2. Solve the equation for x.
14 - x = 5x - 4

Answer: Asley is faster than Austin.

Step-by-step explanation:

Given: Austin swam 1.4 laps each minute.

Asley's sister can swim 9 laps in 6 minutes.

i.e. the number of laps she can swim in each minute = [tex]\dfrac96 = 1.5[/tex]

1.5 > 1.4, i.e. Asley swim more laps than Austin in a minute.

Hence, Asley is faster than Austin.

In mintues per lap, speed of Austin = [tex]\dfrac1{1.4}=0.71\text{ minute per lap}[/tex]

Speed of Ashley = [tex]\dfrac{6}{9}=0.67\text{ minute per lap}[/tex]

Ashley took lesser time then austin per lap.

Hence, Ashley is faster than Austin.

Answer:

correct and incorect

Step-by-step explanation:

1=3

2=6

3=9

11=?

3=9

11=x

x=9*11/3

x=33

9514 1404 393

Answer:

  A(x) = x(280 -x)

Step-by-step explanation:

The perimeter is given by the formula ...

  P = 2(L +W)

Using the given values, we can solve for the length of the rectangle:

  560 = 2(L +x)

  280 = L +x

  280 -x = L

The area is the product of length and width, so the area is ...

  A = LW

  A(x) = (280 -x)x

Answer:

f(n) = 2.8n + 0.7

Step-by-step explanation:

The form of the linear function is f(x) = m x + b, where

Let us solve the question

∵ The rule of the arithmetic sequence is a[tex]_{n}[/tex] = 3.5 + 2.8(n - 1), where

→ To write it as a function replace a[tex]_{n}[/tex] by f(n)

∵ a[tex]_{n}[/tex] = f(n)

∴ f(n) = 3.5 + 2.8(n - 1)

→ Simplify the right side to make it in the form of the function above

∵ f(n) = 3.5 + 2.8(n) + 2.8(-1)

→ Remember (+)(-) = (-)

∴ f(n) = 3.5 + 2.8n - 2.8

→ Add the like terms in the right side

∵ f(n) = 2.8n + (3.5 - 2.8)

∴ f(n) = 2.8n + 0.7

Answer:

y=58°

Step-by-step explanation:

calculator

9514 1404 393

Answer:

Step-by-step explanation:

The limit of any polynomial function at a point is the value of the polynomial at that point. A polynomial is defined and continuous for all values of the independent variable.

The limit of a rational function at a "hole" is the value of the simplified function at that point.

1a) lim = 4+3+2-2 = 7

1b) lim = (3)(-3)(3) = -27

1c) lim = 3^2+9 = 18

1d) lim = (x+4) = 4+4 = 8

1e) lim = 3x+1 = 3(1/3) +1 = 2

1f) lim = x^2/x^2 = 1

_____

The expressions of (e) and (f) can be simplified by factoring the difference of squares: a^2 -b^2 = (a -b)(a +b). In each case, one of the factors cancels the one in the denominator, so the remaining function can be evaluated at the limit point.

As x approaches infinity, the only terms of a rational expression that matter are those of the highest degree in numerator and denominator. (There's a little more to it if the numerator has a higher degree than the denominator.)

Answer:

The answer is "Option C".

Step-by-step explanation:

Please find the correct question in the attached file.

[tex]\to 1 \frac{2}{5} = \frac{7}{5} \\\\let \\ \to \frac{7}{5} =1.4\\\\\to \frac{2}{5}= 0.4\\\\\to 1.4- 0.4\\\\ \to 1\\[/tex]

Its outcome is 1.4 if we subtract from 0.4. However, a fraction of less than 2/5 may be deducted. This means that the outcome still exceeds 1, that's why choice C is correct.

Answer:

i will help plz put the question here copy it so i can help u

Step-by-step explanation:

Answer:

I don't see any attachement or a picture or anything

Step-by-step explanation:

The answer is D

Answer:2/10, 3/15, 4/20,

Step-by-step explanation:

Answer:

2/10,3/15,4/20

Step-by-step explanation:

i hope it was helpful

The series 1 + 3 + 9 + 27 is a geometric series because the common ratio is 3 option second is correct.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

As we know, the geometric series has a common ratio:

If a, b, c, d, e.....

is in the GP then,

b/a  =  c/b  =  d/c = and so on

We have a series:

0.1 + 0.3 + 0.5 + 0.7

0.3/0.1 ≠ 0.5/0.3

The above sequence is not a geometric series.

