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iragen [17]
2 years ago
14

-7n - 15 ≥ 21? n ≥ -4 n ≥ 7.2 n ≤ -4 n ≤ 4

Mathematics
1 answer:
ollegr [7]2 years ago
7 0

               - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

\diamond\large\textsf{\textbf{Question:-}}}}

-7n-15≤21. find n

\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}

 ❖ Add 15 to both sides:-

      -7n≤21+15

        -7n≤36

❖ Now divide by -7 on both sides:-

               n≥-5.14 or

                n≥-5

The inequality sign changed because we divided both sides by a negative number.

<h3>Good luck.</h3>

        - - - - - - - - - -- - - - - - - - - - - - - - - - - - - - - - - -

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Vanyuwa [196]

Answer:

-2.5°F

Step-by-step explanation:

-12 - 48 = -60

-60/24 = -2.5°F

7 0
3 years ago
Triangle PQR is transformed to triangle P'Q'R'. Triangle PQR has vertices P(4, 0), Q(0, −4), and R(−8, −4). Triangle P'Q'R' has
Whitepunk [10]

Answer:

Please find attached the required plot accomplished with an online tool

Part A:

1/4

Part B:

P''(-1, 0),  Q''(0, -1), and R''(2, -1)

Part C:

Triangle PQR is similar to triangle P''Q''R'' but they are not congruent

Step-by-step explanation:

Part A:

Triangle ΔPQR has vertices P(4, 0), Q(0, -4), R(-8, -4)

Triangle ΔP'Q'R' has vertices P'(1, 0), Q'(0, -1), R'(-2, -1)

The dimensions of the sides of the triangle are given by the relation;

l = \sqrt{\left (y_{2}-y_{1}  \right )^{2}+\left (x_{2}-x_{1}  \right )^{2}}

Where;

(x₁, y₁) and (x₂, y₂) are the coordinates on the ends of the segment

For segment PQ, we place (x₁, y₁) = (4, 0) and (x₂, y₂) = (0, -4);

By substitution into the length equation, we get;

The length of segment PQ = 4·√2

The length of segment PR = 4·√10

The length of segment RQ = 8  

The length of segment P'Q' = √2

The length of segment P'R' = √10

The length of segment R'Q' = 2

Therefore, the scale factor of the dilation of ΔPQR to ΔP'Q'R' is 1/4

Part B:

Reflection of (x, y) across the y-axis gives;

(x, y) image after reflection across the y-axis = (-x, y)

The coordinates after reflection of P'(1, 0), Q'(0, -1), R'(-2, -1) across the y-axis is given as follows;

P'(1, 0) image after reflection across the y-axis = P''(-1, 0)

Q'(0, -1) image after reflection across the y-axis = Q''(0, -1)

R'(-2, -1) image after reflection across the y-axis = R''(2, -1)

Part C:

Triangle PQR is similar to triangle P''Q''R'' but they are not congruent as the dimensions of the sides of triangle PQR and P''Q''R'' are not the same.

6 0
3 years ago
What are the zeros of the function f(x) = x2 + 8x +4, expressed in simplest radical form?
Elanso [62]

Answer:

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Step-by-step explanation:

Given

f(x) = x² + 8x + 4

To find the zeros let f(x) = 0, that is

x² + 8x + 4 = 0 ( subtract 4 from both sides )

x² + 8x = - 4

To solve using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(4)x + 16 = - 4 + 16

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x + 4 = ± \sqrt{12} = ± 2\sqrt{3} ( subtract 4 from both sides )

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Thus the zeros are

x = - 4 - 2\sqrt{3} and x = - 4 + 2\sqrt{3}

5 0
3 years ago
Lindsey bought supplies for a class project and brought the receipt to school. The 6 items cost:
DochEvi [55]

Answer:

$5

Step-by-step explanation:

$5 appeared more in the prices

5 0
2 years ago
Read 2 more answers
Jason is buying a home theater system on layaway for $349. If he makes a down payment of $25 and pays $54 each week will it take
Gekata [30.6K]
Hey! 
First, you would take 349 and subtract 25 from it.(349-25=324) This gets rid of the down payment. 
Next, you would divide 324 by 54. (324÷54=6)
It would take him 6 weeks! 
Hope this helped! And make sure to check my calculations! 
Godspeed
-Song
5 0
3 years ago
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