Answer:
Option A
Step-by-step explanation:
Let us take this number as x, translating this description of the equation into mathematical language;
[tex]x^2 = 3x - 2[/tex]
Now let us solve for x;
[tex]x^2 = 3x - 2,\\x^2+2=3x-2+2,\\x^2+2=3x,\\x^2+2-3x=3x-3x,\\x^2-3x+2=0,\\\\Factored = \left(x-1\right)\left(x-2\right)=0,\\Zero Factor Principle, \\x = 1, x = 2\\\\Solution - Option A[/tex]
* Note that for the the previous problem I solved, I set up a similar equation that had two values for the width, one negative and the other positive. Now the width could only be a positive number, so there was only one solution out of the two.
You have $60 and your sister has $120. You are saving $14 per week and your sister is saving $10 per week. How long will it be before you and your sister have thr same amount of money? What amount would you have the same ?
Answer:
15 weeks
The amount of money is 270
Step-by-step explanation:
You: 60 +14x
Sister: 120+10x
Set them equal to each other
60+14x = 120+10x
Subtract 10x from each side
60+4x= 120
Subtract 60 from each side
4x= 60
Divide by 4
4x/4 = 60/4
x = 15
15 weeks
The amount of money is 120+10*15 = 120+150 = 270
Answer:
15 weeks
$270
Steps:
1: 60+14x=120+10x
2: 4x=60
3: x=15 weeks
4: Amount= 60+14*15= $270
Description:
The first step is to get the money u have that is $60 plus it with the saving u have that is $14 answer will equal as 120+10x as a equation. Now simplify the equation 4x=60. You will get x=15 that will be the weeks. And now get 60+14 times it by 15 answer will equal as $270. So 15 weeks and $270 is the answer.
Please mark brainliest
Hope this helps.
What is the mean of this data set? If necessary, round your answer to the nearest tenth. 11,16,22,28,29,30,31,34,37,38,43,49,56,78,99
Answer:
67 to be at work by the end if your here and we can go to the group and we will be in the office Andy I have to go to work and come back to you and get to you by the end of siliconeyiq and the next day or spiral ham and cheese for the day but will be in a
What is the average rate of change for this exponential function for the
interval from x = 2 to x = 4?
it is two i think. hope i could help
37 POINTS pls help time limit 13 minute left...
Answer:
first 3
Step-by-step explanation:
Answer:
A B C and D are all true not the last one!
Step-by-step explanation:
please help me thankyou lol
Answer:
Yes, they are congruent
Step-by-step explanation:
They are congruent because they both have same length sides
On a coordinate plane, a parabola opens upward. It has a vertex at (0, 0), a focus at (0, 1.5) and a directrix at y = negative 1.5. Which equation represents the parabola shown on the graph? y2 = 1.5x x2 = 1.5y y2 = 6x x2 = 6y
Answer:
d) The equation of the standard parabola
x² = 6 y
Step-by-step explanation:
The given directrix is y= -31.5
The equation of the parabola is of the form x² =4 a y
Given focus (0,1.5) , Here a= 1.5
The equation of the standard parabola
x² = 4 a y
x² = 4 (1.5)y
x² = 6 y
Conclusion:-
The equation of the standard parabola
x² = 6 y
The equation that represents the parabola shown on the graph is x∧2 = 6 y
What is a parabola?
A parabola is known as a plane curve that starts from a point and moves such that its distance from a fixed point is equal to its distance from a fixed line.
The graph shows a vertical parabola opened upwards with the vertex at the origin.
How to determine the equation
The equation of the parabola from the graph is;
x∧2 = 4ay
The equation of the directrix;
y = -a = -1. 5
Thus, the value of a = 1.5
Then, substitute the value of a = 1.5 in the equation deduced from the graph
x∧2 = 4 × (1.5) × y
x∧2 = 6 y
Therefore, the equation that represents the parabola shown on the graph is x∧2 = 6 y
Learn more on parabola here:
https://brainly.com/question/4061870
#SPJ2
If 14x = 6(–4 + x), then x = ?
Answer:
Step-by-step explanation:
Expand first
-24+6x=14x
-6x on both sides
-24=8x
/x on both sides
X=-3
Answer: [tex]x=-3[/tex]
Step-by-step explanation:
You want to apply the distributive property. Or, you could just divide by 6 on both sides. Ill just apply the distributive property:
[tex]14x = -24 +6x[/tex]
Now subtract 6x from both sides to get:
[tex]8x = -24[/tex]
Divide both sides by 8 to get x = -3
use factoring to solve
x^2-2x-35=0
Answer:
I'm sorry I don't have an answer but for all future math work you should download photomath on your phone it's rly good
Answer:
The solution set of the quadratic equation is
x = {7, -5}
Step-by-step explanation:
Given the quadratic equation
[tex]$ x^2 - 2x -35 = 0 $[/tex]
We need to factor this equation
So you need two numbers such that
a + b = -2
and
a×b = -35
How about -7 and 5?
-7 + 5 = -2
-2 = -2
and
-7×5 = -35
-35 = -35
(x - 7)(x + 5) = 0
(x - 7) = 0
x = 7
and
(x + 5) = 0
x = -5
Therefore, the solution set of the quadratic equation is
x = {7, -5}
Verification:
Plug 7 into the quadratic equation
[tex]x^2 - 2x -35 = 0 \\\\(7)^2 - 2(7) -35 = 0 \\\\49 - 14 - 35 = 0 \\\\49 - 49 = 0\\\\0 = 0[/tex]
Plug -5 into the quadratic equation
[tex]x^2 - 2x -35 = 0 \\\\(-5)^2 - 2(-5) -35 = 0 \\\\25 + 10 - 35 = 0 \\\\35 - 35 = 0\\\\0 = 0[/tex]
I need help please! I’m really confused about it
The answer is 1 and 3
The point-slope from of a line that has a slope of -2 and passes through the point (5,-2)
Step-by-step explanation:
y + 2. = -2(x - 5)
y + 2 = -2x + 10.
y = -2x + 8
−4x−6=−5y+2 Write a formula for g(x) in terms of x
Answer:
4/5x + 8/5 = g(x)
Step-by-step explanation:
−4x−6=−5y+2
Solve for y
Subtract 2 from each side
−4x−6-2=−5y+2-2
-4x -8 = -5y
Divide each side by -5
-4x/-5 -8/-5 = -5y/-5
4/5x + 8/5 = y
Replace y with g(x)
4/5x + 8/5 = g(x)
There are 8 sophomores on the academic team. At the last competition, they each took the math test. Their scores were 82%,
92%, 76%, 72%, 92%, 74%, 80%, and 78%. What was the median math score of the sophomores?
79%
82%
87%
92%
Answer:
79%
Step-by-step explanation:
median is the middle no.
arrange the scores in descending order
72,74,76,(78,80),82,92,92
78+80, divide 2= 79%
The value of zlatans house has increased by 7% his house is now valued at £749 000 work out the value of the house before the increase
Answer:
Let x be the value of the house before increase
Since it's increases add 7% to the overall 100%
107/100x = 749000
x = 700000
The value of the house before increase is £700000.
Hope this helps.
The congruency theorem Side-Angle-Side (SAS) proves two triangles are congruent because both triangles have an included angle in between two congruent sides.
True
False
The list shows numbers in order from least to greatest. Negative 34, negative 2 and three-fourths, blank, negative 1.5, 0, 2.3, 10, 25 and one-fifth Which is an integer that can be inserted on the blank line in the list?
Options
-2.5-2[tex]-1\dfrac{9}{10}[/tex]-1Answer:
(B) -2
Step-by-step explanation:
Given the list
[tex]-34.-2\dfrac{3}{4} ,x, -1.5,0,2.3,10,25\dfrac15[/tex]
This list has been arranged in order from the least to the greatest.
We are required to find an Integer that can be inserted on the blank line (I have used x) in the list.
An integer is defined as a positive or negative whole number.
Out of the given options, only -1 and -2 are integers. However:
-1 is greater than -1.5Therefore, it cannot be our result.
The correct answer is -2.
