Solve the system of linear equations by substitution: (SHOW UR WORK)
y=-x
y=3x-4

Answer:

y=5x-8

Step-by-step explanation:

Slope=m=(7-3)/(3-2)

y=5x+b=>2=5*2+c=>c=-8

So y=5x-8

[tex]\text{Given that,}\\\\(x_1,y_1) = (2,2), ~ \text{and}~ (x_2,y_2) = (3,7)\\\\\text{Slope, m =} \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{7-2}{3-2} = \dfrac 51 = 5\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y-2= 5(x-2)\\\\\implies y -2 = 5x-10\\\\\implies y = 5x -10 +2\\\\\implies y = 5x -8\\\\\\\text{It is now in a form of y = mx +c}[/tex]

ayo how do answer these

Step-by-step explanation:

7 x 10^4

+ 2 x 10^3

+ 6 × 10^2

+ 5 × 10^1

+ 8 X 10^0

Answer: 6.25

Step-by-step explanation:

Answer:

-4y²- 16y

Step-by-step explanation:

   2y(-2y - 8)

   2y (-2y) + 2y (-8)  Distributive

      -4y² - 16y                Multiply (+)(-) = -   and (y)(y) = y²

Answer:

6

Step-by-step explanation:

Since the range of a set is the difference between the highest and the lowest value in that set, the range here is:

9 - 3 = 6

Answer:

a=√2, c=4√3

Step-by-step explanation:

Recall that in a 45-45-90 triangle, the side lengths are the same but the hypotenuse is the side length times the square root of 2. Therefore, a=2/√2=√2.

Recall that in a 30-60-90 triangle, the shorter side length is x, the longer side is x√3, and the hypotenuse is 2x. Therefore, c=4√3

In order to use the Pythagorean Theorem to find out if a triangle has a right angle, you have to determine If the squares of the two shorter sides add up to the square of the hypotenuse, then you know the triangle contains a right angle.

If any doubt leave a comment

Answer:

Step-by-step explanation: All we are doing here is inserting 2 in place of all the x variables. So that is written as 12(2)-3(3(2)-5)+24. Next, we follow the order of operations to solve

1) Multiply 3 by 2 and subtract by 5 inside the parenthesis = 12(2)-3-1+24

2) Multiply 12 by = 24-3+1+24

3) subtract 3 from 24 = 21+24

4) Add the final two terms = 45

MARK BRAINLIEST

Answer:

Yes

Step-by-step explanation:

A cycle is marked at ₹4500 and sold for rupees ₹4185.

Now, To find discount

4500 × 7 ÷ 100 = ₹315

Now,

4500 - 315 = ₹4185

Thus, The answer is Yes Agreed!

-TheUnknownScientist 72

Answer:

(-2,1)

Step-by-step explanation:

that is where the two graphs intersect

According to the information given, the absolute value inequality that can be used to assess which pens are tolerable is:

[tex]|w - 10| \leq 2[/tex]

The absolute value function measures the distance of a point to the origin, and is defined by:

The weight must be of 10g, with a tolerance of 2g, which means that the absolute value of the difference between the weight w and 10g must be of at most 2g, hence the inequality is:

[tex]|w - 10| \leq 2[/tex]

To learn more about absolute value inequalities, you can take a look at https://brainly.com/question/24005819

Answer:

227 sides

Step-by-step explanation:

The sum of the interior angles of a convex polygon is S=180(n-2) where n is the number of sides. If S=40500, then we have our equation 40500=180(n-2) and we can solve for n:

40500 = 180(n-2)

225 = n-2

227 = n

Therefore, the number of sides in the regular polygon is 227.

Answer:

  10

Step-by-step explanation:

The restriction m < 0 means we can multiply by -7m/2 without changing the direction of the inequality symbol

  [tex]\dfrac{3}{m}\le-\dfrac27\\\\-\dfrac{21}{2}\le m\qquad m<0}[/tex]

Then the solution is the number of negative integer values between -10.5 and 0. There are 10 negative integer values of m that satisfy the inequality.

Answer:

30 minutes

Step-by-step explanation:

Answer:

The Slope is -2

Step-by-step explanation:

The entered points belong to a decreasing, linear function.

Equation: y = -2x + 5.

