Which of the following are solutions to the equation below?
Check all that apply.
x2 + 4x + 4 = 12

Answer:

3.25 <26.50 (put a line under the < sign please  Ok)

0mar can buy 8 bracelets

Step-by-step explanation:

40.00 -13.50 (for hat)

=26.50 remaining

each bracelet cost 3.25  

let x be the bracelets

3.25x < 26.50  (put a line under the < sign ok )

divide both sides by 3,25

3.25x /3.25 < 26.50 /3.25  (put line under the < sign)

x = 8.15   Bracelets cant be in decimal form so round to the nearest whole number   x < 8  (put a line under the < sign)

Therefor Omar can buy  8 bracelets

Answer: n=5

Step-by-step explanation:

2-3|4n+1| = -61

⇒ |4n+1| = 21

⇒ n= 5

Answer:

no

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer:

y = 20 degrees.

Step-by-step explanation:

Both base angles are 25 degrees so 5x = 25 giving x = 5.

3y + 70 = 180 - 2(25) = 130

3y = 130 - 70 = 60

y = 60/3 = 20.

Answer: If two concentric circles are projected onto each other, then there is only one homothety that maps one circle onto the other. This is because the center of the circles is the only point that remains fixed under the homothety.

Answer:

3

Step-by-step explanation:

Answer:

\(\left[\begin{array}{cccc}1&0&1&|-1\\-3&-9&3&|27\\3&2&0&|-2\end{array}\right]\)

Step-by-step explanation:

Given [Missing from the question]

\(\left[\begin{array}{cccc}1&0&1&|-1\\1&3&-1&|-9\\3&2&0&|-2\end{array}\right]\)

Required

\(R_2 \to -3R_2\)

This implies that, we form a new matrix where the second row of the new matrix is a product of -3 and the second row of the previous matrix.

So, we have:

\(Initial =\left[\begin{array}{cccc}1&0&1&|-1\\1&3&-1&|-9\\3&2&0&|-2\end{array}\right]\)

\(New =\left[\begin{array}{cccc}1&0&1&|-1\\-3*1&-3*3&-3*-1&|-3*-9\\3&2&0&|-2\end{array}\right]\)

\(New =\left[\begin{array}{cccc}1&0&1&|-1\\-3&-9&3&|27\\3&2&0&|-2\end{array}\right]\)

Answer:

Option A

Step-by-step explanation:

Since segment AD bisects angle BAC, the value of x is equal to 14.6.

In Mathematics, an angle bisector can be defined as a type of line, ray, or segment, that bisects or divides a line segment exactly into two (2) equal angles.

By applying the angle bisector theorem to this triangle (ΔABC), we have:

AB/BD = AC/DC

19/x = 17/(20 - x)

17x = 19(20 - x)

17x = 380 - 19x

19x + 17x = 380

26x = 380

x = 380/26

x = 14.6.

In conclusion, we can reasonably infer and logically deduce that the value of x in triangle ABC is 14.6.

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Question:

QS and TV are parallel lines.



What angles are alternate exterior angles?



Options:

a) b) c) d)

Solution:

Remember that the alternate exterior angles are the exterior angles found on either side of the secant. Then, in our case we have that the alternate exterior angles are:

QRP and SRP



Answer:

2.2 is the naswer

Step-by-step explanation:

its the sum

ANSWER

A 153/225 = 17/25 =0.68=68%

B 225/153 = 25/17 =1.47=147%

C 153/225 = 51/75 =0.51=51%

D 225/153 = 75/51 =0.75=75%

Answer:

1. x < -8

2. y + 2 > -5

3. Yes, because -16 is less than -3

4. No, because -6 is less than -4

5. a > 6

6. k < -11

7. y  > -6

8. b < -3/7

9. x > -2.8

10. r < -0.9

Answer:

-117

Step-by-step explanation:

2x1+48-5x48+96-23=-117

First multiplication

2×1=2

5×48=240 ->

2+48-240+96-23

2+48=50

50-240=-190

-190+96=-94

-94-23=-117

Hope that helped! Let me know if you have any further questions.

Answer: True

Step-by-step explanation: both equal 7

Step-by-step explanation:

-16(2)<4x(2)-x/2(2)

-32<8x-x

-32<7x

-32/7<7x/7

-32/7<x

-4.5714285714285714<x

~-4.56<x

So after drawing the number line, indicate it starting from negative 4.6 and pointing the arrow towards the right. Do not shade

Answer:

  an = 1/n^2

Step-by-step explanation:

We notice that the denominators are the squares of successive integers. The general term will be ...

  \(\boxed{a_n=\dfrac{1}{n^2}}\)

Answer:

Given formula:

1.

Find d(7), d(8) and d(9)

2.

The ratios are

As we see the ratios are same. This is due to the exponential nature of the function. 0.944 is the common ratio between two consecutive distances.

Step-by-step explanation:

Hope It Helps U

Answer:

They are both the same.

Step-by-step explanation:

If you are doing for an hour for Gym B you would do .75 cents for ever 5 minutes of that hour.

60 minutes in an hour so

60/5=12

12*0.75=9.00

So both Gyms are the same.

The quantity of more flour that she needs to add would be = 3/4

A fraction is defined as the representation of the part of a whole data in a form of numerator and denominator.

The quantity of flour Ryan needs for baking = 3¼

The quantity of flour she has already added = 2½

The remaining amount that she needs to add;

= 3¼-2½

= 3/4

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Answer:

A) unit rate

Hope this helps

Answer:

20 more books

Step-by-step explanation:

£204 - £35.50 = £168.50

168.50/8.25 = 20.42

We obviously can't buy 0.42 of a book, so you round down and get 20 books

Answer:

4 5/12

Step-by-step explanation:

19/4 - 1/3 = ?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(19/4, 1/3) = 12

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal to the LCD. This is basically multiplying each fraction by 1.

