4
3
2
1
m H
1 2 3 4
-4-3-2-1
-1
-2
3
Simplify completely
Slope = [?]
rise

Hey there!

-7x + 21 > -14

SUBTRACT 21 to BOTH SIDES

-7x + 21 - 21 > -14 - 21

SIMPLIFY IT!

NEW EQUATION: -7x > -35

DIVIDE -7 to BOTH SIDES

-7x/-7 > -35/-7

SIMPLIFY IT!

x < 5

Therefore, your answer is: x < 5

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

Isolate the term of x from one side of the equation.

First, subtract by 21 from both sides.

-7x+21-21>-14-21

Solve.

Add or subtract the numbers from left to right.

-14-21=-35

Rewrite the problem down.

-7x>-35

Then, multiply by -1 from both sides.

[tex]\sf{\left(-7x\right)\left(-1\right) < \left(-35\right)\left(-1\right)}[/tex]

Solve.

7x<35

Divide by 7 from both sides.

7x/7<35/7

Solve.

Divide the numbers from left to right.

35/7=5

x<5

I hope this helps! Let me know if you have any questions.

Answer: 4

Step-by-step explanation: It's the Pythagorean theorem. a^2+b^2=c^2. You want to set up the equation as a+2^2=5^2, you would subtract 4 from 25 and get 16, square root 16 and you get 4.

Answer:

-14 - 11i

Step-by-step explanation:

You may be learning about the imaginary number, i. Even though i is actually the squareroot of -1, when you are doing algebra with it, it acts just like a variable does. The special thing to remember about i is that i^2 is -1. But we don't even need that right now for this problem.

(-14 + 3i) - (14i)

= -14 + 3i - 14i

Combine the i's

= -14 - 11i

That's it. The -14 is the a, and the -11 is the b in a+bi.

If necessary to fill in a computer answer that is already formatted with a plus, like:

_ + _i

then use -14 for a and -11 for b.

Answer:

Rectangle (Brainliest please)

Step-by-step explanation:

Answer:

1) 3 weeks

2) $60

3) 6 weeks

4) $50

5) No, because they are already saving at the same rate, so if they continue to do so, their amounts will never meet. This is also because the lines in the graph are parallel, and parallel lines never meet.

Answer:

156 [in²].

Step-by-step explanation:

1) total area consists of six parts (all the details are in the attachment):

A=2A₁+2A₂+A₃+A₄;

2) according to the formula above:

A=2*5*3+2*0.5*(6+12)*4+6*3+12*3=156 [in²].

Answer:

Side 3 = a - 2

Step-by-step explanation:

Perimeter of a ∆ = sum of all the sides of a triangle

Perimeter of the given ∆ = 6a + 3 units

Side 1 = 2(a + 3)

Side 2 = 3a - 1

Side 3 = ?

Therefore:

Side 3 = Perimeter - sum of side 1 and 2

Thus:

Side 3 = 6a + 3 - [2(a + 3) + (3a - 1)]

Side 3 = 6a + 3 - [2a + 6 + 3a - 1]

Side 3 = 6a + 3 - [5a + 5]

Side 3 = 6a + 3 - 5a - 5

Side 3 = a - 2

Step-by-step explanation:

Answer:

x > 20/7

good luck on your test <3

Answer:

[tex] x = 0 [/tex]  or  [tex] x = -\dfrac{11}{3} [/tex]

Step-by-step explanation:

I assume the denominators are x + 5 and x + 4 although that is not what you wrote.

