation:
Is the following statement true or false?
The intersection of a plane and a ray can be a line segment.
It is false. Correct one is the point.Please answer this ASAP ❤️
Answers
Answer:
4
Step-by-step explanation:
just change the x into -6
-(-6)-2 = 6 - 2 = 4
Answer:
f(x)=-x-2
f(-6)=-(-6)-2
f(-6)=4
Step-by-step explanation: