The direction of f(x) = 4x² + 10x + 12 is in upward direction.
y intercept of the f(x) is (0,, 12).
And number of zeros in f(x) is 2, at x = -5/4 + (√23 / 4)i and -5/4 - (√23 / 4)i.
What is function?
Function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.
The given function is,
f(x) = 4x² + 10x + 12.
The coefficient of x² is 4 which is positive, therefore, the graph is in the upward direction.
To find y intercept of the function,
Substitute x = 0, in the function,
f(x) = y = 4 (0)² + 10 (0) + 12
y = 12
The y intercept of the function is (0, 12).
To find the number of zeros, Substitute f(x) = 0,
Implies that,
4x² + 10x + 12 = 0
The values of x for the given quadratic equation are,
x =-5/4 + (√23 / 4)i and x =-5/4 - (√23 / 4)i
The number of zeros is two at -5/4 + (√23 / 4)i and -5/4 - (√23 / 4)i.
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plz help me its do today
Answer:
equation= y=4x+6 slope= 4 yint= 6
Step-by-step explanation:
use y2-y1/x1/x2 then look where the zero is on the table. hope this helped.
Jose spent $ 2.00 for 20 pieces gum and joe spent $1.50 for 10 pieces of gum who go the better deal ?
Answer:
jose
Step-by-step explanation:
2.00 ÷ 20 = 10 c
1.50 ÷ 10 = 15 c
Answer:
joe 's is better
Step-by-step explanation:
may be iam not sure
best of luck
Quadrilateral ABCD is shown. Two students each perform a different reflection on the original figure.
Use the drop-down menus to give the coordinates of point B' after each reflection.
Answer:
Pauline reflected the original figure over the x-axis:
The coordinates of point B will be (4,3)
Carl reflected the original figure over the y-axis:
The coordinate of points B will be (-4,-3)
When Pauline reflect the original figure over the x-axis, the coordinate of point B' will be (-2, -4). When Carl reflect the original figure over the y-axis, the coordinate of point B' will be (2, 4).
What is a reflection?A reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.
In Mathematics, a reflection over the x-axis is given by this transformation rule:
(x, y) → (x, -y)
Point B = (4, -3) → Point B' = (4, 3)
In Geometry, a reflection over the y-axis of a graph is given by this transformation rule (x, y) → (-x, y). This ultimately implies that, the coordinates of point B' after a reflection over the y-axis is as follows:
Point B = (4, -3) → Point B' = (-4, -3)
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g(x) = 5x - 12. What is g(8)?
Your answer
Answer:
28
Step-by-step explanation:
Replace x for 8 in the equation and solve it normally
What is DCB? (eeeeee)
Answer:
53 degrees
Step-by-step explanation:
ACB seems to be a right angle so since ACD is 37 degrees:
DCB+37=90
DCB=53
Answer:53 degrees
Step-by-step explanation:
90-37= 53
Please help asap! Due tonight!
Answer:
A, [tex]\sqrt{17}[/tex]
Step-by-step explanation:
a^2 + b^2 = c^2
8^2 + b^2 = 9^2
64 + b^2 = 81
b^2 = 17
b = [tex]\sqrt{17}[/tex]
Answer:
by pythagoras theorem
9² = 8² + x²
x² = 81 - 64
x² = 17
x = root 17
option A
Can u pls find the center of dilation for this point!!
Answer:
Q² (R³,S)
Step-by-step explanation:
En la biblioteca hay 400 libros. Si el 25% son de matemáticas. Cuantos libros de matemáticas hay?
Answer:
100.
Step-by-step explanation:
25%*400
=100
¡Espero que esto haya ayudado!
Andy is designing a dice tray in the shape of a rectangular prism to use during a role-playing game. The tray needs to be three centimeters high and have a volume of 252 cubic centimeters in order for the dice to roll properly. The length of the tray should be five centimeters longer than its width. The volume of a rectangular prism is found using the formula V = l · w · h, where l is the length, w is the width, and h is the height. Complete the equation that models the volume of the tray in terms of its width, x, in centimeters.