Answer:
-2 i did i what he said then revewied my quiz and it was right
Step-by-step explanation:
R (x) = 3x + 17/ -6x^2 + 39x
Answer:
[tex]\frac{3x+17}{-3x(2x-13)}[/tex]
unless there is more to the question
Step-by-step explanation:
You can't do anything to the top so work with the bottom.
since both terms have an x and are divisible by 3 take out a GCF of -3x
The bottom should be: -3x(2x-13)
You can't simplify any further.
Pls ANSWER LOOK AT THE PHOTO ANSWER ASAP
Answer:
Answer number one, x < 7/12
Answer:
A
Step-by-step explanation:
If you make he denominators equal to each other (in this case 12) the new fractions would be 3/12 and 10/12. Then you would subtract 3/12 from both sides making 7/12 on the right side. The inequality remains facing the same direction, making the answer A or x<7/12.
Can anyone help me. Please
Answer:
how can I help?
Step-by-step explanation:
with what?
Which are linear pairs? Check all that apply.
A. ∠DAE and ∠EAD
B. ∠BAC and ∠CAD
C. ∠BAE and ∠EAD
D. ∠EAD and ∠DAC
E. ∠CAE and ∠BAD
Answer:
Options B, C and D
Step-by-step explanation:
Linear pair of angles means sum of the angles of the pair is 180° which are formed at a point of a line.
In other words, pair of supplementary angles is the linear pair.
From the figure attached,
Pair of the linear angles are,
1). ∠BAC and ∠CAD
2). ∠BAE and ∠EAD
3). ∠EAD and ∠DAC
Therefore, Options B, C and D are correct.
Answer:
B, C, and D
Step-by-step explanation:
what is the sum of a and b?
Answer:
a=13, b=7
Step-by-step explanation:
You can use the exponent rule
[tex]3x^{a-5}y^{9-b}=3x^{8}y^{2}[/tex]
so [tex]x^{a-5}=x^{8}[/tex] so
a-5=8
a=13
[tex]y^{9-b} =y^{2}[/tex] so
9-b=2
b=7
you are emailing your cousin a care package in a box shaped like a cube. Each side of the box is 6 inches long. You mist cover the box with brown wrapping paper in order for the post office to accept it. What is the minimum amount of brown wrapping paper you will need in order to completely cover the box
==========================================================
Work Shown:
x = side length of cube = 6 inches
SA = surface area of cube
SA = 6x^2
SA = 6*6^2
SA = 6*36
SA = 216 square inches
------------
side note: if you have a rectangular box that isn't a cube (ie the length, width, and/or height aren't all the same), then you would use this formula to get the surface area
SA = 2*(L*W+L*H+W*H)
where L,W,H are the length, width and height respectively.
2 prime factorization of 44
Answer:
2*2*11
Step-by-step explanation:
44 = 4*11
But 4 isn't prime
= 2*2*11
All of these are prime
Una escalera está apoyada sobre una pared a 4,33 m de altura y forma con el piso un ángulo de 60°. a) Calcula el largo de la escalera. b) Si el punto B correspondiera a (5,0) y el punto a correspondiera a (0,7). Halla la ecuación de la recta que pasa por los dos puntos, es decir la escalera.
Answer:
a) 5,00 m
b) y = - (7/5)x + 7
Step-by-step explanation:
The stairs and the wall forms a rectangle triangle. The wall is the opposite side respect to the angle which stairs forms with ground (I attached an image below of the situation).
a) To find the length of stairs you use the following trigonometric relation:
[tex]sin\theta=\frac{h}{l_s}[/tex] (1)
h: height in which the stairs touch the wall = 4,33 m
ls: length of the stairs
θ: angle between ground and stairs = 60°
You solve the equation (1) for ls:
[tex]l_s=\frac{h}{sin\theta}=\frac{4,33m}{sin60\°}=4,99m\approx5,00m[/tex]
b) The line equation is given by:
[tex]y-y_o=m(x-x_o)[/tex] (2)
Firs, you calculate the slope by using the equation (2):
[tex]m=\frac{0-7}{5-0}=-\frac{7}{5}[/tex]
Next, you use one of the point, say B, an you replace this points for yo and xo:
[tex]y-0=-\frac{7}{5}(x-5)\\\\y=-\frac{7}{5}x+7[/tex]
Round 76m to 1 significant figure
Find the value of this expression if X=-7
Answer:
-9
Step-by-step explanation:
[tex](-7)^{2}[/tex] = 49
when you have a negative number to any power make sure you plug it in correctly into the calculator.
