Answer:
b = -9
Step-by-step explanation:
If we have a function with the form:
[tex]f(x)=ax^2+bx+c[/tex]
The axis of symmetry is equal to:
[tex]x = \frac{-b}{2a}[/tex]
So, for the function [tex]f(x)=3x^2+bx+4[/tex], the value of a is 3 and the value of c is 4. It means that its axis of symmetry is equal to:
[tex]x=\frac{-b}{2(3)}=\frac{-b}{6}[/tex]
Solving for b, we get that: [tex]b=-6x[/tex]
Additionally, the axis of symmetry is [tex]x=3/2[/tex], so replacing x by 3/2, we get that b is equal to:
[tex]b=-6(3/2)\\b=-9[/tex]
Answer:
b= -9
Step-by-step explanation:
I just took the quiz and got it right.
Which of these needs the denominator rationalized? -PLEASE HELP
Answer:
option b
Step-by-step explanation:
[tex] \sqrt{ \frac{5}{3} } [/tex]
[tex] \frac{ \sqrt{5} }{ \sqrt{3} } [/tex]
the denominator is in the surd form, so it must be rationalized
What is the solution set of x for the given equation? x^2/3=x^1/3+4=6 A. -2, -1 B. 2, -1 C. -8, -1 D. 8, -1 E. 2, 8
Answer:
Interpreting as: x^2/3=x^1/3+4=6 A
Input:
x^2/3 = x^(1/3) + 4 = 6 A
Two jets are flying towards each other from airport that are 1200 km apart. One jet is flying at 250 km.h-1 and the other jet at 350 km.h-1 . If they took off at the same time, how long will it take for the jets to pass each other?
Answer: 2 hours
Step-by-step explanation:
The total velocity at which the planes are approaching each other is 350 + 250 = 600 km/h
Since time = distance/velocity, time = 1200km/ 600 km/h = 2 hours.
please need help I will be MARKING as BRIANILIST. thank you so much.
Answer:
C. 7
Step-by-step explanation:
Custodian has = [tex]5 \frac{1}{4} gallons[/tex]
Ever bookcase needs = [tex]\frac{3}{4} gallons[/tex]
We'll just divide them
Bookcases to be painted = [tex]5\frac{1}{4} / \frac{3}{4}[/tex]
= [tex]\frac{21}{4}* \frac{4}{3}[/tex]
= [tex]\frac{21}{3}[/tex]
= 7
would this be a? please explain, thanks!
Answer:
Itz B.
Step-by-step explanation:
To form a triangle to two smaller sides have to be able to add up to be greater than the big side
x^2-18-6 completing the square
Answer:
(x+0)^2-24
Step-by-step explanation:
use (b/2)^2 to complete the square.
Answer:
(x+0)^2-24
Step-by-step explanation:
I took ap math XD
What is the value of x?
Answer:
x = 5
Step-by-step explanation:
Using similar triangles theorem
In similar triangles, ratio of their corresponding sides are equal.
Let the point where a line cuts BC = D
Length (AB/BD) = length(AC/CD)
15/3x = 9/(2x-1)
Cross multiply
15(2x-1) = 9(3x)
Expand the brackets
30x -15 = 27x
Collecting like terms
30x-27x = 15
3x = 15
Divide through by 3
x= 15/3
x= 5
i neeeeeeeeedd help filling in the blanks
Answer:
Step-by-step explanation:
6
2
11,034
70 ml/s
Math I NEED HELP LOOK AT THE IMAGE ALGEBRA IS KILLING ME
Answer:
22.5Solution,
Let the number be X
60% of X=13.5
[tex] \frac{60}{100} \times x = 13.5 \\ or \: \frac{60x}{100} = 13.5 \\ or \: 60x = 1350(cross \: multiplication) \\ or \: x = \frac{1350}{60} \\ x = 22.5[/tex]
hope this helps...
Good luck on your assignment..
Answer:
22.5
Step-by-step explanation:
Yummy Cookies just opened a brand new cookie bakery, ans sales are increasing every month! In January, the baker made 14 carrot cake cookies. In February, the baker doubled the January order, took 5 cookies home to his family, and sold the rest. If the baker continues to double the full amount and then bring 5 cookies home to his family, how many cookies will the baker sell in March and April?
