-7(y+2x)-3(y-x) please expand and then simplify the expression.

Answer:

I believe the answer to this question is: X=square root(39), and square root(-39).

Given the function [tex]f(x)[/tex]

[tex]f(x)+k[/tex] — will shift the graph vertically by k

[tex]f(x-k)[/tex] — will shift the graph horizontally by k

[tex]kf(x)[/tex] — will stretch the graph vertically by k

[tex]f(kx)[/tex] — will stretch the graph horizontally by k

Answer:

Mr Jackson should get $8.88 back.

Step-by-step explanation:

$50 - $41.12 = $8.88

An exterior angle is equal to the sum of the two opposite inside angles.

T + 31 = t + t-29

Simplify:

T + 31 = 2t -29

Add 29 to both sides:

T + 60 = 2t

Subtract 1t from both sides:

T = 60

Answer:

See below for the graph:

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

These are two lines with equal slopes and different y intercepts so they will be parallel and will never intersect

Answer:

what is the question

Step-by-step explanation:

Answer:

She will need 191.55 pounds of flour.

Step-by-step explanation:

Given:

Audrey needs 2.4 pounds if flour for birthday cakes and 3.75 pounds of flour for wedding cakes.

If she plans on baking 72 birthday cakes and 5 wedding cakes.

Now, to find pounds of flour will she need.

So, the pounds of flour for 72 birthday cakes:

[tex]2.4\times 72[/tex]

[tex]=172.8\ pounds.[/tex]

And, the pounds of flour for 5 wedding cakes:

[tex]5\times 3.75[/tex]

[tex]=18.75\ pounds.[/tex]

Now, to get the pounds of flour she need we add the pounds of flour to make 72 birthday cakes and 5 wedding cakes:

[tex]172.8+18.75[/tex]

[tex]=191.55\ pounds.[/tex]

Therefore, she will need 191.55 pounds of flour.

The x-intercepts appear on this polynomial are 3 x intercepts.

Step-by-step explanation:

To find the x intercepts of the polynomial [tex]f(x)=x^{4} -5x^{2}[/tex] is by equating [tex]f(x)=0[/tex]

Thus, the equation becomes

[tex]\begin{array}{r}{x^{4}-5 x^{2}=0} \\{x^{2}\left(x^{2}-5\right)=0}\end{array}[/tex]

Equating, we get,

[tex]x^{2}=0,\left(x^{2}-5\right)=0[/tex]

[tex]x=0[/tex], [tex]\begin{aligned}x^{2}-5 &=0 \\x^{2} &=5 \\x &=\pm \sqrt{5}\end{aligned}[/tex]

Thus, the x-intercepts are [tex]x=0, x=\sqrt{5} , x=-\sqrt{5}[/tex]

Hence, the x-intercepts appear on this polynomial are 3 x intercepts.

Answer:

1 x-intercepts

Step-by-step explanation:

has same question on a test

Answer:

x=11

Step-by-step explanation:

since ad bisects bac, bad=dac

32=3x-1

+1    +1

3x=33

/3    /3

x=11

Answer:

b

Step-by-step explanation:

Answer:

answer is y=10x

Step-by-step explanation:

multiply time by 10 to equal models sara's direct variaton.

The equation models Sara's direct variation if, Sara's earnings vary directly with the number of hours she works, which is y = 10x, so option B is correct.

A collection of objects is arranged in a graph, where some object pairings are conceptually "linked." Each pair of connected vertices is referred to as an edge, and the objects are represented by mathematical abstractions known as vertices.

Given:

Sara's earnings vary directly with the number of hours she works,

x = number of hours worked, and y = earnings,

The equation for the above statement can be written as shown below,

earnings = number of hours worked  × salary

Assume the salary is a then,

y = ax

If she gets a salary of $10 then,

y = 10x

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Answer:

Rayshawn originally had $30.

Step-by-step explanation:

i) Rayshawn has a certain amount of money. Let us say this amount is $x.

ii) Rayshawn spends $20 which means that he is left with $(x - 20)

iii) it is also given that amount of money left after spending $20 is [tex]\dfrac{1}{3}[/tex] of the original amount, $x, the amount remaining is [tex]\dfrac{\$x}{3}[/tex].

iv) from the information given in ii) and iii) we get

     $(x - 20) = [tex]\dfrac{\$x}{3}[/tex],  Therefore we get 3x - 60 = x , therefore 2x = 60,

  Therefore x = $30. Rayshawn originally had $30.

Therefore, Rayshawn had $60 initially.

If Rayshawn spends $20 and ends up with 1/3 of the original amount, we can deduce that $20 represents 2/3 of the original amount.

since 1 - 1/3 = 2/3. Thus, each part (1/3) of the original amount corresponds to $20. Consequently, to find the original amount, we multiply $20 by 3, yielding $60. Therefore, Rayshawn originally had $60. This conclusion emerges from understanding that after spending $20, Rayshawn retains 1/3 of his original funds, implying that the $20 spent was equal to 2/3 of his initial sum. Thus, the inverse operation, multiplying by 3, unveils the original amount. Therefore, Rayshawn had $60 initially.

The perimeter of original garden is 42 feet

The perimeter of enlarged garden is 82 feet

Solution:

The perimeter of rectangle is given as:

Perimeter = 2(length + width)

Given that,

The garden is rectangular with width 6 feet and length 15 feet

Length = 15 feet

Width = 6 feet

Therefore, perimeter is given as:

Perimeter = 2(15 + 6)

Perimeter = 2(21)

Perimeter = 42

Thus perimeter of original garden is 42 feet

The new garden will be similar to the original one, but will have a length of 35 feet.

Length = 35 feet

Width = 6 feet

Therefore, perimeter is given as:

Perimeter = 2(35 + 6)

Perimeter = 2(41) = 82

Thus perimeter of enlarged garden is 82 feet

Answer:

The system of equations will have an infinite number of solutions.

Step-by-step explanation:

i) when we arrive at a solution of a linear system with two equations and two

 variables and the solution of the equation does not give the value of any

 variable but rather is in the form of an identity like the one given, that is

 -6 = -6, then we can say that the two equations are exactly the same and

  that the system of equations will have an infinite number of solutions.

Answer:

x = 130°

Step-by-step explanation:

Segment AC tangent to circle O then ∠A = 90°

Segment BC tangent to circle O then ∠B = 90°

finally ,

x = 360 -(90+90+50) = 360-230 = 130

Answer:

x = 130°

Step-by-step explanation:

=======================================

C(n, r) = (n!)/(r!*(n-r)!) is the combination formula

C(7, 5) = (7!)/(5!*(7-5)!)

C(7, 5) = (7!)/(5!*2!)

C(7, 5) = (7*6*5!)/(5!*2!)

C(7, 5) = (7*6)/(2!) ..... note the "5!" terms divided and canceled

C(7, 5) = (7*6)/(2*1)

C(7, 5) = 42/2

C(7, 5) = 21

Answer:

Step-by-step explanation:

Since the candy bar is just one

Giving 1/4 of it to her younger sister make her left with 3/4 of the candy bar i.e 1 - 1/4 = 3/4

Then giving 1/3 of the left over to her elder sister it becomes 3/4 * 1/3 =1/4

Then the remaining candy bar will be 3/4 - 1/4 = 1/2

Then she will be left with 1/2 i.e half of the candy bar.

Answer:

x = -43/6

Step-by-step explanation:

To solve this equation, you solve for 'x' by isolating it. This means to move every other number to the other side of 'x'. You can move numbers when they 'cancel' out by doing the opposite (Adding and subtracting are opposites. Dividing and multiplying are opposites).

[tex]\frac{3x-2}{6}-\frac{4x+1}{4} = 3[/tex]

[tex]\frac{3x-2}{6}*\frac{2}{2}-\frac{4x+1}{4}*\frac{3}{3} = 3[/tex]     Multiply each fraction by a fraction that equals '1'. (2/2 = 1 and 3/3 = 1). This will give them a common denominator.

[tex]\frac{(3x-2)*2}{6*2}-\frac{(4x+1)*3}{4*3} = 3[/tex]     Multiply

[tex]\frac{(6x-4)}{12}-\frac{(12x+3)}{12} = 3[/tex]

[tex]\frac{(6x-4)-(12x+3)}{12}= 3[/tex]     Combine the fractions with the same denominator

[tex]\frac{(6x-4)-12x-3}{12}= 3[/tex]     Subtract binomials. -(12x+3) is -12x-3

[tex]\frac{6x-4-12x-3}{12}= 3[/tex]     Remove unnecessary brackets

[tex]\frac{-6x-7}{12}= 3[/tex]     Combined like terms.

[tex]\frac{-(6x+7)}{12}= 3[/tex]     Factor out the negative in the top.

[tex]-(6x+7)= 3*12[/tex]     Multiplied both sides by 12

[tex]-(6x+7)= 36[/tex]     Simplified right side

[tex]6x+7= -36[/tex]     Divided both sides by -1

[tex]6x= -36-7[/tex]     Subtract 7 from both sides

[tex]6x= -43[/tex]     Simplified right side

[tex]x= \frac{-43}{6}[/tex]     Divided both sides by 6. Answer in fraction form.

x = 7.166..67     Answer in decimal form

Therefore x is -43/6 or about 7.17.

Answer:

20 + 10w = total cash saved

Answer:

c

Step-by-step explanation:

going negative stops at 4

Answer: D

Step-by-step explanation:

Okun's law says that a country's gross domestic product (GDP) must grow at about a 4% rate for one year to achieve a 1% reduction in the rate of unemployment.

Option D is correct.

Since, According to Okun's law a country's gross domestic product (GDP) must grow at about a 4% rate for one year to achieve a 1% reduction in the rate of unemployment.

So, if the unemployment rate goes from 6% to 2%, that is reduce by 4%

Therefore, GDP is increase by 4(4 %) = 16 %

Thus, most appropriate answer is option D, that is GDP will increase by 11% .

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Answer:

2/4, 3/6, 4/8, 5/10, 6/12

Step-by-step explanation:

Equivalent fractions are fractions that have the same value or represent the same part of an object. If a pie is cut into two pieces, each piece is also one-half of the pie. If a pie is cut into 4 pieces, then two pieces represent the same amount of pie that 1/2 did. We say that 1/2 is equivalent to 2/4.

Fractions are determined to be equivalent by multiplying the numerator and denominator of one fraction by the same number. This number should be such that the numerators will be equal after the multiplication. For example if we compare 1/2 and 2/4, we would multiply 1/2 by 2/2 which would result in 2/4 so they are equivalent.

To compare 1/2 and 3/7 we would multiply 1/2 by 3/3 to produce 3/6. Since 3/6 is not the same as 3/7, the fractions are not equivalent.

Fractions equivalent to 1/2 are 2/4, 3/6, 4/8, 5/10, 6/12 ...

Fractions equivalent to 1/3 are 2/6, 3/9, 4/12, 5/15, ...

Fractions equivalent to 1/4 are 2/8, 3/12, 4/16, 5/20, ...

Fractions equivalent to 1/5 are 2/10, 3/15, 4/20, 5/25, ...

Fractions equivalent to 2/5 are 4/10, 6/15, 8/20, 10/25, ...

Answer:2/4 3/6 4/8 5/10 6/12

Answer:

[tex]AE=20\ units[/tex]

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

Triangles AEB and DEC are similar by AA Similarity Theorem

so

[tex]\frac{AB}{DC}=\frac{AE}{DE}[/tex]

substitute the given values and solve for x

[tex]\frac{10}{4}=\frac{2x+10}{x+3}[/tex]

Multiply in cross

[tex]10x+30=8x+40\\10x-8x=40-30\\2x=10\\x=5[/tex]

Find the length side AE

[tex]AE=2x+10[/tex]

substitute the value of x

[tex]AE=2(5)+10=20\ units[/tex]

Answer: x≈3

Step-by-step explanation:

0.48 = log x , this could also be written as :

[tex]log_{10}[/tex] x = 0.48 , that is

x = [tex]10^{0.48}[/tex]

x = 3.01995172

x≈ 3

The solution to the equation 0.48 = log x is approximately 3.02 after converting it from logarithmic form into exponential form and calculating 10 to the power of 0.48.

To solve the logarithmic equation 0.48 = log x we have to rewrite this equation in exponential form. A logarithm log_b(x) = y in exponential form is represented as b^y = x. Considering that in your question it's not specified, this likely means a base of 10 is being used. Hence, the equation 0.48 = log x can be converted into exponential form: 10^0.48 = x.

Performing the calculation with a calculator (or by hand if you know how), we find x ≈ 3.02. Therefore, the solution for x in the given equation is approximately 3.02.

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The given polygons are similar

Step-by-step explanation:

By observing the given diagrams, we can see that the respective angles are congruent.

Two shapes are said to be similar if they have same shapes or one shape is created by uniformly increasing or decreasing the side of other.

For this purpose we find the scale factor of greater to smaller image, if the scale factor is same for each side then the two shapes are similar

So,

The scale factor is:

[tex]\frac{EF}{AB} = \frac{3}{1} = 3\\\\\frac{FG}{BC} = \frac{9}{3} = 3\\\\\frac{GH}{CD} = \frac{15}{5} = 3\\\\\frac{EH}{AD} = \frac{21}{7} = 3[/tex]

We can see that the scale factor is same for all sides.

Hence,

The given polygons are similar

Keywords: Polygons, similarity

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Answer: (x−3)(x+7)

=(x+−3)(x+7)

=(x)(x)+(x)(7)+(−3)(x)+(−3)(7)

=x^2+7x−3x−21

=x^2+4x−21

The product of (x-3) and (x+7) is x² + 4x - 21

The product of (x - 3) and (x + 7) can be found as follows:

(x - 3)(x + 7)

open the bracket by multiplying

Therefore,

x(x) +x(7) - 3(x) - 3(7)

x² + 7x - 3x - 21

combine like terms

x² + 4x - 21

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