Solve the compound inequality for x and identify the graph of its solution.
x+7 > 3 and x-5≤-1
O A. Solution: x < -4 or x ≥ 4
1 2 3 4 5
OB. Solution: x>-4 and x≤ 4
1
2 3 4 5
OC. Solution: x>-4 and x≤ 4
+
+
-5 -4 -3 -2 -1
1
2
3 4 5
OD. Solution: x²-4 and x < 4
1 2 3 4
5
-5 -4 -3 -2 -1 0
-5 -4 -3 -2 -1 0
0
-5 -4 -3 -2 -1 0

Answer:

do u still need help with this

Answer:

Exact Area =

16pi - 32 square meters

Decimal Approx:

A = 18.3 sq m

Step-by-step explanation:

In degrees, it's 360° all the way around a circle. The 270° in the image is to show you that the small piece (the triangle and yellow segment) are in a 90° part of the circle. That is 1/4 of the circle, this helps with area two ways. We'll find 1/4 of the circle area and also, that makes the triangle base 8 and height 8. This helps us find triangle area. See image.

Using translation concepts, considering S(2,-1), the x-coordinate of S' is given by 6.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the rule is given by:

(x, y) -> (x+4, y-2).

Considering S(2,-1), 4 is added to the x-coordinate in the translation, hence:

2 + 4 = 6.

The x-coordinate of S' is given by 6.

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Answer: The correct answers are the first and the fourth one.

Step-by-step explanation:

Answer:

11,676 M&M's

Step-by-step explanation:

A dozen is 12

the problem is saying that in the jar, there are 973 (12-M&M's)

973 * 12 is 11676

There are 11,676 M&M's in the jar

Answer:

they are 11,676

Step-by-step explanation:

A dozen is 12 so since there are 973 dozen, we multiply by 12.

Answer:

x= 67, y= 113 , z= 67........... ...........

Answer:

A

Step-by-step explanation:

A cube has 6 square faces

given surface area = 54 mm² , then

area of one face = 54 mm² ÷ 6 = 9 mm²

the area (A) of a square is calculated as

A = s² ( s is the side length ) , so

s² = 9 ( take square root of both sides )

s = [tex]\sqrt{9}[/tex] = 3 mm

Explanation:

1) sin(37º)=x/10.3————>trigonometric ratio (sine)

2)7²+10²=c²—————-> pythagorean theorem

3) using sine—————> sin(51º)=9/x

using tangent —————> tan(51º)=9/x and x = 7.3 (rounded)

4)using pythagorean theorem————> 6²+7²=c²

angle b is tanx=6/7 where x = 40.6 degrees, angle a is tanx=7/6 where x = 49.4

Answers:

1)x= 6.2

2)x= 12.2

3)x= 11.6 (rounded)

4)x= 9.2

credit to genan for question 3 and 4

ur welcome :)

correct me if im wrong

brainliest please?

Answer:

3rd Option    -     3(x-4) = 6x

Step-by-step explanation:

To remove the fractions we escalate them up to the other side. So to remove the x under 3 we do the following :

[tex]\frac{3}{x} = \frac{6}{x-4}[/tex]   ----->  [tex]{3}= \frac{6x}{x-4}[/tex] (As you can see the x now goes to the numerator of the right side)

Now to remove x-4 under 6x we do the following :

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

Therefore giving our answer as the 3rd option.

Hope this helped and have a good day

Answer:

7

Step-by-step explanation:

350÷50=7

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

Answer:

8 ≤ x

Step-by-step explanation:

6(2 − 6x) ≤ 4 − 35x

Expand bracket;

12 - 36x ≤ 4 − 35x

Add 36x to both sides to get;

12 ≤ 4 + x

Subtract 4 from both sides to get;

8 ≤ x

Hi student, let me help you out! :)

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

We are asked to solve the inequality 6(2-6x)≤4-35x.