[tex]\frac{49+5}{-7+1}[/tex] = [tex]\frac{54}{-6}[/tex]
54÷-6= -9
I hope this helps
Answer:
[tex]-9[/tex]
Step-by-step explanation:
[tex]\frac{x^2+5}{x+1}[/tex]
If [tex]x=-7[/tex] then:
[tex]\frac{-7^2+5}{-7+1} =\\\\\frac{49+5}{-6} =\\\\\frac{54}{-6} =\\\\-9[/tex]
The expression equals [tex]-9[/tex] if [tex]x=-7[/tex]
A=-2[[-6,4],[3,7],[12,10]] B=3[[-2,2,8],[8,5,6]]and D=-1[[-12,8],[6,14],[24,20]] are equal matrices ANSWERS a nd b are equal b and c are equal c and d are equal d and a are equal
Answer:
D and A are equalStep-by-step explanation:
Two matrices A and B are said to be equal if both matrices have the same number of rows and columns. Given the following matrices
[tex]A = -2\left[\begin{array}{ccc}-6&4\\3&7\\12&10\end{array}\right] \\multiplying\ the \ matrix\ through\ by\ -2\ will\ give\\A = \left[\begin{array}{ccc}12&-8\\-6&-14\\-24&-20\end{array}\right] \\\\\\B =3 \left[\begin{array}{ccc}-2&2&8\\8&5&6\end{array}\right] \\B = \left[\begin{array}{ccc}-6&6&24\\24&15&18\end{array}\right] \\\\\\D = \left[\begin{array}{ccc}12&-8\\-6&-14\\-24&-20\end{array}\right][/tex]
From the above matrices, it can be seen that matrix A and C both has 3 rows and 2 columns each which matrix b has 2 rows and 3 columns.
Based on the conclusion, it can be seen that matrices A and D are equal since they have the same number of rows and columns
Factorize x squared - 1x +10 =0
Answer:
no solution exists:
Step-by-step explanation:
x²−1x+10=0
Step 1: Simplify both sides of the equation.
x²−x+10=0
Step 2: Subtract 10 from both sides.
x²−x+10−10=0−10
x²−x=−10
Step 3: The coefficient of -x is -1. Let b=-1.
Then we need to add (b/2)^2=1/4 to both sides to complete the square.
Add 1/4 to both sides.
x²−x+ 1/4=−10+ 1/4
x²−x+ 1/4=−39 /4
Step 4: Factor left side.
(x -1/2)² = −39 /4
Step 5: Take square root.
x −1 /2 =±√ −39 /4
Step 6: Add 1/2 to both sides.
x =−1/2 + 1/2 = 1/2 ±√ -39/4
x = 1/2 ±√ -39/4
No real solutions.
find the value of each trigonometric ratio part 3
Answer:
hope this helps you
The probability of an event is 1. What do you know about the event?
The probability of another event is 0.
What do you know about this event?
Answer: A probability of 1 means the event is certain to happen. A probably of zero means the event is certain not to happen.
Answer:
uhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh sorry needed points
Getaway Travel Agency surveyed a random sample of 454545 of their clients about their vacation plans. Of the clients surveyed, 212121 expected that they would go on 333 vacations in the next year. There are 516516516 Getaway Travel Agency clients.
Based on the data, what is the most reasonable estimate for the number of Getaway Travel Agency clients who expect to go on 333 vacations in the next year?
Answer:
The most reasonable estimate for the number of Getaway Travel Agency clients who expect to go on 3 vacations in the next year is 241.
Step-by-step explanation:
The best estimate for the proportion of clients who expect to go on 3 vacations is the same proportion of the sample.
Sample:
45 clients.
Of those, 21 expected to go on 3 vacations in the next year.
21/45 = 0.4667
Out of the 516 clients:
0.4667*516 = 240.8
Rounding up
The most reasonable estimate for the number of Getaway Travel Agency clients who expect to go on 3 vacations in the next year is 241.