Molly and Liza are exercising. Molly does
10 push-ups at the same time
as Liza
does 15 push-ups. When Molly does
40 push-ups, how many push-ups does
Liza do?

Answer:

[tex]x = 1+\sqrt{2} = 2.4\\or\\x= 1-\sqrt{2} = -0.4[/tex]

Step-by-step explanation:

[tex]y = x^2-2x+5\\\\6=x^2-2x+5\\\\x^2-2x-1=0\\\\\\\frac{-b+-\sqrt{b^2-4ac} }{2a} = x\\a = 1, b = -2, c = -1\\\\\frac{2+-2\sqrt{2} }{2\\}\\\\x = 1+\sqrt{2} = 2.4\\or\\x= 1-\sqrt{2} = -0.4[/tex]

The value of the x is -0.4 when y = 6 and the graph is drawn on the left.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The quadratic equation,

y = x² – 2x + 5

To find the value of x:

When y = 6.

So,

x² – 2x + 5 = 6

x² – 2x - 1 = 0

Comparing the quadratic equation with standard quadratic equation,

ax²+ bx +c = 0

We get,

a = 1, b = -2 and c = -1

So,

x = {-b ±√(b²-4ac)}/2a

Substituting the values,

x = (2±√8)/2

x = 1 ± √2

x = 2.41421 and x = −0.414214

And the graph is drawn on the left so x = −0.414214 = -0.4 to one decimal place.

Therefore, the value of the x is -0.4.

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2 is not a polynomial root of  [tex]x^{3} + 4x^{2} + 3x[/tex] . A polynomial is an equation that employs addition, subtraction .

A polynomial is a mathematical statement made up of variables (also known as indeterminates) and coefficients that uses solely the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. A polynomial is an equation that employs addition, subtraction, multiplication, and division of numbers to combine variables, constants, and exponents (No division operation by a variable).

given

[tex]x^{3} + 4x^{2} + 3x[/tex]

= [tex]2^{3} + 2^{2} + 3(2) = 0\\8 + 4 + 6 = 0 \\18= 0[/tex]

Consequently, 2 is not a polynomial root of  [tex]x^{3} + 4x^{2} + 3x[/tex] .

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Answer:

x<5/2

Step-by-step explanation:

hope this helps :)

Answer:

[tex]x < \frac{5}{2} [/tex]

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable. Hope it helps :)

Answer:

46080

Step-by-step explanation:

multiply all of them

Answer: might be 150 sq ft if the problem is of the irregular figure

Answer:

the answer is 42,000

Step-by-step explanation:

obviously because if you carry the one and than divide by the denominator, you get four oranges. and when life gives you lemons, you give it back

Approx 16 revolutions the wheel go through to travel the distance 25 meters by a diameter of 50 cm.

In the given question, a wheel having a diameter of 50 cm.

If the elf travels a distance of 25 meters then we have to find how many revolutions did the wheel go through.

Since we have the wheel's diameter, we can determine the radius of the wheel. As we already know, the length of a wheel's revolution is equal to its circumference, which is a circle with a diameter of 2πr.

We will now enter the radius value into the algorithm to determine how many revolutions the wheel must make. To reach the desired result, divide the total distance by the distance covered in one revolution to determine the number of revolutions needed to travel 25 m.

r = [tex]\frac{50}{2}[/tex] = 25 cm

The radius of the wheel is 25 cm.

Now we put the value of r in the formula of circumference.

2πr = 2π×25

2πr = 50π cm

Total distance is 25 m. So we convert m in cm by multiplying the 100.

Now the total distance is 2500 cm.

2500 = n × 50π

Now putting the value of π = 3.14

2500 = n×50 × 3.14

2500 = n×157

Divide by 157 on both side, we get

n = 15.924

n = 16(approx)

Hence, approx 16 revolutions the wheel go through to travel the distance 25 meters by a diameter of 50 cm.

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The amount earned by the bookstore if all of the packages of supplies are sold is given as follows:

$60.

Before obtaining the amount earned, we must obtain the number of packages, with is given by the greatest common factor of the amounts of each item.

The amounts of each item are given as follows:

36, 48 and 24.

Their greatest common factor is obtained factoring them simultaneously by the same prime factors as follows:

36 - 48 - 24|2

18 - 24 - 12|2

9 - 12 - 6|3

3 - 4 - 2

Hence:

gcf(36, 48, 24) = 2² x 3 = 12.