Answer:
March he sells 51. April he sells 107
Step-by-step explanation:
In jan he made 14 so we double that for feb and have 28.
From that 28 he takes home 5 so we are left with 23.
Then we double 28 for March to get 56 but he takes 5 home which leaves 51 to be sold and so on.
Earth is approximately 4.54 * 10^9 years old. Humans are thought to have evolved around 2.5 * 10^5 years ago.
For what percentage of the age of the Earth have humans been present? Give your answer to 3 s.f
Answer:
5.507*10^-7%
Step-by-step explanation:
(2.5 * 10^5)/(4.54 * 10^9)*1/100 %= 5.507*10^-7%
I NEED HELP PLEASEEE \6(2x – 11) + 15 = 3x + 12 Part A: Write the steps you will use to solve the equation, and explain each step. (6 points) Part B: What value of x makes the equation true? (4 points)
Answer:
x = [tex]-7\frac{2}{3}[/tex]
Step-by-step explanation:
=> 6(2x+11) + 15 = 3x+12
(Expand the brackets)
=> 12x+66+15 = 3x+12
(Adding 66+15)
=> 12x+81 = 3x+12
(Subtracting 81 and 3x to both sides)
=> 12x-3x = 12-81
=> 9x = -69
(Dividing both sides by 9)
=> x = [tex]\frac{-69}{9}[/tex]
(Simplifying)
=> x = [tex]\frac{-23}{3}[/tex]
(Converting it into mixed form)
=> x = [tex]-7\frac{2}{3}[/tex]
So, x = [tex]-7\frac{2}{3}[/tex] will make the equation true.
Answer:hello
The answer is 7
Step-by-step explanation:at first solve this6(2x-11)=12x-66
Then write 12x-66+15
Then we have this 12x-66-15=3x+12
Then we have to write (x) in the left side and number in right side
12x-3x=66-15+129x=63
X=7
Good luck
How can you be certain that the angles you have created form a square inside the
circle?
Answer:
Step-by-step explanation:
Make sure that the angles are the same length, also make sure that the diameter of the circle is not smaller than that of the square to find diameter of a circle multiply the radius by 2, to find the radius use this formula
r=C over 2π
By Ensure that its angles are identical, and also ensure that circle's diameter is only smaller than the square because then the circle diameter multiplies the range by 2, so how you can find the [tex]\bold{r=C}[/tex] formula of the radius over [tex]\bold{2\pi}[/tex]
The building process is as follows:
Circle diameter is plotted.The method as described in the perfectly straight central axis of a portion is drawn by the bisector of the right angle of the radius. It is also a circular pattern diameter.The four areas on the circle that result are indeed the square vertices.Please find the attached file.
Learn more:
brainly.com/question/4577551
A planet has a circular orbit around a star. It is a distance of 74,000,000 km from the centre of the star. It orbits at an average speed of 38,000 km/h. How many Earth days does it take the planet to orbit the star? Give your answer to 2 sf.
Answer:
81.14 Earth days.
Step-by-step explanation:
Step 1
The formula to solve this question is given as
Speed = Distance / Time
In the question, we are given the following values
Distance of the planet = 74,000,000 km
Average Speed of the planet = 38,000 km/h.
Average Speed = Distance / Time
38,000 km/h = 74,000,000 km/ Time
Cross Multiply
38,000 km/h × Time = 74,000,000 km
Divide both sides by 38,000 km/h
Time(hours) = 74,000,000 km /38,000 km/h
Time(hours) = 1947.3684211 hours
This means the circular orbit of the planet around the star takes 1947.3684211 hours.
Step 2
In the question, we were asked to find how many Earth days it takes.
Hence, it is known that
24 hours = 1 (Earth) day
1947.3684211 hours = x days
We would cross Multiply
24 hours × x days = 1947.3684211 hours.
Divide both sides by 24 hours
x days = 1947.3684211 hours ÷ 24 hours
x days = 81.140350879 Earth days.
