Answer:
x = - 1 ± i [tex]\sqrt{3}[/tex]
Step-by-step explanation:
Given
3x² = - 12 - 6x ( add 6x to both sides )
3x² + 6x = - 12 ( divide through by 3 )
x² + 2x = - 4
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(1)x + 1 = - 4 + 1
(x + 1)² = - 3 ( take the square root of both sides )
x + 1 = ± [tex]\sqrt{-3}[/tex] = ± i [tex]\sqrt{3}[/tex] ( subtract 1 from both sides )
x = - 1 ± i [tex]\sqrt{3}[/tex]
y=3x-5 complete missing value in the solution to the equation (1,_) i cant find the second point
[tex]\bf y = 3x - 5\qquad \qquad \boxed{(\stackrel{x}{1}~~,~~\stackrel{y}{?})}\qquad \qquad y = 3(\stackrel{x}{1})-5\implies y = -2 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (1,-2)~\hfill[/tex]
Estimate of sum 1.5 and 6.8
The slope of the line below is -1/7. Write a point slope equation of the line using the coordinates of the labeled point
Answer:
○ D. y - 3 = -⅐(x - 3)
Step-by-step explanation:
According to the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful inserting the coordinates into the formula with their CORRECT signs.
I am joyous to assist you anytime.
Equation of line is [tex]y = -\frac{x}{7} + \frac{24}{7}[/tex]
Formula for finding Equation of line?[tex]y - y_{1} = m ( x - x_{1} )[/tex]
where [tex](x_{1},y_{1})[/tex] are coordinates and m is slope.
How to solve?
Given:- Coordinate (3,3) and slope [tex]\frac{-1}{7}[/tex]
Equation of line:
[tex]y - y_{1} = m ( x - x_{1} )[/tex]
given : [tex]x_{1} = 3 , y_{1} = 3 , m = -\frac{1}{7}[/tex]
substituting values, Equation of line is:
y - 3 = [tex]-\frac{1}{7}[/tex] ( x - 3)
[tex]y = - \frac{x}{7} + \frac{3}{7} + 3[/tex]
[tex]y = -\frac{x}{7} + \frac{24}{7}[/tex]
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Jessica and Riley are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping
paper or holiday wrapping paper. Jessica solf 5 rolls of plain and 13 rolls of holiday wrapping paper for a total
$272. Ryan solf 11 rolls of plain and 16 rolls of holiday wrapping paper for a total $359. What is the cost of one
roll of plain wrapping paper and one roll of holiday wrapping paper?
Answer:
Cost of one roll of plain wrapping: [tex]\$5[/tex]
Cost of one roll of holiday wrapping paper: [tex]\$19[/tex]
Step-by-step explanation:
Let be "p" the cost in dollars of one roll of plain wrapping paper and "h" the cost in dollars of one roll of holiday wrapping paper.
Based on the information given, we can set up this system of equations:
[tex]\left \{ {{5p+13h=272} \atop {11p+16h=359}} \right.[/tex]
In order to solve it, we can use the Substitution method. The steps are:
1. Solve for "p" from the first equation:
[tex]5p+13h=272\\\\5p=272-13h\\\\p=\frac{272-13h}{5}[/tex]
2. Substitute the above into the second equation and solve for "h":
[tex]11(\frac{272-13h}{5})+16h=359\\\\598.4-28.6h+16h=359\\\\-12.6h=359-598.4\\\\h=\frac{-239.4}{-12.6}\\\\h=19[/tex]
3. Substitute the value of "h" into [tex]p=\frac{272-13h}{5}[/tex]:
[tex]p=\frac{272-13(19)}{5}\\\\p=5[/tex]
If 2x+1=5, then r=2.
Identify the inverse of the conditional statement.
If x=2, then 2x+1=5.
If 2x+15, then x =2.
If 2x +1+5, then x#2.
If x#2, then 2x+1+5.
Answer:
if x=2 (r) then 2x+1=5
Step-by-step explanation:
Considering an "if and if only" type of function then the answer is A. if x=2 then 2x+1=5
Which expression is equivalent to 28(15+9) ?
28 + 15 x 28 +9
28 x 15 +9
28 + 15 + 28 +9
28 x 15+28 x 9
The expression 28(15+9) can be simplified and rewritten using the distributive property as Option D. 28 x 15 + 28 x 9. This is the correct equivalent expression.
To determine which expression is equivalent to 28(15+9), we should first simplify the expression inside the parentheses:
Step 1: Simplify inside the parentheses: 15 + 9 = 24.
Step 2: Multiply by 28: 28 x 24.
Now, let's break it down further:
Using distributive property: 28(15+9) can be rewritten as 28 x 15 + 28 x 9, which will result in distributive multiplication.
