a square has a length of 6 ft use an exponent to express its area and evaluate

Answer:

2

y = -0.5x + 10.5

Step-by-step explanation:

put a negative sign and 1 on top of the number next to the x to get the line thats perpendicular

2

y = -0.5x + 10.5

Answer:

(-1, -9/2) minimum true

1/2 (x+1)^2 -9/2 is the vertex form  false

the axis of symmetry is at the x value of the vertex  x=-1  false

The parabola opens up since the x^2 coefficient is positive false

x=-4    x=2  true

Step-by-step explanation:

f(x) = 1/2x^2 +x - 4

Factor out 1/2

f(x) = 1/2 (x^2 +2x - 8)

Factor

f(x) = 1/2 ( x+4)(x-2)

Finding the zeros

0= 1/2 ( x+4)(x-2)

Using the zero product property

x+4 = 0   x-2=0

x=-4    x=2

The vertex is 1/2 way between the zeros

(-4+2)/2 = -2/2 = -1

f(-1) = 1/2 (-1+4) (-1-2) = 1/2(3)(-3) =-9/2

The vertex is (-1, -9/2)

The parabola opens up since the x^2 coefficient is positive so this is the minimum

f(x) = 1/2 (x+1)^2 -9/2 is the vertex form

the axis of symmetry is at the x value of the vertex  x=-1

Answer:

$785.17

Step-by-step explanation:

Given data

PV is the loan amount

PMT is the monthly payment

i is the interest rate per month in decimal form (interest rate percentage divided by 12)

n is the number of months (term of the loan in months)

PMT =$700

n = 10 years

i = 0.89%

The formula for the loan amount is

Answer:

The top system of equations has one solution, the middle system has infinitely many, and the bottom system has no solution.

Step-by-step explanation:

We can immediately see the top system has one solution because the two equations have different slopes.

For the middle system, we can rearrange terms and multiply by 3 to get that the equations are the same line, so there are infinitely many solutions.

Finally, we can move the -2x to the other side in the first equation of the bottom system to get 2x+y=5. But it also equals -7 from the second equation! This is impossible, so there are no solutions to the bottom system.

Answer:

Step-by-step explanation:

First we are going to set up our general equation (what is being asked of us). Marina bought pears, pineapples, and kiwis and spent $13.50 on them. The equation for that is

pi + pe + k = 13.5

Now we need to figure out how to eliminate most of those unknowns and put 2 of them in terms of the other 1. It looks like everything is based on the number of pineapples she bought. First it says she bought 9 more pears than pineapples, so obviously, there are more pears than pineapple, so

pe = pi + 9

And if she bought 2 fewer than kiwis thatn pears, and pears = pi + 9, then the number of kiwis she bought was

kiwis = (pi + 9) - 2 which simplifies down to pi + 7.

Now we'll put all of those into the equation:

pi + (pi + 9) + (pi + 7) = 13.5 What I have done is create an equation that is not parallel. In other words, I have the NUMBER of the kinds of fruit on one side of the equation, and the COST of the fruit on the other side, and that's not cool. We have to have EITHER a NUMBER of fruit equation OR a COST of fruit equation, but not both in the same equation. To amend that, we will figure in the cost of each of these kinds of fruit by the correcpsonding number of that kind of fruit. Pineapples cost $1.50 each, so the expression for pineapples is 1.5pi; pears cost $.50 each, so the expression for pears is.5(pi + 9); kiwis cost $.30 each, so the expression for kiwis is .3(pi + 7). NOW we can set up the equation:

1.5pi + .5(pi + 9) + .3(pi + 7) = 13.5 and simplify:

1.5pi + .5pi + 4.5 + .3pi + 2.1 = 13.5 and simplify some more by combining like terms:

2.3pi = 6.9 so

pi = 3. Ok we have 3 pineapples. Now we go back up to the expression for pears:

pe = pi + 9 so

pears = 12. Now we go back to the expression for kiwis:

k = pi + 7 so

kiwis = 10. And there you go!

Answer:

1333

Step-by-step explanation:

Answer:

[tex]{ \tt{( {x}^{4})(3 {x}^{3} - 2)(4 {x}^{2} + 5x) }} \\ = { \tt{( {x}^{4})( {12x}^{6} + 15 {x}^{4} - 8 {x}^{2} - 10x) }} \\ = { \tt{( {12x}^{24} + {15x}^{16} - {8x}^{8} - {10x}^{5} ) }}[/tex]

Answer:

[tex]\left(x^4\right)\left(3x^3-2\right)\left(4x^2+5x\right)[/tex]

[tex](3x^{3} -2)(4x^{2} +5x)[/tex]

[tex]12x^5+15x^4-8x^2-10x[/tex]

[tex]\left(x^4\right)\left(12x^5+15x^4-8x^2-10x\right)[/tex]

[tex]=12x^9+15x^8-8x^6-10x^5[/tex]

Therefore, A is your answer

~~OAmalOHopeO

Answer:

=3/(3+2) × 100

=60

Step-by-step explanation:

=3/(3+2) × 100

=60

Answer:

largest 4 digit number × largest 3 digit number

=9999 × 999

(10000-1)×(1000-1) = (a-b)(c-b)= ac-ab-bc+b^2

10000000-10000-1000+1 = 9989001

Answer:

converted to what?

