Answer:
Step-by-step explanation:
Assuming you want to find x, we can set two equations:
x-3=0
2x-3=0
This is so that we can individually find x within the two paranthesis and not have to do more work. It helps for standardized tests.
solve for x on both sides, and you get 3 and 1.5
Answer:
[tex]x=3, x=\frac{3}{2}[/tex]
Step-by-step explanation:
[tex]\left(x-3\right)\left(2x-3\right)=0[/tex]
The zero product theorem will be used here to solve this non-linear problem.
means that in the original equation, each variable component must be set to zero.
[tex]\begin{cases} x-3=0\\2x -3=0\end{cases}[/tex]
To solve this linear equation, we need to group all of the variable terms on one side of the equation and all of the constant terms on the other.
so, -3 will be moved to the right side
Notice that when a term moves from one side of the equation to the other, it changes sign.
[tex]\begin{cases} (x-3)+3=3\\(2x-3)+3=3 \end{cases}[/tex]
[tex]x\left \{ 3,\frac{3}{2} \}[/tex]
OAmalOHopeO
The function f(x) is shown on the graph.
What is f(0)?
0 only
-6 only
-2,-1,1, and 3 only
-6,-2,-1,1,and 3 only
Answer: -6 only (choice B)
This is because the point (0,-6) is on the blue line. This is the y intercept.
Choice C would be true if you wanted to solve f(x) = 0, instead of f(0) itself.
Answer:
-6
Step-by-step explanation:
f(0) means what is the output when the input is 0
x=0 y= -6
Can you answer this math homework? Please!
Answer: (3.5,-2)
Step-by-step explanation:
To solve this problem, all we have to do is plug in y=-2 into either equations from step one to find the coordinate. To make sure we have the right x-coordinate, let's plug in y for both equations.
4x-7y=28 [plug in y=-2]
4x-7(-2)=28 [multiply]
4x+14=28 [subtract both sides by 14]
4x=14 [divide both sides by 4]
x=3.5
------------------------------------------------------------------------------------------------------------
6x-5y=31 [plug in y=-2]
6x-5(-2)=31 [multiply]
6x+10=31 [subtract both sides by 10]
6x=21 [divide both sides by 6]
x=3.5
Now, we know the solution to the system is (3.5,-2).
Answer:
(3.5, -2)
Step-by-step explanation:
Hi there!
We are given a system of equations, and the value for y is already solved (y=-2)
We want to find the value of x
To do that, substitute -2 as y into either one of the equations in the system (the system has the equations 4x-7y=28 and 6x-5y=31) and solve for x
Let's use 4x-7y=28, although picking 6x-5y=31 is completely fine
Substitute -2 as y into the equation
4x-7(-2)=28
Multiply
4x+14=28
Subtract 14 from both sides
4x=14
Divide both sides by 4 and simplify
x=7/2, or 3.5
We found the value of x in the system
Substitute the values of x and y into a point form (x, y)
The solution is (3.5, -2)
Hope this helps!
What is the solution of the system of equations?
nd
y = -2x + 8
y = x - 4
Answer: x=4
Step-by-step explanation:
Concept:
There are three ways to solve the system of equations
SubstitutionElimination GraphingHere, we would use substitution because we have two same variables.
--------------------------------------------------------------------------------------------------
Solve:
Given
y = -2x + 8
y = x - 4
Substitute
-2x + 8 = x - 4
Add 4 on both sides
-2x + 8 + 4 = x - 4 + 4
-2x + 12 = x
Add 2x on both sides
-2x + 12 + 2x = x + 2x
12 = 3x
Divide 3 on both sides
12 / 3 = 3x / 3
x = 4
Hope this helps!! :)
Please let me know if you have any questions
Solve for the value of x
Answer:
x = 2
Step-by-step explanation:
Given 2 intersecting chords in a circle, then
The product of the parts of one chord is equal to the product of the parts of the other chord , that is
12x = 6(x + 2) = 6x + 12 ( subtract 6x from both sides )
6x = 12 ( divide both sides by 6 )
x = 2
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
The term 'secant' refers to a line segment that intersects a circle in two places. When two secants intersect inside a circle, one can use the product of lengths theory to form ratios between the parts of intersection between the secants. This ratio can be described as the following, let ([tex]secant_A[/tex]) and ([tex]secant_B[/tex]) represent the two secants in the circle. Part (1) and (2) will refer to the two parts formed after the intersection of the secants.
