Please help thank you so mcuh

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Explanation:

2x + 4y < 16 solves to y < -0.5x+4 when you isolate y. The inequality sign does not change direction because we divided both sides by a positive value (in this case, 4).

The graph of y < -0.5x+4 will be the same as the graph of 2x+4y < 16

To graph y < -0.5x+4, we graph y = -0.5x+4 which is a straight line that goes through the two points (0,4) and (2, 3). This is the boundary line of the inequality shaded region. The boundary line is a dashed line because we are not including points on the boundary that are part of the solution set. We only include these boundary points if the inequality sign has "or equal to".

We then shade below the dashed boundary line to indicate points below the boundary line. The shading is done downward due to the "less than" sign.

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Perhaps another method to find what direction we shade is we can try out a point like (0,0). The point cannot be on the boundary line.

Plug those coordinates into either equation. I'll pick the second equation

y < -0.5x+4

0 < -0.5*0+4

0 < 0+4

0 < 4

The last inequality is true, so the first inequality is also true when (x,y) = (0,0). Therefore, the point (0,0) is in the shaded region. The point (0,0) is below the boundary line y = -0.5x+4

So this is another way to see that the shaded region is below the boundary line.

Answer:

X=7 X=-1

Step-by-step explanation:

4(x^2 -6x -7) you saw that the common denominator was 4 so you divided everything by it.

(X-7)(X+1) Two numbers that multiplied give-7 and added -6 are those

X=7 X=1 equating those parenthesis to 0 gives you that

x-int=-5, y-int=5 and vertex is at (-3,-3)

Answer:

1

Step-by-step explanation:

The range is the difference between the largest and smallest values.

range = 9 - 2 = 7

If 2 is replaced by 3 then 3 becomes the smallest value and

range = 9 - 3 = 6

That is the range decreases by 1

Answer:

The possible original values of both products are ₹2 or ₹1

Step-by-step explanation:

The question is a word problem leading to simultaneous equations

Let 'x' represent the initial value of the pen and pencil

Therefore;

The final cost of the pen = x + ₹4

The final cost of the pencil = 5·x - ₹6

x + ₹4 > 5·x - ₹6

∴  ₹4 + ₹6 > 5·x - x

₹10 > 4x

₹10/4 > x

₹2.5 > x

Given that x is a natural number, therefore

x ≤ ₹2

The possible original values of both products are ₹2 or ₹1

The possible original value of both products is ₹ 1 and  ₹ 2.

The question is a word problem

Let x represent the initial cost of the pen and pencil since they were initially the same price.

When the costs of the pen was increased by ₹4, its new price is x' = x + 4.

Also, the cost of pencil became ₹6 less than 5 times its original value. So, the new price of the pencil is x" = 5x - 6.

After the revised cost, if the pen was more expensive than the pencil, then we have x' > x".

So, x + 4 > 5x - 6

x - 5x > - 4 - 6

-4x > - 10

x < -10/-4

x < 2.5

Since the initial price of the both products was a natural number, the two natural number less than 2.5 are 1 and 2.

So, the possible original value of both products is ₹ 1 and  ₹ 2.

Learn more about word problems here:

https://brainly.com/question/25693822

Answer:

89.8 feet

Step-by-step explanation:

In ΔBCD, the measure of ∠D=90°, the measure of ∠B=75°, and DB = 93 feet. Find the length of BC to the nearest tenth of a foot.

We would solve the above question using Sine rule

The formula is given as:

DB/sin D = BC/sin B

93/sin 90 = BC/sin 75

We cross multiply

sin 90 × BC = 93 × sin 75

BC = 93 × sin 75/sin 90

BC = 89.83 feet

Approximately BC = 89.8 feet

Answer:

Ill be back let me solve it

Step-by-step explanation:

Answer :

Hey there! I'm happy to help!

To find the area of a triangle you multiply the base by the height.

We see that our base is 5 units long because it stretches from -6 to -1 on the coordinate plane. Our height is 8 because the y value goes from 3 to -5.

To find the area of a triangle, you just multiply the base by the height then divide by 2.

5(8)=40

40/2=20

The area is 20 square units.

Have a wonderful day! :D

Is This What You Triangle Looks Like?

