Answer:
f(x) = -3(x+3)(x-1)
Step-by-step explanation:
x = -3 & 1; f(x) = 9
f(x) = a(x-r1)(x-r2)
f(0) = a(x-r1)(x-r2) = 9; 9 = a(0-(-3))(0-1)
9 = a(3)(-1); 9 = a(-3)
a = -3
f(x) = -3(x+3)(x-1)
Answer:
f(x) = -3x^2 - 6x + 9.
Step-by-step explanation:
As the x intercepts are - 3 and 1 we can write it as:
f(x) = a(x - 1)(x + 3) where a is a constant to be found.
As the - intercept is at (0, 9), x =0 when f(x) = 9 so we can also write:
a( 0 - 1)(0 + 3) = 9
(-1)(3)a = 9
a = 9 / -3
= -3.
So the equation is f(x) = -3(x - 1)(x + 3)
In expanded form it is
-3(x^2 + 2x - 3)
= -3x^2 - 6x + 9.
The width, w, of a rectangular rug is 4 less than its length, L . If the perimeter of the rug is 120 square feet, which equation could be used to find the dimensions of the rug?
a. L(4-L) = 120
b. L(L-4) = 120
c. 2(L-4) + 2L = 120
d. 2(4-L) + 2L = 120
Helpp please and thank u :')
Answer:
b
Step-by-step explanation:
Select the correct answer.
The variable b varies directly as the square root of c. If b= 100 when c = 4, which equation can be used to find other combinations of band c?
Step-by-step explanation:
b varies as √c
b=kc
divide both side by c
k=b/c
k=100/4
k=25
the equation is:
25=b/c
suppose you roll to standard number cubes. let event a be rolling a 4 on the first die and let event b be rolling a 3 on the second die. are a and b independent events? are a and b mutually exclusive events. explain.
Answer:
The events are independent and are not mutually exclusive.
Step-by-step explanation:
Two events A and B are independent if the outcome of each of them does not affect the outcome of the other.
And two events are mutually exclusive if these can't occur at the same time.
Here the events are:
a = rolling a 4 on the first die
b = rolling a 3 on the second die.
Becuase, these are number cubes, we know that the outcome of one die has no impact in the outcome of the other die.
And because each outcome is on a different die, we can conclude that these events are independent.
(rolling a 4 in the first die does not change the probability of getting a 3 when we roll the second die).
Now, the events are mutually exclusive?
No, we can roll both dices and get a 3 in the first one and a 4 in the second one, so these events can happen in the same time.
Answer:
YES.
Step-by-step explanation:
The event rolling a number '4' and the event rolling a number '3' are mutually exclusive events because both of them cannot occur at the same time.
Just took quick check
Find the lettered angles in each of the following.
( where a point o is given , it is the centre of the circle) .
t=46°
u=134°
v=23°
w=23°
Answer:
Solution given;
v=w [base angle of triangle]
<SPQ+<SRQ=180°[sum of opposite angle of a cyclic quadrilateral is 180°]
81+v+53+w=180°
134°+v+v=180°
2v=180°-134°
v=46/2
v=23°
w=v=23°
In triangle ∆ PQR
v+w+u=180°[sum of interior angle of a triangle]
23+23+u=180°
u=180°-46°
u=134°
again
In triangle ∆ PSR
t+81+53=180°
t=180°-134°
t=46°
Answer:
t and u are supplementary as opposite angles of a cyclic quadrilateral.
t = 180 - (81 + 53) = 46u = 180 - t = 180 - 46 = 134v and w are equal as opposite angles to equal sides.
v = w = 1/2(180 - u) = 1/2(180 - 134) = 23the slope of a line is 2. the y-intercept of the line is -6. which statements accurately describe how to graph the function
If R ={(a,1),(b,2)} then which one is the inverse of the relation R?