[tex] \dfrac{4x}{x+5} = \dfrac{x}{x+4} [/tex]

[tex] (x + 4)(x + 5)\times \dfrac{4x}{x+5} = (x + 4)(x + 5) \times \dfrac{x}{x+4} [/tex]

[tex] (x + 4)(4x) = (x + 5)(x) [/tex]

[tex] 4x^2 + 16x = x^2 + 5x [/tex]

[tex] 3x^2 + 11x = 0 [/tex]

[tex] x(3x + 11) = 0 [/tex]

[tex] x = 0 [/tex]  or  [tex] 3x + 11 = 0 [/tex]

[tex] x = 0 [/tex]  or  [tex] 3x = -11 [/tex]

[tex] x = 0 [/tex]  or  [tex] x = -\dfrac{11}{3} [/tex]

The factor of the given polynomial n² + 26n + 88 is (n + 4) and (n + 22). Then the correct option is B.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The polynomial is given below.

n² + 26n + 88

Then the factor of the given polynomial will be

n² + 22n + 4n + 88

n(n + 22) 4(n + 22)

(n + 4)(n + 22)

More about the factorization link is given below.

https://brainly.com/question/6810544

Answer:

B

Step-by-step explanation: The 2nd number in the equation represents the y axis so if its moving 7 units down its -7 on the y axis which makes it 9x-7

Answer: C

Step-by-step explanation:

The distance d from port c to port a from the given ship movement is gotten as; 7.7 miles.

We are given;

Ferry travels east 3.5 miles from Port b.

Then it turns 75° south and travels for 6 miles till it gets to Port c

To get the distance d from port c to port a, we would make use of cosine rule which is;

c = √(a² + b² - 2ab*cos C)

Thus;

d = √(3.5² + 6² - 2(3.5 * 6)*cos 75))

d = 7.7 miles

Read more about bearings at; https://brainly.com/question/17612866

#SPJ4

Answer:

Step-by-step explanation:7.7 miles

Answer:

- 25

Step-by-step explanation:

A= 0(4-0)+7(0-3)+4(3-4) = -25

Answer:

that it is formed by numbers and steps followed are BODMAS

Answer:

$2,552

Step-by-step explanation:

Here you will need a calculator or a paper and pencil. The easiest way to do this is to find the perimeter

So we got a rectange

                  38 Feet

                   _____

                   l         l

   20 Feet   l         l  20 Feet

                   l____l

               38 Feet

Next you need to add all of the sides together to get 100 Feet. Finally you just multiply the cost per foot by 116 to get the total cost of 2,552

Answer:

see below

Step-by-step explanation:

l,w,h  are all = 4 in

sa = 4x4 * 6 = 96 in^2

Answer: 4331ml, 4850mm, 25.6m, 133cm, 320g, 0.000185km, 0.0014km, 500g

Step-by-step explanation: All listed above

The time of flight of the rabbit whose motion is described rounded to the nearest hundredth is; 0.71s

According to the task content;

It follows that the motion of the rabbit was a projectile motion.

Hence, the time of flight of the rabbit is;

T = 2(7) sin 30/9.8.

T = 0.71s

On this note, the time of flight for which the rabbit stayed in the air is; 0.71s.

Read more on time of flight;

https://brainly.com/question/4441382

Answer:

3

Step-by-step explanation:

they give you all the possible outcomes, all they are asking for is how many of those outcomes have only one head in it

Answer:

3; HTT, THT, TTH

H means heads, T means tails, therefore there are 3 pairs with 1 letter H.

Answer:

The total perimeter here is P =21x + 7

Step-by-step explanation:

Let W and L represent the width and length of the rectangle.  Then the perimeter is P = 2W + 2L.  Substituting 3x + 1 for W and 3(3x + 1) for L, we get

P = 2(3x + 1) + 2*3*(3x + 1), or P = 7(3x + 1) = P =21x + 7

Answer:

3060 [tex]cm^{2}[/tex]

Step-by-step explanation:

Find the cross-sectional area first of the trapezium

[tex]\frac{1}{2} (a+b)h[/tex]

So,  [tex]\frac{1}{2}(6+34)15[/tex]

which is 40 / 2 x 15 = 20 x 15 = 300 [tex]cm^{2}[/tex]

Since there are 2 trapeziums (on the front and back): 300 x 2 = 600[tex]cm^{2}[/tex]

Find the Area of the Rectangles

The first rectangle on the top would be: 6x30 = 180 [tex]cm^{2}[/tex]

The slanted rectangle on the right would be: 25x30 = 750 [tex]cm^{2}[/tex]

The rectangle on the bottom would be: 30x34 = 1020 [tex]cm^{2}[/tex]

