find x or solve for x​

Answer: b= 4a

( This is the correct answer, which is supposed to be option b, but a negative sign was put instead of an equal sign, so you can change appropriately)  

Step-by-step explanation:

Given that a and b vary directly, can be expressed as

a ∝ b

Introducing the constant of proportionality, k, we have that

a = kb

so when a= 2, b= 8 and the constant becomes

2 = k8

k = 2/8=1/ 4

a= 1/4b

Such that

b=4a

Answer:

f(x) = x^2 + 3x + 2.

Step-by-step explanation:

The zeroes of the quadratic function are -1 and -2 so we can write it as:

f(x) = a(x + 1)(x + 2)    where  a is some constant.

Now, when x = 1,  f(x) = 6 so

6 = a(1+1)(1+2)

6 = a*2*3 = 6a

a = 1.

So the function is f(x) = (x + 1)(x + 2) = x^2 + 3x + 2.

Answer:

See explanations below

Step-by-step explanation:

Given the functions f(x)=2x+3 and g(x)=x^2-1

a. Find f(g(x))

f(g(x)) = f(x^2-1)

f(g(x)) = 2(x^2-1)+3

f(g(x))= 2x^2-2+3

f(g(x)) = 2x^2+1

Hence the composite function f(g(x)) is 2x^2+1

b) g(f(x)) = g(2x+3)

g(f(x) = (2x+3)^2-1

g(f(x)) = 4x^2+12x+9-1

g(f(x)) = 4x^2+12x+8

Answer:

of quadrilateral JKLM are: J: (1,-2) K: (13,4) L: (6,8) and M: (-2,4). Prove that JKLM is a trapezoid, but not an isosceles trapezoid

The required JKLM is a trapezoid, but as the two sides are equal so JKLM is an isosceles trapezoid.

A quadrilateral is a four-sided shape as given in the picture in question.

A quadrilateral is a trapezoid if exactly one pair of its opposite sides are parallel. To prove that JKLM is a trapezoid, we can find the slopes of its sides and check if exactly one pair of opposite sides have the same slope. The slope of a line passing through points (x₁, y₁) and (x₂, y₂) is given by (y₂ - y₁) / (x₂ - x₁).

The slope of JK is (4 - (-2)) / (13 - 1) = 6 / 12 = 1/2

The slope of KL is (8 - 4) / (6 - 13) = 4 / (-7) = -4/7

The slope of LM is (4 - (-2)) / (-2 - 6) = 6 / -8 = -3/4

The slope of MJ is (-2 - 4) / (1 - 13) = -6 / -12 = 1/2

Since JK and LM have different slopes, we can conclude that exactly one pair of opposite sides are parallel; thus, JKLM is a trapezoid.

To prove that JKLM is not an isosceles trapezoid, we need to show that none of its sides have equal length. The distance between two points (x₁, y₁) and (x₂, y₂) can be calculated using,
The distance formula = √((x₂ - x₁)² + (y₂ - y₁)²)

We can calculate the lengths of all four sides of JKLM and see if any of them are equal.

JK = √((13 - 1)² + (4 - (-2))²) = √(144 + 36) = √(180) = 6√(5)

KL = √((6 - 13)² + (8 - 4)²) = √(49 + 16) = √(65) = √65

LM = √((-2 - 6)² + (4 - (-2))²) = √(64 + 36) = √(100) = 10

MJ = √((1 - 13)² + (-2 - 4)²) = √(144 + 36) = √(180) = 6√(5)

Since two of the four sides are equal in length, JKLM is an isosceles trapezoid.

Learn more about quadrilateral here: https://brainly.com/question/13805601

#SPJ5

Answer:

S = -60

Step-by-step explanation:

It is hard to explain

Answer:

2

Step-by-step explanation:

Please give me brainliest. Have a good day. :)

Answer:

2

Step-by-step explanation:

2 just divide by 2 or multiple

also please give me the brainliest

Answer:

a

Step-by-step explanation:

a

Answer:

N=24/P

The number of bagels(N) would be equal to 24$ divided by the price of the bagels. If there is a remainder, round down because you cannot buy pieces of bagels.

Step-by-step explanation:

If you have 24$ to buy bagels, the amount of bagels depends on the price amount. The price of the bagels could also be called the independent variable, while the amount of bagels you end up getting would be the dependent variable.

Answer:

you are from the school pinecrest glades arent you?? >:(

Step-by-step explanation:

Answer:

2(n-2)^2

Step-by-step explanation:

Answer:

Hindi Film: 6,000 people

English: 4,000 people

Classical: 3,000 people

Other: 7,000 people

Answer:

Evaluating Exponents. An exponent is a number that tells how many times the base number is used as a factor. For example, 34 indicates that the base number 3 is used as a factor 4 times. To determine the value of 34, multiply 3*3*3*3 which would give the result 81

Answer:

x > 5.4

One-half less-than x

x > 0

Step-by-step explanation:

use an open circle for "less than" or "greater than", and a closed circle for "less than or equal to" or "greater than or equal to"

Answer:

if they have < or > then the inequality has and open circle

if they have [tex]\leq or \geq[/tex] then the inequality has a closed circle

Step-by-step explanation:

Answer:

c. is the right answer equally likely

Answer:

Equally likely

Step-by-step explanation:

Half of the spinner is 1 and 3, the odd numbers. basically there is a 50 percent chance that it will fall on a odd number.

