The equation of the function is Y=4x+5.Find the value of y when
x=3
x=-2
The equation of the function is y = 4x + 5. Find the value of y when
x = 3
x = -2
Answer:-Given:-y = 4x + 5 [Equation]
To Find:-The value of y when x = 3 , x = -2
Solution:-y = 4x + 5 [Given equation]
[tex] \therefore [/tex] When x = 3 ,
y = 4 × 3 + 5 [Value of x is 3]
y = 12 + 5
y = 17 [Answer]Again, when x = -2 ,
y = 4 × (-2) + 5 [Value of x is -2]
y = -8 + 5
y = -3 [Answer]for brainiest in 2 minutes
Answer:
$24 is the selling price NOT INCLUDING TAX (if they want you to add tax)
Which statement explains the difference between the graphs of f(x) = 4x^2 and g(x) = -8x^2 ?
A) The graph of g(x) is obtained by flipping f(x) over the y-axis and stretching vertically by a factor of 2.
B) The graph of g(x) is obtained by flipping f(x) over the x-axis and compressing vertically by a factor of 2.
C) The graph of g(x) is obtained by flipping f(x) over the x-axis and stretching vertically by a factor of 2.
D) The graph of f(x) is obtained by flipping g(x) over the y-axis and compressing vertically by a factor of 2.
Answer:
I think C is best explains
The correct option is B.
The graph of g(x) is obtained by flipping f(x) over the x-axis and compressing vertically by a factor of 2.
What is transformation?Transformation means to change. Hence, a geometric transformation would mean to make some changes in any given geometric shape.
Given are two functions f(x) = 4x² and g(x) = -8x², we need to see the transformation done in the function f(x) to give g(x).
So,
We can see that there is scale factor of 2, because it was 4 in f(x) and in g(x) it became -8 that means the graph have been compressing vertically by 2 units.
Also, the presence of minus sign, this is because the reflection has been done here about x-axis, so it becomes -8x².
According to our study we can say that the graph is reflected over x-axis and compressing vertically by 2 units.
Hence, the correct option is B.
Learn more about transformations, click;
https://brainly.com/question/13801312
#SPJ2
What is the surface area of the sphere in terms of pie?
(Answer only with right answers no links or you’ll be reported)
Answer:A
Step-by-step explanation:
because A= pi r2
A= pi 5 two
A=25 pi
Which is the best simplification of (2^4 x 3*2)/(2 x 3)?
Answer:
16
Step-by-step explanation:
what is the value of x? 26 degrees tangent lines
Answer:
154°Step-by-step explanation:
The central angle and the angle between the tangents are supplementary, so
x + 26° = 180° ( subtract 26° from both sides )
26 - 26 = 0
180 - 26 = 154
x = 154°
The value of the x will be 154°.
How to find the interior central angle?The central angle and the angle between the tangents are supplementary.
If there is a circle O with tangent line L intersecting the circle at point A, then the radius OA is perpendicular to line L.
So,
x + 26° = 180°
Subtract 26° from both sides;
x + 26 - 26 = 180 - 26
x = 154°
Hence, the value of the x will be 154°.
Learn more about tangents ;
https://brainly.com/question/10024457
#SPJ2
PLEASE HELP ASAP WILL GIVE BRAINLEAST TO CORRECT ANSWER
Answer:
B Increase: 1, 6
B Decrease: 2, 5
Step-by-step explanation:
Brainliest plz ;)
Simplify the following expression by combining like terms: *
-2g - 8 +5g - 5
Answer:
3g -13
Step-by-step explanation:
A circle is centered at the point (-7,-1) and passes through the point (8, 7). The radius of the circle is ___ units. The point (-15, __ ) lies on this circle
Answer:
(x + 7)2 + (y + 1)2 = r2.
To get we use point (8, 7): (8 + 7)2 + (7 + 1)2 = r2, r2 = 225 + 64 = 289 = 172.
So, equation of circle: (x + 7)2 + (y + 1)2 = 289
Step-by-step explanation:
Look at the figures. How can you prove the triangles are congruent?
Find the solution to the system of equations.
x + 3y = 4
2x + 5y = 12
A. (3.8)
B. (-8,4)
C. (16,-4)
D. (1.2)
E. (-1,-2)
Answer:
C (16,-4)
Step-by-step explanation:
16+3*-4=4
16+(-12)=4
16-12=4
4=4
2*16+5*-4=12
32+(-20)=12
32-20=12
12=12
3. How would you explain to someone who has not yet studied trigonometry the
difference between an identity and an equation?
Answer:
Solving an equation means finding the value or values for which the two expressions are equal. ... An identity is an equation which is always true, no matter what values are substituted.