The hidden rectangle on the left would be: 17 x 30 = 510 [tex]cm^{2}[/tex]

So by combining all these calculations, you will get the total surface area which is:

600 + 180 + 750 + 1020 + 510 = 780 + 1770 + 510 = 2550 + 510 = 3060 [tex]cm^{2}[/tex]

Answer:

y ≤ 1

Step-by-step explanation:

Range is the values of y that the graph can have

Answer:

B. 0.000096 (4 zeroes after the decimal point because 10^4)

Step-by-step explanation:

0.96 / 10^4 = 0.000096

when dividing, the decimal moved left and you must add zeroes!

Answer:

192

Step-by-step explanation:

because if you multiply 2 by 96 then you get your answer

Answer:

[tex]\dfrac{12x^{16}-18x^8-42x^6}{-6x^5}=-2x^{11}+3x^3+7x[/tex]

Step-by-step explanation:

Replace the questions marks with letters:

[tex]\dfrac{12x^{a}-18x^8+bx^6}{cx^d}=ex^{11}+3x^f+7x[/tex]

[tex]\textsf{Apply the fraction rule}\quad \dfrac{a+b+c}{d}=\dfrac{a}{d}+\dfrac{b}{d}+\dfrac{c}{d}[/tex]

[tex]\implies \dfrac{12x^{a}}{cx^d}-\dfrac{18x^8}{cx^d}+\dfrac{bx^6}{cx^d}=ex^{11}+3x^f+7x[/tex]

Taking the second term and calculating the coefficient of the denominator:

[tex]\implies -\dfrac{18x^8}{cx^d}=3x^f[/tex]

[tex]\implies \dfrac{-18}{c}=3[/tex]

[tex]\implies c=\dfrac{-18}{3}=-6[/tex]

Taking the first term, substituting the found coefficient of the denominator and calculating the coefficient e:

[tex]\implies \dfrac{12x^{a}}{cx^d}=\dfrac{12x^{a}}{-6x^d}=ex^{11}[/tex]

[tex]\implies e=\dfrac{12}{-6}=-2[/tex]

Taking the third term, substituting the found coefficient of the denominator, and calculating the coefficient of the numerator and the exponent:

[tex]\implies \dfrac{bx^6}{cx^d}=\dfrac{bx^6}{-6x^d}=7x[/tex]

[tex]\implies 6-d=1\implies d=5[/tex]

[tex]\implies \dfrac{b}{-6}=7 \implies b=-42[/tex]

Taking the first term, substituting the found coefficient and exponent of the denominator and the found coefficient e, and calculating the exponent of the numerator::

[tex]\implies \dfrac{12x^{a}}{cx^d}=ex^{11}[/tex]

[tex]\implies \dfrac{12x^{a}}{-6x^5}=-2x^{11}[/tex]

[tex]\implies a-5=11 \implies a=16[/tex]

Taking the second term, substituting the found coefficient and exponent of the denominator, and calculating the exponent f:

[tex]\implies -\dfrac{18x^8}{cx^d}=-\dfrac{18x^8}{-6x^5}=3x^f[/tex]

[tex]\implies f=8-5=3[/tex]

Substituting all found letters:

[tex]\dfrac{12x^{16}-18x^8-42x^6}{-6x^5}=-2x^{11}+3x^3+7x[/tex]

Answer:

option D is is that correct answer

Answer:

B. -6 ≤ x ≤ -4

Step-by-step explanation:

1. Rewrite the inequality in standard form:

x² + 2x - 24 ≤ 0

2. Factor x² + 2x - 24:

(x-4)(x+6) ≤ 0

3. Identify the intervals:

x - 4+4 = 0+4, x + 6-6 = 0-6

x = 4, x = -6

In conclusion:

-6 ≤ x ≤ -4

hope this helps!

Answer:

yes

Step-by-step explanation:

Could not simplify further

Answer:

No, it's not a perfect square.

Step-by-step explanation:

First of all a perfact square should never end with 2, 3, 7 or 8, if it does than its not a perfect square.

103 ends with "3", so therefore, it's not a perfect square.