Answer:
R’ = {(1,a) , (2,b)}
Step-by-step explanation:
For us to get the inverse, we switch the places of the x and y variables
The x variable goes to the place of the y variable and the y variable goes to the place of the x variable
we have this as;
R’ = {(1,a) , (2,b)}
can someone please solve 3x^2+4x-7<13
Answer:
-10/3 < x < 2
so the answer is x<-10/3 or x>2
Step-by-step explanation:
:)
What number is halfway between -0.5 and 2.3
Answer:
0.9
Step-by-step explanation:
In order to get halfway between -0.5 and 2.3, first, we need to take their sum:
Sum of digits
Sum = [tex]{-0.5+2.3}[/tex]
Sum = [tex]1.8[/tex]
Take the average of the sum
Average = [tex]\frac{1.8}{2} = 0.9[/tex]
Hence the halfway between the numbers is 0.9
The coordinates of three vertices of a parallelogram are (2, 3), (6, 3) and (4, 7). What are the coordinates of the fourth vertex?
The correct option is B)
Let the fourth vertex D =(x,y)
We know that the diagonals of a parallelogram bisect each other. So, the.
What is the midpoint?The midpoint of AC is the same as the midpoint of BD.
Midpoint of two points (x 1 ,y 1 ) and (x 2,y 2) is calculated by the formula ( 2x 1+x 2, 2y 1+y2 )
So, the midpoint of AC= Midpoint of BD
=>( 2−2+8, 23+3)=( 26+x, 27+y
=>( 6, 26)=( 26+x, 27+y)
=>6+x=6;7+y=6
=>x=0;y=−1
Hence, D=(0,−1)
Solve any question of Coordinate Geometry with.
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Divide Rs 84 in 1:2 ratio
Answer:
Rs . 28 and Rs.56
Step-by-step explanation:
Explaination in figure
Please mark me as brainliest
Please help me :)))!!!!!!
Answer:
16 × X + 3=
Step-by-step explanation:
u will get your answer
Solve: -15/2 + 5y divided by 5/2
Answer:
- 3 + 2y
Step-by-step explanation:
[tex]\frac{-\frac{15}{2} +5y}{\frac{5}{2} }[/tex]
[tex]\frac{2}{5}( -\frac{15}{2} +5y} )[/tex]
[tex]-3+2y[/tex]
Step-by-step explanation:
Division by a fraction such as 5/2 is equivalent to multiplication by the reciprocal of the fraction (2/5).
Multiplying (-15/2 + 5y) by 2/5 yields:
-3 + 2y (answer)
teresa repartee un chocolate entre sus hermanos. ella le dio 1/3 a miguel y 1/4 a diego. que parte de chocolate repartido teresa?
Answer:
Teresa tiene 1 chocolate.
Ella le da 1/3 del chocolate a Miguel, entonces ahora Teresa tendrá un chocolate menos un tercio de chocolate, es decir, ella tiene:
1 - 1/3 = 3/3 - 1/3 = 2/3 de un chocolate.
Ahora le da 1/4 a diego, entonces lo que le sobra va a ser:
2/3 - 1/4
recordar que tenemos que tener el mismo denominador en ambas fracciones, entonces podemos reescribir esto como:
(4/4)*(2/3) - (3/3)*(1/4)
(a cada fracción la multiplico y divido por el denominador de la otra)
8/12 - 3/12 = (8 - 3)/12 = 5/12
Es decir, Teresa finalmente tiene 5/12 del chocolate.
Entonces la parte de chocolate que repartió es lo que le falta, que se obtiene como:
1 - 5/12 = 12/12 - 5/12 = 7/12
Ella repartió 7/12 de su chocolate.
La fracción de chocolate que repartió Teresa es 7/12
How to add two fractions?Let we have to add two fractions as:
[tex]\dfrac{a_1}{b_1} + \dfrac{a_2}{b_2}[/tex]
Then we will find Lowest Common Multiple (LCM) of [tex]b_1[/tex] and [tex]b_2[/tex]
That will help to make the denominators same.
Once the denominators become same, the numerators can add up directly, giving us the final result of addition.
For this case, we're provided that:
Teresa gave 1/3th of the chocolate to MiguelTeresa gave 1/4th of the chocolate to Diego.So, the total part she gave is addition of those fractions.