A trig identity is an equation that is true for all values of x;
For example:
sin²x + cos²x will always equal 1 no matter what the value of x.
There are some equations considered to be identities that are in fact not true all the time.
tan(2x) = 2tanx/(1 - tan²x) is not true when x = π/2 (right side is undefined).
A conditional equation is one that is true for a subset of the real numbers, i.e. for certain values of x, but not all.
For example:
sin²x - 1 = 0 is only true for some values of x.
sin²x = 1
sinx = ±√(1) = ±1
sinx = 1 or sinx = -1
x = sin-11 or x = sin-1(-1)
x = π/2 + 2kπ, k any integer or x = 3π/2 + 2kπ, k any integer (this can be condensed, but left this way for emphasis).
To learn more about trigonometric identities and equations refer to:
https://brainly.com/question/23058478
#SPJ2
15/16 as a decimal rounded to the nearest tenth
Answer:
0.9
Step-by-step explanation:
[tex]\frac{15}{16}=0.9375\approx0.9[/tex]
Please Answer!!! (I Give Brainliest!)
Answer:
48º
Step-by-step explanation:
40 points. Factor the following polynomial.
49y2 – x2
A.
(7y – x)(7y + x)
B.
(7y + x)2
C.
(7y – x)2
D.
does not factor
Answer:
A
Step-by-step explanation:
49y² - x² ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , then
49y² - x²
= (7y)² - x²
= (7y - x )(7y + x) → A
rotate the given triangle 180° counterclockwise about the origin. Help!!!!
Answer: (read vertically) [0,0/3,-1/-5,-2]
Step-by-step explanation:
[-1, 0] times [0, -3, 5]
[0, -1] [0, 1, 2]
hopefully this makes sense.
The rotated triangle by 180° counterclockwise about the origin is [tex]\left[\begin{array}{ccc}0&3&-5\\0&-1&-2\end{array}\right][/tex]
How to rotate the triangle?The coordinates of the triangle are given as:
[tex]\left[\begin{array}{ccc}0&-3&5\\0&1&2\end{array}\right][/tex]
The rotation is given as:
180° counterclockwise about the origin.
The rule of 180° counterclockwise about the origin is:
(x,y) ⇒ (-x,-y)
Using the above rule, we have:
[tex]\left[\begin{array}{ccc}0&3&-5\\0&-1&-2\end{array}\right][/tex]
Hence, the rotated triangle is [tex]\left[\begin{array}{ccc}0&3&-5\\0&-1&-2\end{array}\right][/tex]
Read more about rotation at
https://brainly.com/question/16691874
#SPJ6
A bag contains 30 ping-pong balls, each with a different number written on it from 1 to 30. What is the probability of selecting a ball with a number that is less than 13?
Answer:
...
Step-by-step explanation:
Answer:
so you have a 40% chance or 2/5 chance
Step-by-step explanation:
30 numbers in total
12 are less than 13
so you have a 12/30
simplify
2/5 = 0.4 or 40%
Solve x + 20 = 24.
The solution is x =
Answer:
4
Step-by-step explanation:
24 - 20 = 4
HELP ASAP!!!!! BRAINLIEST AWARD!!!!!!
Choose one of the theorems about chords of a circle and state it using your own words.
Create a problem about chords that uses the theorem that you explained. Solve the problem.
examples below:
1.The Chord Intersection Theorem:
If 2 chords of a circle are AB and CD and they intersect at E, then
AE * EB = CE * ED.
Problem.
Two Chords AB and CD intersect at E. If AE = 2cm , EB = 4 and CE = 2.5 cm, find the length of ED.
By the above theorem : 2 * 4 = 2.5 * ED
ED = (2 * 4) / 2.5
= 3.2 cm.
2.1. A given chord on a circle is perpendicular to a radius through its center, and it is at a distance less that the radius of the circle.
2. A circle of center O has a radius of 13 units. If a chord AB of 10 units is drawn at a distance, d, to the center of the circle, determine the value of d.
3. From question 2, the radius = 13 units, length of chord = 10 units and distance of chord to center of the circle is d.
A radius that meet the chord at center C, and divides it into two equal parts.
So that;
AC = CB = 5 units
Applying Pythagoras theorem to ΔOCB,
OC = d, CB = 5 units and OB = 13 units
= +
169 = 25 +
169 - 25 =
144 =
⇒ d =
= 12 units
Therefore, the chord is at a distance of 12 units to the center of the circle
PLEASE SOMEONE HELP ME ASAP!!!!! I’ll mark brainliest
Answer:
the first choice
Step-by-step explanation:
the first number is the tens place and the second number is the ones place so:
0,0,11,15...
when should you record the information about a check that you wrote in your resister?
