Suppose 3 is a root of the quadratic equation ax² – 2x – 21 = 0. Find the value of a and hence find the other
root of the equation.​

Answer:

i can do A for u

Step-by-step explanation:

the seed is one variable and the place where it was planted is another

Answer:

Slope m = 6

y-intercept b = -5

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

[Slope-Intercept Form]   y = 6x - 5

Step 2: Break Function

Identify Parts

Slope m = 6

y-intercept b = -5

Answer:

[tex]slope:6\\y-intercept:-5[/tex]

Step-by-step explanation:

Given the line:

[tex]y=6x-5[/tex]

We can first refresh our memory with slope-intercept form:

[tex]y=mx+b[/tex]

In slope-intercept form:

[tex]m=slope\\b=y-intercept[/tex]

With that information, using the given equation for the line, we can conclude that:

[tex]m=6[/tex]

[tex]b=-5[/tex]

Answer:

Since there is one value of y{(-6,3),(2,2),(6,2),(3,7)}for every value of x in , this relation is a function.The relation is a function.

Step-by-step explanation:

Hope that help like and please give me brainiest.Aslo add me.

Answer:

yes

Step-by-step explanation:

y = 5x - 30

if this is wrong just lmk and ill fix it

hope this helps <3

Answer:

$79.375

Step-by-step explanation:

Given that:

Bill before tax = $63.50

Tax = 7%

Tip added = 18%

Hence,

Tax = 7% of bill before tax

Tax amount = 0.07 * 63.50

Tax amount = $4.445

Tip amount = 0.18 * 63.50

Tip amount = $11.43

Total meal cost :

Before tax cost + tax amount + tip amount

$(63.50 + 4.445 + 11.43) = $79.375

Step-by-step explanation:

There are 12 white tiles surrounding 3 green tiles, and 16 white tiles surrounding 5 green tiles.

Common difference = (16-12)/(5-3) = 2.

Hence number of white tiles = 2n + 6.

Answer:

the answer is b

Step-by-step explanation:

Answer:

The integer representing the change is -43,200 gallons

Step-by-step explanation:

Here, we want to get the integer that represents the change in the number of gallons drained from the reservoir each week

Total number of hours per week would be 2 * 3 = 6 hours ;

6 hours is same as 6 * 60 = 3600 minutes

in a minute 12 gallons are drained

In 3600 minutes, the number of gallons drained would be;

3600 * 12 = 43,200 gallons are drained

Answer:

{0, 3.75, 7.5, 11.25, 15, 18.75, 22.5}

Step-by-step explanation:

Since the values in this function cannot go on infinitely this is a discrete funciton.

Its basically asking how much he can spend on drinks with 23$ if they are each 3.75$, this means that he can buy at most 6 drinks. Imagine a disctrete graph with a point on every value he spends per drink, (0,0) (1 , 3.75) (2 , 7.5) etc.

As our bright fellow shadow188 has stated, y is the range or the output so you list the possible outputs for the range in bracets.

I hope you found this helpful, ik its a little late.

The required range will be $3.75 ≤ y ≤ $23 for the function.

Given that,
Brandy only has $23 in cash to spend on drinks, and the concession stand charges $3.75 for a drink.
x represents the number of drinks purchased, and y is the amount of money spent on drinks, what is the range in this situation is to be determined.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Let the x be the cost of the drink and y be the total amount of money spent,
Since there are concession stand charges of $3.75 also.
So the minimum charge will be $3.75 whether bought the drink or not, and Brandy has $23 to spend on drinks so the maximum will be $23.
So, the range can be given as $3.75 ≤ y ≤ $23.

Thus, the required range will be $3.75 ≤ y ≤ $23 for the function.

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Answer:

b on edge, 16.3

Step-by-step explanation:

trust

The angle between the two given vectors is 16.26°

Here we have the vectors u = (3, 4) and y = (4, 3).

We know that:

u*y = |u|*|y|*cos(θ)

Then:

u*y = 3*4 + 4*3 = 24

And:

|u| = √(3^2 + 4^2) = √25 = 5 = |y|

Then we have:

24 = 5*5*cos(θ)

24/25 = cos(θ)

To find theta, we apply the inverse cosine function in both sides:

Acos(24/25) = θ = 16.26°

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Answer:

x=3√5

Step-by-step explanation:

This is a right angle triangle

So the equation is

2²+x²=7²

x=√7²-2²

x=3√5

Answer:

x=3√5

Step-by-step explanation:

Answer:

9:1, 18:2, 27:3, 36:4, 45:5 or 1,2,3,4,5

Step-by-step explanation:

This is the answer because:

1) We can see that eah ratio is being multiplied with the next number. We can say this because 9 x 2 = 18 and 1 x 2 = 2 which is 18:2 just like that 9 x 3 = 27 and 1 x 3 = 3 which makes the ratio 27:3.

2) If we keep on doing this, 9 x 4 = 36 and 1 x 4 = 4 which makes the ratio 36:4.

Therefore, the answer is 4.

Hope this helps! :D

Answer:

Independent: videos rented; Dependent: total cost; f(v) = 2.5v + 25

Step-by-step explanation:

plz mark as brainliest i tryed my best im sure its right

Answer:

the answer would be A. adding the exponents

Step-by-step explanation:

Answer:

A. adding the exponents

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

no solution

Step-by-step explanation:

Answer:

what to find the sum of Rs or

Answer:

If Rodgolf buys 3 comic books and 4 CDS, he payed a total of 85 dollars

Step-by-step explanation:

(wait but where is the question) Also 15 dollars or cents?