Step-by-step explanation:

let the width = y

the length =y-10

area of rectangle=length ×breadth

171 =y-10×y

171=y^2-10y

it turns into quadratic equation

y^2-10y+171=0

cant be solved by factorization therefore use general formula

y=-b+or-√(b^2-4ab)/2a

a=1 (coefficient of y^2) ,b=-10 , c=171

y=--10+or-√{10^2-4(1)(10)}\2(1)

y=10+or-√{100-40}\2

y=10+or-√60/2

y=10+or-(7.74/2)

y=10+3.87

y=13.87cm

OR

y=10-3.87

y=6.13cm

if y=13.87 then width is 13.87&length is 13.87-10

=3.87

OR

if y=6.13 then width is 6.13&length is 6.13-10=-3.87

Answer:

y=x+2

Step-by-step explanation:

if you are looking for the equation, you can use point-slope formula because you are given the slope and a point that runs through the line. so...

(y-y1) = m (x-x1)

(y-4) = 1(x-2)

solve and add 4 onto both sides and multiply 1 by (x-2) which equals itself and then ad -2+4 to get 2

Answer:

25 y 3−15 y 2−10 y ... 25y3 - 15y2 - 10y = 5y • (5y2 - 3y - 2) ... 5y • (y-1) Add up the last 2 terms, pulling out common factors : 2 • (y-1

Answer:

$4

Step-by-step explanation:

The equation for direct proportionality =

y = bx

where y = dependent variable

b = constant

x = independent variable

There is positive proportionality is two variables are positively related to each other.

In this question, price of lunches is the dependent variable while number of lunches is the independent variable

$16 = b4

Divide both sides by 4 to find b

b = $4

Answer:

The slope represents the number of cookies sold for each dollar.

Answer: it is C

Step-by-step explanation: each point is a number boxes sold and some profit

Answer:

uhhhhhhhhh

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

[tex] {x}^{2} + 10 \\ = {5}^{2} + 10 \\ = 25 + 10 \\ = 35[/tex]

This is your answer :)

Answer: 30 and 110,

55 and 85,

70 and 70

Step-by-step explanation:

B, C, E

Answer:

m= 16

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

The answer is 9.

1.75 - 0.4 = 1.35

1.35 ÷ 0.15 = 9

Hey there!

4x^2 - 121 + 5 = 0

COMBINE your LIKE TERMS

(4x^2) (-121 + 5) = (0)

(-121 + 5) = -116

New equation: 4x^2 - 116 = 0

ADD 116 to BOTH SIDES

4x^2 - 116 + 116 = 0 + 116

Cancel out: -116 + 116 because that gives you 0

Keep: 0 + 116 because that helps you solve for x

0 + 116 = 116

New equation: 4x^2 = 116

DIVIDE 4 to both sides

4x^2/4 = 116/4

Cancel out: 4/4 because that gives you 1

Keep: 116/4 because that helps you solve for x

Equation: x^2 = ± 116/4

116/4 = 29

Answer: x = √29 OR x = √-29

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

Here are your Explanations

Step 1

4x2 – 121 + 5 = 0  obsere the questions

Step 2

4x2 – 121 + 5 = 0  Simplify

4x2−116=0

Step 3

4x2−116=0  Add 116 to the sides

4x2=116

Step 4

4x2=116  Divide the sides by 4

x=29  Then you take the square root

Answer : sqrt29 or -sqrt29

Answer:

1)2.83

2)-5.74

3)4.16

I hope this help

Answer:

The half life is 14.4 seconds because the half life is the time it takes for half of a sample to decay.

Hope this helps!

Answer:

$180.806

Step-by-step explanation:

The computation of the total amount paid for the trip is shown below;

As we know that

Simple interest = Principal × rate of interest × time period

= (67.70 + 62.34 + 45.50) × 12% × 3 months ÷ 12 months

= 5.2662

Now the amount is

= Principal + simple interest

= 175.54 + 5.2662

= $180.806

Answer:

5256620310414725120

___________________

Hope this helps

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Answer: $800.

Step-by-step explanation:

To find the income tax of $20,000 simply multiply 20,000 by the decimal of 4%.

20,000 x 0.04 = 800

Answer:

y=1/6x+4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(4-3)/(0-(-6))

m=1/(0+6)

m=1/6

y-y1=m(x-x1)

y-3=1/6(x-(-6)(

y-3=1/6(x+6)

y=1/6x+6/6+3

y=1/6x+1+3

y=1/6x+4