[tex](secant_A_1)(secant_A_2)=(secant_B_1)(secant_B_2)[/tex]
Use this formula in the given situation, substitute the given values in and solve for the unknown,
[tex](secant_A_1)(secant_A_2)=(secant_B_1)(secant_B_2)[/tex]
[tex](6)(x+2)=(12)(x)[/tex]
Simplify,
[tex](6)(x+2)=(12)(x)[/tex]
[tex]6x+12=12x[/tex]
[tex]12=6x[/tex]
[tex]x=2[/tex]
There are 5 pears, 10 grapes, and 4 strawberries in a bag. What is the ratio of all pieces of fruits to pears?
Answer:
19: 5
Step-by-step explanation:
Total fruit is 5+10+4 = 19
fruit: pears
19: 5
Answer:
19:5
Step-by-step explanation:
5+10+4= 19
Pears= 5
NEED HELP WITH BOTH PARTS URGENTLY‼... FIND THE COORDINATES OF THE POINT WHERE y-4x=1 crosses the y-axis
THE DIAGRAM SHOWS THE GRAPH OF Y = 2x + c , where c is constant.
a) (0, 1)
The graph will cross the y-axis at the y-intercept. We can easily find this value by putting the given equation into slope-intercept form (y = mx + b).
y - 4x = 1
y = 4x + 1
The y-intercept is (0,1).
b) k = 6.5
We first need to find c, or the y-intercept. This is given to us on the graph, where the line crosses the y-axis at (0,-3).
Therefore, our line is y = 2x - 3.
Then, we can plug in 10 for y from the point (k,10) and solve for k (which is the same as x).
10 = 2x - 3
13 = 2x
x = 6.5
Hope this helps!
I will mark you the brainiest for the correct answer, please be correct, Have a good day and take care, thanks. ( VIEW THE IMAGE TO ANSWER).
Mistake in Line 2 : Was in the determining the values for a ,b,c
Mistake in Line 4 : Not taking the square roots of both sides.
Step-by-step explanation:
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
First Mistake : Line 2
[tex]a = x \\ b = 6 \\ c = 10[/tex]
Second Mistake : Line 4
[tex]136 = {x}^{2} \\ not \\ 136 = x[/tex]
Correct Solution :
[tex] {x}^{2} + {6}^{2} = {10}^{2} \\ {x}^{2} = {10}^{2} - {6}^{2} \\ {x}^{2} = 100 - 36 \\ [/tex]
[tex] {x}^{2} = 64 \\ \sqrt{ {x}^{2} } = \sqrt{64} \\ x = 6[/tex]
A boy borrowed his boat 531 feet out into the ocean. When he looked back he saw the house on a cliff above the beach where he set out. He estimated the angle of elevation was 26 degrees. Estimate to the nearest foot. the height of the house above the water
Answer:
259 ft.
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangles are isosceles. scalene, equilateral, acute, obtuse and right angled triangle.
A right angled triangle is a triangle in which one of the angles is 90 degrees. Trigonometric ratios show the relationship between the angles of a right angle triangle and its sides.
Let h represent the height of the house above water, hence using trigonometric ratios:
tan(26) = h / 531
h = 531 * tan(26)
h = 259 ft.
write equation!!
twice the difference of a number and seven equals five 
Answer:
Its either 2(A+7=5) or 2(A+7) =5
It is possible to get two solutions when solving a radical equation.
True or false
yes it is possible, although it doesn't always occur.