Answer:

Slope = -2

Step-by-step explanation:

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\left(x_1,\:y_1\right)=\left(-4,\:13\right),\:\left(x_2,\:y_2\right)=\left(8,\:-11\right)\\m=\frac{-11-13}{8-\left(-4\right)}\\\mathrm{Refine}\\m=-2[/tex]

The equation which represents the number of pages Ben reads per minute is p = 0.75m

Given:

6 pages of a book in 8 minutes

9 pages in 12 minutes

30 pages in 40 minutes

Number of minutes = m

Number of pages = p

Pages per minute = 6 pages ÷ 8 minutes

= 6/8

= 0.75 pages per minute

The equation:

p = 0.75m

Therefore, the equation which represents the number of pages Ben reads per minute p = 0.75m

Learn more about ratio:

https://brainly.com/question/16981404

[tex]\dfrac{0.8\times 0.04}{0.5}\\\\\\=\dfrac{\tfrac 8{10} \times \tfrac 4{100}}{\tfrac 5{10}}\\\\\\=\dfrac{\tfrac 45 \times \tfrac 1{25}}{\tfrac 12}\\\\\\= \dfrac 4{125} \times 2\\\\\\=\dfrac 8{125}[/tex]

Answer: 7.5

Step-by-step explanation: hope this help :)

Answer:

7.5

Step-by-step explanation:

hope this help you guys to answer the question

ANSWER: [tex]y=-\frac{3}{4} x +6 <=>3x=24-4y[/tex]

Ok done. Thank to me :>

Using exponential functions, it is found that:

a) Since the amount of caffeine will be less than 50 mg, the patient will be ready for the blood test by 6 a.m.

b) The patient could have ingest 231 milligrams of caffeine.

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

In this problem:

Then:

[tex]A(t) = A(0)(1 - r)^t[/tex]

[tex]A(t) = A(0)(1 - 0.13)^t[/tex]

[tex]A(t) = A(0)(0.87)^t[/tex]

Item a:

The coffee cup contains 150 milligrams of caffeine, hence [tex]A(0) = 150[/tex].

At 6 a.m., it is 8 hours after drinking the coffee, hence we have to find A(8).

[tex]A(t) = A(0)(0.87)^t[/tex]

[tex]A(8) = 150(0.87)^8[/tex]

[tex]A(8) = 49.2[/tex]

Since the amount of caffeine will be less than 50 mg, the patient will be ready for the blood test by 6 a.m.

Item b:

This A(0), considering A(11) = 50, hence:

[tex]50 = A(0)(0.87)^{11}[/tex]

[tex]A(0) = \frac{50}{(0.87)^{11}}[/tex]

[tex]A(0) = 231[/tex]

The patient could have ingest 231 milligrams of caffeine.

A similar problem is given at https://brainly.com/question/25537936

Answer:

d

Step-by-step explanation:

Answer:

[tex]y = -\frac{1}{6}x - 3[/tex]

Step-by-step explanation:

Slope Intercept Form :   [tex]y = mx + b[/tex]

Using our slope, -1/6, input it for m, then plug the point (-6, -2) for x and y

[tex]y = mx+b\\\\-2 = (-1/6)(-6) + b\\\\-2 = 1 + b\\\\b = -3[/tex]

Equation : [tex]y = -\frac{1}{6}x - 3[/tex]

-Chetan K

Answer:

See below:

Step-by-step explanation:

Hello! I hope you are having a nice day!

We can solve this problem in a single step, that is using theory and a bit of algebra/elementary math.

We can start off by looking at the problem. We see that angles UOT and angle TOS both add up to 180 degrees

Since we know this, we can form the equation [tex]<TOS=180-128[/tex]

Therefore, we know that <TOS is 52 degrees.

We can test this by adding up 52 and 128 and we should get 180.

[tex]128+52=180?\\180=180[/tex]

Therefore, [tex]<TOS=52[/tex] degrees.

[tex] \: \: \: \: \: \: [/tex]

[tex] = \frac{1}{9} \\ \\ or \: \: in \: \: alternate \: form \: \: \\ \\ 0.1, {3}^{ - 2} [/tex]

Step-by-step explanation:

[tex] \frac{5}{9} \div 5[/tex]

[tex] \frac{5}{9} \times \frac{1}{5} [/tex]

[tex] = \frac{1}{9} \: \: \\ \\ or \: \: in \: \: alternate \: \: form \\ \\ 0.1, {3}^{ - 2} [/tex]