Therefore, the number of Earth days it takes the planet to orbit the star to 2 significant figures =
81.14 Earth days.
Solve for x. xx−1−1x−2=2x−5x2−3x+2 Select each correct answer. −1 2 3 6
Answer:
(C)x=3
Step-by-step explanation:
We want to solve for x in: [tex]\dfrac{x}{x-1} -\dfrac{1}{x-2}=\dfrac{2x-5}{x^2-3x+2}[/tex]
Take the LCM of the Left Hand Side
[tex]\dfrac{x(x-2)-1(x-1)}{(x-1)(x-2)} =\dfrac{2x-5}{x^2-3x+2}\\\dfrac{x(x-2)-1(x-1)}{x^2-3x+2} =\dfrac{2x-5}{x^2-3x+2}\\$Since we have the same denominator, then:\\x(x-2)-1(x-1)=2x-5\\x^2-2x-x+1-2x+5=0\\x^2-5x+6=0\\$Factorize\\x^2-3x-2x+6=0\\x(x-3)-2(x-3)=0\\(x-3)(x-2)=0\\x-3=0$ or $x-2=0\\x=3$ or x=2[/tex]
However, substituting x=2 does not satisfy the given equation as it would make it undefined.
Therefore x=3
Which of the following is a result of shifting a circle with equation (x-2)2 +(y-3)2=25 to the left 2 units ?
A.) Both the x- and y-coordinates of the center of the circle increased by 2
B.) Both the x- and y-coordinate of the center of the circle decreased by 2
C.) The y-coordinate of the center of the circle decreased by 2
D.) The x-coordinate of the center of the circle decreased by 2
Answer:
D.) The x-coordinate of the center of the circle decreased by 2
Step-by-step explanation:
(consult the diagram attached below)
Consider a circle
(x - 2)² + (y - 3)² =25
Where (h, k ) = (2, 3) which is the center of the circle.
When we want to move the circle to the left by 2 units, it also means the the center of the circle will move 2 units to the left.
If center of the circle moves 2 units to the left, it means that the x coordinate of the center of the circle will be decreases by 2 units, while y coordinate will remain the same.
Hence the new coordinate for the center of the circle is (2-2, 3) = (0, 3)
The new equation of circle will be:
(x - 0)² + (y - 3)² =25
(x )² + (y - 3)² =25
how does the fact that a parallelogram has rotational symmetry demonstrates that opposite side of a parallelogram are congruent ?
Answer:
See below.
Step-by-step explanation:
It is known that a parallelogram has rotational symmetry, rotated 180 degrees about it's center point. Now by definition a parallelogram is a quadrilateral with two pairs of parallel sides, hence it's name. If you were to take a look at the attachment below, you might see the connection.
Rotational Symmetry will make it so that side AB corresponds to CD, respectively AD and CB. The sides will coincide with one another after a 180 degree rotation, so that AB = CD, and AD = CB. Hence, in the same parallelogram, opposite sides are congruent.
Proved!
Find the domain and range of the following relation. Also determine whether the relation is a function,
{(42)(4,5),(4.7),(4.9)}
Answer: domain: {2, 3, 4, 6}
range: {–3, –1, 3, 6}
Step-by-step explanation:
DOMAIN: {4}
RANGE: {2,5,7,9}
FUNCTION? NO!
Your domain is always your x-coordinates, which are the first coordinates in a pair.
Your range is always your y-coordinates, which are the second coordinates in a pair.
When listing the points, it's important to remain a relation CANNOT be a function if the x's repeat, so luckily, they do not repeat.
Also, when listing points for your range, remember, if they repeat, you should only count one of the numbers, as you can see from the answer, there were two nines, but instead, I put one.
Can someone help me with this question
Answer:
[tex]3[/tex]
Step-by-step explanation:
Write in the exponential form with a base of 3
[tex]9^{\frac{1}{2} }[/tex] → [tex](3^{2})^{\frac{1}{2} }[/tex]
Simplify the expression by multiplying the exponents.
[tex]2 * \frac{1}{2} = 1[/tex]
[tex]3^{1} = 3[/tex]
Use laws of exponents to simplify inside the parentheses of the given expression ((a ^ - 2 * b ^ 2)/(a ^ 2 * b ^ - 1)) ^ - 3
The expression [(a⁻² × b²)/(a² × b⁻¹)]⁻³ in the simplified form will be (a¹² / b⁹).
