Need help with exponential functions quick
30 points

Answer:

Standard form: 5 x 10^-1

Expanded form: 0.5

Step-by-step explanation:

hope this helps

Answer:

Option C. [tex]g(x)=(x+5)^{2}[/tex]

Step-by-step explanation:

we know that

The equation of the parent function f(x) (red graph) is

[tex]f(x)=x^{2}[/tex]

This is a vertical parabola open upward

The vertex is the point (0,0) (the origin)

The function g(x) (blue graph) is a vertical parabola open upward

The vertex is the point (-5,0)

The transformation of f(x) to g(x) has the following rule

f(x) -----> g(x)

(0,0) ----> (-5,0)

(x,y) ----> (x-5,y)

That means----> The transformation is a translation of 5 units at left

therefore

The equation of g(x) is

[tex]g(x)=(x+5)^{2}[/tex]

Answer:

x < 7

Step-by-step explanation:

We are given an equation of inequality and we have to solve the equation as an inequality.

The given equation is - 19 > x - 26

⇒ - 19 + 26 > x

⇒ 7 > x

⇒ x < 7 {Since, if a > b then we can write b < a, as they are equivalent}

Hence,the solution of the equation of the inequality is x < 7. (Answer)

Answer:

2 × [tex]10^{6}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] ⇔ [tex]a^{(m-n)}[/tex]

Split the fraction into a product, that is

= [tex]\frac{8.4}{4.2}[/tex] × [tex]\frac{10^{12} }{10^{6} }[/tex]

= 2 × [tex]10^{(12-6)}[/tex]

= 2 × [tex]10^{6}[/tex]

Step-by-step explanation:

So fill it in

2(3 times 3)+(6-2)2

so

2(9)+(4)2

then

18+8=26

Answer: 26

hope that is right

Answer:

First plug in for m and n

2(3)(3) +(6-2)(2)

Next solve

18 + 8

Answer= 10

Step-by-step explanation:

Step-by-step explanation:

[tex]-2(5-4x)<6x-4\qquad\text{use the distributive property}\\\\(-2)(5)+(-2)(-4x)<6x-4\\\\-10+8x<6x-4\qquad\text{subtract}\ 8x\ \text{from both sides}\\\\-10+8x-8x<6x-8x-4\\\\-10<-2x-4\qquad\text{add 4 to both sides}\\\\-10+4<-2x-4+4\\\\-6<-2x\qquad\text{divide both sides by (-2)}\\_{\text{by dividing by a negative number, flip the inequality sign}}\\\\3>x[/tex]

Answer:

The Slope is 9 and the y-intercept is -2

Step-by-step explanation:

Answer: slope=9

Y-intercept=-2

Step-by-step explanation:

Use y=mx+b where m equals slope and b equals y-intercept

Answer:

$69.75

Step-by-step explanation:

Given: Cost of textbook before tax=$65.49

The tax on the textbook = 6.5%

The tax amount = 6.5% of $65.49

=\frac{65}{1000}\times65.49=4.25685\approx4.26

⇒The tax amount = $4.26

The total cost of the textbook=Cost of textbook before tax+tax amount

=$65.49+$4.26

=$69.75

The total cost of the textbook is $69.75.

Credit goes to @JeanaShupp

Answer:

Answer is69.75

Step-by-step explanation:

Answer:

[tex] \frac{16}{20} [/tex]

Step-by-step explanation:

he sold 16 and he was supposed to sell 20. therefore it's 16/20. not relevant, but he sold 80% of the tickets

Answer:

I don't know why but I personally think its 1/4 I'm probably wrong but I'm trying my best well I hope dis helps and stay safe :3

Answer:

38.0

Step-by-step explanation:

Answer:

53(15) + 39(20) = x

795 + 780

=1,575

Step-by-step explanation:

there are 53 t-shirts 15$ each. Then 39 sweatshirts each 20$. so 53*15 + 39*20 will be your final solution.

Answer:

The answer is 4/8=2/4 because 4/8 simplifying is 2/4 or 1/2

The true fraction comparisons are 1/2 = 2/4 and 4/8 = 2/4. The other comparisons are false. Simplifying fractions helps determine their equality.

Comparing Fractions:

Let's determine which of the given fraction comparisons are true:

The three true comparisons are: 1/2 = 2/4, 3/6 = 2/4, 4/8 = 2/4, and none from the rest.