(19/4 × 3/3)− (1/3 × 4/4)=?

Complete the multiplication and the equation becomes

57/12−4/12=?

The two fractions now have like denominators so you can subtract the numerators.

Then:

57−4/12= 53/12

This fraction cannot be reduced.

Answer: 11.5

Step-by-step explanation: turn the improper fraction into proper fraction.

Answer:

The answer is option C.

Step-by-step explanation:

Alternate angles are equal y is alternate to 60° so y is 60°

Hope this helps you

Answer:) hope this helps

60

Step-by-step explanation:) hope this helps

C. 60

Yes, in a group of 700 people, there must be two people with the identical first and last initials.

Because there are 26 distinct letters in the English alphabet, there are 26 × 26 = 676 potential combinations of two initials. According to the pigeonhole principle, at least two people in a group of 700 share the same initials. (Here: persons are pigeons, combinations of two initials are pigeonholes).

Note that in alphabets with 27 or more letters, this is no longer valid because there are 27 × 27 = 729 > 700 options for the initials.

If we try to assign a distinct combination to each individual in the group, we can only do so for the first 676 persons, leaving the remaining 24 with the same first and last initial. As a result, the answer is yes, there must be two people with the same first and last initials.

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Correct question:

In a group of 700 people, must there be 2 who have the same first and last initials? Why?

The solution for the given inequality is :

x < -19

In interval notation it is:

(-∞, -19)

And the graph can be seen in the image below-

Here we have the following inequality:

7*(2x + 5) < 3*(4x - 1)

To solve it, we need to isolate x in one of the sides of the inequality. Doing that we will get:

14x + 35 < 12x - 3

14x - 12x < -3 - 35

2x < - 38

x < -38/2

x < -19

This is the solution, written in interval form it is:

(-∞, -19)

And to graph this, we need to graph an open dot at x = -19 (which means that x = -19 is not a solution) and a line that goes to the left, it will be something like in the image below.

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The graph of the parametric equations x = -2cos(t) and y = -sin(t) within the range 0 ≤ t < 2π is an ellipse centered at the origin, with the major axis along the x-axis and a minor axis along the y-axis.

To sketch the graph of the parametric equations x = -2cos(t) and y = -sin(t), where 0 ≤ t < 2π, we need to plot the coordinates (x, y) for each value of t within the given range.

1. Start by choosing values of t within the given range, such as t = 0, π/4, π/2, π, 3π/4, and 2π.

2. Substitute each value of t into the equations to find the corresponding values of x and y. For example, when t = 0, x = -2cos(0) = -2 and y = -sin(0) = 0.

3. Plot the obtained coordinates (x, y) on a graph, using a coordinate system with the x-axis and y-axis. Repeat this step for each value of t.

4. Connect the plotted points with a smooth curve to obtain the graph of the parametric equations.

The graph will be an ellipse centered at the origin, with the major axis along the x-axis and a minor axis along the y-axis. It will have a vertical compression and a horizontal stretch due to the coefficients -2 and -1 in the equations.

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Answer:

a

Step-by-step explanation:

The lateral area of the square pyramid in this problem is given as follows:

672 ft².

The area of a rectangle of base b and height h is given by half the multiplication of dimensions, as follows:

A = 0.5bh.

Considering a right triangle with sides of 14/2 = 7 ft and h ft, and hypotenuse of 25 ft, applying the Pythagorean Theorem, the height of each lateral face is given as follows:

h² + 7² = 25²

\(h = \sqrt{25^2 - 7^2}\)

h = 24.

The lateral area of the pyramid is composed by four triangles of base 14 ft and height 24 ft, hence it is given as follows:

LSA = 4 x 1/2 x 14 x 24

LSA = 672 ft².

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The vertex of the function is (7, 30)

The axis of symmetry of the function is 7.

The maximum value of the function is 166.

The domain of the function is  {-∞, ∞)

The range of the function is  (-∞, 30] U [30, ∞)

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = -(x - 7)² - 30

f(x) = -(x² - 14x + 49) - 30

f(x) = -x² + 14x - 49 - 30

f(x) = -x² + 14x - 79

The function is in the form of ax² + bx + c

The axis of symmetry is -b/2a.

= -b/2a

= -(14)/(2 x -1)

= 14/2

= 7

The vertex of the function.

= (x, y)

x = -b/21

x = 7

Now,

f(x) = -x² + 14x - 79

y = -49 + 98 - 19

y = -68 + 98

y = 30

Now,    

f'(x) = 0

-2x + 14 = 0

-2x = 14

x = -7

f''(x) = -2 (negative)

f(x) has maximum value at x = -7.

The maximum value.

f(-7) = (-7 - 7)² - 30 = 166

Now,

f(0) = 49 - 30 = -1

f(1) = 36 - 30 = 6

f(2) = 25 - 30 = -5

f(3) = 16 - 30 = -14

f(4) = 9 - 30 = -21

f(5) = 4 - 30 = -26

f(6) = 1 - 30 = -29

f(7) = -30 = -30

f(8) = 1 - 30 = -29

Domain = {-∞, ∞)

Range = (-∞, 30] U [30, ∞)

Thus,

The vertex is (7, 30)

The axis of symmetry is 7.

The maximum value of the function is 166.

The domain and range of the function are  {-∞, ∞) and (-∞, 30] U [30, ∞).

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