28 + 15 x 28 +9: Incorrect, this misinterprets the operations.28 x 15 +9: Incorrect, this does not distribute multiplication correctly.28 + 15 + 28 +9: Incorrect, this is simply adding all terms.28 x 15 + 28 x 9: Correct, this distributes the multiplication as required.Therefore, the equivalent expression is Option D. 28 x 15 + 28 x 9.
Complete question:
Which expression is equivalent to 28(15+9) ?
A. 28 + 15 x 28 +9
B. 28 x 15 +9
C. 28 + 15 + 28 +9
D. 28 x 15+28 x 9
the second of two numbers is 3 less than twice the first. Their sum is 36. Find the numbers.
Answer:
13 and 23
Step-by-step explanation:
create an equation to solve:
(2x-3) + x = 36
3x - 3 = 36 combine like terms
+3 +3 add 3 to both sides
3x = 39
3 3 divide both sides by 3
x = 13
13 is the first number
the 2nd number is 3 let than twice the first so we create and solve a new equation:
2x - 3 = ?
2(13) = ? substitute 13 from the
smaller number to solve
23 = the 2nd number
Jack birthday is in 6 weeks how many day is it until jacks birthday? Complete the explanation on how you could use a number line to solve. I would draw_equal jumps of _beginning at 0 on the number line. The jumps end at _
Answer:
42 days
Step-by-step explanation:
1 week equals 7 days
7 × 6 = 42
What fraction represents 0.1875 ft?
Answer:
There is not much that can be done to figure out how to write 0.1875 as a fraction, except to literally use what the decimal portion of your number, the .1875 , means. Since there are 5 digits in 1875 , the very last digit is the "100000th" decimal place. So we can just say that .1875 is the same as 1875/100000.
Step-by-step explanation:
Answer:
fraction decimal
3/16 0.1875
hope this helps :3 & sorry if its wrong
How many times larger is 400 than 4
Answer:
It's 100x bigger.
Step-by-step explanation:
I divided 400 by 4 and got 100.
To check the work, you multiply 100 by 4.
The number 400 is 100 times greater than 4 when we divide the number 400 by 4.
What is a fraction?The fraction is defined as the division of the whole part into an equal number of parts. The fraction is defined as the representation of one number with respect to the other number. or one number is how many times the other number.
Given numbers are 400 and 4. To calculate the times divide the number 400 by 4. The division will be done as below:-
Divison = 400 / 4
Division = 100
Therefore, the number 400 is 100 times greater than 4.
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If your target number of calories is 1700 per day to lose weight, but you are consuming 2500 calories per day. Then, your target is to consume what percent of the calories you are consuming?
Answer:
32%
Step-by-step explanation:
We have been given that your target number of calories is 1700 per day to lose weight, but you are consuming 2500 calories per day.
First of all, we will find number of calories you should eat to lose weight by subtracting 1700 calories from 2500 calories.
[tex]2500-1700=800[/tex]
Now, we will find 800 is what percent of 2500.
[tex]\frac{800}{2500}\times 100=0.32\times100=32\%[/tex]
Therefore, your target should be consume 32% of the calories, you are consuming.
Solve the equation for y. yp+yn=x
This is tricky because it has a lot of variables, but we just have to treat this problem normally.
[tex]yp+yn=x[/tex]
separate y from p + n (feel free to check that you can do this by multiplying y out again and seeing that we have the same thing as before)
[tex]y(p+n)=x[/tex]
divide p + n on both sides
[tex]y = \frac{x}{p+n}[/tex]
Answer:
[tex]y = \frac{x}{p+n}[/tex]
To solve the equation yp + yn = x for y, factor out y to get y(p + n) = x, then divide both sides by (p + n) to isolate y, resulting in y = x / (p + n).
To solve the equation yp + yn = x for y, you need to factor y out of the left side of the equation.
This gives you y(p + n) = x.
To isolate y, you then divide both sides of the equation by (p + n), assuming p + n
eq 0, to get y = x / (p + n).
401,378 in word form
Answer:
Step-by-step explanation:
four hundred one thousand, three hundred seventy-eight
What is the slope of a line parallel to the line x = 5?
Answer:
Undefined
Step-by-step explanation:
The slope of a line parallel to the line x = 5 is undefined because the line would be a straight vertical line. Vertical lines don't have a slope because it is impossible to measure rise/run. Hope this helps!
Mary wants to make cookies. To make cookies she needs half a cup of flour per batch of cookies. If Mari has 5 cups of flour how many batches can Mari make?
10!
There's two halves in a whole. So we could do 5 x 2 to get our answer. Hope this helps!
What is the volume of the right square pyramid shown?
