Theresa pays $9.56 for 4 pounds of tomatoes. What is the cost of 1 pound of tomatoes?

Answer:

a = 1

b = -1

Step-by-step explanation:

[tex]g(x)=ax^2-b \quad \quad \textsf{(where }\:a\:\textsf{ and }\:b\:\textsf{ are real numbers)}[/tex]

Create 2 equations with b as the subject using the given information.

Equation 1

[tex]\begin{aligned}g(2) &=-5\\\implies a(2)^2-b &=-5\\4a-b &=5\\ b&=4a-5\end{aligned}[/tex]

Equation 2

[tex]\begin{aligned}g(-1) &=2\\\implies a(-1)^2-b &=2\\a-b &=2\\ b &=a-2\end{aligned}[/tex]

Equate the equations and solve for a:

[tex]\begin{aligned}b & =b\\\implies 4a-5 & = a-2\\3a & = 3\\a & = 1\\\end{aligned}[/tex]

Substitute the value of a into Equation 2 and solve for b:

[tex]\begin{aligned}b & =a-2\\a=1 \implies b & =1-2\\b & = -1\end{aligned}[/tex]

Answer:

a = -7/3

b = -13/3

Step-by-step explanation:

Making equations in terms of 'a' and 'b' :

Subtract : Equation 1 - Equation 2

Finding b :

Step-by-step explanation:

I guess it is a circular pool.

the area of a circle is

pi×r²

in our case we know

pi×r² = 78.5

3.14×r² = 78.5

r² = 78.5/3.14 = 25

r = 5 m

Answer:

C

Step-by-step explanation:

The only way to know if you he waked this amount of distance is to know how much they walked today! So the answer is C

Answer: Your answer is C how far did you walk today?

Step-by-step explanation: I did the k12 unit test. (For proof) it has 10 questions. Question number sevens question is Which term describes the distribution of this graph? and part of the name is Unit Test: Data Distribution - Part 1.

Hope it helped please mark me brainliest :D

Answer:

[tex]y=6.50-0.25x[/tex]

Step-by-step explanation:

[tex]\textsf{let}\:(x_1,y_1)=(2,6)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(6,5)[/tex]

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{5-6}{6-2}=-0.25[/tex]

Point-slope form of linear equation:  [tex]y-y_1=m(x-x_1)[/tex]

(where m is the slope and (x₁, y₁) is a point on the line)

Substituting the found slope and a point on the line:

[tex]\implies y-6=-0.25(x-2)[/tex]

[tex]\implies y-6=-0.25x+0.5[/tex]

[tex]\implies y=-0.25x+6.5[/tex]

Rearranging the equation to match the answer options given:

[tex]\implies y=6.50-0.25x[/tex]

Answer:

625

Step-by-step explanation:

p= Kqr³

where K is the constant

K = p/qr³ = 270/6•3³

K= 5/3

p = 5/3• qr³

p = 5/3• 3• 5³

p = 5⁴

p= 625

Hope it helps! :)

Answer: 8

Step-by-step explanation: divion

Answer:

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Given:

Kathy sells encyclopedias and earns $40 for each set she sells.

To Find:

How many sets did she sell if she earned $600 last week?

Solve:

Since kathy sells encyclopedias and earns $40 for each set she sells.

And if kathy total is $600

then we do

$600 divide by $40

600/40 = 15

Hence, she sold 15 sets last week.

Kavinsky

Answer:

15

Step-by-step explanation:

This is basically 600/40

600/40 = 15

Answer:

113.04 cm

Step-by-step explanation:

Answer:113

Step-by-step explanation:

Answer:

You did not provide the tables to choose from, but the relationship between number of books and total price is that each book is 14.25. Hope that helps at least.

