Answer:
[tex](\frac{16}{3},- \frac{1}{9} )[/tex] or [tex]x=\frac{16}{3}, y=- \frac{1}{9}[/tex]
Step-by-step explanation:
Hello again!
We are given these two systems:
4x+1=5(x-3y)-6
3(x+6y)+4=9y+19
And we want to solve them for x and y.
First, let's do the distributive property to expand out what is in the parentheses.
4x+1=5(x-3y)-6 --> 4x+1=5x-15y-6
Now simplify 4x+1=5x-15y-6
Subtract 5x from both sides
4x+1=5x-15y-6
-5x -5x
__________
-x+1=-15y-6
Now add 15y to both sides
-x+1=-15y-6
+15y +15y
___________
-x+15y+1=-6
Subtract 1 from both sides
-x+15y=-7
Now for 3(x+6y)+4=9y+19:
3x + 18y + 4 = 9y + 19
Subtract 9y from both sides
3x + 9y + 4 = 19
Subtract 4 from both sides
3x + 9y = 15
Here is our system now:
-x+15y=-7
3x+9y=15
On 3x+9y=15, because all of the values are multiples of 3, we can actually divide it by 3.
3x+9y=15
÷3 ÷3
x + 3y = 5
So here it is again:
-x+15y=-7
x+3y=5
These equations can actually be solved using elimination! We will be adding these equations together to clear out a variable, solve for the uncleared variable, and then use the value of the uncleared variable to find the value of the cleared variable
So, add -x+15y=-7 and x+3y=5 together.
-x+15y=-7
+
x+3y=5
_____
18y=-2
Divide both sides by 18
y=[tex]-\frac{1}{9}[/tex]
Now substitute -1/9 as y into either -x+15y=7 or x+3y=5
Taking x+3y=5 for example,
x+3(-1/9)=5
multiply
x-1/3+5
Add 1/3 to both sides
x=5+1/3=16/3
So the answer is [tex]x=\frac{16}{3} , y=-\frac{1}{9}[/tex], or as a point, [tex](\frac{16}{3},- \frac{1}{9} )[/tex]
Hope this helps!
HELP !!!
Find x, y, and z if
(3x5)^4 x (2x5)^7 = 2x x 3y x 5z.
use the technique shown in photo if possible.
Answer:
3^9
2^12
5^11
Step-by-step explanation:
if you don't get it I'll be there to help
the __________ of a number is its ____________on the number line
[tex]\large \mathbb\purple {✒✨ANSWER ✨⚘ }[/tex]
⊱─━━━━━━━━━⊱༻●༺⊰━━━━━━━━━─⊰
➝ the absolute value of a number is its distance from 0 on the number line.
⊱─━━━━━━━━━⊱༻●༺⊰━━━━━━━━━─⊰
#CARRY ON LEARNINGpls help this is past due and I have no idea on how to do it
Answer:
42.3
Step-by-step explanation:
Substitute in values[tex]3.6\times (3)+4.5\times (7) = 10.8+31.5=42.3[/tex]Ignore the chosen answer mark thing I clicked on it by accident
Answer:
It's the one you clicked!
Step-by-step explanation:
It is 22.5 or 22 [tex]\frac{1}{2}[/tex]
because
5/2 simplified is 2.5
2.5 x 9 = 22.5
hope this helps :)
A bag contains 6 red marbles, 2 white marbles, and 1 grey marble. You randomly pick out a marble, records it’s color, and put it back in the bag. You repeat this process 45 times. How many white or grey marbles do you expect to get?
Answer:
90 white marbles and 45 gray marbles
Step-by-step explanation:
Which one is the correct answer, a b c d
[tex]g(f(x))=\sqrt{\frac{2301+100x^2}{23+x^2} }[/tex]
Step-by-step explanation:[tex]Substitute\ and\ calculate:\\ \downarrow\\ g(f(x))=\sqrt{\frac{2301+100x^2}{23+x^2} }[/tex]
I hope this helps you
:)
pls help this is on edge
Step-by-step explanation:
Btw The one on the upper right hand side is Right angle
Answer:
The answer is the image.
