Identify the form of each equation.
2x + 8y = 5 is in (select)
V
y-9=5(x - 6) is in (select)
V
y = 7x + 6 is in (select)
V
9x - 2y = -6 is in (select)

Answer: [tex]x\in [53,\infty)[/tex]

Step-by-step explanation:

Given

Ade doubles her number and subtract 5 from it. The result cannot be less than 100

Suppose the number is [tex]x[/tex]

According to the question

[tex]\Rightarrow 2x-5\geq100\\\text{Solve the inequality}\\\Rightarrow 2x\geq105\\\Rightarrow x\geq52.5\\\text{for integer number, the range is given by }\\\Rightarrow x\in [53,\infty)[/tex]

Step-by-step explanation:

-6(4v) + -6(9) = 42

-24v - 54 = 42

-24v = 42 + 54

-24v = 96

-v = 96/24

-v = 4

v = -4

Answer:

I think it's -33\24 V

Step-by-step explanation:

bc the equation is -6(4v+9)=42

so you would multiply -6 and 4 to get -24V +9=42

so then you would subtract 9 from both sides to cancel out the 9 and get 33

then take 33 over -24 but that isn't able to be devided so it would stay a fraction

Answer:

3 3/4 tins of food

Step-by-step explanation:

Number of cats = 3

Quantity of food for each cat per day = 1/4 of a tin

Total tins of cat food sue bought = 4 tins

Has Sue bought enough cat food to feed her cats for 5 days?

Quantity of food 3 cats eat per day = Quantity of food for each cat per day × Number of cats

= 1/4 × 3

= 3/4 of a tin

Total Quantity of food 3 cats eat for 5 days = Quantity of food 3 cats eat per day × 5 days

= 3/4 × 5

= (3 * 5) / 4

= 15/4

= 3 3/4 tins of food

Total Quantity of food 3 cats eat for 5 days = 3 3/4 tins of food

Recall,

Total tins of cat food sue bought = 4 tins

Therefore, Sue bought enough cat food to feed her cats for 5 days

Answer:

A. 7

Step-by-step explanation:

3m + 21 = 6m

Move variables to one side to get:

3m + 21 = 6m

-3m         -3m

21 = 3m

Then isolate variable by dividing by 3

21/3 = 3m/3

m = 7

Choice A is the correct answer

Answer:

1. x=72, y=, 108

2.x=30, y=72

Step-by-step explanation:

Brainliest please~

Recall the triple angle identity for cosine:

cos(3x) = cos³(x) - 3 sin²(x) cos(x)

… = cos³(x) - 3 (1 - cos²(x)) cos(x)

… = 4 cos³(x) - 3 cos(x)

and the definition of secant,

sec(x) = 1/cos(x)

So we have

sec(x) cos(3x) = 0

(4 cos³(x) - 3 cos(x))/cos(x) = 0

cos(x) (4 cos²(x) - 3)/cos(x) = 0

If cos(x) ≠ 0 (this happens at the endpoints of the interval [-π/2, π/2]), we can simplify this to

4 cos²(x) - 3 = 0

cos²(x) = 3/4

cos(x) = ±√3/2

But since -π/2 < x < π/2, we know cos(x) > 0, so we ignore the negative case:

cos(x) = √3/2

==>   x = π/6 and x = -π/6

The solution of the given trigonometric equation by using trigonometric identities is [tex]\frac{\pi }{6} \ and \frac{-\pi }{6}[/tex].

Trigonometric Identities are the equalities that involve trigonometry functions and holds true for all the values of variables given in the equation.

[tex]cos(3x) = 4cos^{3}(x) -3cos(x)[/tex]

According to the given question.

We have an equation

[tex]sec(x)cos(3x) = 0[/tex]

Since, the above equation can be written as by using trigonometric identities

[tex]sec(x)cos(3x) = 0\\\implies \frac{1}{cos(x)} (4cos^{3} x-3cos(x))=0[/tex]

Solve the above equation for x.

[tex]\implies 4cos^{2} x -3= 0[/tex]

[tex]\implies 4cos^{2}x = 3\\ \implies cos^{2} x = \frac{3}{4} \\\implies cos x = \sqrt{\frac{3}{4} } \\\implies cos x = \pm\frac{\sqrt{3} }{2}[/tex]

In the given domain [tex][\frac{-\pi }{2}, \frac{\pi }{2} ][/tex] we know that cosx > 0. Therefore, we take only positive part

[tex]\implies cosx = \frac{\sqrt{3} }{2} \\\implies x = cos^{-1} \frac{\sqrt{3} }{2} \\\implies x = \frac{\pi }{6}, and \frac{-\pi }{6}[/tex]

Hence, the solution of the given trigonometric equation by using trigonometric identities is [tex]\frac{\pi }{6} \ and \frac{-\pi }{6}[/tex].

Find out more information about trigonometric identities here:

https://brainly.com/question/12537661

#SPJ2

Step-by-step explanation:

x²+3x+x+3+x²+4x+2x+8

2x²+10x+11....then solve quadratically

Answer:

Step-by-step explanation:

Hello!

(x + 1)(x + 3) + (x + 2)(x + 4)

x*x = x²

x*3 = 3x

1*x = x

1*3=3

x*x=x²

x*4 = 4x

2*x= 2x

2*4 = 8

x²+3x+x+3+ x² + 4x+ 2x+  8=

2x² + 10x+ 11

Answer:

how?

Step-by-step explanation:

i didnt get this question

Answer:

(8,-22)

Step-by-step explanation:

I took the quiz and did my work on paper but the paper got wet and I don't remember the steps I did

Answer:

Let the cost of banana per dozen be Rs. x.

Amount for which bananas are bought = Rs. 840

No. of dozens of bananas for Rs 840  = 840/x

New cost of banana per dozen = Rs. (x + 1)

New No. of dozens of bananas for Rs 840 = 840/x+1

According to given condition,

840/x – 840 / x + 1 = 2

∴ 840[1/x – 1/x+1] = 2

∴ 840 [x+1- x / x(x+1)] = 2

∴ 840 [1/ (x² + x)] = 2

∴ 840 = 2(x² + x)

∴ 2x2 + 2x – 840 = 0

Dividing by 2, we get

x² + x – 420 = 0

x² – 20x + 21x – 420 = 0

∴  x (x – 20) + 21 (x – 20) = 0

∴  x – 20 = 0 or x + 21 = 0

∴  x = 20 or x = –21

∴  The cost of bananas cannot be negative.

∴  x = 20

The original cost of one dozen banana is Rs. 20

hope it helps you

Step-by-step explanation:

Answer:

< EFG

< GFE

Step-by-step explanation:

The letter for the vertex must be in the middle

< EFG

< GFE

<F

Answer:

105

Step-by-step explanation:

Because the lines are parallel, we know that those angles have to add up to 180. so we just do

x+75=180

or 180-75=105

x+75°=180°

x=180°-75°

x=105°

or

180°-75° = 105°

please mark this answer as brainlist

Answer:

Step-by-step explanation:

give four apples to each child because 12/3 is 4

Answer:

91

Step-by-step explanation:

Answer:

=22tcm

Step-by-step explanation:

Perimeter of a circle =πD

But π=t

hence perimeter; = 22tcm

where t=π

Work Shown:

(p+2q)/p = 7/5

(p/p)+(2q/p) = 7/5

1 + 2(q/p) = 7/5

2(q/p) = 7/5 - 1

2(q/p) = 7/5 - 5/5

2(q/p) = (7-5)/5

2(q/p) = 2/5

q/p = (2/5)*(1/2)

q/p = (2*1)/(5*2)

q/p = 1/5

Answer:

q/p = 1/5

Step-by-step explanation:

(p+2q)/p = 7/5

Multiply each side by p

(p+2q)/p *p = 7/5*p

(p+2q) = 7p/5

Multiply each side by 5

(p+2q)*5 = 7p/5 *5

5p + 10q = 7p

Subtract 5p from each side

5p + 10q -5p = 7p -5p

10 q = 2p

divide each side by p

10q/p = 2p/p

10 q/p = 2

Divide each side by 10

q/p = 2/10

q/p = 1/5

Answer:

no

Step-by-step explanation:

the square root of 2 is not rational

Answer:

4

Step-by-step explanation:

f(x) = 16x+12

g(x) = 4x+3

f(x) / g(x) =

Factoring f(x) =4(4x+3)

f(x) /g(x) = 4(4x+3) / (4x+3) = 4

Answer:

69

Step-by-step explanation:

cuz

Answer:

t = -0.22secs and 0.85secs

Step-by-step explanation:

Given the expression

h = –16t² + vt + c.

