Find the equation of a line through the given point A that satisfies the given condition: Point A(-2,7); parallel to the line y=-3x - 4

Answer:

Step-by-step explanation:

studying Math       65

Studying science   50

studying both          35

student are studying in the college are:(65+50)-35=80 students

student studying math only= 65-35=30

student studying science only = 50-25=15

Answer:

8 and 5.

Step-by-step explanation:

8 x 5 = 40

8 + 5 = 13

Answer:

4ab² + 20b - 3a

Step-by-step explanation:

This question most likely asks us to simplify the expression, as factoring is not possible...

(ab² + 13b - 4a) + (3ab² + a + 7b),

ab² + 13b - 4a + 3ab² + a + 7b,

ab² + 3ab² + 13b + 7b - 4a + a,

Solution : 4ab² + 20b - 3a

Answer:

100 ml of concentrate and 350 ml of water

Step-by-step explanation:

2 + 7 = 9 total parts

450/9 = 50

2(50) = 100 ml concentrate

7(50) or 450 - 100 = 350 ml water

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

Answer:

4.

Step-by-step explanation:

f^-1(x) is the inverse of f(x). That means that f(x) = 2x - 6 becomes...

x = 2y - 6

2y - 6 = x

2y = x + 6

y = 1/2x + 3.

When x = 2...

y = 1/2(2) + 3

= 1 + 3

= 4.

Hope this helps!

Answer:

No!

Step-by-step explanation:

This question is essentially asking if [tex]\frac{5}{6}[/tex] = [tex]\frac{3}{4}[/tex]

Well we can easily tell that it doesn't, but if we want to check, we can do cross multiplication.

So we are trying to find out if 5(4) = 3(6).

5(4) = 20 and 3(6) = 18.

[tex]20 \neq 18[/tex] so [tex]5:6 \neq 3:4[/tex]

They are not equal!

Answer:

No, because the numbers in the given ratio must be multiplied by the same number.

Step-by-step explanation:

Right on E 2020

Answer:

-10x+1.5

Step-by-step explanation:

-2(5x-0.75).... distributive property

-10x+1.5

Note:

-&-=+

+&+=+

+&-=-

-&+=-

Hope this helps ;) ❤❤❤

Answer:

d

Step-by-step explanation:

Answer:

3 x (14-3) = 33

Step-by-step explanation:

The algebraic expression will be : 3(x - 4) = 33

Given,

3 times the difference of a number and 4 is 33

Now,

Let the number be x .

So,

Three times the difference of x and 4 will be 33 .

So,

First subtract x-4

Then thrice of this is 33

So,

3(x - 4) = 33

Thus the algebraic expression is 3(x - 4) = 33 .

After solving the expression:

x- 4 = 11

x = 15

Know more about algebra,

https://brainly.com/question/16934260

#SPJ6

Explanation:

The idea is to isolate y getting it by itself. We can do this a number of ways, but possibly the quickest way is to add y to both sides

x/2 - y + 6 = 0

x/2 + 6 = 0+y

x/2 + 6 = y

y = x/2 + 6

This is now in slope intercept form, more or less. We could rewrite the x/2 as (1/2)x to get

y = (1/2)x + 6

Then compare this to y = mx+b and note the slope is m = 1/2 and the y intercept is b = 6.

Side note: the quality of the snapshot is fairly good. I've seen much worse.

Answer:

y =2x+1

Step-by-step explanation:

The slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = 2x+b

Substituting the point into the equation

5 = 2(2)+b

5 = 4+b

5-4 =b

b=1

y =2x+1

Answer:

itś between 30 and 45 but my best guest is 30

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

because i said so

Answer:

I dont get the question, is there suposed to be a chart?

Step-by-step explanation:

Answer:

(6,26)

Step-by-step explanation:

You will take the points and graph them since these are both positive equations they will go up and to the right.

both intersect at (6,26)

also if you forgot how to graph it, I got you

1. find the rate of change (as I will call it) THIS IS YOUR NUMBER NEXT TO THE X!!! this means that the line will go up 4 and over 1 then your whole number, in this example would be 2 is your y-intersect (the place on the y-axis where the line passes) after that you should be able to draw your lines and find the poi!