Your answer is: True
express the equation for
[tex] \frac{15y - 10}{3x} [/tex]
=6 in the form of mx+b
Answer:
is it 6 with the 10
Step-by-step explanation:
Answer:
y = 6/5 x + 2/3
Step-by-step explanation:
A equation is given to us and we need to express it in , mx + b form . The given equation to us is,
[tex]\rm\implies 6 = \dfrac{15y - 10}{3x} [/tex]
Move 3x to LHS , we will get ,
[tex]\rm\implies 6 * 3x = 15y - 10 \\\\\rm\implies 18x = 15y - 10 \\\\\rm\implies 15y = 18x + 10 \\\\\rm\implies y =\dfrac{18x+10}{15} \\\\\rm\implies \boxed{ \bf y = \dfrac{6}{5}x + \dfrac{2}{3}}[/tex]
This is the required answer .
y=x²+4x-3 y=5x+3 solve the simultaneous equation
Answer:
(-2, -7) or (3, 18)
Step-by-step explanation:
Start with your 2 equations
y = x^2 + 4x - 3
y = 5x + 3
Because both equal y, we substitute:
x^2 +4x -3 = 5x+ 3
x^2 - x - 6 = 0
Factor:
(x + 2) (x - 3) = 0
Solutions for x: -2 or 3 since if either of the numbers in parentheses is 0, the equation is 0 (0* anything = 0).
Then plug -2 in for x in either equation:
y = 5* -2 + 3
y = -7
So ( -2, -7) is a solution.
Plug 3 in for x in either equation:
y = 5*3 + 3
y = 18
So ( 3 , 18) is a solution.
Hope that helps, let me know if I did anything wrong!
Answer:
(- 2, - 7 ) and (3, 18 )
Step-by-step explanation:
Given the 2 equations
y = x² + 4x - 3 → (1)
y = 5x + 3 → (2)
Substitute y = x² + 4x - 3 into (2)
x² + 4x - 3 = 5x + 3 ( subtract 5x + 3 from both sides )
x² - x - 6 = 0 ← in standard form
(x - 3)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 3 = 0 ⇒ x = 3
Substitute these values into (2) for corresponding values of y
x = - 2 : y = 5(- 2) + 3 = - 10 + 3 = - 7 ⇒ (- 2, - 7 )
x = 3 : y = 5(3) + 3 = 15 + 3 = 18 ⇒ (3, 18 )
What is the range of the function f(x) = -2(6^x) + 3?
o (-inf,-2]
0 (-inf,3)
O [-2,inf)
O [3,inf)
Answer:
write question in short form
Step-by-step explanation:
math math uhhh i no like math
n33d h319 pls
hope it helps✓✓✓✓✓✓✓✓✓
Answer: A for 10
Step-by-step explanation:
Ella has two 8-ft. long boards. She
needs to cut pieces that are 15 inches
long. How many 15-inch pieces can
she cut from the two boards?
My sister needs help?
Answer:
Step-by-step explanation:
The selling price of an apartment dropped from 250,000 to 225,000. By What percent did the price drop?
Answer:
10%
Step-by-step explanation:
The percentage decrease in price = [tex]\frac{decrease amount}{original amount}[/tex] x 100%
Original amount = 250,000
New amount = 225,000
Decrease in amount = 250,000 - 225,000
= 25,000
So that;
Percentage decrease in price = [tex]\frac{25000}{250000}[/tex] x 100%
= 0.1 x 100%
Percentage decrease in price = 10%
The price of the apartment dropped by 10% of its original price.
geometry, trigonometry
Answer:
Hello
Answer B: 32.58°
Step-by-step explanation:
[tex]sin (\widehat{A})=\dfrac{35}{65} \\\\\widehat{A}=arcsin(\dfrac{7}{13} )=32.5789...^o[/tex]
6.7.37
Question Help
Ay
60
a
A teenager starts a company selling personalized coffee mugs. The profit
function, in dollars, for producing and selling x mugs is
f(x) = -0.4x?
+ 12x-50, whose graph is shown.