Step-by-step explanation:
Sorry for messy writing.
A rectangle measures 4 3/4 inches by 1/3 inches . What is the area ?
Answer:
A = [tex]\frac{1}{4}[/tex] in²
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = lb ( l is the length and b the breadth ) , then
A = [tex]\frac{3}{4}[/tex] × [tex]\frac{1}{3}[/tex] ( cancel 3 on numerator/ denominator )
= [tex]\frac{1}{4}[/tex] × 1 = [tex]\frac{1}{4}[/tex] in²
(x+3)(3x² - 5x - 10) multiply polynomial
Answer:
[tex]\boxed{\sf{3x^3+4x^2-25x-30}}[/tex]Step-by-step explanation:
[tex]\underline{\text{SOLUTION:}}[/tex]
To isolate the term of x from one side of the equation, you must multiply by a polynomial.
[tex]\underline{\text{GIVEN:}}[/tex]
[tex]:\Longrightarrow: \sf{(x+3)(3x^2 - 5x - 10)}[/tex]
You have to solve with parentheses first.
[tex]:\Longrightarrow \sf{x\cdot \:3x^2+x\left(-5x\right)+x\left(-10\right)+3\cdot \:3x^2+3\left(-5x\right)+3\left(-10\right)}[/tex]
Solve.
[tex]\sf{x*3x=3x^3}[/tex]
x(-5x)=-5x²
[tex]\sf{x(-10)=-10x}[/tex]
3*3x²=9x²
3(-5x)=-15x
3(-10)=-30
Then, rewrite the problem down.
[tex]\sf{3x^3-5x^2-10x+9x^2-15x-30}[/tex]
Combine like terms.
[tex]\Longrightarrow: \sf{3x^3-5x^2+9x^2-10x-15x-30}[/tex]
Add/subtract the numbers from left to right.
-5x²+9x²=4x²
[tex]\Longrightarrow: \sf{3x^3+4x^2-10x-15x-30}[/tex]
Solve.
[tex]\sf{-10x-15x=-25x}[/tex]
Then rewrite the problem.
[tex]\Longrightarrow: \boxed{\sf{3x^3+4x^2-25x-30}}[/tex]
Therefore, the correct answer is 3x³+4x²-25x-30.I hope this helps! Let me know if you have any questions.
Answer:
[tex]3x^2 + 4x^2 - 25x - 30[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex](x + 3)(3x^2 - 5x - 10)[/tex]
[tex](x * 3x^2) + (x * (-5x)) + (x * (-10)) + (3 * 3x^2) + (3 * (-5x)) + (3 * (-10))[/tex]
[tex]3x^3 - 5x^2 - 10x + 9x^2 - 15x - 30[/tex]
Step 2: Combine like terms
[tex]3x^3 - 5x^2 + 9x^2 - 15x - 10x - 30[/tex]
[tex](3x^2) + (-5x^2 + 9x^2) + (-15x - 10x) + (-30)[/tex]
[tex]3x^2 + 4x^2 - 25x - 30[/tex]
Answer: [tex]3x^2 + 4x^2 - 25x - 30[/tex]
The high attendance at this year's Vacation Bible School at Highland Church was one hundred
seven children. This was twenty-three less than twice the number that attended last year. How many
children attended last year?
Answer: 65
Step-by-step explanation:
Given:
This year's attendence = 107
Let last year's attendence = x
Create an equation an solve for x:
2x - 23 = 107
2x = 107 + 23
2x = 130
x = 130/2
x = 65
Therefore, 65 children attended last year's Vacation Bible School
Ham bought 40 calculators each at £8.20 and a number of other calculators at £2.95each .in all he spent £387 .how many cheaper calculators did he buy ?
I need help with this question. Giving points for good answers.
