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The linear inequality is represented by the graph will be, y > 3x + 2. Option B is correct.

Linear inequalities involve at least one linear algebraic expression. A polynomial of degree 1 is compared to another algebraic expression of degree less than or equal to 1.

The line is passes through the following points;

(x₁,y₁) to (x₂,y₂)

(-3,-7) to (0,2)

The equation is found as;

[tex]\rm y-y_1 = \frac{y_2-y_1}{x_2-x_1 } (x-x_1)\\\\\ \rm y-(-7) = \frac{(2-(-7))}{(0-(-3))} (x-(-3))\\\\ y+7 =\frac{9}{3} (x+3)\\\\ y+7 = 3x+9 \\\\ y=3x+2[/tex]

The graph because the shading is above the line and does not include the line.

The linear inequality is represented by the graph will be, y > 3x + 2

Hence, option B is correct.

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Answer:

14762 ft³

Step-by-step explanation:

Volume of top prism

Volume of bottom prism

Total volume = Volume (top) + Volume (bottom)

Answer:

I notice that the size of the watermelons has grown at a steady positive rate over the seven days.

Answer:

1. Proportion

2. Not Proportion

3. Proportion

4. Proportion

5. Proportion

Step-by-step explanation:

Hope it helps you :))))))

Have a good day

Answer:

1/2 × 6 × 6

Step-by-step explanation:

the triangle takes up half of the square

the area of a square = side length²

side length = 6

so area of square = 6² = 6 × 6

because the triangle takes up half of the square

the area of the shaded triangle would = 1/2 × 6 × 6

Answer:

173

Step-by-step explanation:

Assume the natural number is x.

x/12 = ... R 5

x/15 = ... R 8

x/18 = ... R 11

Thus, x+7 is divisible by 12, 15 and 18 all together.

The smallest possible number of x+7 can be calculated with prime factorization.

12=2^2 * 3

15=3 * 5

18=2 * 3^2

The smallest possible number for x+7 is 2^2 * 3^2 * 5 = 4 * 9 * 5 = 180.

Therefore, the smallest possible solution for x is 180 - 7 = 173.

Answer:

50%

Step-by-step explanation:

half of the numbers on dice are even

The reasoning used here is coding and decoding.

Coding is a portion of the logical reasoning element that is used to encrypt words, numbers, or codes utilizing specified rules and regulations. The process of decoding patterns into their original forms from supplied forms is known as decoding.

We have an expression:-

a = b and c = d, then a − c = b − d

Therefore the reasoning used here is coding and decoding.

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The shape of the distribution described the Left skewed.

A left skewed histogram is a histogram that attains a peak (which is the mode) towards the right side of the graph and has a “tail” towards the left side.

A histogram in which most of the data falls to the left of the graph's peak is known as a left-skewed histogram.

A left-skewed histogram is a type of histogram that is not symmetrical and in which the peak of the graph lies to the right of the middle value or the median.

Hence, considering the above definition the given histogram data falls on right side.

So, it is left skewed graph.

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Answer:

0.06

Step-by-step explanation:

The product of 2 numbers means that we have to multiply them.

So, we do 0.2 x 0.3 = 0.06

To do this, we convert the decimal fractions into whole numbers by multiply both by 10.

ie. 0.2 x 10 = 2

and

0.3 x 10 = 3

Now multiply together

2 x 3 = 6.

However, we have to remember that we multiplied both numbers by 10 (ie. 10 x 10 = 100) so we must remember to divide the answer by 100

...0.06

Hope this helps!

- profparis

Answer:

=0.06

Step-by-step explanation:

0.2

× 0.3

= 0.06

therefore the answer is 0.06

Answer:3/4

Step-by-step explanation:there are 30+10=40 marble

you choose 30 green.    30/40=3/4

Answer:

x intercepts = (9,0), (-7,0)

Step-by-step explanation:

First lets expand the factored equation.

f(x) = 3(x + 7) (x - 9)

.... = 3x + 21 (x - 9)

....= 3x^2 - 27x - 21x - 189

....= 3x^2 - 6x - 189

lets make the quation equal to 0 and use the Factorization method to solve for x.

3x^2 - 6x - 189= 0

3(x^2 - 2x - 63) = 0

3(x - 9) (x + 7) = 0

x - 9 = 9 and x + 7 = -7

x = 9,

x = -7

Step-by-step explanation:

a.

the arc angle AC = 180° (since this is a diameter).

the arc angle BC = 60°.

so,

arc angle AB = arc angle AC - arc angle BC = 120°.

b.

the exterior angle of a circle segment at the circle arc is half of the interior angle at the center of the same segment.

the angle A = arc angle BC / 2 = 30°.

c.

the same principle as in b.

the angle C = arc angle AB /2 = 60°.

d.

the arc angle AD = the angle at AOD (that is how arc angles are defined).

the angle AOD = the angle AOF.

the sum of all angles in a triangle is always 180°.

angle AOD = AOF = 180 - 90 - angle A = 60°.

e.

as explained, this is the same as the arc angle AD and therefore the same as d.

it is 60°.

f.

the arc angle CE = the arc angle AD = 60°.

remember, the angles of intersecting lines are the same (just side mirrored) on both sides of each line.

g.

the arc angle ABE = arc angle AB + arc angle BC +

+ arc angle CE = 120 + 60 + 60 =

= 240°

h.

the angle AOE = the arc angle AE = the remainder of 360 minus the arc angle ABE of g.

so, angle AOE = 360 - 240 = 120°

Answer: c= [tex]x^{2}[/tex] +4x-10

Step-by-step explanation:

Step 1: Flip the equation.