Answer:

Step-by-step explanation:

Use PEMDAS:

P Parentheses first

E Exponents

MD Multiplication and Division

AS Addition and Subtraction

[tex]6:(-3)-(-9)[/tex]           first - division

[tex]=-2+9[/tex]          use commutative property a + b = b + a

[tex]=9+(-2)=9-2=7[/tex]

120% = $150

divide both sides by 6

20% = $25

We want the regular price, so 100%.

multiply both sides by 5

100% = $125

Answer:125

Step-by-step explanation:

150/1.20

=125

The cost of glass is:  £4

The cost of mug =  £2

Step-by-step explanation:

Let g be the number of glasses and

m be the number of mugs

[tex]3g+3m = 18\ \ \ \ \ Eqn\ 1\\6g+4m=32\ \ \ \ \ Eqn\ 2[/tex]

Multiplying equation 1 by 2

[tex]6g+6m=36\ \ \ \ Eqn\ 3[/tex]

Subtracting Eqn 2 from Eqn 3

[tex]6g+6m - (6g+4m) = 36-32\\6g+6m-6g-4m=4\\2m=4[/tex]

Dividing both sides by 2

[tex]\frac{2m}{2} = \frac{4}{2}\\m = 2[/tex]

Putting m=2 in eqn 1

[tex]3g+3(2) = 18\\3g+6 = 18\\3g = 18-6\\3g = 12[/tex]

Dividing both sides by 3

[tex]\frac{3g}{3} = \frac{12}{3}\\g = 4[/tex]

Hence,

The cost of glass is:  £4

The cost of mug =  £2

Keywords: Linear Equation, simultaneous equations

Learn more about linear equation at:

#LearnwithBrainly

Answer:

[tex]45x^3a+27xa^2= 9xa(5x^2+3a)[/tex]

Step-by-step explanation:

Given:

[tex]45x^3a+27xa^2= 9xa[/tex]

We need to complete this Statement.

By Solving the above equation we get;

We will take some common factor out so we will get;

[tex]45x^3a+27xa^2= 9xa(5x^2+3a)[/tex]

Hence the Complete statement is [tex]45x^3a+27xa^2= 9xa(5x^2+3a)[/tex]

Answer:

(d) negative 12 s squared + 11 s t minus 2 t squared    is the PRODUCT.

Step-by-step explanation:

Here, the given expression is:

(negative 3 s + 2 t)(4 s minus t)   =  (- 3s + 2t) (4s - t)

Now, by DISTRIBUTIVE PROPERTY:

   A(B-C) = AB - AC

Simplifying the given expression ,we get:

[tex](- 3s + 2t) (4s - t)  = -3s(4s-t) + 2t(4s -t)\\= -3s(4s) -3s(-t) + 2t(4s) + 2t(-t)  = -12s^2 + 3st + 8 st - 2t^2\\= -12s^2 + 11st - 2t^2\\\implies (- 3s + 2t) (4s - t)  =   -12s^2 + 11st - 2t^2[/tex]

Now, the resultant expression can also be written as

[tex]-12s^2 + 11st - 2t^2[/tex]  =  negative 12 s squared + 11 s t minus 2 t squared.

Hence, the option (4) is the correct option.

Answer:

option 4 is the answer

Step-by-step explanation:

Answer:

Any [a,b] that does NOT include the x-value 3 in it.

Either an [a,b] entirely to the left of 3, or

an  [a,b] entirely to the right of 3

Step-by-step explanation:

The intermediate value theorem requires for the function for which the intermediate value is calculated, to be continuous in a closed interval [a,b]. Therefore, for the graph of the function shown in your problem, the intermediate value theorem will apply as long as the interval [a,b] does NOT contain "3", which is the x-value where the function shows a discontinuity.

Then any [a,b] entirely to the left of 3 (that is any [a,b] where b < 3; or on the other hand any [a,b] completely to the right of 3 (that is any [a,b} where a > 3, will be fine for the intermediate value theorem to apply.

x = - 3

y = -2

Step-by-step explanation:

3x - 8y = 7

x +2y = -7

We standardize the coefficient of one variable such that it addition will result to zero;

3x - 8y = 7

(x +2y = -7)4

Then multiply the one equation with a constant (this case 4) to get;

3x – 8y = 7

4x + 8y = - 28

We add the two equations;

3x – 8y = 7

+

4x + 8y = - 28

=

7x = - 21

x = -21 / 7

x = - 3

Now we evaluate y by replacing the value of x with -4 in one of the equation;

x +2y = -7

-3 +2y = -7

2y = -7 + 3

2y = - 4

y = -2

Learn More:

For more on linear combination check out;

https://brainly.com/question/13959574

https://brainly.com/question/12057389

#LearnWithBrainly

There are 65 people in the club.

Step-by-step explanation:

Given,

Fraction of people went on hiking = [tex]\frac{3}{5}[/tex]

No. of people went on hiking = 39

Let,

x be the number of people at club.

According to given statement;

[tex]\frac{3}{5}\ of\ x = 39\\\\\frac{3}{5}x=39\\0.6x=39\\[/tex]

Dividing both sides by 0.6

[tex]\frac{0.6x}{0.6}=\frac{39}{0.6}\\x=65[/tex]

There are 65 people in the club.

Keywords: fractions, division

Learn more about fractions at:

#LearnwithBrainly

Answer:

68.627

Step-by-step explanation:

51%=0.51

35/0.51=68.627

Answer:

68.627 is the answer!

Step-by-step explanation: I just took a test on it like 5 minutes ago!PLEASE MARK BRAINLIEST!!!! PLEASE!!! HAVE A NICE DAY!!!!

Answer:

[tex]y\le\dfrac{1}{2}x+2[/tex]

Step-by-step explanation:

On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, 0) and (0, 2). This line has the equation

[tex]y-0=\dfrac{2-0}{0-(-4)}(x-(-4))\\ \\y=\dfrac{1}{2}(x+4)\\ \\y=\dfrac{1}{2}x+2[/tex]

The origin belongs to the shaded region, so its coordinates must satisfy the inequality. Since

[tex]\dfrac{1}{2}\cdot 0+2=2\ge 0,[/tex]

then the correct inequality is

[tex]y\le\dfrac{1}{2}x+2[/tex]

Answer:

A

y ≤ [tex]\frac{1}{2}[/tex]x + 2

Step-by-step explanation:

Answer:

The restaurant Manager can afford 6 employees for the day.

Step-by-step explanation:

Manager can spend at most of $400.

Total Money ≤ $400

Cost to operate bank = $100

Cost for each employee = $50

Let number of employees for the day be[tex]x[/tex]

Hence the equation will become;

[tex]50x + 100 \leq 400[/tex]

Solving this equation we get;

[tex]50x + 100 \leq 400\\50x \leq 400-100\\50x \leq 300\\x\leq \frac{300}{50}\\\\x\leq 6[/tex]

Hence, The restaurant Manager can afford 6 employees for the day.

Answer:

x < = 10

Step-by-step explanation:

i did it on photo math so yah

Answer:

4 meters longer.

Step-by-step explanation:

Amit built a sandcastle that measured 600 cm by 600 cm i.e. 6 meters by 6 meters.

Therefore, its perimeter is 2(6 + 6) = 24 meters

Now, afterward, he decided to change the castle size, making it 8 meters by 6 meters.

Therefore, its perimeter is 2(6 + 8) = 28 meters

Therefore, the perimeter of the new castle is increased by (28 - 24) = 4 meters.

If Amit dug a moat around his castle then the new moat will be 4 meters longer than the old one. (Answer)

As the moat is dug around the castle, its length will be the same as the perimeter of the castle.

Good evening ,

Answer:

x^2+16x-71 = (x+8)²-135

Step-by-step explanation:

x^2+16x-71 = (x+8)²-8²-71

                 = (x+8)²-(64+71)

                 = (x+8)²-135.

:)

Answer:

see explanation

Step-by-step explanation:

The second term of sequence P is 2a + b

The third term of sequence Q is 3b + a

Equating gives

2a + b = 3b + a ( subtract a from both sides )

a + b = 3b ( subtract b from both sides )

a = 2b ← as required

Good evening ,

Step-by-step explanation:

4 (b)

The 2nd term of sequence P is 2a+b

The 3rd term of sequence Q is 3b+a

2a+b=3b+a ⇌ (2a-a) = (3b-b) ⇌ a=2b.

:)

Answer: 67 miles per hour

Step-by-step explanation: [tex]v = \frac{s}{t}[/tex] where v is velocity, s is space and t is time;

[tex]\frac{301.5 miles}{4.5 h}[/tex] = 67

Answer:

yes

Step-by-step explanation:

Because 6+ 2 equals 8 then plus 3 equals 11 and 11 equals 8+3

Answer:

1.69

Step-by-step explanation:

well to find out the unit rate that would be a pound now we need to find out how much it would cost for 1 lb which would be 3.38 / 2 which would be 1.69 as your answer

Answer:

$1.69 per pound

Step-by-step explanation:

3.38/2=1.69

Answer:

10

Step-by-step explanation:

5 trees * 2 from each = 10 apples

Answer:

10

Step-by-step explanation:

5*2=10