Answer:
A. x = 5, y = 6
Step-by-step explanation:
The directions tell you to do steps on the calculator, so I can't explain or show how to use it in the calc. But simply just plug it into the calc as a matrix and do rref.
Answer:
x= 5, y= 6
Step-by-step explanation:
5x - 4y = 1
4x - 2y =8
Multiply the second equation by -2
-8x + 4y = -16
Add this to the first equation
5x - 4y = 1
-8x + 4y = -16
---------------------
-3x = -15
Divide by -3
-3x/-3 = -15/-3
x = 5
Now find y
4x -2y = 8
4(5) -2y = 8
20-2y = 8
Subtract 20
-2y = -12
Divide by -2
y = 6
PLEASE HURRY Find the sum of the first 10 terms in the series: -3, 9, -27, 81... a. -14763 c. 44286 b. 4920 d. 59049
Answer:
C.
Step-by-step explanation:
First find the pattern. The pattern is you multiply the number before by -3.
Just start with x as the first number.
x, -3x, 9x, -27x, 81x, -243x, 729x, -2187x, 6561x, -19683x
Add them all up: -14762
Now multiply by -3:
44286
The required sum of the first 10 terms in the series is given as 44286. Option C is correct.
Given that,
The sum of the first 10 terms in the series: -3, 9, -27, 81... is to be determined.
Geometric progression is a sequence of series whose ratio with adjacent values remains the same.
here,
For Geometric progression,
a = -3
r = 9/-3 = -3
The sum of the 10 terms of GP is given as,
S = a[rⁿ - 1] / [r - 1]
Substitute the value in the above equation,
S = -3[{-3}¹⁰ - 1]/[-3-1]
S = 3/4 [3¹⁰ - 1]
S = 44286
Thus, the required sum of the first 10 terms in the series is given as 44286. Option C is correct.
Learn more about geometric progression here: https://brainly.com/question/4853032
#SPJ2
If f(x) = x2 and g(x) = 3x - 1 find [ gºf(x)
Answer:
gºf(x) = [tex]3x^2 -1[/tex]
Step-by-step explanation:
Given
f(x) = x2
g(x) = 3x - 1
To find
gºf(x)
To find gºf(x) we will use value of f(x) = [tex]x^2[/tex] in place of in g(x)
lets do that
g(x) = 3x - 1
gºf(x) = 3(f(x)) -1
gºf(x) = [tex]3x^2 -1[/tex]
Thus, value of gºf(x) is [tex]3x^2 -1[/tex].
Consider the density curve below.
0.25
х
1
2
3
4
5
Find the percent of the area under the density curve where x is less than 4.
Answer:
Check Explanation.
Step-by-step explanation:
Although, the density curve for this question is missing and isn't available online, I would use an example of another density curve to explain how this could be easily done.
From the density curve attached to this question, the total area under the curve is the are of the triangular shape formed by this curve with the x-axis.
Total Area under the curve = ½×base×height
= ½ × (5-1) × 0.5 = 1 square unit
Area under the density curve where x is less than 4 is a trapezium.
Area of a trapezium = ½ (a+b) h
For the area under the density curve where x is less than 4,
a = 0.5, b = (0.5/4) = 0.125, h = (4-1) = 3
Area under the density curve where x is less than 4 = ½ (0.5+0.125) × 3 = 0.9375 square unit
In terms of the total area, Area under the density curve where x is less than 4 covers
(0.9375/1) × 100% = 93.75%
Hope this Helps!!!
The moon has a diameter of approximately 2,200 miles. If the circumference of a circle can be found using the formula C = πd, what is the circumference of the moon? (Use 3.14 for π) A. 690,800 miles B. 6,908 miles C. 345,000 miles D. 3,454 miles
Answer:
The circumference is 6908 miles.
Step-by-step explanation:
C=πd
C=π*2200
C=3.14*2200
C=6908
Option B is correct.
Answer:
b
Step-by-step explanation:
For an experiment, Marie brought a container filled with 30 grams of snow into a warm environment. After 5 minutes, 21% of the snow had melted. How many grams of snow were remaining in the container after the 5 minutes?
Which is the graph of 2x - 4y > 6?
4
TY
417
41Y
N
2.
N
N
a
2
4
2
4 -2
-2
-4 -2
-2
2
-4-2
2
AN
-2
X
Answer:
Step-1: the x-intercept and the y-intercept
2x - 4y = 6
For y = 0, we get the x-intercept.
2x - 4(0) = 6
2x = 6, and then divide by two on both sides.
Hence, the x-intercept is
For x = 0, we get the y-intercept.
2(0) - 4y = 6
-4y = 6, and then divide by -4 on both sides.
Hence, the y-intercept is y = -3/2 = ( 0, -3/2)
The graph of the inequality 2x - 4y > 6 is the same as y < 0.5x - 1.5
How to determine the graph?The inequality is given as:
2x - 4y > 6
Divide through by 2
x - 2y > 3
Subtract x from both sides
- 2y > -x + 3
Divide both sides by -2
y < 0.5x - 1.5
See attachment for the graph of the inequality 2x - 4y > 6
Read more about inequalities at:
https://brainly.com/question/11234618
If ∠ABC and ∠CBD are supplementary angles, then m∠ABC + m∠CBD = 180° represents the definition of Question 2 options: A) complementary angles. B) supplementary angles. C) triangle sum. D) congruence.