Answer:
Andy is designing a dice tray in the shape of a rectangular prism to use during a role-playing game. The tray needs to be three centimeters high and have a volume of 252 cubic centimeters in order for the dice to roll properly. The length of the tray should be five centimeters longer than its width.
The volume of a rectangular prism is found using the formula V = l · w · h, where l is the length, w is the width, and h is the height.
Complete the equation that models the volume of the tray in terms of its width, x, in centimeters.
3x2 + 15x = 252
Is it possible for the width of the tray to be 7.5 centimeters?
no it is too large
Step-by-step explanation:
An equation is formed when two equal expressions. The equation that models the volume of the tray in terms of its width, x, in centimeters is 3x² + 15x - 252 = 0.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the width of the rectangular prism die be represented by x.
Given that the length of the tray should be five centimeters longer than its width. Therefore, the length and the width of the prism can be written as,
Width = x
Length = x + 5
Further, it is given that the volume of die is 252 cubic centimeters in order for the dice to roll properly. Also, the height of the prism is 3 centimeters. Therefore, the Volume can be written as,
Volume = Length × Width × Height
252 = (x + 5) × x × 3
252 = 3x(x+5)
252 = 3x² + 15x
3x² + 15x - 252 = 0
Hence, the equation that models the volume of the tray in terms of its width, x, in centimeters is 3x² + 15x - 252 = 0.
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The school is having a dance as a fundraiser. Tickets cost $. Each
Answer:
How are we supposed to know .???
we can only see half of the problem
Step-by-step explanation:
3/7 of the students in a school are girls. If there are 64 boys find how many girls there are
Answer:
About 28
Step-by-step explanation:
Answer:90
Step-by-step explanation:Hi.
Here is your answer---
Let the number of Students in a school be x.
Thus,Number of Girls = 3/7 of the total Students
= 3/7 of x
= 3x/7
We know,
Number of Boys + Number of Girls = Total Students.
64 + 3x/7 = x
64 = x - 3x/7
64 = (7x - 3x) /7 [Taking L.C.M.]
64 × 7 = 4x
x = 60 × 7
x = 420
Total number of Students in a school is 420.
Thus, Number of Girls = 3/7 × x
= 3/7 × 420
= 90
Thus, the number of Girls in a school is 90.
______________________
Hope it helps.
Have a nice day.
What is an equation of the line that passes through the points (4, -2) and (8,3)?
2.5
Read the Math Notes box for this lesson, which
describes how to find the area and perimeter of a
shape. Then examine the rectangle at right. If the
perimeter of this shape is 120 cm, which equation
below represents this fact? Once you have selected
the appropriale equation, solve for c.
2.1 + 5 + 61-1= 120
4(
6-1-20
2(6x-1)+220+5)= 120
d.
(2x + 56.X-1 = 120
Find full question attached
Answer and explanation:
The perimeter of a rectangle is the sum of all the sides of the rectangle.
From the question(attachment) we can see the length and width of the rectangle given. Therefore, to find the perimeter of the rectangle we add up the length(2 sides) and the width(2 sides).
The width = 6x +1
The length = 2x-5
Therefore the equation of the perimeter 120 :
6x-1+6x-1+2x+5+2x+5 =120
Also same thing as
2(6x-1)+2(2x+5)=120
Hence, correct option is C
As ____ increases, ___ tends to increase/decrease
Answer:
what is the context? i dont understand what is increasing/ decreasing pls elaborate more!!
Step-by-step explanation:
Please explain in detail with a proper answer.
A pair of dice is rolled. If you know one of the dies shows a 5, what is the probabiility that the sum is 8.
Answer:
5/36
Step-by-step explanation:
So a pair of dice is rolled. 2 dices. A dice has 6 numbers (1,2,3,4,5,6).