C+1= [tex]x^{2}[/tex]+4x-9

Step 2: Add -1 to both sides.

c+1+-1=[tex]x^{2}[/tex]+4x-9+-1

c=[tex]x^{2}[/tex]+4x-10

Answer:

[tex]\sf \sqrt{29}[/tex]

Step-by-step explanation:

To find the distance between points H(-2, -3) and F(-4, 2), use the distance formula.

[tex]\boxed{\begin{minipage}{7.4 cm}\underline{Distance Formula}\\\\$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$\\\\\\where:\\ \phantom{ww}$\bullet$ $d$ is the distance between two points. \\\phantom{ww}$\bullet$ $(x_1,y_1)$ and $(x_2,y_2)$ are the two points.\\\end{minipage}}[/tex]

Substitute the points into the distance formula and solve for d:

[tex]\begin{aligned}d&=\sqrt{(x_F-x_H)^2+(y_F-y_H)^2}\\\\&=\sqrt{(-4-(-2))^2+(2-(-3))^2}\\\\&=\sqrt{(-4+2)^2+(2+3)^2}\\\\&=\sqrt{(-2)^2+(5)^2}\\\\&=\sqrt{4+25}\\\\&=\sqrt{29}\end{aligned}[/tex]

Therefore, the exact distance between points H and F is [tex]\sf \sqrt{29}[/tex].

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Answer:

Step-by-step explanation:

Q1

Q2

Q3

Q4

Q5

Answer:

the temperature in London would be -1 degrees as 5-6=-1

The arithmetic sequence has a common difference, and a first term and the 17th term in the arithmetic sequence is -21

The given parameters are:

The nth term of an arithmetic progression is:

Tn = a + (n - 1)d

So, we have:

T17 = a + 16d

Substitute the given values

T17 = 11 - 16 * 2

Evaluate

T17 = -21

Hence, the 17th term in the arithmetic sequence is -21

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The total number of different committees that can be made is:

C = 4,536

If we have a set of N elements, the total number of different subsets of K elements that can be made out of these N is:

[tex]C(N, K) = \frac{N!}{(N - K)!*K!}[/tex]

So, the 2 teachers (out of 9) can be selected in:

[tex]C(9, 2) = \frac{9!}{7!*2!} = \frac{9*8}{2} = 36[/tex]

36 different ways.

The 4 students (out of 9) can be selected in:

[tex]C(9, 4) = \frac{9!}{5!*4!} = \frac{9*8*7*6}{4*3*2} = 126[/tex]

126 different ways.

The committee is formed by these two groups, so the total number of different committees that can be made is:

C = 36*126 = 4,536

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Step-by-step explanation:

when throwing 2 coins, there are 4 equally probable outcomes :

1 head 1 tail

1 tail 1 head

2 heads

2 tails

so, each outcome has a probability of 1/4.

the probability to not get 2 tails is the sum of the probabilities of 3 of these outcomes. so, it is

3/4.

to get 2 tails first at the xth attempt means that it did not happen at all x-1 attempts before.

that probability for that is

(3/4)^(x-1)

and then it happens. the probability for that is 1/4.

so, the total probability for that event is

(3/4)^(x-1) × 1/4 = (3^(x-1)) / (4^x)

so, for x = 7 that gives us a probability of

3⁶ / 4⁷ = 729 / 16384 = 0.044494629...

Answer:

yes its arithmetic, and the common difference is 3

Step-by-step explanation:

-9, -6, -3, 0

-6 - (-9) = 3

-3 - (-6) = 3

0 - (-3) =3

Answer:

$212.55

Step-by-step explanation:

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The cylinder holds 3 times more water than the cone

volume of the cylinder is (pi) (r^2) (height), volume of the cone is (1/3)(pi)(r^2)(height)

Cone is 1/3 of cylinder volume so cylinder holds 3 times the amount

Cylinder holds 942 cu units, cone holds 314,

Answer cylinder holds 628 cu units more than cone

cyl= 3.14 x 5^2 x 12=942

Cone= 1/3 x 3.14 x 5^2 x 12 = 314

Answer:

a ≤ 20

Step-by-step explanation:

a = number of lower vases, in $

3a = cost of a flower vases, in $

10 + 3a = = cost of $10 worth of flowers plus a vases

10 + 3a ≤ 70 says that the cost of Christine's flowers and vases purchase

must be less than, or at most equal to $70.

Subtracting  10 rom both sides of the inequalour

gives us an equivalent inequality

3a ≤ 70 - 10 <--->  3a ≤ 60

Multiplying (or dividing) both sides by a positive number

gives us an equivalent inequality, so

a ≤ 60/3  <---> a ≤ 20

Answer:

The relation is reflexive as

(1,1),(2,2),(3,3)∈R

(2,1)∈R will not imply (1,2)∈R,

hence R is not symmetric

(2,1),(1,3)∈R doesn't imply (2,3)∈R, hence R is not transitive

Step-by-step explanation:

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The measure of the length GF is 4.2 units and IH is 2.27 units. Then the measure of angle ∠ACB will be 24.35°.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The triangle ΔABC and triangle ΔGFC are similar triangles. Then we have

  GF / BA = CF / BC

GF / 5.62 = 8.88 / 12.42

          GF = 4.018

          GF ≅ 4.02

The triangle ΔABC and triangle ΔIHC are similar triangles. Then we have

  IH / BA = HC / BC

IH / 5.62 = 5.02 / 12.42

          IH = 2.271

          IH ≅ 2.27

Then the angle ∠ACB will be

∠ACB = tan⁻¹ (5.62 / 12.42)

∠ACB = tan⁻¹ 0.452

∠ACB = 24.35°

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