Which is the number of packages. As each package sells for $5, the amount earned is given as follows:

12 x 5 = $60.

Each package is composed by:

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Answer:

2.5

Step-by-step explanation:

Just if you divide any to congruent sides you will find the ratio to be 2

Solve for the missing side

Answer:

20 feet per second

Step-by-step explanation:

130/6.5 = 20

Answer:

B. y ≤ –3x + 5

Step-by-step explanation:

Its B, all y-values are less than -3x+5. also consider root by setting -3x+5=0

x=5/3 is positive so its the second one

...................................................................................................................................................

Answer:

Step-by-step explanation:

we know that

The solution of the inequality is the shaded area below the solid line (the gray area)

The slope of the solid line is negative

The y-intercept of the solid line is positive

The equation of the solid line is equal to  

therefore

the equation of the inequality is equal to

Answer:

97.53 in³

Step-by-step explanation:

The cylindrical birthday cake has a diameter (d) of 14 inches and a height (h) of 6 inches.

The radius of the cake (r) = diameter / 2 = 14 inches / 2 = 7 inches.

The volume of the full cake = πr²h = π(7²)6 = 924 in³

Since only a part of the cake was cut and given to Myong. The total measure of the cake is 360°, but the part given to her was 38°. Hence the volume of her slice is given as:

Volume of her slice = (38 / 360) * volume of the full cake = (38 / 360) * 924 = 97.53 in³

Volume of her slice = 97.53 in³

Answer:

55.2049%

Step-by-step explanation:

R², the coefficient of determination, is the proportion of the variation in the dependent variable that is predictable from the independent variable.

In this case, if we square our correlation coefficent r=0.743, we get R²=0.552049, which means that 55.2049% of the variation in the number of yearly boaters can be explained by differences in lake sizes

Answer:

1/2

Step-by-step explanation:

A line that is perpendicular to another has an opposite reciprocal slope. In this case, we can see that the slope of the given line is -2, so the perpendicular line would have a slope of 1/2.

Answer:

1/2

Step-by-step explanation:

The slope of a line perpendicular to any given line is the negative reciprocal of the given line's slope:

[tex]m_\perp = \dfrac{1}{m}[/tex]

In this problem, the slope of the given line is [tex]\dfrac{-2}{1}[/tex] (rise over run).

So, to find the slope of a line that is perpendicular to it, we simply flip the given line's slope and change its sign.

[tex]m_\perp = \dfrac{1}{2}[/tex]

So, a line which is perpendicular to the given line would have a slope of 1/2.

Answer:

2. $1,100 in clothing sales gives Rachel a $260 paycheck

3 $.2,200 in clothing sales gives Rachel a $370 paycheck

5. $10,800 in clothing sales gives Rachel a 1,230 paycheck

Step-by-step explanation:

Here is the complete question :

Rachel works for a clothing store. She is $150 paid every week plus a 10% commission on any clothes that she sells. Which of the following is true in regards to Rachel's weekly paycheck? Chose three correct answers.

1. $100 in clothing sales gives Rachel a $250 paycheck

2. $1,100 in clothing sales gives Rachel a $260 paycheck

3 $.2,200 in clothing sales gives Rachel a $370 paycheck

4. $ 4,200 in clothing sales gives Rachel a $420 paycheck

5. $10,800 in clothing sales gives Rachel a 1,230 paycheck

6. $ 16,000 in clothing sales gives Rachel a 1,450 paycheck

The equation representing Rachel's paycheck = amount she earns every month + commission

If she makes  $100 in clothing sales, her paycheck = $150 + (0.1 x 100) = $160

If she makes  $1100 in clothing sales, her paycheck = $150 + (0.1 x 1100) = $260

If she makes  $2200 in clothing sales, her paycheck = $150 + (0.1 x 2200) = $370

If she makes  $4200 in clothing sales, her paycheck = $150 + (0.1 x 4200) = $570

If she makes  $10800 in clothing sales, her paycheck = $150 + (0.1 x 10800) = $1230

If she makes  $16000 in clothing sales, her paycheck = $150 + (0.1 x 16000) = $1750

thus the correct options are 2,3,5

Answer:

$4088.5

Step-by-step explanation:

Given data

Price a =  $6500

Rate of depreciation r= 14.3%

Time x= 3 years

The exponential function Decay is described as

y= ab^x

For decay

b= 1-r

a.

Hence the exponential function that model the value of the computer is

y=a(1-r)^x

b.

y= 6500(1-0.143)^3

y= 6500*(0.857)^3

y= 6500*0.629

y=$4088.5

Hence the value of the computer after 3 years is $4088.5

the correct answer is D, 8.

Answer: Hope This Helps!

Step-by-step explanation:

Changes in air pressure are determined by a variety of forces, including the density and temperature of air masses. When air moves from between areas of high pressure and low pressure, wind directions and speeds may change. The driving force behind changes in air pressure and therefore the creation of wind is gravity.

Answer:

No triangle

Step-by-step explanation:

Since [tex]4+4=8[/tex], the side lengths fail to satisfy the triangle inequality theorem. Thus, no such triangle exists.

4.68

find unit rate by dividing 208 cents by 16 which is 13 than multiply by 36

Answer:

16 inches of ribbon cost- $2.08

36 inches of ribbon cost- ?

36*$2.08/ 16

$74.88/16

= $4.68

Thus, 36 inches of ribbon would cost $4.68

Answer:

90 is your answer i hope this helps

Step-by-step explanation:

Answer:

A to #4

B to #3

C to #1

D to #2

Step-by-step explanation:

A. 7 + 3² = 16

B. 5 - 2²=1

C. 2 · 2³ = 2^4

D. 3^4/3^1=27

Answer:

B) 2 + 3x = 8

Step-by-step explanation:

Option B is not an expression as expressions do not have equal signs.

Answer:

45

Step-by-step explanation:

As a result, the answer to the provided linear equation problem is that the iteration runs in an acceptable amount of time and does not rise exponentially.

A linear equation is represented by the algebraic expression y=mx+b. B is the y-intercept, and m is the slope. A "simple formula with 2 factors," where both y and x are variables, is what the previous sentence was referred to as. Calculations with two variables are referred to as "bivariate linear equations." Here are a few illustrations: 2x - 3 = 0; 2y = 8; m + 1 = 0; x/2 = 3; x + y = 2; and 3x - y + z = 3 are the results. A mathematical equation is considered to be linear if its solution has the format y=mx+b, where m stands for the slope and b for the y-intercept.

Here,

Based on how quickly iterations rise as input increases, fair and unreasonable algorithms can be distinguished. Since the algorithm does not grow exponentially, we can infer that it completes in an acceptable amount of time.

assessing the mathematical function that represents the algorithm's growth rate when input is added;

200 = 10k, where k is the proportionality constant.

k = 200/10

k = 20

The function that represents the number of iterations is as a result:

I = input size; n = 20i; represents the number of iterations.

As a result, the answer to the provided linear equation problem is that the iteration runs in an acceptable amount of time and does not rise exponentially.

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Answer:

(9,-3)

Step-by-step explanation:

Answer:

------------------------------

The product of 7/9 and 6 is:

Answer:

[tex]\textsf{C)} \quad 4\frac{2}{3}[/tex]

Step-by-step explanation:

To find the product of two numbers, multiply them.

[tex]\implies \dfrac{7}{9} \times 6[/tex]

To multiply a fraction by a whole number, first rewrite the whole number as a fraction by dividing it by 1:

[tex]\implies \dfrac{7}{9} \times \dfrac{6}{1}[/tex]

[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{c}\times\dfrac{b}{d}=\dfrac{a \times b}{c \times d}[/tex]

[tex]\implies \dfrac{7 \times 6}{9 \times 1}[/tex]

Simplify:

[tex]\implies \dfrac{42}{9}[/tex]

Reduce the fraction by dividing the numerator and denominator by the common factor of 3:

[tex]\implies \dfrac{42 \div 3}{9 \div 3}[/tex]

[tex]\implies \dfrac{14}{3}[/tex]

Divide the numerator by the denominator:

[tex]\implies 14 \div 3=4\;\rm remainder\;2[/tex]

The mixed number answer is the whole number and the remainder divided by the denominator:

[tex]\implies 4\frac{2}{3}[/tex]

Step-by-step explanation:

there is nothing its just a dark screen?

[tex]4(x+7) \leqslant 4(2x+8)\implies 4x+28\leqslant 8x+32\implies 28\leqslant 4x+32 \\\\\\ -4\leqslant 4x\implies \cfrac{-4}{4}\leqslant x\implies \boxed{-1\leqslant x}[/tex]

notice, in the division by "4" we didn't flip the inequality sign, because the division was by a positive value, we only flip it when the division involves a negative value.