Step-by-step explanation:

Answer:

I hope option D is write

I hope you help

Answer:

B. 32°

Step-by-step explanation:

The reference angle for 212°

=212°-180°

=32°

Hope it is helpful to you

Answer: You left out half the question so

Step-by-step explanation:

if you're looking for chance of x houses having a tv, then .6^x is your formula,

if you're looking for chance of x houses not having a tv, then .4^x will find it

Both formulas only apply if you're looking at specific homes, since your question is incomplete I can only guess at what your answer should be.

The car will run 60 miles on 2 gallons of gas.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that A car has 2 gallons of gas. The car gets 30 miles/gallon.

The run of the car will be calculated as,

1 gallon = 30 miles

2 gallons = 30 x 2 miles

2 gallons = 60 miles

Therefore, the car will run 60 miles on 2 gallons of gas.

To know more about an expression follow

https://brainly.com/question/13363911

#SPJ2

Answer:

13 , 6.

Step-by-step explanation:

A equation is given to us and we need to find out the value of x . The given equation to us is ,

[tex]\sf\implies \dfrac{ x -9}{\sqrt{x+3}}= 1 [/tex]

Cross multiply ,

[tex]\sf\implies x - 9 =\sqrt{ x +3} [/tex]

Squaring both sides ,

[tex]\sf\implies (x - 9)^2 = x + 3 [/tex]

Simplify the whole square ,

[tex]\sf\implies x^2+9^2-2.9.x = x +3 \\ [/tex]

[tex]\sf\implies x^2+81 - 18x = x -3[/tex]

Add 3 and subtract x on both sides ,

[tex]\sf\implies x^2 -18x-x +81-3=0[/tex]

Simplify ,

[tex]\sf\implies x^2 -19x +78=0 [/tex]

Split the middle term of the quadratic equation,

[tex]\sf\implies x^2-13x-6x+78=0 [/tex]

Take out common ,

[tex]\sf\implies x( x -13)-6(x-13)=0[/tex]

Take out ( x -13 ) as common ,

[tex]\sf\implies ( x -13)(x-6)=0 [/tex]

Equate both factors to 0 ,

[tex]\sf\implies \boxed{\pink{\sf x = 13,6}}[/tex]

Hence the value of x is 13 or 6 .

[tex] \sf \: Volume \: is \: calculated \: in \: cubic \: units \: ( {units}^{3} ) \: \\ \sf \: because \: we \: use \: volume \: to \\ \sf \: measure \: the \: space \: enclosed \: by \: \: 3 \: dimensional \: (3-D) \\ \sf \: figures \: like \: cuboid, \: cube, \: cylinder \: etc.[/tex]

Answer:

[tex]E.G=\$2[/tex]

Step-by-step explanation:

Sample size 52 card

Pay for J or Q [tex]=\$17[/tex]

Pay for King or Ace [tex]=\$5[/tex]

Pay for others [tex]=-\$2[/tex]

Therefore

Probability of drawing J or Q

[tex]P(J&Q)=\frac{8}{52}[/tex]

Probability or drawing King or Ace

[tex]P(K or A)=\frac{8}{52}[/tex]

Probability or drawing Other cards

[tex]P(O)=\frac{36}{52}[/tex]

Therefore

Expected Gain is mathematically given as

[tex]E.G=\sum_xP(x)[/tex]

[tex]E.G=17*\frac{8}{52}+5*\frac{8}{52}+(-2)*\frac{36}{52}[/tex]

[tex]E.G=\$2[/tex]

Answer:

(x-2), (x+2), (3x-5)

Step-by-step explanation:

Factors of 3: ±1, ±3

Factors of 20: ±1, ±2, ±4, ±5, ±10, ±20

Possible factors of the polynomial: ±1, ±2, ±3, ±4, ±5, ±10, ±20, .... (there's a lot more but you probably do not need to list them all)

Pick a number to divide the polynomial by (I picked 2)

(3x³-5x²-12x+20)÷(x-2) = 3x²+x-10

So (x-2) is a factor of f(x) = 3x³-5x²-12x+20

Factor 3x²+x-10 = (3x-5)(x-2) these are the other factors of f(x) = 3x³-5x²-12x+20

Answer:

i THINK its A. 4(n-3) -6n

Step-by-step explanation:

Have a wonderful day!!