Please comment if I got something wrong! I don't want to be giving bad advice

Answer:

1 out of 6

Step-by-step explanation:

Hi

perimeter of rectangle is  : 2 length+2 width .

to progress in math, you must practice.

So , I let you  do the first one which is the esaiest.

48 ) V147+ V147 + V108+V108 =    2V147 +2V108  = 2 ( V147+V108)

Answer:

250

Step-by-step explanation:

5000×5/100 =250

why because you times it for commission because it what you gain

Answer:

(5, 12, 13)

Step-by-step explanation:

Hello, please consider the following.

[tex](\forall (x,y) \in \mathbb{R}^2) \ \ (x^2-y^2)^2+(2xy)^2=(x^2+y^2)^2\\\\\text{You can develop both expressions to see that this is equal.}\\\\\text{After }(3,4,5)\text{ we can try the triple starting with }5\\\\\text{So, let's search x and y such that } 5=x^2-y^2=9-4=3^2-2^2\\\\\text{And, then, it comes}\\\\(3^2-2^2)^2+(2*3*2)^2=(3^2+2^2)^2\\\\<=> 5^2+12^2=13^2\\ \\\text{So, }(5,12,13)\text{ is a Pythagorean triple}[/tex]

Is it a primitive one?

5 = 1 * 5

12 = 1 * 2 * 2 * 3

13 = 1 * 13

So this is a primitive one.

Thanks

Answer:

5, 12, 13

Step-by-step explanation:

Answer :

y=7x-47

Step-by-step explanation:

[tex] (8, 9) = (x_1,y_1) \\ m = 7 \\ y - y_1 = m(x - x _1) \\ y - 9 = 7(x - 8)[/tex]

[tex]y - 9 = 7x - 56 \\ y = 7x - 56 + 9 \\ y = 7x - 47[/tex]

I hope it helps

Answer:

-31

Step-by-step explanation:

-2((c+5)/(-2))=13*-2

c+5=-26

c=-31

Answer:

c = -31

Step-by-step explanation:

(c+5)/(-2)=13

Multiply each side by -2

(c+5)/(-2) *-2=13* -2

c+5 = -26

Subtract 5 from each side

c+5-5 = -26-5

c = -31

Answer:

2π² or 19.74

Step-by-step explanation:

Given r = π

Then:

or

Answer:

1). Option (3)

2). Option (D)

Step-by-step explanation:

1). Integers are the numbers which are whole numbers with negative or positive notations.

Integers can't be a fraction or a number with decimal.

Out of the numbers given,

-18 and 4 will be the integers

Option (3) is the correct answer.

2). Shaded portion of the diagram represents the rational numbers excluding integers,

By the definition of the rational numbers, any number which can be written as a fraction is a rational number.

Rational numbers → All numbers given are the rational numbers

Integers → [tex]\frac{16}{4}=4, -\frac{30}{5}=6, -\frac{32}{8}=-4[/tex]

Therefore, only one number [tex]\frac{30}{9}[/tex] will lie in the shaded region.

Option (D) will be the answer.

Answer:

Domain: (-11, 4)

Step-by-step explanation:

Domain is the set of all x-values that can be inputted into a function.

So we look at x-values that can be inserted into the graph.

We notice that we cannot input x = -11 or x = 4 as it is open-pointed but everything inbetween works, so we have (-11, 4) as our domain.