Now draw a sample space.
1 2 3 4 5 6
1 2 3 4 5 6 7
2 3 4 5 6 7 8
3 4 5 6 7 8 9
4 5 6 7 8 9 10
5 6 7 8 9 10 11
6 7 8 9 10 11 12
It's asking for SUM, so we plus. Thats why you see this.
So look for all the 8's in the sample space. Theres one in (6,2), (5,3), (4,4), (3,5) and (2,6). Thats 5. We divide that with the total. The total is 36 because there are 36 possible values. so 5/36
Compute the variances in dollar amount and in percentage. (Round to the nearest whole percent.) Indicate whether the variance is favorable (F) or unfavorable (U). Budgeted Amount - Expense $255.00 Actual Amount $225.00
Answer:
Variance is the difference between a Budgeted Amount and the Actual Amount. In terms of expenses, if the Budgeted amount is more than the Actual amount, the variance is Favorable because less was spent than was supposed to be spent.
The reverse is true.
Variance = Budgeted Amount - Actual amount
= 255 - 225
= $30
Percentage = Variance / Budgeted amount
= 30/255
= 11.76%
The variance is FAVORABLE because the actual amount was less than the budgeted amount.
If b(x) = negative2(xminus50), what is the value of b(20)?
Answer:
b(20) = 60
Step-by-step explanation:
Here, given that ;
b(x) = -2(x-50)
we want to find the value of b(20)
what we need to do is to simply substitute x for 20
That will be:
b(20) = -2(20-50)
b(20) = -2(-30)
b(20) = 60
Please answer if you actually know
√24b^3 • √40b^2 • b^2
Thank you
Answer:
[tex](8\sqrt{15}).b^{\frac{9}{2} }[/tex]
Step-by-step explanation:
[tex]\sqrt{24b^{3} } . \sqrt{40b^{2} } .b^{2} = (\sqrt{24})b^{\frac{3}{2} } . (\sqrt{40})b. b^{2} \\\\= (\sqrt{24.40}).b^{\frac{3}{2} + 1 +2} \\\\= \sqrt{960} .b^{\frac{9}{2} } \\\\= 8\sqrt{15}.b^{\frac{9}{2} }[/tex]
Answer:
8b^3\sqrt[15b]
Step-by-step explanation:
I did it on Khan Academy
Solve the equation for y.
3x + jy= 7
Answer:
[tex]y=\frac{7-3x}{j}[/tex]
Step-by-step explanation:
First, subtract 3x. This leaves you with jy=7-3x. Then, divide by j, leaving you with [tex]y=\frac{7-3x}{j}[/tex] .
can someone help me really quickly and have a explainton for as well
[tex] |c + 4| = 6[/tex]
Annabella Works in a deli and has been tracking the daily sales of different items over several months Annabelle found that when there was an increase in the number of cups of hot chocolate sold the number of cups of coffee sold also increased similarly where there was a decrease in the number of cups of hot chocolate sold the number of cups of coffee also decrease which of the following is a valid conclusion
Answer:
The increase in the sale of hot chocolate is correlated to, but not caused by, the sale of coffee.
Step-by-step explanation:
For Plato
Find the slope of the sides of the given quadrilateral from following figures.
Answer:
side DA = side CB = slope is Undefined
side DC = side AB = slope is 0
Step-by-step explanation:
To find the slope we use the following
m = [tex]\frac{(y2 - y1)}{(x2 - x1)}[/tex]
The slope for side DA is the same as side CB; also their value for x value will be the same on the line; leaving the bottom of the slope equation at 0.
That means that side DA = side CB = slope Undefined
The slope for side DC is the same as side AB; also their value for y value will be the same on the line; leaving the top of the slope equation at 0.
That means that side DC = side AB = slope 0
On the number line, Point B is between points A and C . The distance between points A and B is 1/3 of AC. What is AB?