Total part of chocolate Teresa gave = 1/3 + 1/4
LCM of 3 and 4 is 12 since 12 is the smallest number whose factors are 3 and 4 both(this is what LCM of two numbers denote).
Converting each fraction such that it has denominator 12, we get;
[tex]\dfrac{1}{3} \times\dfrac{4}{4} = \dfrac{4}{12}\\\\\dfrac{1}{4} \times\dfrac{3}{3} = \dfrac{3}{12}\\[/tex]
And their addition is:
[tex]\dfrac{1}{3} + \dfrac{1}{4} = \dfrac{4}{12} + \dfrac{3}{12} = \dfrac{7}{12}[/tex]
Thus, the portion of the chocolate that Teresa distributed is 7/12.
Learn more about fraction addition here:
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Please help me find the length of the line!
Answer:
The length of the segment is 10.
Step-by-step explanation:
Think of the segment as the hypotenuse of a right triangle.
Draw the legs and label the lengths.
See the picture below.
The length of the hypotenuse is c.
c^2 = a^2 + b^2
c^2 = 6^2 + 8^2
c^2 = 36 + 64
c^2 = 100
c = 10
Answer: 10
the market price of an article is 150000 it is sold while going to 15% discount and made by profit 1500 find the cost price of motorcycle
Answer:
126,000
Step-by-step explanation:
150,000 * .15 = 22,500
150,000 - 22,500= 127,000
127,000 - 1500 = 126,000
HELP ASAP!!!
THANK YOU!!!!
Answer:
V = 56 cm^3
Step-by-step explanation:
Volume is given by
V = l*w*h where l is length w is width and h is height
V = 7*4*2
V = 56 cm^3
Answer:56
Step-by-step explanation:
The formula for a rectangular prism is V=whl
V=(7)(4)(2)
7 times 4 is 28
28 times 2 is 56
x + a = 10 . Find the vale of x if a = 10.
Answer:
x = 0
Step-by-step explanation:
a = 10
=> x + a = 10
=> x + 10 = 10
=> x = 10 - 10
=> x = 0
The measure of an angle is 112.7º. What is the measure of its supplementary angle?
Answer:
67.3
Step-by-step explanation:
Let x = unknown angle
Supplementary angles add up to equal 180
Hence 112.7 + x = 180
Solve for x
112.7 + x = 180
Subtract 112.7 from both sides
x = 67.3
An angle supplementary to an angle with a measure of 112.7 degrees has a measure of 67.3
There were 234 beads in each bag Lisa bought 3 bags of beads and have 87 beads away how many beads did she have left
help me friends write in copy
20 pts so don't spam
Answer:
ii
Step-by-step explanation:
from what you've written in the comments I think this question requires you to find the equation that can be expressed in two variables,so the best way to do this is to solve the pairs as simultaneous equations and see the ones that will give you two answers x and y
if you solve the first pair you will have
x + y = 5
2x+2y=10
2(x + y =5)
1(2x+2y=10)
2x+2y=10
2x+2y=10--
now from this you will see that it cannot be expressed as two variables because the answer is just zero..
for the second equation it can be expressed as two variables
x - y = 8
3x-3y =16
3(x-y =8)
1(x-3y=16)
3x-3y=24
x - 3y=16
2x/2=8/2
x=4
x-y=8
4-y=8
-y=8-4
-y/-1=4/-1
y=-4...
so you see it can be expressed as two variables..
if you solve the third one it will also give you an answer which is zero so it can't be expressed as two variables.
and the fourth one also cannot.
I hope this helps and if you don't understand feel free to ask..and sorry if it's wrong
Given the slope of y+2=3(x-7) and a point on the line
Hi there!
»»————- ★ ————-««
I believe your answer is:
m = 3
(7, -2)
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
The equation given is in point-slope form.
⸻⸻⸻⸻
[tex]y - y_1 = m(x-x_1)\\\\m-\text{slope}\\\\(x_1,y_1)-\text{point}[/tex]
⸻⸻⸻⸻
The '3' is in the 'm' spot.
The y value is '-2', (y -(-2)) and the 'x' value is 7.
