Reduce any fractions to lowest terms.Don’t round your answer, and don’t use mixed fractions

12t-2<-5t+36

Answer:

1

Step-by-step explanation:

a pair of coordinates defines a first number x, and as second number y (or the functional result).

so, we need to find the value of x that leads to 2 as functional result.

2 = x² + 1

1 = x²

x = 1

Answer:

15

The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30

The factors of 45 are: 1, 3, 5, 9, 15, 45

The factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Then the greatest common factor is 15.

Answer:

144 cm²

Step-by-step explanation:

This figure is formed by rectangles and triangles, so we need to find the surface area of they and add all to have the surface area of the figure:

area of the rectangles:

4×3 = 12, and there are two of these rectangles

6×3 = 18, and there are just one of that

4×6 = 24, and there are two of these

5×3 = 15, and there are two of these

Now the area of a triangle:

6×4/2 = 12, and there are two of these

12×2 + 18 + 24×2 + 15×2 + 12×2 = 144 cm²

Answer:

Step-by-step explanation:

(x+3)² -5 =0 , use the formula (a+b) ² = a²+b²+2ab

x²+9 +6x -5 =0 , combine like terms

x²+6x +4 =0, use the quadratic formula x = (-b±√b²-4ac)/2a

x= (-6 ±√6²-4*1*4)/2*1

x= (-6 ± √36-16) /2

x= (-6±√20)/2

x=(-6 +2√5)/2 and x=( -6-2√5) /2, factor 2 in the numerator and simplify

x= -3 +√5 and x= -3 -√5

Twice means muliply by 2

The difference of a number and 7 means subtract a number/variable and 7

Is equal to 9 means =9

2(X - 7) = 9

Answer:

x value is 7

the answer is 7

Answer:

h=2.142

Step-by-step explanation:

Area of triangle(a)=1/2 b* h

Area of scalene traingle(a)=√s(s-a)(s-b)(s-c)

Semi perimeter(s)=(a+b+c)/2=(6+10+14)/2=15 yd

√s(s-a)(s-b)(s-c)=√15(15-6)(15-10)(15-14)=√15*9*5*1=√225=15 yd

Area of triangle(a)=1/2 b* h

15*2=14*h

30/14=h

h=2.142

You dont have any of those options so it might a mistake.

Answer:

No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results cannot be used to verify the cause of such a difference.  

Hence the correct option is option A.

9514 1404 393

Answer:

  3x -2y +11 = 0

Step-by-step explanation:

The equation of the line perpendicular to ax+by=c through point (h, k) can be written as ...

  b(x -h) -a(y -k) = 0

Simplifying this will put it in general form.

__

You have a=2, b=3, (h, k) = (-1, 4), so your equation is ...

  3(x +1) -2(y -4) = 0 . . . . fill in the values

  3x -2y +11 = 0 . . . . . . . simplify

Answer:

The restrictions are x≠2,4,5

Step-by-step explanation:

First the denominators cannot be zero

x-2 ≠0  so x≠2

Then x-4 ≠0  so x≠4

Also, since we are dividing, when we flip the second expression, the numerator becomes the denominator, so it cannot be zero

2x-10≠0

2x≠10

x≠5

The restrictions are x≠2,4,5

Answer:

25/81 is already in the simplest form. It can be written as 0.308642 in decimal form (rounded to 6 decimal places).

Answer:

Domain is the whole R and the range is R+. The domain is continuous

Step-by-step explanation:

[tex]hope \: its \: helful[/tex]

if cos7x - cos8x/1 + 2cos5x = cos(ax) - cos(bx), where a, b are positive integers, then a²+b²= 100.

The given equation is:

cos7x - cos8x/1 + 2cos5x = cos(ax) - cos(bx)

The LHS can be expanded as follows:

cos7x - cos8x/1 + 2cos5x = (2*cos4x*sin3x)/(2*cos2x) = sin3x

The RHS can be expanded as follows:

cos(ax) - cos(bx) = -2sin((a + b)/2)*sin((a - b)/2)

For the given equation to be true, the following must be true:

sin3x = -2sin((a + b)/2)*sin((a - b)/2)

3x = 180(a + b)/2

3x = 180(a - b)/2

Solving for a and b, we get a=6 and b=3.

Therefore, a² + b² = 6² + 3²=100.

To learn more about positive integers, here

https://brainly.com/question/26051073

#SPJ2

Answer:

x^2 - 9

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

x^2 - 4

Step-by-step explanation:

x+3        x-3

------ * -----------

x+2       x-2

Notice that the numerator is the difference of squares and the denominator is the difference of squares

(a+b)(a-b) = a^2 - b^2

(x^2 - 3^2)

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

x^2 - 2^2

x^2 - 9

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

x^2 - 4

Answer:

A...

the parts of theis problem are "special factors" or conjugates

(a+b) (a-b) = a^2 - b^2

you have two of those (x+3)(x-3) = x^2-9

and (x+2)(x-2) = x^2 -4

Step-by-step explanation:

Answer:

3.25 minutes

Step-by-step explanation:

3.25 minutes per green light x 24 = 78

the yellow light is a given, hence 6 cars pass through

78 + 6 = 84 cars

The two consecutive years in which there is the largest increase in the median income is option B i.e. 1997-1998.

