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svp [43]
3 years ago
5

H(x)=-4x - 7, when x = 3

Mathematics
2 answers:
Brrunno [24]3 years ago
3 0

Answer:

-19

Step-by-step explanation:

To solve this plug 3 in for x.

  1. H(x)= -4 (3) - 7
  2. H(x)= -12 - 7
  3. H(x)= -19
cricket20 [7]3 years ago
3 0
It’s going to be -19
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In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horiz
Arlecino [84]

The coordinates of point C that forms the triangle is; (2, -1)

<h3>How to partition a line segment?</h3>

We are told that point D divides line segment AB in the ratio of 5:3.

The line segment division formula is;

(x, y) = (m₁x₂ + m₂x₁)/(m₁ + m₂), (m₁y₂ + m₂y₁)/(m₁ + m₂)

For this question;

x₁ = 2; y₁ = -6; x₂ = 10; y₂ = 2; m₁ = 5; m₂ = 3

Thus, (x, y) gives us;

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D(x, y) = (7, -1)

Now, we need to find the coordinates of C

We will use coordinate system which means the coordinate of x will be the as x coordinate of A since, AC is vertical line

And coordinate of y will be same as y in D since CD is horizontal line. Thus, coordinate of C is; C(2,-1).

Read more about Line segment partition at; brainly.com/question/17374569

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7 0
2 years ago
HELP ILL GIVE 50 POINTS.!!
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6 0
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Step-by-step explanation:

<h3><u>G</u><u>i</u><u>v</u><u>e</u><u>n</u><u> </u><u>Inform</u><u>ation</u><u> </u><u>:</u></h3>

  • Ryan spent 1/3 of his monthly salary for rent and 1/7 of his monthly salary for his utility bill.
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<h3><u>T</u><u>o</u><u> </u><u>calculate</u><u> </u><u>:</u></h3>

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<h3><u>C</u><u>a</u><u>l</u><u>c</u><u>u</u><u>l</u><u>a</u><u>t</u><u>i</u><u>o</u><u>n</u><u> </u><u>:</u></h3>

Let us assume his monthly salary as x. According to the question,

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\longrightarrow\sf {\dfrac{1}{3}x + \dfrac{1}{7}x + 759 = x} \\

\longrightarrow\sf {\dfrac{7x + 3x + 15939}{21}= x} \\

\longrightarrow\sf {\dfrac{10x+ 15939}{21}= x} \\

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\longrightarrow\sf {15939= 21x - 10x} \\

\longrightarrow\sf {15939= 11x} \\

\longrightarrow\sf {\cancel{\dfrac{15939}{11}}= x} \\

\longrightarrow\underline{\boxed{\bf {1449= x}}} \\

<u>Therefore,</u><u> </u><u>his</u><u> </u><u>monthly</u><u> </u><u>income</u><u> </u><u>is</u><u> </u><u>$</u><u>1</u><u>4</u><u>4</u><u>9</u><u>.</u>

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