Answer:
I would think it is supplementary.
Step-by-step explanation:
If 2 angles equal 180 degrees, then they are supplementary.
Math help asap!
[Function Inverses]
Answer:
It's (B) [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Hope this helped you!
Answer:
f^-1(8) = 3/2
Step-by-step explanation:
f(x) = 2x + 5
y = 2x + 5
x = 2y + 5
2y = x - 5
y = (x - 5)/2
f^-1(x) = (x - 5)/2
f^-1(8) = (8 - 5)/2
f^-1(8) = 3/2
Which of the following circles have their centers on the Y axis
Answer:
Hi, please provide a photo or options to pick from. I will answer then.
Step-by-step explanation:
Pleaseee helpp
A student skipped a step when she tried to convert 26 hours into seconds,
and she got the following incorrect result:
25 hours (60 seconds)
(1 minute)=
- 1560 seconds
What conversion ratio did she skip in this multiple step conversion?
A.
1 hour
60 minutes
B.
60 seconds
1 minute
C.
1 minute
60 seconds
D.
60 minutes
1 hour
The expression below is the factorization of what trinomial?
(5x + 6)(3x - 2)
O A. 15x2 + 8x+12
B. 15x2 + 4x-12
O C. 15x2 + 4x+12
О
D. 15x2 + 8x-12
Answer:
D. 15x^2 + 8x - 12
Step-by-step explanation:
To solve this problem, simply expand the factorization and find the polynomial.
5x * 3x = 15x2
5x * -2 = -10x
6 * 3x = 18x
6 * -2 = -12
You are left with 15x2 - 10x +18x - 12, but you need to combine like terms, leaving you with the correct answer: 15x2 + 8x - 12.
Answer:
D.
Step-by-step explanation:
(5x+6)(3x-2)=5x*3x-5x*2+6*3x-6*2=15x^2-10x+18x-12=15x^2+8x-12
Assume the weight of adult males is normally distributed. The following weight of adult males in lbs taken in a recent study. 150 152 154 155 156 158 158 160 161 163 164 165 165 166 166 166 167 167 168 169 171 172 174 174 176 177 178 179 179 181 183 Assume the standard deviation for weight is 10 lbs. A recent boat seat is graded for between 160 and 175 lbs. What percentage of males would be able to use this boat seat?
Answer:
80%
Step-by-step explanation:
The number of males with weight between 160 and 175 lbs is 12
So since we were told that the boat seat is graded for males with 160 to 175lbs
=175lbs-160 lbs =15
=12/15*100
=80%
6.07 which expressions are equivalent to 3(x + 3y + 2x - y
Answer:
[tex]3(3x +2y)[/tex] and [tex]9x +6y[/tex] are equivalent to [tex]3(x + 3y + 2x - y)[/tex]
Step-by-step explanation:
Given
[tex]3(x + 3y + 2x - y)[/tex]
Required
Possible Equivalents
To start with; we need to simplify the expression in the bracket;
[tex]3(x + 3y + 2x - y)[/tex]
Collect like terms
[tex]3(x + 2x + 3y - y)[/tex]
[tex]3(3x +2y)[/tex]
At this point; we can conclude that [tex]3(3x +2y)[/tex] is equivalent to [tex]3(x + 3y + 2x - y)[/tex]
Solving further, by expanding the bracket
[tex]3(3x +2y)[/tex]
[tex]3*3x +3*2y[/tex]
[tex]9x +6y[/tex]
At this point; we can also conclude that [tex]9x +6y[/tex] is equivalent to [tex]3(x + 3y + 2x - y)[/tex]
Hence,
[tex]3(3x +2y)[/tex] and [tex]9x +6y[/tex] are equivalent to [tex]3(x + 3y + 2x - y)[/tex]
The area of the shape given is: (Use pie = 3.14)
Answer:
116.18 m²
Step-by-step explanation:
r = 5 m
R = 5m + 2m = 7m
Ax = π·R²/4 - π·r²/4
= 49π/4 - 25π/4
= 24π/4
= 6π m²
A(shape) = π·R² - 2·Ax
= 49π - 2·6π
= 37π
= 37×3.14
= 116.18 m²
Help please will mark u brainliest !!!!!
Step-by-step explanation: To make a line paralle to another, the slope has to be the same such as the "m" in "y=mx+b" the y-intercept or "b" could be different. In this case, the slope is -7. So the question mark should be -7.
Answer:
The correct answer is
[tex]y = -7x -3[/tex]
Step-by-step explanation:
Find the slope of the original line and use the point-slope formula [tex]y-y1= m (x-x1)[/tex] to find the line parallel to [tex]y= -7x+2[/tex]
[tex]y=-7x-3[/tex]
Hope this helps!