Answer:

12 m²

Step-by-step explanation:

Area of the floor:

area = length * width

area = 4 m * 5 m

area = 20 m²

area of carpet = 60% of area of the floor

area of carpet = 0.6 * 20 m²

area of carpet = 12 m²

Answer:

B. Power Law

C. Sum Law

G. Difference Law

Step-by-step explanation:

Power law determines functional relationship between two quantities. When there is change in one quantity, this will result in proportional relative change in another quantity. Sum law of limit determines the limit of sum of two functions. Difference law of limits  is a constant times a function is equal to the limit of that function.

Answer:

209

Step-by-step explanation:

Given the following:

[tex]a_{1} = 17\\d=6[/tex]

The nth term of an arithmetic sequence is expressed as:

[tex]a +(n-1)d[/tex]

a is the first term = 17

d is the common difference =6

Get the 33rd term:

[tex]n=33\\a_{33}=17+(33-1)*6\\a_{33} =17+32(6)\\a_{33}=17+192\\a_{33}=209[/tex]

Hence the 33rd term is 209

Step-by-step explanation:

Given:

[tex]\vec{a} = 5\hat{\textbf{i}} + 4\hat{\textbf{j}}[/tex]

[tex]\vec{b} = 5\hat{\textbf{i}} - 5\hat{\textbf{j}}[/tex]

Then

[tex]2\vec{a} = 2(5\hat{\textbf{i}} + 4\hat{\textbf{j}})[/tex]

[tex]\:\:\:\:\:\:= 10\hat{\textbf{i}} + 8\hat{\textbf{j}}[/tex]

[tex]3\vec{b} = 3(5\hat{\textbf{i}} - 5\hat{\textbf{j}})[/tex]

[tex]\:\:\:\:\:\:= 15\hat{\textbf{i}} - 15\hat{\textbf{j}}[/tex]

Therefore,

[tex]2\vec{a} - 3\vec{b} = (10 - 15)\hat{\textbf{i}} + (8 - (-15))\hat{\textbf{j}}[/tex]

[tex]= -5\hat{\textbf{i}} + 23\hat{\textbf{j}}[/tex]

To find the magnitude,

[tex]|2\vec{a} - 3\vec{b}| = \sqrt{(-5)^2 + (23)^2}= 23.54[/tex]

Answer:

The value is [tex]t = 2.705[/tex].

Step-by-step explanation:

In this question, we have to find the critical value for the t-distribution, with 40 degrees of freedom, and a 99% confidence level.

99% confidence level:

We have to find a value of T, which is found looking at the t table, with 40 degrees of freedom(y-axis) and a two-tailed value of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.705.

The value is [tex]t = 2.705[/tex].

Answer:

[tex]x^\frac{2}{3}[/tex]

Step-by-step explanation:

Using the power of power rule (multiply the exponents)

[tex]x^\frac{4}{3}[/tex] × [tex]^\frac{1}{3}[/tex]       [tex]x^\frac{2}{3}[/tex] × [tex]^\frac{1}{3}[/tex]

[tex]x^\frac{4}{9}[/tex]            [tex]x^\frac{2}{9}[/tex]

When exponents are multiplied, add the answers:

x ^ ( 4/9 + 2/9 )

x ^ ( 6/9 )

x ^ ( 2/3 )

Answer:

B. -1 should be the answer

Step-by-step explanation:

Given:

Scale factor of map is:

1 decimeter = 11.5 kilometers

The distance between M and N on the map is 235 decimeters.

To find:

The Actual distance between M and N.

Solution:

Scale factor of map is:

1 decimeter = 11.5 kilometers

Using this scale factor, we get

235 decimeter = 235 × 11.5 kilometers

235 decimeter = 2702.5 kilometers

235 decimeter = [tex]2702\dfrac{1}{2}[/tex] kilometers

Therefore, the points M and N are [tex]2702\dfrac{1}{2}[/tex] kilometers apart.

Answer:

it seems as it is adding .15 every time so the next 3 would be .05 .20 and .65

Answer:

1/2 Liter was concentrate. 2 1/2 L was water.

Step-by-step explanation:

Let the amount of concentrate = x

5x + x = 3                Combine the left

6x = 3                      Divide by 6

x = 3/6

x = 1/2

Answer:

you will type your answers and send

Answer:

Step-by-step explanation:

⅔-2/5 = 4/15

Answer:

Option D

Answered by GAUTHMATH

Answer:

D.

Step-by-step explanation:

The asymptotes are at x = 1 and x = -4.

The denominator of option D is not defined for x = 1 and x = -4 since those two values cause a zero in the denominator.

Answer: D.