What are the slope and y-intercept of the linear function graphed to the left?

Solve 3x + 5 ⩾ x + 17

Ugo [173]

Answer:

Step-by-step explanation:

Simplifying

3x + 5 = x + 17

Reorder the terms:

5 + 3x = x + 17

Reorder the terms:

5 + 3x = 17 + x

Solving

5 + 3x = 17 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.

5 + 3x + -1x = 17 + x + -1x

Combine like terms: 3x + -1x = 2x

5 + 2x = 17 + x + -1x

Combine like terms: x + -1x = 0

5 + 2x = 17 + 0

5 + 2x = 17

Add '-5' to each side of the equation.

5 + -5 + 2x = 17 + -5

Combine like terms: 5 + -5 = 0

0 + 2x = 17 + -5

2x = 17 + -5

Combine like terms: 17 + -5 = 12

2x = 12

Divide each side by '2'.

x = 6

Simplifying

x = 6

5 0

3 years ago

A mega-discount chain store just opened a new clothing store in town emphasizing mainly women's clothing. Before opening, man

Georgia [21]

Answer:

a) Cluster sampling

Step-by-step explanation:

Since here the population is divided into many groups (cluster) and one of these groups is taken as a sample. This type of sampling is called Cluster Sampling.

Further,

In Cluster Sampling the population is distributed into a distinct group called cluster and clusters are chosen as a sample then it is Cluster Sampling.

Multistage Sampling is a complex form of Cluster Sampling. In this sampling population is divided into a different group then one or more groups are randomly selected then again that selected group is divided into a different small group and again one or more these small groups are randomly selected as sample. This process is done many times.

If the sampling is done by any criteria then this type of sampling method is called Systematic Sampling. Like observer is taken every 5th unit as a sample.

If the whole population is divided into many groups(strata) such that between the group units are heterogeneous and within the group units are homogeneous then units are randomly selected from these groups. This type of sampling is called Stratified Sampling.

7 0

3 years ago

The staff dietician at the California Institute of Trigonometry has to make up a meal with 600 calories, 20 grams of protein, an

Arlecino [84]

Answer:

The amount of rubbery jello=5.038 ounce

Dried fish stick = 4.886 ounce

Mystery meat = 1.526 ounce.

Step-by-step explanation:

Solutions/Explanation: (a) Suppose the amount of rubbery jello = $x$ ounce,

The dried fish sticks amount to be = $y$ ounce

The amount of mystery meat = ounce.

Specification of the ingredients

Rubbery jello has: Calories=10 Cal/ounce, Protien=1 gram/ounce, Vitamin C= 30 mg/ounce

Dried fish sticks: Calories=50 Cal/ounce, Protien=3 grams/ounce, Vitamin C=10 mg/ounce

Mystery meat: Calories=200 Cal/ounce, Protien=0.2 gram/ounce, Vitamin C=0 mg/ounce,

Now,

Total calories = $600$ .

Thus,

$10x+50y+200z=600\quad\Idot (1)$

The, total Protien = $20 g$ .

Thus,

$x+3y+0.2z=20 \quad\Idot (2)$

also, total Vitamin C = .

Thus,

$30x+10y+0z=200 \quad\Idot (3)$

Therefore,

1, 2 and 3 are the mathematical models of the dietician's problem with a system of three linear equations.

(b) Now, we know three equations:

$10x+50y+200z=600$

OR

$x+5y+20=60 \quad\Idot (4)$

From eqn 2,

$x+3y+0.2z=20 \quad\Idot (5)$

From eqn 3.

$30x+10y=200$

OR

$3x+y=20 \quad\Idot (6)$

On solving the eqn 4, 5 and 6 for $x, y$ and $z,$

Multiplying eqn 5 by 100,

$100x+300y+20z=2000 \quad\Idot (7)$

Now, subtract eqn 4 from eqn 7

$99x+295y=1940 \quad\Idot (8)$

Now, multiplying eqn 6 by 295. we have,

$885x+295y=5900 \quad\Idot (9)$

Now, subtract, eqn 8 from eqn 9, we get,

$786x=3960$

$x=\frac{3960}{786}$

$x=5.038 \quad\Idot (10)$

Now, substituting into eqn 6, we get

$y=4.886 \quad\Idot (11)$

Now, substitute eqn 10 and 11 into eqn 4, we have

$z=1.526$

4 0

3 years ago

Matthew invested $5,300 in an account paying an interest rate of 2.1% compounded annually. Assuming no deposits or withdrawals a

Mariulka [41]

Answer: it would be 6

Step-by-step explanation

Delta math

6 0

3 years ago

Read 2 more answers

Write the following as an algebraic expression. Then simplify.

Romashka [77]

Answer: A. 7x + 3

Concept:

Here, we need to know how to find the perimeter of a triangle

Perimeter (triangle) = s₁ + s₂ + s₃

s₁ = side one

s₂ = side two

s₃ = side three

Solve:

Given information

s₁ = 3x

s₂ = 3x + 3

s₃ = x

Given expression

P = s₁ + s₂ + s₃

Substitute values into the expression

P = (3x) + (3x + 3) + (x)

Combine like terms

P = (3x + 3x + x) + (3)

P = (6x + x) + 3

$\boxed{P_{triangle}=7x+3}$

Hope this helps!! :)

Please let me know if you have any questions

3 0

3 years ago