Given that

So after analysis, we can conclude that The two consecutive years in which there is the largest increase in the median income is option B i.e. 1997-1998.

Learn more about the bar graph here: brainly.com/question/14894834

Answer:

A=2(wl+hl+hw)

A=2(6ft×7ft+6ft×7ft+6ft×6ft)

A=2(42ft²+42ft²+36ft²)

A=2(120ft²)

A=240ft²

Step-by-step explanation:

Step-by-step explanation:

A1= 3.5×9=31.5

A2=2×2=4

A3=(1/2) × 5×2=5

A4= (1/2)×2×2=2

At=A1+A2+A3+A4

At= 31.5+4+5+2

At=42.5

Answer:

6-2x

Step-by-step explanation:

six less than (subtraction) twice a number. 2 times a number x

Answer: d. He multiplied when he was supposed to divide

Step-by-step explanation:

He just multiplied across when he was supposed to divide (or cross multiply) to find the unit rate :)

Answer:

7

Step-by-step explanation:

We know that a^b^c = a^(b*c)

7 ^ 1/5 ^ 5

7^ (1/5*5)

7^1

7

Answer:

y = -1/11

Step-by-step explanation:

-10y= y+ 1

-11y = 1

y = -1/11

[tex]\\ \sf\longmapsto -10y=y+1[/tex]

[tex]\\ \sf\longmapsto -10y-y=1[/tex]

[tex]\\ \sf\longmapsto -11y=1[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{1}{-11}[/tex]

Answer:

y = 5x

In the coordinate (3, 3), the first number is the x value and the second number is the y value.

So, does 3 = 5(3).

The answer is no, so this coordinate does not make the equation true.

Let me know if this helps!

Answer: No, the given point does not make the equation true.

===========================================================

Explanation:

There are three different ways to approach this.

One way is to plug x = 3 into the equation to find that

y = 5x

y = 5*3

y = 15

But that doesn't match up with y = 3 from the point (3,3). So we see that (3,3) is not a solution to y = 5x.

------

Or another method we could do is plug x = 3 and y = 3 to find a contradiction

y = 5x

3 = 5*3

3 = 15

The contradiction being that 3 on the left side doesn't match with 15 on the right side. The false equation at the end means y = 5x is false for (x,y) = (3,3), and therefore this point is not a solution to y = 5x.

------

The third method involves graphing the line y = 5x. You can see that (3,3) is not on the line, which visually confirms the results of the previous two sections. So for a point to be a solution, it must be on the line.

Answer:

option A

Step-by-step explanation:

when there is an open circle, that means Less than or equal to.

if and when there is a Closed, colored Circle, It's Greater than or equal to or less than or equal to

Answer:

524

Step-by-step explanation:

First find the number we want to find

532 - 308 = 224

Set blank -300 equal to the number

blank - 300 = 224

Add 300 to each side

blank -300+300 = 224+300

blank = 524

Answer:

42.475; approximately (42.48)

Step-by-step explanation:

So, first you would need to divide 16.99 by the 20 pounds and then multiply that by the 50 pounds which should give you your total answer. it should look like this:

16.99 divided  by 20= 0.8495

0.8495 times 50= 42.475; approximately (42.48)

Hope this helps you out!!! :)

Answer:

C

Step-by-step explanation:

As n → ∞

[tex]\frac{85}{n}[/tex] , [tex]\frac{75}{2n}[/tex] , [tex]\frac{15}{2n^2}[/tex] → 0

Then

15 - 35 - 0 + 55 + 0 + 0

= - 20 + 55

= 35 → C

Answer:

6m

Step-by-step explanation:

The ratio of the length and the breadth of rectangle=2:1

Let length be 2x, then breadth = x

Now,

Length(l)=12 m

or,2x=12m

or,x=6m

x=breadth=6m

Answer:  Choice A)  -3

Work Shown:

[tex]\log_{2}(x+7) = 2\\\\x+7 = 2^2\\\\x+7 = 4\\\\x = 4-7\\\\x = -3\\\\[/tex]

Which leads us to choice A. In the second step, I used the rule that [tex]\log_b(y) = x[/tex] is equivalent to [tex]y = b^x[/tex]. For each equation, the b is the base. Note how logs undo exponents and vice versa.

Answer:

-3

Step-by-step explanation:

log2(x+7) = 2​

Raise each side by base 2

2^log2(x+7) = 2^2​

x+7 = 4

Subtract 7 from each side

x+7-7 = 4-7

x=-3