[tex]\triangle~\fbox{\bf{KEY:}}\star[/tex]

First, we can use the distributive property and distribute 6:

[tex]\star\large\pmb{12-36x\leq4-35x}[/tex]

Now, add 35x to both sides:

[tex]\star\large\pmb{12-x\leq 4}[/tex]

And now, subtract 12 from both sides:

[tex]\star\large\pmb{-x\leq-8}[/tex]

Divide both sides by -1 and watch what happens:

[tex]\star\large\pmb{x\geq 8}[/tex]

Have you noticed that the inequality sign changed from "less than" to "greater than"?

Well, that happened because we divided both sides by a negative number, -1.

Thus, [tex]\star~\large\pmb{x\geq 8}[/tex]

Hope this helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

[tex]\pmb{M^ar_ib^el\:P^eri}[/tex]

The number of the cups of honey has she collected will be 52 and 2/3 cups.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

Gerrie collects honey from a few beehives.

She scoops out the honey with a small jar that holds 1/3 of a cup.

Over the last two weeks, Gerrie has filled this jar 158 times.

1 small jar = 1/3 cup

But we have done this for 158 times. Then we have

158 small jar = 158 x 1/3 cups

158 small jar = 52 and 2/3 cups

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Answer:

see attached

Step-by-step explanation:

Morning:

12, 19, 19, 21, 23, 25, 27, 31, 36, 39

Min value: 12

Lower quartile (Q1): 19

Median (Q2): 24

Upper Quartile (Q3): 31

Max value: 39

Afternoon:

8, 8, 11, 15, 16, 27, 34, 39, 43, 51

Min value: 8

Lower quartile (Q1): 11

Median (Q2): 21.5

Upper Quartile (Q3): 39

Max value: 51

Answer:

7.  AM IQR: 12   PM: IQR: 28  8. see below in explanation

Step-by-step explanation:

7. 31-19=12

    39-11= 28

You subtract Q1 from Q3 to get the IQR.

8. I believe the morning group of dogs would be easier to walk as one group because the group has a closer range of weights (12-39) compared to the afternoon group of (8-51). Walking a large group of dogs with similar weights would be easier than walking a group of very small and very large dogs at the same time because their pace of walking would be so different.

AND means multiply, so if probability is dependent on two things happening, then we will multiply the individual probabilities together.

1. P(A and 1) = 1/4 x 1/6 = 1/24

2. P(C and 2) = 1/4 x 2/6 = 2/24 = 1/12

3. P(B and 3) = 2/4 x 1/6 = 2/24 = 1/12

4. P(A and 4) = 1/4 x 2/6 = 2/24 = 1/12

5. P(C and 3) = 1/4 x 1/6 = 1/24

6. P(B and 2) = 2/4 x 2/6 = 4/24 = 1/6

7. P(a consonant and an odd #) = 3/4 x 2/6 = 6/24 = 1/4

8. P(a consonant and a prime #) = 3/4 x 3/6 = 9/24 = 3/8

9. P(a vowel and a 5) = 1/4 x 0/6 = 0

10. P(a vowel and a number less than 3) = 1/4 x 3/6 = 3/24 = 1/8

11. P(B and 1) = 2/4 x 1/6 = 2/24 = 1/12

Experimental probability is based on something that has already happened, or data that has already been collected.

12. P(1) = 3/30 = 1/10

13. P(2) = 8/30 = 4/15

14. P(3) = 7/30

15. P(4) = 5/30 = 1/6

16. P(5) = 3/30 = 1/10

17. P(6) = 4/30 = 2/15

Hope this helps!

Answer:

x = 2 or -2

Step-by-step explanation:

This is a regular hexagon

To find the value of x we will have to find the sum of interior angles first and to do that:

(n-2)*180 (n is the number of angles)

(6-2)*180 = 720 is the sum of all six angles

since this is a regular hexagon, all angles has equal measures so

720/6 = 120 now

30x^2 = 120 divide both sides by 30

x^2 = 4 find the root of both sides

x = 2 or -2

After 6 hours the drug remains is 19.66 mg if the drug decays at a rate of 20 percent per hour.

During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.

We have:

If a doctor prescribes 75 milligrams of a specific drug to her patient how many milligrams of the drug will remain in the patients' bloodstream.