40-
20-
0
TO
-20-
20
a. What are the start-up costs for the teenager's company?
b. How many mugs must the teenager sell before she breaks even?
c. How many mugs will give the maximum profit?
d. What will the profit be if she sells 10 mugs?
30
-407
-60-
Answer:
a. The start-up cost for the teenagers company is $50
b. The number of mugs the teenager must sell to break even are 5 mugs or 25 mugs
c. The number of mugs that will give maximum profit is 15 mugs
d. The profit if she sells 10 mugs is $30
Step-by-step explanation:
The given profit function for selling x number of mugs is presented as follows;
f(x) = -0.4·x² + 12·x - 50
a. The start-up cost in dollars is given by the value of the profit function at the start, where, x = 0, as follows;
Start-up cost = f(0) = -0.4×0² + 12×0 - 50 = -50
The negative sign represents amount put in the business
The start-up cost = (The initial) $50 put into the business.
b. The break even point is the point where, the revenue and costs are equal
At break even point; Revenue = Cost
∴ Profit, at break even point, f(x) = Revenue - Cost = 0
From the profit function, we get;
At the break even point, f(x) = 0 = -0.4·x² + 12·x - 50
Dividing by -0.4 gives;
0/(-0.4) = 0 = (-0.4·x² + 12·x - 50)/(-0.4) = x² - 30 + 125
0 = x² - 30 + 125
∴ (x - 25)·(x - 5) = 0
The number of mugs the teenager must sell before she breaks even, x = 5 mugs or x = 25 mugs.
c. From the general form of a quadratic equation, which is; y = a··x² + b·x + c, the formula for the x-values at the maximum point is; x = -b/(2·a)
Comparing the profit function to the general form of the quadratic equation we have at the maximum point;
x = -12/(2×(-0.4)) = 15
Therefore, the number of mugs that will give maximum profit, x = 15 mugs.
d. The profit from selling 10 mugs, f(10) is given as follows;
f(10) = -0.4 × 10² + 12 × 10 - 50 = 30
The profit from selling 10 mugs, f(10) = $30
−8.3 + 9.2 − 4.4 + 3.7
Answer:
1.2
Step-by-step explanation:
- 8. 3 + 3. 7 = -4
-4 - 4 .4 = - 8. 4
-8.4 + 9.2 = 1.2
Original Price: $90 Sale Price: $58.50
Can you also show the math
Answer:
You didn't give me any specifics about what you want me to solve or do.
Find f(-2) for f(x) = 2•3^x
Answer:
2/9
Step-by-step explanation:
f(x) = 2•3^x
Let x = -2
f(-2) = 2•3^-2
We know that a^-b = 1/a^b
f(-2) = 2• 1/3^2
= 2/9
f(x) = 2 * 3^x
f(-2) = 2 * 3^-2
f(-2) = 2 * 1/3^2
f(-2) = 2 * 1/9
f(-2) = 2/9
Hope this helps!
Which statements are true about finding the difference of the expressions? Select three options
[tex]\frac{3p+1}{6p}[/tex] and [tex]\frac{2p-3}{2px^{2} }[/tex]
A. The common denominator is 6p.
B. The first fraction rewritten with the LCD is [tex]\frac{3px^{2} +p}{6px^{2} }[/tex]
C. The second fraction rewritten with the LCD is [tex]\frac{6p-9}{6p}[/tex]
D. The diffrence is [tex]\frac{3px^{2} -5p+9}{6px^{2} }[/tex]
E. The difference is a rational expression.
Answer:
CAUTION HERE !!!!!
if you suggested edits are accurate the solution would be...
[tex]\frac{3p^2 - 5p+9}{6p^2}[/tex]
that is not one of your choices, but is is almost identical to choice "D"
which is different by [tex]6px^2[/tex] vs [tex]6p^2[/tex]
which i think is your comment ????