- Quinn <3
What is the value of x?
Answer: 98 is your answer
Step-by-step explanation:
The label on the car's antifreeze container claims to protect the car between -40°C and 140°C. To covert Celsius temperature to Fahrenheit temperature, the formula is
c= 5/9(F – 32). Write a compound inequality to determine the Fahrenheit temperature range at which the antifreeze protects the car.
solve this please. find the sum
Answer:
1
Step-by-step explanation:
a + b - c
Let's solve for the first triangle.
1 + 3 - 4
4 - 4 = 0
Now for the second triangle.
2 + 5 - 6
7 - 6 = 1
Add 0 and 1.
0 + 1 = 1
Answer:
1
Step-by-step explanation:
1+3=4-4=0
2+5=7-6=1
0+1=1
I could use some more help
Answer:
[tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]
Step-by-step explanation:
Given
[tex]A = \left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]
[tex]B = \left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]
Required
2A - 4B
To solve 2A - 4B, we first multiply matrix A by 2 and matrix B by 4
So, if
[tex]A = \left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]
[tex]2A = 2 *\left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]
[tex]2A = \left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right][/tex]
If
[tex]B = \left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]
then
[tex]4B = 4*\left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]
[tex]4B = \left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right][/tex]
So; 2A - 4B becomes
[tex]\left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right] - \left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-2-28&18-(-4)&4-(-4)\\20-24&-20-(-16)&4-(-12)\\-10-(-40)&12-40&-10-(-28)\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-30&18+4&4+4\\20-24&-20+16&4+12\\-10+40&12-40&-10+28\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]
Hence, 2A - 4B is equivalent to
[tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]
Where is the blue dot on the number line?
Answer:
0.58 is where the blue dot on the number line is
Answer:
The blue dot is at -0.58
Pls help me with this quick
Answer:
-9
y= x + 3
2
2
Step-by-step explanation:
its simple just follow my steps
Answer:
Step-by-step explanation:
[tex]g^{-1} (-3)=7\\[/tex]
let h(x)=y
y=2x-3
flip x and y
x=2y-3
2y=x+3
[tex]y=\frac{1}{2}(x+3)\\or~h^{-1}(x)=\frac{1}{2}(x+3)\\(h^{-1} oh)(x)=h^{-1}(h(x))=h^{-1}(2x-3)=\frac{1}{2}(2x-3+3)=\frac{1}{2}(2x)=x\\(h^{-1}oh)(1)=1[/tex]
Solve for x in the triangle. Round your answer to the nearest tenth.
Answer:
sin23° can be written as x / 17 or 0.39. That means we can write x / 17 = 0.39 which gives us x = 6.63.
Help please. I’m just totally confuse. You might have to zoom in to solve. Sorry in advance for the terrible quality that’s how I’m seeing it as well
Answer:
I know that (A) is correct for the fisrt one.
Step-by-step explanation:
FIRST CORRECT GETS BRAINLIEST!!!!!!!! 15/20 POINTS!!!!!!!!!!!!!!! ASAP!!!!!!111
Answer:
3, -x+3, first option
Step-by-step explanation:
just do them man
The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is , where l represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the rectangle
Answer:
6 and 2
Step-by-step explanation:
6+6=12
2+2=4
12+4=16
Khan academy question
Answer:
(2,5)
Step-by-step explanation:
There you go.........
Answer:
[tex](2, 5)[/tex]
Step-by-step explanation:
[tex]y=2x+1[/tex]
[tex]x-y=-3[/tex]
[tex]x-(2x+1)=-3[/tex]
[tex]x-2x-1=-3[/tex]
[tex]-x-1=-3[/tex]
[tex]-x=-3+1[/tex]
[tex]-x=-2[/tex]
[tex]x=2[/tex]
[tex]y=2x+1[/tex]
[tex]y=2(2)+1[/tex]
[tex]y=4+1[/tex]
[tex]y=5[/tex]
Which of the following numbers is the largest?
12 hundredths
0.025
9 thousandths
0.1
None they are all small
GO
Solve:
10
= 2
a. x = 5
B. x = 10
C. X = 20
d. x = 15
Please select the best answer from the choices provided
Answer:
the answer is C:x=20 I used a calculator
Square ABCD has a side length of 12 centimeters . Find the area of the square Type a numerical answer in the space provided Do not include units or spaces in your answer
Answer:
144
Step-by-step explanation:
Area of a square is [tex]s^2[/tex]
The side length is 12 cm.
[tex]12^2=144[/tex]
Therefore, the area of the square is [tex]144 \: cm^2[/tex].
How many faces does this pyramid have? A net has a rectangular base and 4 triangles on the sides. faces
Answer:
5 faces
Step-by-step explanation:
Faces:
=> 1 rectangular face+4 triangular face = 5 faces
Answer:
a pyramid has has 5 Faces.
Step-by-step explanation:
The 4 Side Faces are Triangles. The Base is a Square. It has 5 Vertices
a net with a rectanguler base and 4 triangles will form a rectanguler pyramid