Answer:
x= 4 and y =-3
Step-by-step explanation:
To find the pair that is the solution to the system of equations, we will follow the steps below;
y = -1/2 x - 1 -----------------------------------------------------------------------------------(1)
y = -3x + 9 ---------------------------------------------------------------------------------------(2)
substitute equation (1) in equation (2)
-1/2 x - 1 = -3x + 9
collect like term
-[tex]\frac{1}{2}X[/tex] + 3x = 9 + 1
-x+ 6x /2 = 10
5x /2 = 10
multiply both-side of the equation by 2
5x = 20
Divide both-side of the equation by 5
x = 4
substitute x = 4 into equation (2)
y = -3x + 9
y = -3(4) + 9
y = -12 + 9
y = -3
The solution is
x= 4 and y =-3
Please answer !!???????????!!! PLEASE 15 points!!!!!!!!!!!
Answer:
Question 9: slope= 4
Question 10: 10x+5y = -25
Step-by-step explanation:
For question 9, since it is a linear function, you can think of it as y=mx+b. "m" is the slope value. In your instance, m=4 so the slope is 4. For question 10, you need to reorder it into y=mx+b by moving the -25 to the left side and moving the 5y to the right side. After you do this, you should get 10x+25=-5y. Then divide both sides by -5 to get -2x-5=y. Since m is a negative value, the function has a negative slope. Since the "b" value is the y-intercept and this case it's -5, the y-intercept of the equation is -5.
If a book is 33 hour and 45 min long , how many days would it take you to read it if you read 3 hours a day ?
Answer:
11
Step-by-step explanation:
33.45 ÷ 3 = 11.15 but round it
(im not 100% sure but I hope this helps)
What is 14% of 8.5? Round to the nearest hundredth (if necessary).
Answer:
1.19
Step-by-step explanation:
Hope this helps :) I try to just get straight to the point so sorry for no work
Need help with a question
Answer: -4 meters
Step-by-step explanation:
8 - 4 = 4; If it started at 4 meters depth and then went down to 8 meters depth, then it submerged 4 meters.
Answer:
-4
Explanation:
To find the change in depth simply subtract how many meters it was below the surface by how many meters it was at the starting point.
8 - 4
-4
Therefore, the change in depth was -4 meters.
Does (3, –8) make the equation y = –x + –5 true?
Answer:
true
Step-by-step explanation:
y = –x + –5
Substitute the point into the equation
-8 = -3 + -5
-8 = -8
This is true so the point is a solution to the equation
ANSWERR ASAPP!!! I GIVE BRAINLIESTT!!
just tell me if I'm correct
Answer:
Yes you are correct for x AND y
Step-by-step explanation:
Yes, your answer is correct.
Can someone please answer this question?
Answer:
you answer would be A. I hope this helps
Step-by-step explanation:
I NEED HELP REALLY BAD PLEASE ANSWER THIS QUESTION AS SOON AS POSSIBLE!!!! Which of the following expressions represents the distance between 3/4 and 2
A. 3/4 - 2
B. 2-(-3/4)
C. None Of the above
this is on khan academy and I really need help
A: 3/4 - 2.
Hope this helped!
Answer:
its A
Step-by-step explanation:
(-4ab - 5a + 3) - (-7ab + 9)
________________________________
Hey!!!
solution,
(-4ab - 5a +3)-(-7ab+9)
=-4ab -5a+3 + 7ab - 9
= -4ab+7ab-5a+3-9
= 3ab-5a-6
Hope it helps...
Good luck on your assignment
______________________________
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Answer:
12(3+5)
Step-by-step explanation:
The greatest common factor is 12
12*3 + 12*5
12(3+5)
Answer:
12(3+5)
Step-by-step explanation:
First, let’s list all the factors of the two numbers. Factors are numbers that evenly divide into a number.
The two numbers are 36 and 60.
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The GCF is the greatest common factor. The biggest factor both numbers share is 12.
Now let’s find the expression.
36+60
We know the GCF is 12. Therefore, we can distribute out a 12. Take out a 12, and then divide both numbers by 12.
