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Gnesinka [82]
1 year ago
7

Suppose 4y – 1 = 15 and y = 5x – 3.

Mathematics
1 answer:
Vanyuwa [196]1 year ago
3 0

The equivalent equation of 4y – 1 = 15 is 20x - 13 = 15

<h3>How to determine the equivalent equation?</h3>

The equations are given as:

4y – 1 = 15 and y = 5x – 3.

Substitute y = 5x – 3. in 4y – 1 = 15

4(5x – 3) – 1 = 15

Expand

20x- 12 - 1 = 15

Evaluate the like terms

20x - 13 = 15

Hence, the equivalent equation of 4y – 1 = 15 is 20x - 13 = 15

Read more about equivalent equation at:

brainly.com/question/2972832

#SPJ1

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Mashcka [7]

13.

(a)

y=-5x^2+21x-3

for x = 2:

y=-5(2)^2+21(2)-3=-20+42-3=19

for x = 5

y=-5(5)^2+21(5)-3=-125+105-3=-23

(b)

The graph is:

(c)

Using the graph:

\begin{gathered} x=1.8,y=18.6 \\ x=0.548,y=7 \\ x=3.65,y=7 \end{gathered}\begin{gathered} x=1.8 \\ y=-5(1.8)^2+21(1.8)-3=-16.2+37.8-3=18.6 \end{gathered}\begin{gathered} y=7 \\ -5x^2+21x-3=7 \\ -5x^2+21x-10=0 \end{gathered}

Using the quadratic formula:

\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ x=\frac{-21\pm\sqrt[]{21^2-4(-5)(-10)}}{2(-5)} \\ x=\frac{-21\pm\sqrt[]{241}}{-10} \\ x=0.54758 \\ or \\ x=3.6524 \end{gathered}

6 0
11 months ago
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6 0
3 years ago
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hoa [83]

Answer:

5. (2,4)  6. (-1,6)

Step-by-step explanation:

The solution to multiple graphs is where the two graphs meet.  

(-1,6) is the only point where both of the y values are the same.

7 0
2 years ago
xia has 16 meters of rope. She cuts off 1/6 of the rope to use as a skipping rope for a party activity. how long is xias skippin
katrin2010 [14]

\frac{1}{6}  \times 16 =  \frac{8}{3}  = 2.67m
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6 0
3 years ago
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Lunna [17]

Answer:

B. AA

Step-by-step explanation:

The diagram given shows that two angles in ∆ABC are congruent to two corresponding angles in ∆STU.

Invariably, the third unknown angle of both triangles would also be equal going by the third angle theorem.

Thus, based on the AA Similarity Theorem which says that two triangles are similar to each other if two corresponding angles of one is congruent to two angles in the other, ∆ABC ~ ∆STU.

4 0
2 years ago
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