Answer:

A Circle

Step-by-step explanation:

Given that the variables are complex numbers, the value of the complex expression [tex]\frac{\gamma}{\alpha} +\bar{\frac{\alpha}{\beta}}[/tex] is -2

The given parameters are:

[tex]\alpha + \beta + \gamma = 0[/tex]

[tex]\frac{1}{\alpha} + \frac{1}{\beta} + \frac{1}{\gamma} = 0[/tex]

Rewrite the first equation as:

[tex]\alpha + \beta = - \gamma[/tex]

Take LCM in the second equation

[tex]\frac{\alpha + \beta}{\alpha \beta} + \frac{1}{\gamma} = 0[/tex]

So, we have:

[tex]\frac{ - \gamma}{\alpha \beta} + \frac{1}{\gamma} = 0[/tex]

Rewrite as:

[tex]\frac{1}{\gamma} = \frac{\gamma}{\alpha \beta}[/tex]

Multiply through by [tex]\alpha[/tex]

[tex]\frac{\alpha}{\gamma} = \frac{\gamma}{\beta}[/tex]

Inverse both sides

[tex]\frac{\gamma}{\alpha} = \frac{\beta}{\gamma}[/tex]

Make [tex]\beta[/tex] the subject in [tex]\alpha + \beta + \gamma = 0[/tex]

[tex]\beta =-(\alpha + \gamma)[/tex]

So, we have:

[tex]\frac{\gamma}{\alpha} = \frac{-(\alpha + \gamma)}{\gamma}[/tex]

Expand

[tex]\frac{\gamma}{\alpha} = -\frac{\alpha}{\gamma}- 1[/tex]

This gives

[tex]\frac{\gamma}{\alpha} +\frac{\alpha}{\gamma} = - 1[/tex]

Make [tex]\gamma[/tex] the subject in [tex]\alpha + \beta + \gamma = 0[/tex]

[tex]\gamma = -(\beta + \alpha)[/tex]

So, we have:

[tex]\frac{\gamma}{\alpha} +\frac{\alpha}{-(\beta + \alpha)} = - 1[/tex]

Split

[tex]\frac{\gamma}{\alpha} +\bar{\frac{\alpha}{\beta}} + \frac{\alpha}{\alpha} = - 1[/tex]

Evaluate the quotient

[tex]\frac{\gamma}{\alpha} +\bar{\frac{\alpha}{\beta}} + 1 = - 1[/tex]

Subtract 1 from both sides

[tex]\frac{\gamma}{\alpha} +\bar{\frac{\alpha}{\beta}} = - 2[/tex]

Hence, the value of [tex]\frac{\gamma}{\alpha} +\bar{\frac{\alpha}{\beta}}[/tex] is -2

Read more about complex numbers at:

https://brainly.com/question/10662770

#SPJ1

Answer:

[tex]3^{-5} =\frac{1}{3^{5} } = (\frac{1}{3} )^{5}[/tex]
[tex]5^{-3} = \frac{1}{5} *\frac{1}{5} *\frac{1}{5} = \frac{1}{5*5*5}[/tex]

Step-by-step explanation:

15 and 1/15 do not equal anything.

Hope this helped!

Given the final amount of money available in Maddy's account, the interest rate and the time elapsed, the initial money her aunt invested was $15,000.

Interest is simply the amount of money a lender or financial institution receives for lending out money or pays for receiving money.

The formular for calculating compound interest is expressed as;

A = P(1 + r/n)^(n*t)

Where A is final amount, P is initial principal balance, r is interest rate, n is  number of times interest applied per time period and t is number of time periods elapsed.

Given the data in the question;

We substitute our given values into the expression above.

$39322  = P(1 + 0.055/1)^(1*18)

$39322  = P(1 + 0.055)^(18)

$39322  = P(1.055)^(18)

P = $39322 / (1.055)^(18)

P = $39322 / 2.621466

P = $15,000

Therefore, given the final amount of money available in Maddy's account, the interest rate and the time elapsed, the initial money her aunt invested was $15,000.

Learn more about compound interest here: brainly.com/question/27128740

#SPJ1

Answer: 82

Step-by-step explanation:

Answer is option B.43

430÷ 10 = 43

By : Modern Einstein

Answer:

2/7= 28.6%

Step-by-step explanation:

Since those are 2 specific days out of seven, we divide it so that there are 2/7 days. Then we change it to a percentage, which would be the equation of 2/7*100, which is equal to 28.57%, which rounds to 28.6%.

The percentage of players weighing greater than or equal to 167 pounds is 75%.

A box plot is used to study the distribution and level of a set of scores. On the box, the first line to the left represents the lower (first) quartile. 25% of the score represents the lower quartile.

On the box plot, the lower quartile is 167.

Students that weigh greater than 167 = 100 - 25 = 75%

To learn more about box plots, please check: https://brainly.com/question/27215146

#SPJ1

Answer: 20. D.

Step-by-step explanation: 10 times 5 = 50. 4 times 5 = 20.

I hope this is right.

I think that the answer is 123

Using the normal distribution, it is found that there is a 0.4483 = 44.83% probability of a random person on the street having an IQ score of less than 98.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Normal Probability Distribution

In a normal distribution with mean  and standard deviation, the z-score of a measure X is given by:

[tex]Z=\dfrac{x-\mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are, respectively, given by and.

The probability of a random person on the street having an IQ score of less than 98 is the p-value of Z when X = 98, hence:

[tex]Z=\dfrac{x-\mu}{\sigma}[/tex]

[tex]Z=\dfrac{98-100}{15}[/tex]

[tex]Z=-0.13[/tex]

Has a p-value of 0.4483.

0.4483 = 44.83% probability of a random person on the street having an IQ score of less than 98.

To know more about probability follow

brainly.com/question/24663213

#SPJ1

Answer:

Step-by-step explanation:

Solve:

       [tex]\rule{250}{2}[/tex]

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

    Solve 2=2+g/4

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

When solving an equation, we need to make sure all variables are on the left-hand side, and all numbers are on the right.

Since we have numbers on both sides, we need to move them to one side, as follows:-

[tex]\Longrightarrow\sf{2-2=g/4}[/tex]

[tex]\longrightarrow\sf{0=g/4}[/tex]

Now, we multiply by 4 on both sides to get rid of the fraction:-

[tex]\longrightarrow\sf{0\times4=g/4\times4}[/tex]

[tex]\longrightarrow\sf{0=g}[/tex]

So we conclude that g=0.

[tex]\rule{300}{3}[/tex]

Answer:

R6,724.44 or so I think that's right

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$5000\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &3 \end{cases} \\\\\\ A=5000\left(1+\frac{0.10}{4}\right)^{4\cdot 3}\implies A=5000(1.025)^{12}\implies A\approx 6724.44[/tex]

Answer:

42 degrees

Step-by-step explanation:

48 + x = right angle = 90 degrees

48+ x = 90

x = 42 degrees

Answer:

See below ~

Step-by-step explanation:

Details of Graph

Answer:

slope (m) = -4

Step-by-step explanation:

Equation: 4x + y = 3

need to get into to y = mx + b form

m is the slope

b is the y-intercept

4x + y = 3         subtract 4x from both sides

4x - 4x + y = 3 - 4x

y = -4x - 3

m = -4

A. 72 = -2       not true expression

B. m = 4          positive 4 not negative    

C = -8             ?????

D = 10             ?????

none of the choices are right

Step-by-step explanation:

I could not see the entire question

if the question was 6√5²×6√5³×6√5⁴

the answer would be 5√5

if the question was 6√5²×6√5³×6√5

without exponent 4

5²×5³×5=15625

6√15625

the answer will be 5

Answer:

g(x) = -|x| - 8

Step-by-step explanation:

Finding the values of a, h, and k :

a = slope of the line

h = any horizontal shift (left/right)

k = vertical shift (up/down)

Forming the equation :

⇒ g(x) = (-1)|x - 0| - 8

⇒ g(x) = -|x| - 8

Answer:

[tex]\large{\boxed{\sf y = -1|x-0| -8}}[/tex]

Explanation:

Absolute value of a graph formula:

Identify the vertex : (h, k) = (0, -8)

Take two points: (0, -8), (1, -9)

[tex]\sf Find \ slope \ (a) : \sf \ \dfrac{y_2 - y_1}{x_2- x_1} \ = \ \ \dfrac{-9-(-8)}{1-0} \ \ = \ \ -1[/tex]

Put them together :  [tex]\bf y = -1|x-0| -8[/tex]

Answer:

2.5

Step-by-step explanation:

mean=sumfx/sumf

1×2+2×2+3×5+4×1/2+2+5+1

25/10

2.5