We know the exponential decay can be given as:

D = a(1 - r)ⁿ

a is the starting value and n is the number of hours.

D = 75(1 - 0.20)⁶

D = 19.66 milligrams

Thus, the after 6 hours the drug remains is 19.66 mg if the drug decays at a rate of 20 percent per hour.

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Answer: (0, 1), (-1, -3)

Given two equation's:

Solve them simultaneously:

[tex]\sf 2x^2 + 6x + 1 = -4x^2 + 1[/tex]

[tex]\sf 2x^2 + 4x^2 = 1 - 1[/tex]

[tex]\sf 6x^2 + 6x = 0[/tex]

[tex]\sf 6x(x + 1) = 0[/tex]

[tex]\sf 6x = 0, \ x + 1 = 0[/tex]

[tex]\sf x = 0, \ x = -1[/tex]

(a) When x = 0,     y = −4(0)² + 1 = 1

(b) When x = -1,    y = -4(-1)² + 1 = -3

Solution: (x, y) → (0, 1), (-1, -3)

Answer:

System of equations

[tex]\large \begin{cases}y=2x^2+6x+1\\y = -4x^2+1\end{cases}[/tex]

To solve the given system of equations, use the substitution method:

[tex]\large\begin{aligned}2x^2+6x+1 & = -4x^2+1\\2x^2+6x+1+4x^2-1 & = 0\\6x^2+6x & = 0 \\6x(x+1) & = 0\\\implies x+1 & = 0 \implies x=-1\\\implies 6x & = 0 \implies x=0\end{aligned}[/tex]

Therefore the x-values of the solutions are:

        [tex]\large \begin{aligned}x & =-1\\x & =0\end{aligned}[/tex]

Substitute the found values of x into the second equation to find the y-values:

[tex]\large \begin{aligned}x & =-1 & \implies &-4(-1)^2+1 =-3 & \implies & (-1,-3)\\x & =0 & \implies & -4(0)^2+1 =1 & \implies & (0,1)\end{aligned}[/tex]

Therefore, the solutions of the system of equations are:

(-1, -3) and (0, 1)

Answer:

26 degrees.

Step-by-step explanation:

The angles of triangles will always add up to 180 degrees.

The first angle is 50 degrees.

The second angle, is shown with a 76 degree angle next to it.

Since this is a 180 degree line, we can find the angle of the bottom right corner by doing 180 - 76. 180 - 76 is 104.

104 + 50 = 154 degrees.

The remaining 26 degrees is the answer to the value of y.

Answer:

a, b, d, e

maybe c

Step-by-step explanation:

Answer:

  B; (-4, -8)

Step-by-step explanation:

The given forms of the equation are standard form, vertex form, and intercept form.

__

It is not surprising that the vertex form yields the vertex most quickly.

  B) m(x) = 2(x +4)² -8

Compare this to the generic vertex form ...

  f(x) = a(x -h)² +k . . . . . . . . . vertex (h, k)

We see that the vertex is (h, k) = (-4, -8).

The given sum for n = 1 to n = 15 is equal to 255, so the correct option is B.

We want to find the sum of the series whose elements are of the form:

(2n + 1)

From n = 1 to n = 15.

Then our sum will be:

(2*1 + 1) + (2*2 + 1) + ... + (2*15 + 1).

3 + 5 + ... + 31

This is the sum of all odd numbers in the interval [3, 31]

Which gives:

[tex]S = 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 + 27 + 29 + 31 = 255[/tex]

So the correct option is B.