Answer:
C. 32 cm³
Step-by-step explanation:
[tex] {a}^{2}\frac{h}{3} = V[/tex]
[tex]({4})^{2}( \frac{6}{3}) = (16)(2) = 32[/tex]
a → length\base edge
I am joyous to assist you anytime.
Answer:
Step-by-step explanation: To find the area of the pyramid shown, we can first start by finding the area of the base. To find the area of the base, we can multiply the length by the width. Notice that both the length and the width of a square are equal so the area of a square will be equal to the length of a side multiplied by the length of a side.
Area = Length x Width = (side) (side)
Area = Side²
(4 cm²) = 16 cm².
Therefore, the area of the bases is 16 cm².
Now, let's finish the problem.
Image provided.
i need the answer on number 8
Answer:
van: 18
bus: 59
Step-by-step explanation:
x: students per van
y: students per bus
Highschool A:
x + 6y = 372 / *(-2)
Highschool B:
4x + 12y = 780
-2x - 12y = - 744
2x = 36
x = 18
Replace x in 1 equation
18 + 6y = 372
y = 59
1. Write 306,000,004,210 in words.
Answer:
three hundred and six billion, four thousand, two hundred and ten
13) zy + 4y; use y=5, and z=2
Answer:
30
Step-by-step explanation:
Substitute the given values for y and z into the expression
zy + 4y = (2 × 5) + (4 × 5) = 10 + 20 = 30
Answer:30
Step-by-step explanation:2x5+4x5=30
Kim's age is twice that of her sister when you add Kim's age to her sisters age to get 24 how old is each sister
Kim is 16 and her sis is 8 because 8+8 equals 16 and 8+16 equals 24
consider the graph below. Which of the following coordinates belong in the box?
Answer:
Option b) (-26,-5)
Step-by-step explanation:
We are given the following information in the question.
The x-coordinate changes from -21 to-16. Thus its value increases 5 units.
The y -coordinate changes from -9 to -13. Thus, it decreases by a value of 4 units.
So to obtain the coordinates in the box:
x-coordinate
We decrease 5 units from -21 that is -21 - 5 = -26
y- coordinate
We add 4 units to -9 that is -9 + 4 = -5
So, the coordinates in the box is given as:
Option b) (-26,-5)
7. Triangle RPQ is similar to triangle WPV. Find the missing length PW.
Answer:
PW = 11
Step-by-step explanation:
Given that the triangles are similar then the ratio of corresponding sides are equal, that is
[tex]\frac{RQ}{WV}[/tex] = [tex]\frac{RP}{PW}[/tex] ← substitute values
[tex]\frac{12}{6}[/tex] = [tex]\frac{22}{PW}[/tex] ( cross- multiply )
12PW = 132 ( divide both sides by 12 )
PW = 11
700+a=3944-b=c-80=3000
Answer:
A = 3244
B = 864
C = 3080
Step-by-step explanation:
700 + a = 3944
-700 -700
a = 3244
3944 - b = c - 80 = 3000
c - 80 = 3000
+80 +80
c = 3080
3944 - b = c ---> 3944 - b = 3080
-3944 -3944
-b = -864 ---> [tex]\frac{-b}{-1} = \frac{-864}{-1}[/tex]
The solution to the system of equations is:
a= 2380,
b= 864
c= 3080
The given equations are:
1. [tex]\(700 + a = 3944 - b\)[/tex]
2. [tex]\(3944 - b = c - 80\)[/tex]
3. [tex]\(c - 80 = 3000\)[/tex]
From equation 3, we can solve for [tex]\(c\)[/tex]:
[tex]\[c - 80 = 3000\][/tex]
Adding 80 to both sides:
[tex]\[c = 3080\][/tex]
Now, substituting this value of [tex]\(c\)[/tex] into equation 2:
[tex]\[3944 - b = 3080\][/tex]
Solving for [tex]\(b\)[/tex] :
[tex]\[b = 3944 - 3080\]\\b = 864\][/tex]
Finally, substituting the values of [tex]\(b\)[/tex] and [tex]\(c\)[/tex] into equation 1:
[tex]\[700 + a = 3944 - 864\]\\700 + a = 3080\][/tex]
Solving for [tex]\(a\)[/tex]:
[tex]\[a = 3080 - 700\]\\a = 2380\][/tex]
So the solutions for the variables are [tex]\(a = 2380\), \(b = 864\), and \(c = 3080\)[/tex].