12( 36/12 + 60/12)
12(3+5)
The above table shows the number of widgets, gizmos, and blibbets purchased by a company for three months and the total amount spent for all items each month. Let x1, x2, x3 represent the cost for each widget, gizmo, and blibbet. Complete the linear system:
Answer:
Step-by-step explanation:
Cost of widget is 22.53, gizmo is 31.67, and blibbet is 8.65.
What is Cramer's rule?Cramer's rule is a form of formula for finding the solution of linear equations system of with as many equations as unknown.
Given that,
[tex]\left\{\begin{matrix}11x_1& 16x_2 & 25x_3 & =971\\15x_1& 22x_2& 8x_3 & =1104 \\ 9x_1& 12x_2& 17x_3& =730 \\\end{matrix}\right.[/tex]
solution by Cramer's rule
[tex]A = \begin{vmatrix} 971& 16& 25\\1104 & 22& 8\\ 730& 12& 17\\\end{vmatrix}[/tex]
[tex]A = -320[/tex]
[tex]A_1={\begin{vmatrix} 971& 16& 25\\ 1104& 22& 8\\ 730& 12& 17\\\end{vmatrix}[/tex]
[tex]A_1 = 7210[/tex]
[tex]A_2=\begin{vmatrix}11 & 971 &25 \\ 15& 1104 & 8 \\ 9& 730& 17\\\end{vmatrix}[/tex]
[tex]A_2=-10135[/tex]
[tex]A_3=\begin{vmatrix} 11& 16& 971\\ 15& 22& 1104\\ 9& 12& 730\\\end{vmatrix}[/tex]
[tex]A_3=-2770[/tex]
[tex]x_1=A_1/A\\ x_2=A_2/A\\ x_3=A_3/A\\[/tex]
[tex]x_1=\frac{-7210}{-320} \\ x_2=\frac{-10135}{-320} \\ x_3=\frac{-2770}{-320} \\[/tex]
[tex]x_1=\frac{721}{32} \\ x_2=\frac{2027}{64} \\ x_3=\frac{277}{32} \\[/tex]
[tex]x_1=22.53 \\ x_2=\ 31.67 \\ x_3=8.65\\[/tex]
Hence cost of widget is 22.53, gizmo is 31.67, and blibbet is 8.65.
Learn more about Cramer's rule
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Box 1: Dimensions: x by 3x by x3 Area of base = x(3x) = 3x2 Box 2: Dimensions: x by 4x – 1 by x3 Area of base = x(4x – 1) = 4x2 – x Complete the statements about the number of terms in the polynomial representing the volume of each box. Box 1's volume will be a Box 2's volume will be a . Explain your reasoning.
Answer:
Box 1's volume will be a monomial
Box 2's volume will be a binomial
Explain your reasoning:
Box 1’s volume is modeled by a monomial times a monomial, so it will be a monomial. Box 2’s volume is modeled by a monomial times a binomial, so it will be a binomial.
Step-by-step explanation:
Feel free to copy and paste! Hope this helps! Have a great day!
BTW...If you have any questions for school...any grade level, any subject...just comment or ask. I will be sure to answer as soon as I can!! <3
The volume of a box is the amount of space it can occupy.
Box 1's volume will be a monomialBox 2's volume will be a binomialThe given parameters are:
Dimensions of box 1: x by 3x by x^3
Dimensions of box 2: x by 4x - 1 by x^3
The volume of the box is calculated by multiplying the dimensions.
So, we have:
Box 1
[tex]V_1 = x \times 3x \times x^3[/tex]
[tex]V_1 = 3x^5[/tex]
Box 2
[tex]V_2 = x \times (4x - 1) \times x^3[/tex]
[tex]V_2 = (4x - 1) \times x^4[/tex]
Open brackets
[tex]V_2 = 4x^5 - x^4[/tex]
After calculating the volumes, we have:
[tex]V_1 = 3x^5[/tex] ---- box 1
[tex]V_2 = 4x^5 - x^4[/tex] ---- box 2
Hence,
The volume of box 1 is monomial, because it has 1 termThe volume of box 2 is binomial, because it has 2 termsRead more about volumes at:
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Write the equation in standard form for the circle passing through (6, 6) centered at the
origin
Answer:
x² + y² = 72
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( r is the radius )
The radius is the distance from the centre to a point on the circle.