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ [(a⁻² × b²)/(a² × b⁻¹)]⁻³
Simplify the expression, then we have
⇒ [(a⁻² × b²) / (a² × b⁻¹)]⁻³
⇒ [(a² × b⁻¹) / (a⁻² × b²)]³
⇒ [(a⁴ / b³)]³
⇒ (a¹² / b⁹)
The expression [(a⁻² × b²)/(a² × b⁻¹)]⁻³ in the simplified form will be (a¹² / b⁹).
More about the value of the expression link is given below.
https://brainly.com/question/23671908
#SPJ5
Answer:
D. (b^3/a4)^-3
Step-by-step explanation:
boop boop edge dge
Find x. Round your answer to the nearest tenth of a degree.
Answer:
x ≈ 31.3°
Step-by-step explanation:
We can use sin∅ to solve this:
sinx = 13/25
x = [tex]sin^{-1}(13/25)[/tex]
x = 32.3323
OMG HELPPP PLEASEEE plssss
Answer:
Brainliest goes to me
Step-by-step explanation:
if you solved it... it would be 8.75
but you can't like 0.75 of a color so it isn't possible
0.75 is to be rounded up so I would do 9
Answer:All you have to do is multiply
Step-by-step explanation:
A bridge connecting two cities separated by a lake has a length of 5.651 mi.
Use the table of facts to find the length of the bridge in yards.
Round your answer to the nearest tenth.
Answer:
The equivalent of 5.651 mi is 9945.76 yards
Step-by-step explanation:
Given:
Length of lake = 5.651 mi
Required:
Length of bridge in yards
From table of facts;
1 mile = 1760 yards
This implies that
5.651 miles will be:5.651 * 1760 yards
5.651 * 1760 yards = 9945.76 yards
5.651 * 1760 yards = 9945.8 yards (Aproximated)
Hence, the equivalent of 5.651 mi is 9945.76 yards
Which equation has a graph that is parallel to the graph of 2x - y = -1?
A. 2x + y = 8
о В.
y=-x+3
O C. y-1 = 2(x - 3)
O D. y = -2x - 1
Answer:
C.
Step-by-step explanation:
Parallel lines have the same slope but different y-int. So if our original equation is y = 2x + 1, then the other equation would have to be y = 2x + b, where b ≠ 1. Only answer C. works.
Answer:
The answer is C) y-1=2(x-3)
Step-by-step explanation:
Two equations are parallel if they have the same slope and different y-intercepts. In the answer (c) 2 represents the slope which is also the slope of the original equation. y=2x-5is the equation that you get when you distibute and isolate y.
Every integer is a whole number
Please select the best answer from the choices provided
T
F
Answer:
This is true.
PLEASE HELP ME WORK THIS OUT
30 POINTS
Answer:
Probability = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Total numbers on dice = 6
Those number which are a factor of eight = 3 (1,2,4)
Probability = [tex]\frac{No.OfPossibleOutcomes}{TotalNo. OfOutcomes}[/tex]
Probability = [tex]\frac{3}{6}[/tex]
Probability = [tex]\frac{1}{2}[/tex]
Answer:
1/2
Step-by-step explanation:
hope it helps.
all the best
Describe how to find the inverse of the function:
[tex]f(x) = \sqrt{x + 3} [/tex]
Answer:
f(x) = x² – 3
Step-by-step explanation:
Lemme try
f(x) = √(x + 3)
y = √(x + 3)
y² = x + 3
y² – 3 = x
Cz we gonna invers that, we'ld turn x to y and y to x, so:
x² – 3 = y
Yeah, inverse of the function is y=x²–3
Answer:
Step-by-step explanation:
Write a function and solve for the
total loan amount of an initial loan
of $15.005 at 3.5$ for 5 years
Answer:
Step-by-step explanation:
B
The ratio of the number of Andys seashells to the number of Bens seashell is 4:9. Andy has 100 seashells. How many seashells does Ben have?
Answer:
225 seashells
Step-by-step explanation:
4:9
100:x
Cross multiply the ratios.
4x=900
x=900/4
x=225
Solve 5(x - 4) = 2(x + 5)for x
5x-20 = 2x+10
3x-20= 10
3x= 30
x=10
Answer:
x = 10
Step-by-step explanation:
Step 1: Distribute parenthesis
5x - 20 = 2x + 10
Step 2: Add 20 to both sides
5x = 2x + 30
Step 3: Subtract 2x from both sides
3x = 30
Step 4: Divide by 3
x = 10