Answer:
At least once a month you should check your personal information, including your email and phone number, to make sure those things are up to date. Also, you may want to change your mobile and online banking password every three to four months.
Which statement is true about subsets of the real numbers?
Answer:
The real numbers have the following important subsets: rational numbers, irrational numbers, integers, whole numbers, and natural numbers.Aug 28, 2018
Step-by-step explanation:
This is more question of math
Answer: 7 I think
Step-by-step explanation:
You and your friend each have a canvas of the same size. You divide your canvas into 5 sections and paint 3 of them. Your friend divides her canvas into 7 sections and paints 4 of them. Who paints more?
The person who paints more is given by the inequality equation 3/5 > 4/7
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the number of canvas be 35 ( LCM of 5 and 7 )
Now , when you divide 35 into 5 sections and paints 3 of them ,
The fraction A = 3/5
And , when your friend divide 35 into 7 sections and paints 4 of them
The fraction B = 4/7
And , the inequality equation is A > B
Substituting the values in the equation , we get
3/5 > 4/7
Hence , the one who paints more is you with 3/5 of the canvas
To learn more about inequality equations click :
https://brainly.com/question/11897796
#SPJ2
what is the volume of the cylinder below?
Answer:
B. 2488π
Step-by-step explanation:
Formula: πr2h
π x 12^2 x 17 = π x 144 x 17 = 2488π
Kevin made $342 for 18 hours of work. At the same rate, how many hours would he have to work to make $247?
Answer:
13 hours
Step-by-step explanation:
First you have to find the hourly rate at which money is being earned. To do so you divided the money earn ($342) by how many hours it took to earn (18 hours).
Once you do that you're given $19.00 per hour.
Now take the money earned with the unknown time ($247) and divide it by money being made per hour ($19) and you're given 13 hours
Answer:
13
Step-by-step explanation:
First, you need to find out how much money he is making per hour. To do that, we need to do $342 divided by 18 hours. This gives us 19. We now know that Kevin is making $19 an hour. Next, do $247 divided by $19. This gives us 13. He would need to work 13 hours to make $247.
Salma and Jared each threw 5 darts at the target shown. Salma scored 19 points by landing 2 darts in A and 3 in B. Jared scored 17 points by landing 1 dart in A and 4 in B. How many points are given for a dart landing in A?
Answer:
5
Step-by-step explanation:
this can be solved using simultaneous equation
2a + 3b = 19 equation 1
1a + 4b = 17 equation 2
Multiply equation 2 by 2
2a + 8b = 34 equation 3
Subtract equation 1 from 3
5b = 15
b = 3
Substitute for b in equation 1
2a + 3(3) = 19
2a = 9 = 19
2a = 10
a = 5
Answer:
Step-by-step explanation:
2a + 3b = 19 equation 1
1a + 4b = 17 equation 2
Multiply equation 2 by 2
2a + 8b = 34 equation 3
Subtract equation 1 from 3
5b = 15
b = 3
Substitute for b in equation 1
2a + 3(3) = 19
2a = 9 = 19
2a = 10
a = 5
Use a net to find the surface Area of the square pyramid The height of the pyramid is 9 yes and the base sides are all 2.5 yrds and its a square as a base
Answer:
[tex]Area = 51.68yd^2[/tex]
Step-by-step explanation:
Given
[tex]h = 9yd[/tex] -- height
[tex]a = 2.5yd[/tex] --- base sides
Required
Determine the surface area
The net is not given. So, I will solve directly.
The surface area is calculated as:
[tex]Area = a^2 + 2a\sqrt{\frac{a^2}{4} + h^2}[/tex]
So, we have:
[tex]Area = 2.5^2 + 2*2.5\sqrt{\frac{2.5^2}{4} + 9^2}[/tex]
[tex]Area = 6.25 + 5\sqrt{\frac{6.25}{4} + 81}[/tex]
[tex]Area = 6.25 + 5\sqrt{1.5625 + 81}[/tex]
[tex]Area = 6.25 + 5\sqrt{82.5625}[/tex]
[tex]Area = 6.25 + 5* 9.086[/tex]
[tex]Area = 51.68yd^2[/tex]
Which equation represents the line that is perpendicular to y=1/6 & passes through (-8,-2)?
a) y = -6
b) y = -8
c) x = -8
d) x = -2
Answer:
x = -8
Step-by-step explanation:
slope of y = 1/6 is zero
the negative reciprocal of zero is considered to be 'undefined', which is the slope of x=-8 (or x = 'any number')
If the Kahn family brings in $5,000 each month and their housing is 32% of their monthly budget.
How much is their housing/mortgage?
Answer:
Their Hosing/Mortgage is $1,600
Step-by-step explanation:
5,000 / 100 = 50
50 x 32 = 1600