Which are correct representations of the inequality –3(2x-5) <5(2 - x)? Select two options.
u x<5
. -6x-5 < 10 - X
0 -6x + 15 <10 - 5x
-3
--2
-1
0
2
3
5
to
6
7
-7
1-6
-5
-3 -2 -1 0
2
3

Explanation:

This is after using the nCr combination formula

[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]

where in this case n = 7 and r = 4. Note how n-r = 7-4 = 3.

We use nCr instead of nPr because the order of the toppings doesn't matter.

Answer:

what kind of math is that?

Step-by-step explanation:

Answer: keith

Step-by-step explanation:

The system of equations to represent the number of pages read per day by Keith and Tameka, using d for days and p for pages are,

p = 6d

p = 5d + 15

Since we know that,

A system of equations is the set of equations in which the finite set of equations is present for which the common solution is sought.

Two students are reading a book.  Keith reads 6 pages a day.

The equation for Keith, where d for days and p for pages can be given as,

p = 6xd

p = 6d

Tameka reads 5 pages a day, but he starts sooner and has already read 15 pages. The equation for Tameka, where d for days and p for pages, can be given as,

p = 5xd + 15

p = 5d + 15

Hence, the system of equations to represent the number of pages read per day by Keith and Tameka, using d for days and p for pages are,

p = 6d

p = 5d + 15

Learn more about the system of equations here;

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Answer:1130.97

Step-by-step explanation:

V=πr2h=π·62·10≈1130.97336

First, we have to understand the slope-intercept form.

[tex] \large \boxed{y = mx + b}[/tex]

A linear function/equation has three forms and the slope-intercept is one of the form. It is also commonly used in Function topic while the other two forms are commonly used in Analytic Geometry.

In the slope-intercept form, the m-term represents the slope while b-term represents the y-intercept of a graph.

Which equation represents a linear function that has a slope of 5 and a y-intercept of -6.

As you notice the bold, italic and underlined words in the question that I quoted or rewrote. I've just explained that the slope is m-term and y-intercept is b-term.

Therefore, substitute m = 5 and b = -6 in the equation.

[tex] \large{y = mx + b \longrightarrow \bold{y = 5x + ( - 6)}} \\ \large \boxed{ \tt{ \purple{y = 5x - 6}}}[/tex]

I hope this helps! Let me know if you have any questions regarding the linear function, don't hestitate to ask. Good luck with your assignment and have a nice day!

9514 1404 393

Answer:

  20 people

Step-by-step explanation:

Let n represent the number of people served. If each ate 1/5 of a pizza and there are 4 pizzas, we have ...

  (1/5)·n = 4

The solution can be found by multiplying both sides of the equation by 5.

  5(1/5)n = 5(4)

  n = 20

20 people could be served.

Answer:

Option (1)

Step-by-step explanation:

Area of the polygon = Area of CDE + Area of EFG + Area of ABCF

Area of triangle CDE = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                   = [tex]\frac{1}{2}(3)(2)[/tex]

                                   = 3 units²

Area of ΔCDE = [tex]\frac{1}{2}(5)(1)[/tex]

                       = 2.5 units²

Area of trapezoid ABCF = [tex]\frac{1}{2}(b_1+b_2)h[/tex]

                                        = [tex]\frac{1}{2}(8+11)(4)[/tex]

                                         = 38 units²

Area of the given polygon = 3 + 2.5 + 38

                                            = 43.5 units²

Therefore, Option (1) will be the correct option.

Answer:

scale factor = 2

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, fig. B to fig. A

Consider the horizontal lengths, then

scale factor = [tex]\frac{8}{4}[/tex] = 2

Answer:

135 and 315degrees

Step-by-step explanation:

Given the expression

4tan²θ+tanθ=−4tanθ−1

Equate to zero

4tan²θ+tanθ+4tanθ+1 = 0

4tan²θ+5tanθ+1 = 0

Let x = tanθ

4x²+5x+1 = 0

Factorize;

4x²+4x+x+1 = 0

4x(x+1)+1(x+1) = 0

4x+1 = 0 and x+1 = 0

4x = -1 and x = -1

x = -1/4 and -1

Since x = tanθ

-1 =tanθ

θ = arctan(-1)

θ = -45degrees

Since tan is negative in the 2nd and fourth quadrant;

In the second quadrant

θ = 180 - 45 = 135degrees

In the fourth quadrant;

θ = 360 - 45 = 315degrees

Hence the required angles are 135 and 315degrees

Answer:

F=0.46N

Step-by-step explanation:

[tex]F[/tex]∝[tex]\frac{1}{d^{2}}[/tex],

[tex]F=\frac{k}{d^{2} } \\[/tex]

[tex]F=0.35N, d=8m\\[/tex]

[tex]0.35=\frac{k}{8^{2} }[/tex]

[tex]k=0.35\times 8^{2} \\\\k=22.4\\F=\frac{22.4}{d^{2} } \\d=7m, F=\frac{22.4}{7^{2} } =0.46N[/tex]

The value of a₄ is -9

Recursively defined sequence is the sequence where every term is calculated by the use of the one or more previous term given.