3*15= 45

4* 10= 40

45+40= 85

Answer:

A. [tex]\displaystyle y = -\frac{1}{2} x -4[/tex]

Step-by-step explanation:

Equation of a Line

The equation of the line in slope-intercept form is:

y=mx+b

Where:

m = slope

b  = y-intercept.

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where:

(h,k) is a point through which the line passes.

The line we are looking for has a slope defined for the fact that is perpendicular to the line shown in the graph.

Two perpendicular lines with slopes m1 and m2 satisfy the equation:

[tex]m_1m_2=-1[/tex]

We'll find the slope m1 of the given line and then solve the above equation for m2:

[tex]\displaystyle m_2=-\frac{1}{m_1}[/tex]

The line of the graph passes through two clear points (-3,-3) and (0,3). Let's calculate the slope.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m_1=\frac{3+3}{0+3}=\frac{6}{3}=2[/tex]

Now we calculate the second slope:

[tex]\displaystyle m_2=-\frac{1}{2}[/tex]

We use the point-slope form, given the point (6,-7):

[tex]\displaystyle y + 7 = -\frac{1}{2} ( x - 6 )[/tex]

Operating the parentheses:

[tex]\displaystyle y + 7 = -\frac{1}{2} x +\frac{1}{2}\cdot 6 )[/tex]

Simplifying:

[tex]\displaystyle y = -\frac{1}{2} x +3-7[/tex]

A. [tex]\mathbf{\displaystyle y = -\frac{1}{2} x -4}[/tex]

Answer:

13

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

I am assuming you are asking for f(x)=x^2-3x+8? You plug (-1) in for all portions of x. This means you get (-1)^2-3(-1)+8. (-1)^2 is simply 1 because -1 x -1=1. 3*-1 is -3. This makes the equation 1 - (-3) + 8. The middle section simplifies down to +3 making it 1+3+8, or 12.

Answer:

x=15

Step-by-step explanation:

Answer:

What is the x and y coordinate of (3,4)

Answer:

$31.68

Step-by-step explanation:

Multiply each by the correct number

almond= 1.4*9.15= 12.81

cashews= 10.75* 0.8= 8.6

Peanuts= 3.95 * 2.6= 10.27

Add them all up

12.81+8.6+10.27

you’ll get 31.68

Answer:

x = 0

Step-by-step explanation:

In order to solve for x, first combine both fractions on the left

To add 4x-2/8 + 3+x/4 first find the least common denominator of 8 and 4

It's 8 so multiply the numerator and denominator of 3+x/4 by 8, you would get:

8x+24/32

Multiply 4x-2/8 by 4, you will get:

16x-8/32

Now you can add 16x-8/32 + 8x+24/32, you would get:

24x+16/32

Now you can start to solve for x

Your new equation is 24x+16/32 = 1/2

To solve for x, first multiply diagonally, then solve like a regular equation.

Multiply 24x+16 by 2 to get 48x+32

Then multiply 32 by 1 to get 32

Your new equation is 48x+32=32

Now subtract 32 by 32 to get 48x=0

Now divide 48 by 0 to get x=0

Miami gets 6.12 more inches of rain.

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

We have to given that;

The average rainfall in inches in Miami from January to May is 1.61, 2.24, 2.99, 3.15, 5.35, and 9.68

While it is 2.24, 2.8, 3.03, 2.05, 2.09, and 6.69 during the same period in Tampa.

Hence, For Miami;

= 1.61 + 2.24 + 2.99 + 3.15 + 5.35 +9.68

= 25.02

For Tampa;

= 2.24 + 2.8 + 3.03 + 2.05 + 2.09 + 6.69

= 18.90

Thus, Find difference as;

= 25.02 - 18.90

= 6.12

Therefore, Miami gets 6.12 more inches of rain.

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Answer:

g(x): horizontal compression

h(x): vertical stretch

p(x): vertical compression

w(x): horizontal stretch

Step-by-step explanation:

g(x): horizontal compression

h(x): vertical stretch

p(x): vertical compression

w(x): horizontal stretch

Answer:

4. 5. 3. are correct im pretty sure

Step-by-step explanation:

Statements 1, 2, and 3 about f(x) and g(x) are "true".

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

Consider the function f(x) = 3x - 2 and the function g(x), which is represented by the table below.

x  : 1   3   5   7   9

g(x): 3  7   11   15   19

Here the slope of the function g(x) is 2.

This means statements 1 and 2 are false because slopes are different.

To compare the position of the lines at the x-axis, you can evaluate the function at x=0. f(0) = 3×0 - 2 = -2 and g(0) = -1.

Since g(0) is less than f(0), the line represented by g(x) crosses the x-axis to the right of the line represented by f(x). So, statement 3 is true.

The y-intercept of f(x) is -2, while the y-intercept of g(x) is 1. So, statement 4 is true.

To compare the values of f(x) and g(x) at x=3, you can evaluate the functions at x=3. f(3) = 3×3 - 2 = 7 and g(3) = 7. So, the values of f(x) and g(x) are the same at x=3. So, statement 5 is true.

Therefore, the true statements are 2, 3, and 4.

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