The point of the line is (7, -2) and the slope is 3.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Write the slope-intercept form of the equation of the line described. Through (-1,-1) parallel to y=6x-2
Answer:
[tex]\boxed {\boxed {\sf y= 6x+5}}[/tex]
Step-by-step explanation:
We are asked to find the slope-intercept equation of a line. Slope-intercept form is one way to write the equation of a line. It is:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
We are given a point (-1, -1) and the line is parallel to the line y= 6x-2. Since the line is parallel to the other line, they have the same slope, which is 6. We have a point and a slope, so we should use the point-slope formula to find the equation of the line.
[tex]y-y_1= m (x-x_1)[/tex]
Here, m is the slope and (x₁, y₁) is the point. We know the slope is 6 and the point is (-1, -1). Therefore:
m= 6x₁= -1y₁= -1Substitute the values into the formula.
[tex]y- -1 = 6(x- -1) \\y+1= 6(x+1)[/tex]
Distribute the 6. Multiply each value inside the parentheses by 6.
[tex]y+1 = (6*x)+ (6*1) \\y+1= 6x+6[/tex]
Slope-intercept form requires y to be isolated. 1 is being added to y. The inverse of addition is subtraction. Subtract 1 from both sides.
[tex]y+1-1=6x+6-1 \\y= 6x+5[/tex]
The equation of the line in slope-intercept form is y=6x+5
125 = a 5 ise a kaçtır? A3 B) 4 C) 5 D) 25
Answer:
D
Step-by-step explanation:
25×5=125
I hope it helps
Given the box plot, will the mean or the median provide a better description of the center?
*box plot with min at 10.5, Q1 at 11.5, median at 12.5, Q3 at 13.5, max at 15*
Answer:
A- The mean, because the data distribution is symmetrical
Step-by-step explanation:
When the number of values to the left and left of a distribution are almost or the same, such that the peak of the distribution is at the centre and the tail are spread out at both sides, then we say we have a symmetrical distribution. For, symmetrical data, the mean is the best measure of centre. However, for non - symmetrical distributions (skewed) the median is usually taken as the measure of centre of the data. However, since the distribution Given above, is almost symmetrical, then the mean sglhoukdnbe the preferred measure of centre.
What is -4 square root of 12 + the square root of 75 in simplest radical form?
Please help me with this question please help me rn
Answer:
Check the explanation for the answer please. Thank you!
Step-by-step explanation:
a. Nina is correct, because the formula P = 2l + 2w would be a correct perimeter formula. Alexander, however, is wrong, because the formula P = 2(l + w) would be an incorrect perimeter formula.
b. P = L + L + W + W would be another correct perimeter formula, as it is the same thing to P = 2l + 2w.
c. One reason the paint was empty after their calculations were correct would be because of their argument before determining the perimeter amount of paint that they need. Another reason the paint was empty after their calculations were correct was because of the fact that they probably don't know how to perfectly do the paint within the perimeter. [I might be wrong about this, but it should be an opinion question anyway.] DO NOT WRITE/TYPE THE PARENTHESIS INTO THIS PROBLEM!!!
Hope this helped!
I NEEDDDDD HELPPPP PLEASEEEEEE!!!!!!!!
Answer:
sin C = 12/13
Step-by-step explanation:
Since this is a right triangle
Sin C = opp side / hypotenuse
sin C = 36/39
sin C = 12/13
what is 1*24 equals to
1*24= 24....
when any number is multiplied by one it gines the same no. for eg 241526×1=241526..
doesn't matter how greayer or smaller the number is....
In how many ways can a
television programming director
schedule six different
commercials in the six time slots
allocated to commercials during a
1-hour program?
n!
Note: „P,
(n-r)!
Please HELP ME!!!!!!
Answer:
720
Step-by-step explanation:
Using the equation given
[tex]\frac{6!}{(6-6)!}=\frac{6!}{0!}=\frac{6!}{1}=720[/tex]
What is the height, x, of the equilateral triangle shown?
Answer:
B
Step-by-step explanation:
- Divide the base by 2
10 / 2 = 5 in
- multiply by √3
5√3 in