1 + 3 + 9 + 27

3/1  =  9/3  = 3

The above sequence is a geometric series.

19 + 17 + 15 + 13

17/19  ≠  15/17

The above sequence is not a geometric series.

0.4 + 0.9 + 1.5 + 2.2

0.9/0.4  ≠  1.5/0.9

The above sequence is not a geometric series.

Thus, the series 1 + 3 + 9 + 27 is a geometric series because the common ratio is 3 option second is correct.

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ2

Answer:

28.6 inches

Step-by-step explanation:

3 percent of 52 is 1.56 so it is melting at a rate of 1.56 inches per minute

15x1.56 is 23.4

52-23.4=28.6 so after 15 minutes the sculpture will be only 28.6 inches tall

Answer:

C

Step-by-step explanation:

C: x + y = -4

Answer:

C. x+y=-4

Step-by-step explanation:

In slope intercept form y=mx+b it would be y=-1x-4 which is the equation of the line

Answer:

30ft

Step-by-step explanation:

Don't worry I just know

Answer:

300 cubic Inches

Step-by-step explanation:

Since idendtiacls we really only need to solve one of them

so to find a volume of a triangular prism

I’d just find the base and multiply but the lenght or height

SO in this case the base is 6*5/2 so 15

Now there 10 of those 15 in bases

SO multiply to find total

10*15=150

Now 150*2 becuase the bottome one is basically the same so that’d give you 300

Answer:

I believe david lives 34 units away from the school. I cannot see Owen's house. It may be cut off.

Step-by-step explanation:

Answer:

Step-by-step explanation: 25.5

Answer: Choice C.  [tex]y \ge -1[/tex]

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

Explanation:

The boundary line is a solid line and it's horizontal. Every point on the boundary line has y coordinate -1. So y = -1 is the equation of the boundary line. We can write it as y = 0x-1.

The shading is above the boundary line, so the inequality is [tex]y \ge -1[/tex]

Any point (x,y) in the shaded region has y coordinate that is y = -1 or greater.

For example, the point (0,2) in the shaded region has y coordinate y = 2, and it satisfies the inequality [tex]y \ge -1[/tex] because [tex]2 \ge -1[/tex] is a true statement.

Note: the boundary line is solid, so any point on the boundary line is part of the shaded solution set. This is due to the "or equal to" as part of the inequality sign.

Answer:

2 (l+b)= 70

2(l+13)=70

2l+26=70

2l= 44

l=22

Step-by-step explanation:

Hope this helps!!!

Step-by-step explanation:

I don't know what you need to do. Have you studied the quiz or more specific have you studied the questions that you have problems with? Also make sure you have enough sleep and have healthy food. You don't have to do read what I say(type) but it could help you.

Answer:

yeah, Geometry is not that easy. I struggled a bit in Geometry, too. You have to study a lot. Im an Algebra person im good with equations. Geometry has to many rules and theorems and other stuff you need to remember. Try studying. If you Need help you can comment for help and i will try to help you with what i can.  Im in 10th grade but i have Algebra 2. Also, i have a Geometry book with other stuff, etc... I'll be glad to help you if i can.

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

A fourth degree function is defined as a function with a multiplicity of four. This can be done with any number distinct roots less than or equal to four. If the three distinct roots given must be the only roots, we can choose any of the roots to square and make the function a fourth degree polynomial. Otherwise, we can add another root to make a fourth degree polynomial. Either way, it's possible.

Answer:

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = -¹/₂

(2, 3)    ⇒   x₀ = 2,  y₀ = 3

The point-slope form of the equation:

y - 3 = -¹/₂ (x - 2)

So:

y - 3 = -¹/₂ x + 1         {add 3 to both sides}

y = -¹/₂ x + 4            ←  the slope-intercept form of the equation

Answer:

X = 10 or scale factor is 2.5

Step-by-step explanation:

first look at the scale factor going from 4 to 10, to get from 4 to 10 you would need to multiply 4 by 2.5. Since this problem doesnt give us the smaller scale factor first we need to divide 25 by 2.5 which equals 10.

Answer:

-9≤y≤0

Step-by-step explanation:

-4≤x≤4 DOMAIN

-9≤y≤0 RANGE

I'm pretty sure this is correct but I haven't done it in a while