Answer: 6

Step-by-step explanation:

ax/ay=r^(x-y)

in this case it will be

a4/a1=r^(4-1)

24/3=r^3

8=r^3

r=2

----------------------------------

an=a1×r^(n-1) ⇔ geometric sequence formula

a2=3×2^(2-1)

a2=3×2^1

a2=3×2

a2=6

Answer:

12x² - 4x - 8

Step-by-step explanation:

Use FOIL method

(3x + 2)(4x - 4) = 3x*4x + 3x*(-4) + 2 *4x + 2*(-4)

                        = 12x² - 12x + 8x - 8   {add like terms}

                        = 12x² - 4x - 8

Hint: 3x * 4x  -----> Multiply the coefficients = 3 *4 = 12 and then multiply the variables and for multiplying the two variable, add the powers

x*x =[tex]x^{1+1)=x^{2}[/tex]

3x * 4x = 12x²

Answer:

5.1 gallons

Step-by-step explanation:

Using the information provided, we know that there is of course 40.8 gallons of paint to be divided into 8 containers. This means we must use a division problem to figure out our answer.

We are splitting the 40.8 gallons into the 8 containers so that means our dividend is 40.8 and our divisor is 8. With this information, we can go ahead and put this into an expression of:

40.8/8

If you have a calculator, you can plug that equation in to get 5.1, but if you don't then a bit of easy long division will get you the same answer of 5.1 gallons.

Answer: 51 gallons

Step-by-step explanation:

Answer:

0-2 x-intercepts and 0-1 y-intercepts

Step-by-step explanation:

A quadratic function can have anywhere from 0 to 2 x-intercepts. This is possible because a function can have 0, 1, or 2 solutions.

A parabola can also have either 0 or 1 y intercepts. It is possible for the function to not intercept the y axis at all, and it is also possible for it to intercept it exactly one time.

Answer:

The total population = 9514.2857143 people.

Step-by-step explanation:

Let the total population be represented by X

In the question, we are told that,1332 people are under the age of 20 and this value = 14% of the total population.

Therefore, the total population is calculated as

14% of X = 1332

14/100 × X = 1332

14X/100 = 1332

Cross Multiply

14X = 1332 × 100

X = 1332 × 100/14

X = 9514.2857143

Therefore, the total population = 9514.2857143 people.

Answer:

One of the sides is 6 cm and the other is 8 cm

Step-by-step explanation:

Let's call the unknown sides a and b. From the perimeter information (24 cm) we have:

a + b + hypotenuse = 24

a + b + 10 = 24

a + b = 14

b = 14 - a

So now we can right the Pythagorean theorem as follows:

[tex]a^2 + b^2 = hypotenuse^2\\a^2 + (14-a)^2=10^2\\a^2+ 14^2-28\,a+a^2=100\\2\,a^2-28\,a +96=0\\2\,(a^2-14\,a+48)=0\\2\,(a^2-6\,a-8\,a+48)=0\\2(a\,(a-6)-8\,(a-6))=0\\2\,(a-6)\,(a-8)=0[/tex]

and from this expression in factor form to be zero a must be 6 or a must be 8.

Therefore the solutions are a = 6 (and therefore b = 14 - 6 = 8)

or a = 8 (and therefore b = 14 - 8 = 6)

Perimeter of triangle = Sum of all sides.

One side of triangle = 10 cm

Measure of other two sides will be → 24-10

Other two sides sum will be = 14 cm

Let's assume one side as x and other as 14-x

Now hypotenuse is of 10 cm

According to Pythagorean theoram

Hypotenuse² = Perpendicular ² + base²

→ 10² = (x)² + (14-x)²

→ 100 = x² + (14-x)²

(a-b)² = a²+b² -2ab

→ 100 = x² + 196 + x² -28 x

→ 100 = 2x² + 196 - 28x

Taking 2 commen both sides

→ 50 = x² -14x + 98

→ 0 = x² -14x +98-50

→ x² -14 x +48 = 0

Factorising :-

→ x² - 6x - 8x + 48 = 0

→ x( x -6) -8(x -6) = 0

→ (x-6)(x-8) = 0

→ x = 6 or x = 8

So x is 6 or 8

Other two sides of triangle are 6 cm and 8 cm

Answer:

Leg₂ ≈ 6.481 or √42

Step-by-step explanation:

a² + b² = c²

(√7)² + b² = (7)²

7 + b² = 49

b² = 42

b = √42

b ≈ 6.481