Use the distance formula to calculate r
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (6, 6)
r = [tex]\sqrt{(6-0)^2+(6-0)^2}[/tex]
= [tex]\sqrt{6^2+6^2}[/tex]
= [tex]\sqrt{36+36}[/tex]
= [tex]\sqrt{72}[/tex]
Thus
x² + y² = ([tex]\sqrt{72}[/tex] )² , that is
x² + y² = 72 ← equation of circle
Tammy needs to make a total of 60 deliveries this week. sao far she has completed 42 of them. what percentage of her total deliveries has Tammy completed?
Answer:
70%
Step-by-step explanation:
42/60= 0.7 = 7/10 = 70%
someone please help me !!
Answer:
3<x<52
Step-by-step explanation:
0<2x-6<52
6<2x<52
3<x<52
Answer:
3 x 9
Step-by-step explanation:
3<x<9 . Just did this. Acellus is lame but better than normal school. Good luck with the rest im only on lesson 84
What is the surface area of a cylinder with base redius 2 and height 9
Answer:
[tex]138.23units^2[/tex]
Step-by-step explanation:
[tex]A=2\pi rh+2\pi r^2=2*\pi *2*9+2*\pi *2^2=138.23008\\138.23units^2[/tex]
Answer:
44pi
Step-by-step explanation:
Look at the attachment
If f(x) = (x^2-36)/(x+6) is continuous at x = -6, find f(-6) a)-12 b)12 c)6 d)-6
Answer:
A
Step-by-step explanation:
[tex]f(x)=\dfrac{x^2-36}{x+6}= \\\\\\\dfrac{(x-6)(x+6)}{x+6}= \\\\\\(x-6) \\\\\\f(-6)=((-6)-6)=-12[/tex]
Therefore, the correct answer is choice A. Hope this helps!
Answer:
=-12
Step-by-step explanation:
f(x) = (x^2-36)/(x+6)
Factor the numerator. The numerator is the difference of squares
(a^2 -b^2) = (a-b)(a+b)
f(x) = (x-6)(x+6)/(x+6)
Cancel the like terms
f(x) = x-6
f(-6) = -6-6
= -12
write the sum using sigma notation 3^2+4^2+5^2+...+10^2
[tex]\sum\limits_{i=3}^{10}\big i^2[/tex]
or:
[tex]\sum\limits_{i=1}^{8}\left(2+i\right)^2[/tex]
or:
x₁=3, x₂=4, x₃=5, .... x₈=10
[tex]\sum\limits_{i=1}^{8}\big x_i^2[/tex]
The sigma notation of 3^2+4^2+5^2+...+10^2 is: [tex]\sum\limits^{10}_{n = 3} n^2[/tex]
How to express the sum as a sigma notation?The sum is given as;
3^2+4^2+5^2+...+10^2
The above means that the sum of the squares of integers from 3 to 10
Using the above statement, the sigma notation is:
[tex]\sum\limits^{10}_{n = 3} n^2[/tex]
Where n represents the current integer
Read more about sigma notation at:
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Hannah invests £350 in an account that pays 3.5% compound interest per annum. Work out how much money Hannah will have in her account in 12 years.
Which expression is equivalent to (x^14 y^1/6)^1/2
A.x^1/2y^4
B. X^1/8y8
C.x^1/4y^8
D.x^1/4y^4
Please help its timed
Answer:
x^1/8 y^8
Step-by-step explanation:
To obtain the answer to the question given above, let us simplify the expression (x^1/4 y^16)^1/2.
This is illustrated below:
(x^1/4 y^16)^1/2
(x^1/4)^1/2 • (y^16)^1/2
x^1/4×1/2 • y^16×1/2
x^1/8 y^8
Therefore, x^1/8 y^8 is equivalent to (x^1/4 y^16)^1/2.