Answer: a.) A rate of pay for hours worked exceeding 40 hours

Step-by-step explanation:

Just like in the NBA or any sport there can be a section of overtime when the clock runs out and both sides are tied. In this problem overtime means that george can work more than he has to in order to make more money. The key word "exceeding" is just a synonym for more so that's how they try to trick you

Answer:

Step-by-step explanation:

3m + 5 > 2(m - 7)

3m + 5 > 2m - 14

3m - 2m > -14 - 5

m > -19

Answer:

Step-by-step explanation:

Answer:

Follows are the solution to the given points:

Step-by-step explanation:[tex]a) \ \ (-5)^4 = -5 \times -5 \times -5 \times -5 =-625 \\\\ b) \ \ (+2)^6= 2 \times2 \times2 \times2 \times2 \times2 =64 \\\\ c)\ \ (+12)^2 = 12 \times 12 = 144 \\\\ d)\ \ (+15)^1= 15 \\\\ e)\ \ (-1)^{20} = -1 \times -1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1\times-1= 1[/tex]

[tex]\\\\ f) \ \ (-4)^5 =-4 \times -4 \times-4 \times-4 \times-4 =-1024\\\\ g)\ \ (-15)^0= 1 \\\\ h) \ \ (-2)^7= -2 \times-2 \times-2 \times-2 \times-2 \times-2 \times-2 =-128 \\\\ i) \ \ (+15)^{0}=1 \\\\ j)\ \ (+15)^1 =15\\\\ k)\ \ (+15)^2 = 15 \times 15=225\\\\ l)\ \ (-15)^2= -15 \times -15=225[/tex]

[tex]x = - 3[/tex]

[tex]x + 3 = - x - 3[/tex]

[tex]x + 3 + x = - x - 3 + x[/tex]

[tex]2x + 3 = - 3[/tex]

[tex]2x = - 3 - 3[/tex]

[tex]2x = - 6[/tex]

[tex]x = - 6 \div 2[/tex]

[tex]x = - 3[/tex]

Answer:

slope: 10

y-intercept: -1/3

Step-by-step explanation:

slope-intercept form is y = mx + b where m = slope and b = y-intercept.

the equation you're given is y = 10x - 1/3, which just happens to be in slope-intercept form already and doesn't require you to solve for any unknown variables. all you have to do is identify the m (slope) value and the b (y-intercept) value! :)

let's begin by finding your equation's slope, which is represented by the variable m in slope-intercept form! keep in mind that slope-intercept form is y = mx + b.

y = 10x - 1/3

now we need to find your equation's y-intercept, which is represented by the variable b in slope-intercept form! again, keep in mind that slope-intercept form is y = mx + b.

y = 10x - 1/3

therefore, the slope is 10 and the y-intercept is -1/3. i hope this helps! have an amazing day <3

Answer:

which grade are you?.......

Answer:

$2895 is the current balance of Melissa's bank account.

Answer:

c the answer is c bc i got a 5/5 on the test

Step-by-step explanation:

Answer:

I got it right

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Answer:

70 and 110 degrees

Step-by-step explanation:

7+11=18 units

180 degrees/18 units=10 degrees per unit

7x10=70 degrees

11x10=110 degrees

Answer:X=0

Step-by-step explanation:

y=6x+6

y=5x+4 substitute y in the other equation

6x+4=5x+4

-5x-4 -5x -4

x=0

Answer:

I think c

Step-by-step explanation:

that is what it showed on my test I am not a 100% sure.

Answer:

Step-by-step explanation:

70+5x+15=180

5x+85=180

5x=95

x=19

Answer:

Decimal 0.333 to a fraction in simplest form is:   [tex]\frac{333}{1000}[/tex]

Step-by-step explanation:

Given the decimal

[tex]0.333[/tex]

Multiply and divide by 10 for every number after the decimal point.

There are three digits to the right of the decimal point, therefore multiply and divide by 1000.

Thus,

[tex]0.333=\frac{0.333\cdot \:\:1000}{1000}[/tex]

         [tex]=\frac{333}{1000}[/tex]         ∵ 0.333×1000 = 333

Let us check if we can reduce the fraction [tex]\frac{333}{1000}[/tex]

For this, we need to find a common factor of 333 and 1000 in order to cancel it out.

But, first, we need to find the Greatest Common Divisor (GCD) of 333, 1000

Greatest Common Divisor (GCD) :

The GCD of a, b is the largest positive number that divides both a and b without a remainder.

Prime Factorization of 333:      3 · 3 · 37

Prime Factorization of 1000:      2 · 2 · 2 · 5 · 5 · 5

As there is no common factor for 333 and 1000, therefore, the GCD is 1.

Important Tip:

Therefore, decimal 0.333 to a fraction in simplest form is:   [tex]\frac{333}{1000}[/tex]

Answer: B

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

I got it correct on a test!! Hope this helps!!