Answer:
4968
Step-by-step explanation:
4500 x (1-4%) x (0.15 + 1) = 4500 x 0.96 x 1.15
(4500 x 0.96) x 1.15 = 4320 x 1.15
4320 x 1.15 = 4968
Hope this helps!
what is the value of x? x°-4 100° 3x°
Answer:
x = 21
Step-by-step explanation:
The sum of interiro angles in atriangle is equal to 180:
x - 4 + 100 + 3x = 180 add like terms
4x + 96 = 180 subtract 96 from both sides
4x = 84 divide both sides by 4
x = 21
Answer:
The answer is x = 21.
Step-by-step explanation:
I ate of a box of donuts. My friend ate 1/3 more than I did. What fraction of the box of donuts did we eat in all? i will give brainless!
Answer:
2 1/3
Step-by-step explanation:
if you ate a whole box, (1) and your friend ate 1/3 MORE than you, it would be: 1 + 1 1/3. hope this helped :)
I'll give brainly to who can answer these 2 questions and must be correct C:
~Chiena
1- Science is based on the correspondence theory of truth, which claims that truth corresponds with facts and reality.
2- Various philosophers have put forth substantive challenges to the truth claims made by science.
Answer:
FACT CHECK THE ANSWERS!! they are based of mild research and could be wrong!!))
both questions come back as true from the best of my ability and understanding
Step-by-step explanation:
1) In metaphysics and philosophy of language, the correspondence theory of truth states that the truth or falsity of a statement is determined only by how it relates to the world and whether it accurately describes (i.e., corresponds with) that world.
2) Some philosophers view the concept of truth as basic, and unable to be explained in any terms that are more easily understood than the concept of truth itself. Most commonly, truth is viewed as the correspondence of language or thought to a mind-independent world. This is called the correspondence theory of truth.
both exlanations are snippets from Wikipedia
Select the correct answer.
Function F is nonlinear and f(5) = 4. Which equation could represent function F ?
A. f(x) = x^2 – 11
B. f(x) = 2^x - 28
C. f(x) = 1/5x + 3
D. f(x) = 5
i know its not C
. The ratio of the measures of the sides of a
triangle is 4:7:5. If the perimeter of the
triangle is 128 yards, find the length of the
longest side.
Step-by-step explanation:
4+7+5=16
128:16=8
8*7=56 yards
A triangle has side lengths of (7x - 4) centimeters, (x + 3) centimeters, and
-
(3y + 2) centimeters. Which expression represents the perimeter, in centimeters, of
the triangle?
Answer:
Step-by-step explanation:
Formula
P = s1 + s2 + s3
Givens
s1 = 7x - 4
s2 = x + 3
s3 = 3y + 2
Solution
P = 7x - 4 + x+3 + 3y + 2
P = 8x + 3y + 3 + 2 - 4
Answer
P = 8x + 3y + 1
Note: I can't read the choices well enough to tell which answer it is. To me, it looks like A
Please help! Will mark brainlyest.
What is the mean of this set: (2, 6, 7, 9, 9, 9}? O 6 O 7 8 9What is the mean of this set: (2, 6, 7, 9, 9, 9)? O 6 O 7 C 8 C 9
The ratio of the sum of the values of a data set to the total number of values in the data set is that data set's mean.The mean of the considered data set (2, 6, 7, 9, 9, 9) is given by: Option B: 7
How to find the mean of a data set?Mean is the ratio of the sum of the values of the data set to the total number of values available in the data set.
Thus, we get;
[tex]\rm Mean = \dfrac{\text{Sum of the observations of the data set}}{\text{Total number of observations}}[/tex]
For this case, we're given the data set 2, 6, 7, 9, 9, 9
There are total 6 observations in this data set.