If a child tosses a ball upward with a starting velocity of 10 ft/s from a height of 3 ft, then;

v = 10, c = 3

Since we are to let h = 0, then the equation becomes:

0 = –16t² + 10t + 3

Multiply through by a minus sign

16t² - 10t - 3 = 0

Factorize the reulting expression:

t = -(-10)±√(-10)²-4(16)(-3)/2(16)

t = 10±√100+192/32

t = 10±√292/32

t = 10±17.09/32

t = 10-17.09/32 and 10+17.09/32

t = -7.09/32 and 27.09/32

t = -0.22secs and 0.85secs

Answer:

0.8 s

Step-by-step explanation:

I got it right in grandpoint.

Step-by-step explanation:

Mark me as the brainliest

Answer:

35

Step-by-step explanation:

Make equations, l = w+5 and 2l + 2w = 150

Substitute w+5 into 2l + 2w = 150

Simplify to get 4w + 10 = 150

Subtract 10 from both sides to get 4w = 140

Divide both sides by 4 and you get 35 as width

Answer:

The width of the field is 35 meters.

Step-by-step explanation:

Recall that the perimeter of a rectangle is given by:

[tex]\displaystyle P = 2(w+\ell)[/tex]

Where w is the width and l is the length of the rectangle.

We know that the perimeter is 150 meters. Thus:

[tex]150=2(w+\ell)[/tex]

Divide both sides by two:

[tex]75=w+\ell[/tex]

We are given that the length is five meters longer than the width. So:

[tex]\ell = w+5[/tex]

Substitute:

[tex]75=w+(w+5)[/tex]

Combine like terms:

[tex]75=2w+5[/tex]

Subtract five from both sides:

[tex]70=2w[/tex]

And divide both sides by two. Hence:

[tex]w=35[/tex]

Thus, the width of the rectangular field is 35 meters.

Step-by-step explanation:

what does P mean ?

I assume it is perimeter ?

what is the perimeter of a square ?

come on, there is practically nothing in math that is easier to solve.

a square has 4 equal sides.

so, to go one time around the whole square, we have to go along every one of its 4 sides (which are all of equal length).

so, when I get the perimeter number, I know this is the result of all 4 sides added together.

and how can we express having 4 times the same number ? exactly how we say it in English : 4 times the number.

therefore

P = 4 × side length

and from there we can immediately deduct

side length = P / 4 = 3/4 in

now we know how long the sides of the square are.

what is the area of the square ?

like for any rectangle the area is length×width. just that length=width, so that we end up with length×length = length².

therefore, the area is

3/4 × 3/4 = (3/4)² = 9/16 in²

this is important : a length is measured e.g. in inches (in). an area is then measured in square-inches = in²

Answer: 2.54647909 or 2.55

Step-by-step explanation:

radius=C/2π

r=16/2π

r=16/6.2831853071796

r=2.54647909

Answer:

4x^4 + 6x^3 + 5x + 4 poly means many ....polynomial

x^2 + 1 ... two parts bi-nomial

ax^2 + bx + c ... three parts tri-nomial

3x^2y^3 ... one part  monomial

Step-by-step explanation:

Answer:

x is any number

y depends on x value

Answer:

trure correct

ok must of luck

Answer:

-i

Step-by-step explanation:

i =i

i^2=-1

i^3= -i

i^4=1

i^5=1

Answer:

24°

Step-by-step explanation:

cos ? = 41/45

? = arccos 41/45

? = 24

Answered by GAUTHMATH

Answer:

7 - 2c < - 30

*To do this equation you would have to start with -30, because of "less than"

Hope this helps.