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2(48)+2(8w)+2(6w)=208 please explain
Answer:
w=4
Step-by-step explanation:
2(48)+2(8w)+2(6w)=208
1) Start by Distributing the value outside of the parenthesis:
96+16w+12w=208
2) Combine alike terms:
96+28w=208
3) Subtract 96 from both sides:
28w=112
4)Divide both sides by 28 to isolate w:
w=4
Let me know if you do not understand :)
You are buying 3 shirts and 2 pairs of pants. You spend $300. Let x represent
the price of the shirt and y represent the price of the pants. Write an equation
that can be used to find the price of the shirts and pants.
Directions: Write the equation in both slope-intercept and standard form for each of the
scenarios below.
Using the Standard Form, identify the x-intercept of the graph and explain
how the x-intercept relates to the price of the pants and shirts.
Answer:
see the explanation
Step-by-step explanation:
Let
x ----> the price of the shirt
y ---> he price of the pants
we have that
The price of three shirts plus the price of two paints must be equal to $300
so
[tex]3x+2y=300[/tex]
This is the equation of the line in standard form
Convert to slope intercept form
[tex]y=mx+b[/tex]
Isolate the variable y
[tex]3x+2y=300[/tex]
subtract 3x both sides
[tex]3x+2y-3x=-3x+300[/tex]
[tex]2y=-3x+300[/tex]
Divide by 2 both sides
[tex]y=-1.5x+150[/tex] ----> equation of the line in slope intercept form
Find out the x-intercept
Remember that the x-intercept is the value of x when the value of y is equal to zero
In this problem, the x-intercept is the price of the shirt when the price of the paints is equal to zero
Using the Standard Form, identify the x-intercept of the graph
The standard form is
[tex]Ax+By=C[/tex]
The x-intercept is C/A
we have
[tex]3x+2y=300[/tex]
so
[tex]300/3=100[/tex]
The x-intercept is the point (100,0)
That means---> The price of the shirt is $100 when the price of the paints is equal to $0
Alternative method to find out the x-intercept (equation in slope intercept form)
[tex]y=-1.5x+150[/tex]
For y=0
[tex]0=-1.5x+150[/tex]
solve for x
[tex]1.5x=150[/tex]
[tex]x=\$100[/tex]
The x-intercept is the point (100,0)
Answer:
you should give the person who first answered this brainliest
Step-by-step explanation:
How do I solve the rest of this problem?
Answer:
Step-by-step explanation:
continuing from the 3rd line....
10x - 1 = 10x + 8 (subtract 10x from both sides)
10x - 10x - 1 = 10x -10x + 8
-1 = + 8 (this last line is not part of the solution but i'm showing it here so you can see what is going on, obviously -1 cannot be 8)
Since -1 ≠ 8, the equation has no (i.e zero) solutions
find the product and show your work 34,879 x 10 =
Answer:
34,879 × 10 = 348,790
Step-by-step explanation:
The answer is 348,790 because 34,879 multipled by 10 is 348,790 as shown in the picture above ^^
Answer:
348790
Step-by-step explanation:
According to the Power of 10 rule, whenever you divide by 10 [⅒], you move the decimal mark to the left each time, and of course, whenever you multiply by 10, you move the decimal mark to the right each time. In this case, the decimal mark is just after the 2, so multiplying by 10 will add a zero to the number, making it 348790 [three forty-eight thousand, eight hundred seventy-nine].
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I am thinking of a number.Multply my number 5 and add 13
Hey!
-----------------------------------------------
[tex]\boxed{ \bf 5n~+~13}[/tex]
-----------------------------------------------
Solution:
Number = n
Multiply a number and five: 5n
Add thirteen: + 13
End Result: 5n + 3
-----------------------------------------------
Hope This Helped! Good Luck!
Which expression is equal to [tex]2\sqrt{-27}[/tex] ?
−6i3√
63i−−√
6i3√
−63√
Answer:
6i3√ or 6i√3
Step-by-step explanation:
it takes away the - it is a trick question
Using root properties and complex numbers, it is found that the equivalent expression is:
[tex]6i\sqrt{3}[/tex]
----------------------------------
The most widely used definition in complex numbers is:
[tex]i^2 = -1 \rightarrow \sqrt{-1} = i[/tex]
The expression is:
[tex]2\sqrt{-27} = 2\sqrt{3 \times -9} = 2\sqrt{3 \times 9 \times -1}[/tex]
Applying the property:
[tex]2\sqrt{3 \times 9 \times -1} = 2\sqrt{3}\sqrt{9}\sqrt{-1} = 6i\sqrt{3}[/tex]
[tex]6i\sqrt{3}[/tex] is the equivalent expression.
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Hong traveled 37.9 miles each day for the past 6 days. How many miles did he travel in all?
Answer:
227.4 miles
Step-by-step explanation:
If Hong travelled 37.9 each day, then in 6 days :
37.9 × 6 = 227.4 miles
Answer:
227.4 miles hope this helps :3