In this given problem

a₁ = 5

given relation between term is [tex]a_{n+1}[/tex] = 2aₙ -7

using this relation

take n=1

a₂ = 2a₁-7 =(2*5)-7=3

then by taking n=2

a₃ = 2a₂-7 =(2*3)-7=-1

then taking n=3

a₄= 2a₃-7 =(2*(-1))-7= -9

so the final answer will be a₄ = -9

learn more about Recursively defined sequence

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Answer:

b=77

c = 103

Step-by-step explanation:

b and 77 are vertical angles and vertical angles are equal

b= 77

c and 77 are supplemental angles and supplemental angles add to 180

c+77 =180

c = 180-77

c =103

[tex] \large \sf \star \: \blue{Answer} \: \star[/tex]

[tex] \small \sf \mapsto\: b = \fbox{77 °} [/tex]

[tex] \small \sf \mapsto \: c = \fbox{ 103 °}[/tex]

Here,

And,

So, b + c = 180 °

77° + c = 180 ° ... { b = 77 -( vertical angle )}

subtract 77 from each sides

77 - 77 + c = 180 ° - 77 °

c = 103 °

Answer:

Scientific Notation: 3754 × [tex]10^{-4}[/tex]

Step-by-step explanation:

Have a great summer :)

Answer:

3.754 • 10^-4

Step-by-step explanation:

Put decimal point back until in front of a whole number( not zero ;D). So it would be 3.754 and since it was going left or backwards the exponent would be negative. Therefore, giving our answer!

Hope this helped, good luck! :)

Answer:

[tex]y = 12.25[/tex]

Step-by-step explanation:

Area of parallelogram = [tex]49 {cm}^{2} [/tex]

∴ Side of Parallelogram = [tex]s = \frac{perimeter}{4} [/tex]

[tex]∴ \: s = y[/tex]

[tex]y = \frac{49}{4} [/tex]

[tex]y = 12.25[/tex]

Answer: 1.45 is a growth factor.

Step-by-step explanation:

Exponential growth function: [tex]y=Ab^x[/tex], where A = initial value , b = growth factor (if b>1)

Here, The expression [tex]6.7\cdot(1.45)^t[/tex] models the number of billions of genetic sequence bases available in the public database of the Whole Genome Shotgun project t years since 2002.

Here, b=1.45 >1

Thus,1.45 is a growth factor.

Answer:

$72

Step-by-step explanation:

For the first month, they got a 25% discount, aka $120 off. Now that it's changed to 40%, you need to find how much 40% of $480 is.

480 x .4 = 192

40% of $480 is $192. The next step is to find the difference between $192 and $120.

192 - 120 = 72

Therefore, you need to give them of refund of $72.

Answer:

b = - 1.09

Step-by-step explanation:

- 2.9 + b ÷ 0.1 = - 39.9

- 2.9 + b ÷ 0.1 × 0.1 = - 39.9 × 0.1

- 2.9 + b = - 3.99

- 2.9 + 2.9 + b = - 3.99 + 2.9

b = - 1.09

Answer:

Exact form

b=-37/10

Decimal form

b=-3.7

Mixed Number form

b+-3 7/10

Step-by-step explanation:

-2.9+b/1/10+-39.9

-2.9+10b+-39.9

10b=-39.9+2.9

10b=-37

b=-37/10

Pen : $3

Pencil : $0.50

Answer:

6y

Step-by-step explanation:

The two figure are squares with the same area

side = √area = √y^2 = y (with y>0 because a length can‘t be negative)

perimeter = side * 6 = y * 6 = 6y

Answer:

(a) 3

(b) 3+5÷2 =4

Step-by-step explanation:

(a) you look at which number appears the most on the data in this case it's 3 it appeares three times in the data compared to other numbers.

(b) arrange the data in ascending order divide the data equally to find the number in the middle if the are two numbers you simply add them and divide by 2 to get your median.

Answer:

30/100

Step-by-step explanation:

30% as a fraction is 3/10; In simplest form is 30% = 30/100.

Answer:

true

Step-by-step explanation:

Answer:

False. if it was perpendicular than the segments would be equal

Step-by-step explanation:

Answer:

yes this is true helpful answer

Answer:

Perimeter = 6s + 9 units

Step-by-step explanation:

Perimeter = 2s + 4 + 4s + 2 + 3

                = 2s + 4s + 4 +  2 + 3

                = 6s + 9 units

Answer:

Decreasing linear

Step-by-step explanation:

An arithmetic sequence decreases by a set amount every time through subtraction, so that means it's linear

Answer:

Step-by-step explanation:

6ax +12by -9ay -8bx

=6ax -8bx -9ay +12by

=2x(3a -4b)-3y(3a -4b)

=(2x-3y)(3a-4b)

Answer:

3570

Step-by-step explanation:

the current monthly rent is 4200.

now, decreasing it by 15% means to reduce it, to subtract 15% from it.

4200 = 100%

42 = 1%

15% = 42 × 15 = 630

so, the new rent is 4200 - 630 = 3570