I think the answer is b
I think the answer is b
I think the answer is b
I think the answer is b
Given that R = 4 x + 9 y Find x when y = 1 and R = 1
Answer:
x=-2
Step-by-step explanation:
R=1
Y=1
So the equation is
4x+9=1
4x=1-9
4x=-8
x=-8/4
x=-2
Answer:
x=-2
Step-by-step explanation:
R=1
Y=1
So the equation is
4x+9=1
4x=1-9
4x=-8
x=-8/4
x=-2
If y = -30 when x = 15, what is the value of x when y = 60?
Answer:
If y = -30 when x = 15
then x = 60 when y = 60
Enter the number in scientific notation.
4,800,000,000,000 =
x10
Answer:
4.8 x 10^12
Step-by-step explanation:
Move the decimal to the second space so:
4.800000000000
Then count how many spaces the decimal moved so:
12
Then get rid of the 0s and add the x 10^12 so: 4.8 x 10^12.
Step-by-step explanation:
4,800,000,000,000 = 4.8 x 10^12
This is a conversion to standard form question. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
1. Which of the following lines is parallel to the line y = -3/2x +1 and contains the point (4,2)?
Answer:
The answer should be y = -[tex]\frac{3}{2}[/tex][tex]x[/tex] + 8, but its not one of the answers, so check the question again.
Step-by-step explanation:
If the second line is parallel, then the gradient will be the same:
y = -[tex]\frac{3}{2}[/tex][tex]x[/tex] + c
Find what c is (y-intercept) by inputting the given point into the equation (4,2):
2 = (-[tex]\frac{3}{2}[/tex] x 4) + c
2 = -6 + c
c = 8
1. Explain why the sine law cannot be used to find the length of the third side of a triangle when
the known angle is contained between the two known sides
Answer:
The law of Sines is used to determine a missing side or angle measurement
Step-by-step explanation:
When saying Sine Law, I am pretty sure you mean the Law of Sines.
This is the equation
a/sine a = b/sine b
To use the Law of Sines you need 2 angle measurements and 1 side length, or 2 side lengths and 1 angle measurements. Law of Sines is used to find the missing angle or side. Not to find the third side.
To find the length of the third side you would use pythagorean theorem.
the ratio of the length of a rectangle to its width 3:2. Give 3 possible dimensions of the rectangle in cm
Answer:
1.) 3:2 → length = 3cm ; width = 2cm
2.) 6:4 → length = 6cm ; width = 4cm
3.) 9:6 → length = 9cm ; width = 6cm
Step-by-step explanation:
The ratio 3:2 is length:width. This means that if you were to simplify the values by a common factor, the result would always be [tex]\frac{3}{2} = \frac{length}{width}[/tex].
To find three dimensions, pick any random three numbers and multiply one by one to both numerator and denominator:
[tex]1,2,3\\\\\frac{3}{2}(\frac{1}{1} )= \frac{3}{2} \\\\\frac{3}{2} (\frac{2}{2} )=\frac{6}{4}\\\\\frac{3}{2} (\frac{3}{3} )=\frac{9}{6}[/tex]
Convert the given ratios to length and width:
1.) 3:2 → length = 3cm ; width = 2cm
2.) 6:4 → length = 6cm ; width = 4cm
3.) 9:6 → length = 9cm ; width = 6cm
If you were to simplify each, the result would be 3:2.
:Done
the distance between two towns is 300 km two cars start simultaneously from this towns and move towards each other the speed of one car is more than the other by 7 km per hour if the distance between the cars after 2 hours is 34 kilometre find the speed of the cars
Answer: I think its 131.19, but not too sure.
Step-by-step explanation:
To find the speed, you would do distance/time, so I added 300 and 7. I got 307, then I divided 307 (distance) from 2.34 (time). I got 131.19
Do you want the speed of both cars? then the answer would be:
(300)- first car= 128.20
(307)- second car= 131.19 (if you need to round this answer, it would be 131.2)