The sum of these observations is:
2+6+7+9+9+9 =42
Thus, we get:
[tex]\rm Mean = \dfrac{\text{Sum of the observations of the data set}}{\text{Total number of observations}} = \dfrac{42}{6} = 7[/tex]
Thus, the ratio of the sum of the values of a data set to the total number of values in the data set is that data set's mean.The mean of the considered data set (2, 6, 7, 9, 9, 9) is given by: Option B: 7
Learn more about mean here:
https://brainly.com/question/16118626
#SPJ1
Answer:
b. 7
Step-by-step explanation:
The following table represents the annual sales of a bakery for the last 7 years since the grand opening.
Year
1 2 3 4 5 6 7
Sales (in millions)
1 1.2 1.5 1.8 2 2.2 2.4
(a) Create a scatter plot using the data in the table.
(b) Which model type best fits the data?
(c) Use a graphing calculator or other technology to determine the regression model. Graph the model on the scatter plot and write the equation of the model on the plot. Round each term to the nearest ten-thousandth.
The scatter plot is given below. The linear model best fits the data and the equation of the linear model is y = 0.2667 + 0.7333.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The following table represents the annual sales of a bakery for the last 7 years since the grand opening.
(a) Create a scatter plot using the data in the table. The table is given below.
[tex]\begin{matrix}\rm Year&1 &2 &3 &4 &5 &6 &7 \\\\\rm Sales (in millions)&1 &1.2 &1.5 &1.8 &2 &2.2 &2.4\end{matrix}[/tex]
(b) The linear model type best fits the data.
(c) Use a graphing calculator or other technology to determine the regression model. Graph the model on the scatter plot and write the equation of the model on the plot. Then the equation will be
[tex]\rm y=\left(\dfrac{2.4-1}{7-1}\right)\left(x-1\right) + 1\\\\y = 0.2667 (x - 1) + 1\\\\y = 0.2667x - 0.7333[/tex]
The graph is given below.
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ1
Find the equation for a polynomial f(x) that satisfies the following:
Degrees 3
Zero at x 4
Zero at x -3
Zero at x -4
Y intercept (0,8)
Answer:
f(x) = 1/2(4 - x)(x - 1)(x - 2)
Step-by-step explanation:
Considering zero's and a coefficient, the function is:
f(x) = a(x - 4)(x - 1)(x - 2)
Considering y-intercept:
f(0) = a(0 - 4)(0 - 1)(0 - 2)
4 = a(-4)(-1)(-2)
4 = -8a
a = -1/2
So the function is:
f(x) = -1/2(x - 4)(x - 1)(x - 2) = 1/2(4 - x)(x - 1)(x - 2)
One year, sales increased by 15%. The following year sales increased by 18%. Calculate the overall percentage increase in sales.
Answer:
35.7%
Step-by-step explanation:
Sales increase in Year 1
Let the original sales be xSales has increased by 15%Therefore, new sales will be :Original sales + Original sales x 15%⇒ x (1 + 15%)⇒ x (1 + 0.15)⇒ x (1.15)⇒ 1.15xSales increase in Year 2
From Year 1, it has increased by 18%New sales will be :Year 1 sales + Year 1 sales x 18%⇒ 1.15x (1 + 18%)⇒ 1.15x (1 + 0.18)⇒ 1.15x (1.18)⇒ 1.357xOverall Increase
Year 2 sales - Original sales / Original sales1.357x - x / x0.357x / x0.357Decimal to % ⇒ x 100%0.357 x 100%35.7%Let the sales be known as "a".
Given statement:
One year, sales increased by 15%.
This can be written as:Year 1 = a + (a × 15%)Step-1: Evaluate the percentage⇒ Year 1 = a + (a × 15%)⇒ Year 1 = a + (a × 15/100)Step-2: Multiply the terms inside the parentheses⇒ Year 1 = a + (a × 15/100)⇒ Year 1 = a + (15a/100)Step-3: Open the parentheses⇒ Year 1 = a + (15a/100)⇒ Year 1 = 100a/100 + 15a/100Step-4: Add the like terms;⇒ Year 1 = 100a/100 + 15a/100⇒ Year 1 = 115a/100Next year (Year 2):Given statement:
The following year sales increased by 18%.