Step-by-step explanation:
The purchasing price of thing is called_price
a) Actual
b) cost
c) selling
The sum of three consecutive numbers is 117.what is the largest of the three numbers?write an equation to represent this scenario and solve for the variable
Answer:rrrrrrrr
rrrrrrrrrr
Step-by-step explanation:
rrrrrrrrrrrrrrr
The equation for the scenario is x + x+1 + x+2 = 117 and largest number is 40.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let x be the first number:
The other numbers are:
x+1, x+2
The sum of three consecutive numbers is 117:
x + x+1 + x+2 = 117
3x + 3 = 117
3x = 114
x = 38
x+ 1 = 38+1 = 39
x+2 = 38+2 = 40
Thus, the equation for the scenario is x + x+1 + x+2 = 117 and largest number is 40.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
The area of a circle is 80.86cm2.
Find the length of the radius rounded to 2 DP.
Answer:
Solution given:
The area of a circle =80.86cm²
we have:
The area of a circle =πr²
substituting value of area of circle we get
80.86cm=3.14*r²
dividing both side by 3.14
80.86/3.14=3.14*r²/3.14
25.75=r²
doing square root on both side
[tex]\sqrt{25.75}=\sqrt{r²}[/tex]
r=5.07cm
The length of radius is 5.07cm
The length of the radius is 5.07 cm.
What is the area of the circle?The area of the circle is given by;
[tex]\rm Area \ of \ circle=\pi r^2\\\\Where: \ r = radius[/tex]
The area of a circle is 80.86cm^2.
The length of the radius is;
[tex]\rm Area \ of \ circle=\pi r^2\\\\ 80.86=\pi r^2\\\\r^2=\dfrac{80.86}{3.14}\\\\r^2=25.75\\\\r=5.07[/tex]
Hence, the length of the radius is 5.07 cm.
Learn more about radius here;
https://brainly.com/question/11952845
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The equation 9 y minus 6 x = 36 is written in standard form. What is the first step when writing an equivalent equation which solves for x? Divide both sides of the equation by 36. Multiply both sides of the equation by 6. Add 9y to both sides of the equation. Subtract 9y from both sides of the equation.
Answer:
D. Subtract 9y from both sides of the equation.
Step-by-step explanation:
A. Divide both sides of the equation by 36.
B. Multiply both sides of the equation by 6.
C. Add 9y to both sides of the equation.
D. Subtract 9y from both sides of the equation.
Given:
9y - 6x = 36
To solve for x
Step 1: subtract 9y from both sides
9y - 6x - 9y = 36 - 9y
- 6x = 36 - 9y
Step 2: Divide both sides by -6
- 6x / -6 = (36 - 9y) / - 6
x = (36 - 9y) / - 6
The answer is
x = (36 - 9y) / - 6
Answer:
d
Step-by-step explanation:
The digits 1, 7, and 8 and 2 copies of the digit 5 are all arranged to form a 5-digit integer. How many different integers can be formed?
Step-by-step explanation:
You have 5 digits.Youdonot say if duplication is allowed. I will assume not
For the first digit you have 5 choices. One of the 5 digits is gone.
You now have 4 digits to choose from. You pick one. Now you have but 3 left.
The total answer if 5*4*3*2*1 = 120
how many metres are there in ½ of ⅕ km
Step-by-step explanation:
1/5=1/5×1000=200
1/2 of 200
1/2×200=100
Some students were asked how many pens they were carrying in their backpacks. The data is given in this frequency table. What is the mean number of pens carried by these students in their backpacks?
A. 3
B. 3.5
C. 4
D. 4.5
Answer:
4
Step-by-step explanation:
Mean: the sum of all numbers divided by the amount of numbers
In this case it will be the sum of all frequency divided by the amount of pens
Mean = 5 + 7 + 3 + 5 + 3 + 2 / 6
Mean = 25/6
Mean = 4.16
The mean is approximately 4
Help with question 24 the answer is (y-2)(a-b) but I need explain I don’t understand
Answer:
a(y_2)_b(y_2) =a_b)(y_2(