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Answer:

x=2

9+2=11

6+2=8

8x11+88

Step-by-step explanation:

The equation x = 7 - 4√3 is a radical expression, and the value of the radical expression is [tex](x + \frac 1x)^2 = 3650401 -2107560\sqrt 3[/tex]

The equation is given as:

x = 7 - 4√3

So, we have:

[tex](x + \frac 1x)^2 = (7 - 4\sqrt 3 + \frac{1}{7 - 4\sqrt 3})^2[/tex]

Take the LCM

[tex](x + \frac 1x)^2 = (\frac{49 -56\sqrt3 + 48}{7 - 4\sqrt 3})^2[/tex]

Evaluate the like terms

[tex](x + \frac 1x)^2 = (\frac{97 -56\sqrt3 }{7 - 4\sqrt 3})^2[/tex]

Rationalize

[tex](x + \frac 1x)^2 = (\frac{(97 -56\sqrt3)(7 - 4\sqrt 3) }{49 -48})^2[/tex]

Evaluate the difference

[tex](x + \frac 1x)^2 = ((97 -56\sqrt3)(7 - 4\sqrt 3))^2[/tex]

Expand

[tex](x + \frac 1x)^2 = (679 -388\sqrt 3 -392\sqrt 3 + 672)^2[/tex]

Evaluate the like terms

[tex](x + \frac 1x)^2 = (1351 -780\sqrt 3 )^2[/tex]

Expand

[tex](x + \frac 1x)^2 = 1825201 +1825200 -2107560\sqrt 3[/tex]

[tex](x + \frac 1x)^2 = 3650401 -2107560\sqrt 3[/tex]

Hence, the value of the radical expression is [tex](x + \frac 1x)^2 = 3650401 -2107560\sqrt 3[/tex]

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The distance around the perimeter would be 120 ft.

Perimeter is the distance around the edge of a shape.

The complete question is

A garden is designed in the shape of a rhombus formed from 4 identical 30°-60°-90° triangles. The shorter distance across the middle of the garden measures 30 feet.

A rhombus is shown. Lines are drawn from each point to the opposite point to form 4 right triangles. The other 2 angle measures are 30 and 60 degrees. The base length of each triangle is 15 feet.

What is the distance around the perimeter of the garden?

let AE is the half of the diagonal AC.

AC = 30 ft.

So, AE = ½ * 30

AE = 15 ft

Now, using trigonometry

sin 30 = 15/AD

0.5= 15/AD

AD= 30 ft

Hence, distance around the perimeter would be: AD+AD+AD+AD=

=30 ft + 30 ft + 30 ft + 30 ft

= 120 ft.

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Answer:A

Step-by-step explanation: just took it

Answer:

[tex](f+g)(x) = -8x-6[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]\displaystyle f(x) = -5x - 4 \text{ and } g(x) = -3x - 2[/tex]

And we want to find:

[tex](f+g)(x)[/tex]

Recall that this is equivalent to:

[tex]\displaystyle (f+g)(x) = f(x) + g(x)[/tex]

Substitute and simplify:

[tex]\displaystyle \begin{aligned} (f+g)(x) &= (-5x-4)+(-3x-2) \\ \\ &= -8x-6 \end{aligned}[/tex]

In conclusion:

[tex](f+g)(x) = -8x-6[/tex]

Answer:

it would be a vertical shift of 5 down

Step-by-step explanation:

I'm learning the same thing rn and that's right

Answer:

(y - 6)(y + 8)

Step-by-step explanation:

Find two numbers that add to 2 and multiply to -48. Then put them in the form above. Afterwards, use FOIL (First, Outside, Inside, Last) to check the factoring and you get: y² + 2y - 48

Have a great day! :)

Answer:

−8, 6

Step-by-step explanation:

Write the factored form using these integers. (y−8) (y+6)

The surface area will be equal to option B which is 1008 square centimeters.

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.

The surface area of the prism will be calculated as:-

SA = area of the three rectangular faces + area of the triangular faces

Area of the rectangular faces = ( 15 X 25 ) + ( 25 X 12 ) + ( 25 X 9 )

                                                 = 375 + 300 + 225

                                                 = 900 square cm

Area of the triangular  [tex]=\sqrt{(s(s-a)(s-b)(s-c)[/tex]

                                     = [tex]\sqrt{(18(18-15)(18-12)(18-9)}[/tex]

                                     = √2916

                                     = 64

Total area of the rectangular face = 2 x 54 = 108

So the total SA area of the prism will be = 900 + 108= 1008 square cm.

Therefore surface area will be equal to option B which is 1008 square centimeters.

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