This can be written as:Year 2 = Year 1 + (Year 1 × 18%) Step-1: Substitute the amount of sales in year 1:⇒ Year 2 = Year 1 + (Year 1 × 18%) ⇒ Year 2 = 115a/100 + (115a/100 × 18/100)Step-2: Simplify the fractions in the parentheses:⇒ Year 2 = 115a/100 + (115a/100 × 18/100)⇒ Year 2 = 115a/100 + (23a/20 × 9/50)Step-3: Multiply the fractions in the parentheses:⇒ Year 2 = 115a/100 + (23a/20 × 9/50)⇒ Year 2 = 1150a/1000 + (207a/1000)Step-4: Open the parenthesis:⇒ Year 2 = 1150a/1000 + (207a/1000)⇒ Year 2 = 1150a/1000 + 207a/1000Step-5: Add the fractions:⇒ Year 2 = 1150a/1000 + 207a/1000⇒ Year 2 = 1357a/1000Overall percentage increase:Formula:
Overal percentage increase = (Sales in year 2 - Original sales) × 100
Step-1: Substitute the values in the equation:⇒ Overal percentage increase = (Sales in year 2 - Original sales) × 100⇒ Overal percentage increase = (1357a/1000 - a) × 100Step-2: Simplify the expression in the parentheses:⇒ Overal increase = (1357a/1000 - a) × 100⇒ Overal increase = (1357a/1000 - 1000a/1000) × 100⇒ Overal increase = (357a/1000) × 100Step-3: Open the parentheses and simplify:⇒ Overal increase = (357a/1000) × 100⇒ Overal increase = 357a/10 ⇒ Overal increase = 35.7aStep-4: Determine the overal increase in percentage:⇒ Overal increase = 35.7a⇒ Overal percentage increase = 35.7%Therefore, the overal increase in percent is 35.7%.
What is the solution to the linear equation? 4b 6 = 2 – b 4 b = –2 b = 0 b = 4 b = 6
Linear equations are equation that has a degree of 1. The solution to the given linear equation is 4/5
Solving linear equationLinear equations are equation that has a degree of 1
Given the linear equation expressed as
4b + 6 = 2 - b
Collect the like terms
4b +b = 2- 6
5b = -4
Divide both sides by 5
b = 4/5
Hence the solution to the given linear equation is 4/5
Learn more on linear equation here: https://brainly.com/question/2030026
Answer:
b= 0 (option B)
PLS HELP! This is due soon!!
Answer:
Step-by-step explanation:
( x' , y' ) = ( x + 0 , y - 3 ) ⇒ ( x , y ) = ( x' + 0 , y' + 3 )
E( - 4 , - 3 )
F( - 3 , 1 )
G( - 1 , - 2 )
H( 1 , 3 )
If f(x) = -4x - 10, what is the
value of f(-6)?
I
in the garden, the ratio of roses to daises is 1:3. there are 8 roses. How many daises are there
How are bitcoin hashes made?
The graph of the revenue function f(x) = -0.07x² +3.5x
is used to determine revenue in hundreds of thousands
of dollars, where revenue depends on the number of
thousands of items sold, x.
y
60
-50
8
-10
40
30
20
10
10 20
30
40
50
X
60
How do the mathematical domain and reasonable
domain compare?
O mathematical:-00
O mathematical:-00
O mathematical: 0
mathematical: 0
O
8
Answer:B
its B on edg 2022
Step-by-step explanation:
The table of values for quadratic function g is shown below.
g(x)
-2
30
16
O
4
6
30
If 1 Is a solution to g(x) = 0, what is the other
solution?
A
B
C
D
-2
Answer:
The table of values for a quadratic function g is shown below.x= -3, -2, -1, 0, 2, 3, 4, 6 g(x)= 48, 30, 16, 6, -2, 0, 6, 30 if 1 is a solution ...
1 answer
· 5 votes: try with 6 !!!!!!!!!!!!
Step-by-step explanation: