(basic algebra)
any help would help so much thank you so much :)

Answer:

The answer is (B).

Step-by-step explanation:

A). y = f(x) = 6(x - 2) + 3 ⇔ y = 6x - 12 + 3 ⇔ 6x = y + 9 ⇔ x = [tex]\frac{y+9}{6}[/tex]

g(x) = [tex]\frac{x+9}{6}[/tex] is inverse function of f(x) and ≠ [tex]\frac{x+2}{6}[/tex] - 3

B). y = f(x) = [tex]\frac{5x}{4}[/tex] - 3 ⇔ 4y = 5x - 12 ⇔ x = [tex]\frac{4y+12}{5}[/tex]  

g(x) = [tex]\frac{4(x + 3)}{5}[/tex] is inverse of f(x)

Answer:

5/8x+1/2x-4=5

or, 5(2x-4)+8x= 5

or, 10x- 20+8x=5

or, 10x-8x= 20+5

or, 2x= 25

or,x= 25/2

:.x= 25/2

Step-by-step explanation:

first we have to make denominator then we can criss cross multiply. we can make in same point .if there is plus we can subtract and if there is front minus if we take it back it must be plus. then we can put same point then we can divide

Answer:

59

Step-by-step explanation:

If a number is divided by [tex]n[/tex] and leaves a remainder [tex](n-1)[/tex], then the number [tex](n+1)[/tex] will be completely divisible by [tex]n[/tex].

Therefore, when we say a number [tex]x[/tex], when divided by 6, it leaves a remainder 5, then ([tex]x+1[/tex]) will be a multiple of 6.

When we say a number [tex]x[/tex], when divided by 5, it leaves a remainder 4, then ([tex]x+1[/tex]) will be a multiple of 5.

When we say a number [tex]x[/tex], when divided by 4, it leaves a remainder 3, then ([tex]x+1[/tex]) will be a multiple of 4.

When we say a number [tex]x[/tex], when divided by 3, it leaves a remainder 2, then ([tex]x+1[/tex]) will be a multiple of 3.

So, [tex]x+1[/tex] is a common multiple of 3, 4, 5 and 6.

Taking LCM of 3, 4, 5 and 6, we get 60.

So, the number 60 - 1 = 59 is the least such number.

Answer:

-84

Step-by-step explanation:

The formula for the nth term of a geometric progression is

Un = ar^n- 1

The sum of the first six terms of a geometric series (U6) = 21/16

Common ratio = -1/2 ,

a = First term ??

21/16 = a × (-1/2 )^6- 1

21/16 = a ×(-2^-1)^5

21/16 = a × -2^-6

Cross Multiply

16 × a × -2^-6 = 21

a = 21/16 × -2^-6

a = 21/16 ×- 1/2⁶

a = 21/16 × -1/64

a = 21 ÷(-1/4)

a = 21 × -4

a = -84

The first term = 84

Answer:

HFHBEHFBHEHHEHHHHH

Step-by-step explanation:

Answer:

The answer will be in the form y=mx+b

y= - [tex]\frac{2}{5}[/tex] x + [tex]\frac{7}{10}[/tex]

Brainliest please

The equation of a line is an algebraic form of representing the set of points, which together form a line in a coordinate system.

The equation of -4x - 10y = -7 in slope-intercept form is

y = (-2/5)x + (-7/10)

The equation of a line is an algebraic form of representing the set of points, which together form a line in a coordinate system.

The equation of a line in slope intercept form is given by:

y = mx + c

m = slope

c = y-intercept

We have,

-4x - 10y = -7

Add 4x on both sides.

-4x - 10y + 4x = 7 + 4x

-10y = 7 + 4x

Multiply -1/10 on both sides.

y = -1/10 ( 7 + 4x )

y = -7/10 - (4/10)x

y = (-2/5)x + (-7/10)

Thus the equation of -4x - 10y = -7 in slope-intercept form is

y = (-2/5)x + (-7/10)

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Answer:

Yes, they are equalent

Step-by-step explanation:

12:14 = 6:7

60:70 =6:7

both can be simplified to 6:7

Please find diagram attached

Answer and explanation:

Perpendicular lines are lines that meet at 90 degrees/ right angle.

The question seems to be incomplete but I will explain what perpendicular lines are in the context of lines lll and mmm, with some assumptions about the lines.

Assume that line III is 30mm long and line mmm is 25mm long, we say that line III is perpendicular to line mmm if line III meets line mmm at 90 degrees as we see in the diagram attached.

Answer:

I don't know how you would submit this but I do know it's a transformation. So you would move it across the x-axis 4 or 5 times depending on the shape. So I would maybe just write out each individual number like 3,4,5

Step-by-step explanation:

Answer: AEC = 80

              X=30

YW ;)

Under b. reflected in the origin  B(-4, -6) would be B'(4, 6).

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

Point B(-4, - 6) is given lies on the third quadrant.

Now, If we reflect along y = x it would be (- 6, - 4).

But if we reflect point B(-4, - 6) along the origin it would be B'(4, 6).

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Answer:

1. x=7.16304347

2.x=11.2

Step-by-step explanation:

Answer:

A: 24

B: 40.04

Step-by-step explanation:

A=L*W

8*3=24

5.2*7.7=40.04

Answer:

Answer by Yi Jing

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

10 times as much

0.001 * 10 = 0.01

Answer:

[tex]\log _3\left(x^9\right)=9\log _3\left(x\right)[/tex]

Step-by-step explanation:

Given the expression

[tex]\log _3\:x^9[/tex]

now rewriting the expression

[tex]\log _3\:x^9[/tex]

[tex]\mathrm{Apply\:log\:rule\:}\log _a\left(x^b\right)=b\cdot \log _a\left(x\right),\:\quad \mathrm{\:assuming\:}x\:\ge \:0[/tex]

[tex]=9\log _3\left(x\right)[/tex]

Therefore,

[tex]\log _3\left(x^9\right)=9\log _3\left(x\right)[/tex]

Answer:

B

Step-by-step explanation:

edge

Answer: The answer is

-1/3 > -0.5

Step-by-step explanation:

1/3 written as a decimal is -0.333333, which is more than -0.5, Hope this works :)

Answer:

126.8 Hope this helps

We need to first make these improper fractions. 5 = 40/8, so 40/8+6/8 = 46/8. Similarly, 4 = 20/5, so 20/5+4/5=24/5.

So we need to find the value of 46/8+24/5. Multiply the first fraction by 5/5 and second fraction by 8/8 to get the same denominator. We get (46*5+24*8)/8*5 = 422/40. This is equal to 400/40 + 22/40 = 10+22/40.

So the third answer choice is correct.

Hope that helped!

Answer:

2100

Step-by-step explanation:

30 x 70 = 2100

32 rounds to 30. 67 rounds to 70.

Answer:

[tex]2100[/tex]

Step-by-step explanation:

Estimate:

Change numbers 32 and 67 to the next factor:

[tex]30 and 70[/tex]

Multiply together:

[tex]2100[/tex]

So your answer is B:

[tex]2100[/tex]

Answer:

1.  A

2. B

3. A

4. B

5. A

Step-by-step explanation:

Edge 2022

Answer:

Explanation: Correct on Edg 2020.

Step-by-step explanation:

Here is the answer...

Hope this helps you

Answer: Not likely; recurring debt is higher than what is allowed.

Step-by-step explanation:

The options are:

a. Very likely; recurring debt is less than what is allowed.

b. Somewhat likely; recurring debt is equal to what is allowed.

c. Not likely; recurring debt is higher than what is allowed.

d. There is not enough information given to determine the answer.

Annual salary = $37,580

Car loan payment annually = $265 × 12 = $3180

Annual student loan= $120 × 12 = $1440

Annual loan payment will be:

= $3180 + $1440

= $4620

Based on the above, Mandy is already paying 12.3% (4620 / 37580)× 100 as loan every month. Coupled with the fact that he'll still have some amount to pay as loan every month, he won't be given as the recurring loan is higher than what will be allowed.

Answer:

c. Not likely; recurring debt is higher than what is allowed.

Step-by-step explanation:

got it right

Answer:

3

Step-by-step explanation:

Answer:

4 feet

Step-by-step explanation:

Let the side length of the square be x feet.

x^2 - 5 = 59

x^2 = 64

x = ±4 (reject - 4 since length > 0)

Topic: Areas of polygons

If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

Answer:

the answer is A

Step-by-step explanation:

48/50 x 100% = 96% of student wearing tennis shoes

100% - 96% = 4% students not wearing tennis shoes

Answer:

20

Step-by-step explanation:

3x+14=2(2x-3)

3x+14=4x-6

3x-4x=-6-14

-x=-20

X=20

So the valueof X is 20

The discount is $18 if the all swimming equipment is on sale with a 40% discount. A snorkeling set regularly sells for $45.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

We have:

All swimming equipment is on sale with a 40% discount. A snorkeling set regularly sells for $45.

The regular price = $45

The discount is worth = 40% of 45

= (40×45)/100

= $18

Thus, the discount is $18 if the all swimming equipment is on sale with a 40% discount. A snorkeling set regularly sells for $45.

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