Graph the following inequalitiesThe graph only goes up to 10y ≥ -x/4 + 5

Answer:

Step-by-step explanation:

Step-by-step explanation:

Total cashback from grocery and restaurant purchases = 500 * 0.05 = 25$

Total cashback from other purchases

= 1500 * 0.01

= 15$

Total cashback = $ 40

Answer:

530+310+x=<310+x

Step-by-step explanation:

you need to find out x by doing 530+310 then divide 530+310 by 10

Answer:

A = $1311 and 96cents

Step-by-step explanation:

\(A = P(1 + \frac{r}{n})^{nt}\)

P = $1200

r = 1.8% = 0.018

n = 1 (compounded yearly)

t = 5

\(A = 1200(1 + 0.018)^5 = 1200 \times(1.018)^5 = 1311. 96\)

Answer:

  y = (5/9)(x -2)(x +6)

Step-by-step explanation:

When a polynomial has a zero (p, 0), it has a factor (x -p).

The given zeros mean the factored form of the equation will be ...

  y = a(x -2)(x +6)

The given point will mean the value of 'a' will satisfy ...

  (x, y) = (3, 5)

  5 = a(3 -2)(3 +6) = 9a

  a = 5/9 . . . . . . . . . . . . . . divide by the coefficient of 'a'

The factored equation is ...

  y = (5/9)(x -2)(x +6)

The body surface area is given by the equation A = 1.6865 m²

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the body surface area be represented as A

Now , the equation will be

A = ( HW / 3600 )^1/2

A = √( HW / 3600 )   be equation (1)

where H is the height in centimeters and W is the weight in kilograms

Now , the value of H = 160 cm

The value of W = 64 kg

Substituting the values in the equation , we get

A = √ [ ( 160 x 64 ) / 3600 ]

On simplifying the equation , we get

A = √ ( 10240/3600 )

A = √ ( 2.8444 )

A = 1.6865 m²

Therefore , the body surface area is 1.6865 m²

Hence , the equation is A = 1.6865 m²

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

Answer:

C.  5x(-x + 2)

Step-by-step explanation:

To factor the expression -5x² + 10x, we need to look for a common factor that can be factored out.

Finding a common factor involves identifying a term or expression that can be factored out from each term of a given expression.

Both terms have the common factor of 5x, so we can factor out 5x:

5x(-x + 2)

Therefore, the factored form of -5x² + 10x is -5x(x - 2).

\(\hrulefill\)

Additional notes:

If we expand the expressions in the given answer options, we get:

  A.  −5x(x + 2) = -5x² - 10x

  B.  5(−x² + 10x) = -5x² + 50x

  C.  5x(−x + 2) = -5x² + 10x

  D.  x(5x + 10) = 5x² + 10x

Hence confirming that the correct answer is option C.

To factor \(-5x^2+10x\), we can begin by factoring out the greatest common factor, which is \(-5x\):

We can check our answer by distributing \(-5x\) to the expression inside the parentheses:

\(\therefore\) The answer is \(-5x(x-2)\).

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

Answer:

0.0106

Step-by-step explanation:

The simplified expression of  1/(x-2)(x+3) + 3/(x+3) is (4x-3)/(x-2)(x+3).

Simplification of an algebraic expression can be defined as the process of writing an expression in the most efficient and compact form without affecting the value of the original expression.

The given expression;

1/(x-2)(x+3) + 3/(x+3)

The common denominator for (x-2)(x+3) and x+3 =  (x-2)(x+3).

Simplify with the common denominator as follows

[(1(x+3))/(x-2)(x+3)] + [(3(x-2))/(x-2)(x+3)]

[(x+3)/(x-2)(x+3)] + [(3x-6)/(x-2)(x+3)]

Simplify the expression further as follows;

[(x+3 + 3x-6)/(x-2)(x+3)]

Simplifying the numerator further as follows;

[(4x-3)/(x-2)(x+3)]

Learn  more about simplification here: https://brainly.com/question/28008382

#SPJ1

The first plane is farther from the airstrip after the second leg

The first plane

Initial distance = 150 miles west

Additional distance = 220 miles 30 degrees SW

This means that

Additional distance = 220 * cos(30) miles SW

Additional distance = 190.53 miles

Total distance = 150 + 190.53 = 340.53

The second plane

Initial distance = 220 miles east

Additional distance = 150 miles x degrees SE

This means that

Additional distance = 150 * cos(x) miles SW

Total distance = 220 + 150 cos(x)

Given that

x < 30

We have

Second plane < First plane

220 + 150 cos(x) < 340.53

Evaluate

cos(x) < 0.8035

Take the arc cos of both sides

x < 36

x < 36 is not the same as x < 30

Hence, the first plane is farther

Read more about bearing distance at

https://brainly.com/question/22518031

#SPJ1

Answer:

d = 4

Step-by-step explanation:

C = 2*pi r or C = pi * d

Area = pi *r^2= pi (d/2)^2 = pi * d^2  /4

So if they are numerically equal, you get

pi * d = pi * d^2 / 4           Divide both sides by pi

d = d^2 / 4                        Multiply both sides by 4

4*d = d^2                          Divide both sides by d

4 = d

Answer of this composite function is 3x-2.

(ƒ · g)(x) is a composite function and it has meaning  x = g(x) should be substituted in f(x).

Given ƒ(x) = x + 1, g(x) = 3x - 3

so, f(x)=f(g(x))=f(3x-3)= 3x-3+1= 3x-2

To learn more about the composite function, refers to:

brainly.com/question/20379727

#SPJ9

Answer:

$4.40

Step-by-step explanation:

you do 24=5x-2 so first you do 24-2 and u get 22 so then divide that by 5 since they each pay 5. then u end up with 4 dollars and 40 cents

It is possible that the standard deviation is greater than the mean for a list of positive numbers.

What is standard deviation?

The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability.

Take into consideration, the list of numbers -

1,2,3,4,5,20

The mean formula is - Number of observations / Total observations.

Substitute the values in the equation -

Mean = 1 + 2 + 3 + 4 + 5 + 20 / 6

Mean = 35 / 6

Mean (x') = 5.833

The number of observations is n = 6

The variance is the sum of squared deviations from the mean divided by

n−1.

The standard deviation is the square root of the variance -

s = {√(1 - 35/6)² + .... + (20 - 35/6)²} / (6-1)

s = 7.0828

Therefore, the standard deviation is higher than the mean.

To learn more about standard deviation from the given link

https://brainly.com/question/12402189

#SPJ4

Enseñanza Básica is the term used to describe the first level of education in the Chilean education system, which includes the first to eighth grades. A teacher of Enseñanza Básica asked his students to choose three-digit mixed numbers that can be formed.

For such more question on fraction

https://brainly.com/question/78672

#SPJ8

The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.

The three digits different from {1, 2, 3, 4, 5} can be chosen from {0, 6, 7, 8, 9}.

The greatest mixed number is formed by placing the largest digit as the whole number and the remaining two digits as the fraction in descending order, i.e., 9 87/100 or 9.87.

The smallest mixed number is formed by placing the smallest non-zero digit as the whole number and the remaining two digits as the fraction in ascending order, i.e., 6 07/90 or 6.0789.

The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.

Read more about algebra here:

https://brainly.com/question/4344214

#SPJ1

The Question in English

A Basic Education teacher tells his students to choose three digits

different from the set {1, 2, 3, 4, 5} and form mixed numbers by placing the digits

in the locker It also reminds them that the fractional part has to be

less than 1, for example

2

3

5

. What is the difference between the greatest and the least of the

mixed numbers that can be formed?

13.15 es un número decimal, si quieres convertirlo a una fracción se convierte en 1315/100.

El número decimal es un sistema numérico de base 10. En el aprendizaje de las matemáticas, además de ser un número de base 10, este número decimal también se puede interpretar como el número de décimas, centésimas, milésimas,…. pronto.

Los números decimales tienen muchas funciones en varios campos. Los números decimales también son los números más utilizados.

La conversión de números decimales al sistema binario será útil tanto en informática como en programación.

Las fracciones decimales son fracciones cuyos denominadores son diez, cien, mil, etc. Los siguientes son algunos ejemplos de fracciones en forma decimal, a saber:

0,2 = 2/10

0,03 = 3/2100

40/100 = 0,4

127/1000 = 0,127

Más información sobre decimales en

https://brainly.com/question/29765582

#SPJ1

Perimeter of quadrilateral = sum of all the four sides

Combining like terms,

By splitting middle term,

solving for x

x - 5 = 0, x = 5 or

x + 7 = 0, x = - 7

We will take postive value of x, i.e 5.

First side = x + 5

= 5 + 5 = 10

Second side = x + 8

= 5 + 8 = 13

Thrid side = 3x-2

= 3(5) - 2

= 15 - 2 = 13

Fourth side = x²-3x

= 5² - 3(5)

= 25 - 15 = 10

The missing angle is <B= 40 degree and missing side length is AB = 12.25 and AC = 19.068.

To find the missing angle and side measures of ΔABC, we can use the properties of a triangle.

Given:

∠A = 50°

∠C = 90°

CB = 16

We can start by finding the measure of ∠B:

∠A + ∠B + ∠C = 180° (Sum of angles in a triangle)

50° + ∠B + 90° = 180°

∠B + 140° = 180°

∠B = 180° - 140°

∠B = 40°

Now, using Sine law

CB/ sin A = AB / sin C

16 / sin 50 = AB / sin 90

16 / 0.766044 = AB

AB = 12.25

Again 12.25 = AC/ sin B

12.25 = AC / sin 40

AC = 19.068

Learn more about sine law here:

https://brainly.com/question/13098194

#SPJ1

Answer:

C. 1/10

Step-by-step explanation:

The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

For more such questions on graphing visit:

https://brainly.com/question/19040584

#SPJ8

The number of bottles of tonic that must be sold to make at least $130 in profit is [10, 75]

The profit function is given as

P(x) = -x^2 + 85x - 620

The earnings are given as

Earnings = at least $130

This means that

P(x) ≥ 130

So, we have

-x^2 + 85x - 620 ≥ 130

Subtract 130 from both sides of the inequality

So, we have

-x^2 + 85x - 750 ≥ 0

Divide through by -1

So, we have

x^2 - 85x + 750 ≤ 0

Expand the expression

x^2 - 75x - 10x + 750 ≤ 0

Factorize

x(x - 75) - 10(x - 75) ≤ 0

Factor out x - 75

(x - 75)(x - 10) ≤ 0

Split

x - 10 ≤ 0 and x - 75 ≤ 0

Solve for x

x ≤ 10 and x ≤ 75

Combine the inequality

10 ≤ x ≤ 75

Express as interval

10 ≤ x ≤ 75 = [10, 75]

Hence, the number of bottles is [10, 75]

Read more about inequality at

https://brainly.com/question/25275758

#SPJ1

Answer:

4(x-2 +y) = 4x-8+4y

Step-by-step explanation:

You have to apply the distributive law

4(x-2+y) = 4x + 4 (-2) + 4y

Then solve it which equals

4 x +4 (-2) + 4y

Then multiply the numbers

4 (-2) = -8

Which gets you 4x-8+4y

we conduct a one-sided test on the statistic one tail of a critical area of distribution.

The critical value for a two-tailed test of h0: β1 = 0 at α = .05 in a simple regression with 22 observations is 4.35.

What is a critical value?

A critical value can be calculated for different types of hypothesis tests. The critical value of a particular test can be interpreted from the distribution of the test statistic and the significance level.

Test of significance of linear regression between x and y.

Null hypothesis: There is no significant linear relationship between x and y.

Alternative hypothesis: There is a significant linear relationship between x and y.

Test statistic:

F0 = Mean square due to regression/  mean squared error ~ F(1, n-2)

Learn more about critical  here

brainly.com/question/14508634

#SPJ4

Answer:

true

Step-by-step explanation:

Answer:

I believe the answer is 12,342 try it out and let me know:)

Step-by-step explanation:

Answer:

x=2

y=3

Step-by-step explanation:

y=−2x+7

y=5x−7

Set the two equations equal since they are both equal to y

−2x+7 =5x−7

Add 2x to each side

-2x+7+2x = 5x-7+2x

7 = 7x-7

Add 7 to each side

7+7 = 7x-7+7

14 =7x

Divide by 7

14/7 = 7x/7

2 =x

Now find 7

y = 5x-7

y = 5(2) -7

y = 10-7

y = 3

Given that y=y=y,

→ -2x+7 = 5x-7

Let's find the value,

→ -2x+7 = 5x-7

→ 7 = 5x+2x-7

→ 7 = 7x-7

→ 7+7=7x

→ 14 = 7x

→ x = 14/7

→ [x = 2]

Then we can find 7,

→ y = 5x-7

→ y = 5(2) -7 y = 10-7

→ [y = 3]

This is required answer.

Answer:

With what?

Step-by-step explanation:

Ask the question in the comments sections and I'll try to help you if I know the answer :)

Answer:

Bottle 4

Step-by-step explanation:

took the quiz :p

Answer: option D

Step-by-step explanation:

Given equation:

P = 6 w + 8 [eq1]

l=2w+4 [where l is length]

using eq1 we have:

6w=P-8

w=(P-8)/6

hence  option D

learn more about perimeter here:

https://brainly.com/question/28499208

#SPJ9

All the values of x, y and z are,

z = 12.99

y = 7.01

x = 28.3 degree

We have to given that;

In a triangle,

Two angles are, 61.7 degree and 90 degree

And, One side is, 14.76.

Now, We can formulate;

sin 61.7° = Perpendicular / Hypotenuse

sin 61.7° = z / 14.76

0.88 = z / 14.76

z = 0.88 x 14.76

z = 12.99

And, By Pythagoras theorem we get;

14.76² = z² + y²

14.76² = 12.99² + y²

217.85 = 168.74 + y²

y² = 217.85 - 168.74

y² = 49.1

y = 7.01

And, By sum of all the angles in triangle, we get;

x + 61.7 + 90 = 180

x + 151.7 = 180

x = 180 - 151.7

x = 28.3 degree

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ1