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Pachacha [2.7K]
3 years ago
14

Evaluate a + 4 when a =87​

Mathematics
1 answer:
Rainbow [258]3 years ago
3 0

Answer:

81

Step-by-step explanation:

a+4

Let a = 87

87+4

81

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2x + y < 10
ZanzabumX [31]

\left\{\begin{array}{ccc}2x+y < 10\\2x-4y > 8\end{array}\right \Rightarrow\left\{\begin{array}{ccc}y < -2x+10\\y < 0.5x-2\end{array}\right\\(1)\\y=-2x+10\\for\ x=0\to y=-2(0)+10=10\to(0;\ 10)\\for\ x=5\to y=-2(5)+10=0\to(10;\ 0)\\(2)\\y=0.5x-2\\for\ x=0\to y=0.5(0)-2=-2\to(0;\ -2)\\for\ x=4\to y=0.5(4)-2=0\to(4;\ 0)

Answer: 2) E, F, G

5 0
3 years ago
Write g(x) = 40x 4x2 in vertex form. Write the function in standard form. Factor a out of the first two terms. Form a perfect sq
Furkat [3]

The specified function's vertex form is g(x) = 4(x+5)^2 - 100

<h3>What is vertex form of a quadratic equation?</h3>

If a quadratic equation is written in the form

y=a(x-h)^2 + k

then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)

<h3>What is a perfect square polynomial?</h3>

If a polynomial p(x) can be written as:

p(x) = [f(x)]^2

where f(x) is also a polynomial, then p(x) is called as perfect square polynomial

For the considered case, the polynomial specified is;

g(x)  = 40x + 4x^2

  • Case 1: Converting to vertex form

g(x)  = 40x + 4x^2\\g(x) = 4(x^2 + 10) = 4(x^2 + 10 + 25 -25)\\g(x) = 4(x^2 + 10 + 25) - 100 = 4(x+5)^2 - 100\\

Thus, the vertex form of the considered polynomial is g(x) = 4(x+5)^2 - 100

  • Case 2: Converting to standard form

Standard form of a quadratic polynomial is ax^2 + bx + c

Thus, we get: the considered polynomial in standard form as:

g(x) = 4x^2 +40x

  • Case 3: Factoring the first two terms of polynomial

g(x) = 40x + 4x^2 \\g(x) = 4x(10 + x)

  • Case 4: Forming a perfect square trinomial

The considered polynomial has only two terms, therefore, its not a trinomial.

Thus,  the specified function's vertex form is g(x) = 4(x+5)^2 - 100

Learn more about vertex form of a quadratic equation here:

brainly.com/question/9912128

3 0
3 years ago
Read 2 more answers
a particular amusement park ride will make 156 revolutions and 180 seconds at this rate how many revolutions will it make in 2 m
jasenka [17]
Okay so if it makes 156 revolutions in 180 seconds you can figure out how many revolutions it will make in 2 minutes by first dividing 156 by three. this will tell you how many revolutions it will made in 1 minute (180 seconds divided by 3 = 60) so 156/3=52 you then multiply 52 by two to get the revolutions it will make in two minutes, 52 times 2 = 104 The ride will have made 104 revolutions in 2 minutes.
3 0
3 years ago
Read 2 more answers
Solve x-2y=12 if the domain is {-3, -1, 0, 2, 5}
zhenek [66]
Range {-7.5,-6.5,-6,-5,-3.5}
8 0
3 years ago
Convert the following Fahrenheit degrees to Celsius. a. 104° F b. 41° F c. 131° F d. 95° F
PSYCHO15rus [73]

Answer:

a) 104 F=30 C

b) 41 F=5 C

c) 131 F=55

d) 95 F= 35 C

Step-by-step explanation:

8 0
4 years ago
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