Explain what the mean absolute deviation is in general. Explain what the MAD means in the context of Robin and Evelyn’s data.
Answer: The MAD describes the average distance from a data point to the mean. It measures variability. For this data, it shows that Evelyn’s scores varied slightly more than Robin’s.
Step-by-step explanation: Add 8+1+5+0+12 and divide it by 5 and get 5.2
Answer:
Mean absolute deviation is the average distance between the mean of o set of numbers. The MADs for Robin and Evelyn's data show that Evelyn's scores or slightly more varied than Robin's.
Step-by-step explanation:
Find the sum. Write your answer in simplest form. 2 1/2+ 5 5/8
Answer:
8 1/8
Step-by-step explanation:
2 4/8 plus 5 5/8
4/8 because it equals to 1/2
Answer:
8 1/8
Step-by-step explanation:
2 1/2+ 5 5/8
2 4/8 + 5 5/8
7 9/8
8 1/8
Which set of angles could NOT form a triangle? A. three acute angles B. One right angle, two acute angles C. One right angle, one acute angle, one obtuse angle D. One obtuse angle, two acute angles
Answer:
C. One right angle, one acute angle, one obtuse angle
Step-by-step explanation:
A triangle is a closed geometrical figure. It is an enclosed figure with three sides and three angles. The sum of the angles of a triangle is 180°. A triangle can be formed with three acute angles. A triangle can be formed with one right angle and the other two being acute angles. A triangle can be formed with one obtuse angle and the other two being acute angles. A triangle cannot be formed with one right angle, one acute angle, one obtuse angle.
ABC and ACD are both right-angled triangles.
D
a)
Explain why the length of AC
is 13 cm.
5 cm
C
5 cm
b)
Calculate the length of AD.
Give your answer correct
to 1 decimal place.
B
A
12 cm
Answer:
In the picture attached, the question is shown.
a) Applying Pythagorean theorem to triangle ABC, and solving for AC:
CB² + BA² = AC²
5² + 12² = AC²
√169 = AC
13 cm = AC
b) Applying Pythagorean theorem to triangle ACD, and solving for AD:
CD² + AC² = AD²
5² + 13² = AD²
√194 = AD
13.9 cm = AD
a pair of shoes is originally priced at 120 It is on sale for 35% off . Find the total percent that you would pay
Step-by-step explanation:
If the discount is 35% off. then the new price is 65% of what the old price is. So we multiply 120 x .65 = 78
Answer:
You pay 65% which is $78
Step-by-step explanation:
You'd pay 65% of the original price.
65% of the original price is 78
To do this you multiply 65% by 120
help me please i need it !
Answer:
A
Step-by-step explanation:
There is 2 of the same number on the Y
Please help me with this answer im not that good in math
Answer:
B. A = 96 cm2
Step-by-step explanation:
(02.07 LC)
Which relationship is always correct for the angles x, y, and z of triangle ABC?
A
x
C
Ox+ z = y
Oy + z = x
O x + y + z = 180 degrees
Ox + y + z = 90 degrees
Answer:
Ox+y+z=180
Step-by-step explanation:
The relationship which is always rue for the three angles x, y and z of triangle ABC is x + y + z = 180°.
What is Triangle?A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.
Sum of the interior angles of a triangle is 180 degrees.
We know that a triangle has three angles.
Let x, y and z be the three angles of the given triangle.
We know that, the interior angles of a triangle sum up to 180°.
The given three angles are x, y and z.
So, x + y + z = 180°
Hence the correct relationship that describes all the three angles of the triangle is that x + y + z = 180°.
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Identify the independent and dependent quantities in each problem solution then write a function to represent a problem situation :
Nathan is riding the scooter at a rate of 6 miles per hour
Answer:
independent: riding the scooter
dependent: miles ridden
function: y=6x
Step-by-step explanation:
Answer:
independent: riding the scooter
dependent: miles ridden
function: y=6x
Step-by-step explanation:
Please help marking brainliest QUICK
Answer:
50 lbs.
Step-by-step explanation:
Answer:
45.65
Step-by-step explanation: