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True [87]
3 years ago
11

Help me pleeeeeeeeeaze

Mathematics
1 answer:
kobusy [5.1K]3 years ago
5 0

a(x+3) < 5x+15-x\\\\ax+3a < 5x+15-x\\\\ax+3a < 4x+15\ \ \ |-3a\\\\ax < 4x+15-3a\ \ \ \ |-4x\\\\ax-4x < 15-3a\\\\(a-4)x < 15-3a\\\\\text{The solution is all real numbers if}\ a-4=0\ \ \ |+4\\\\\boxed{a=4}\\\\\text{Check:}\\\\4(x+3) < 5x+15-x\\4x+12 < 4x+15\ \ \ \ |-4x\\12 < 15\ TRUE\to x\in\mathbb{R}

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Devin is collecting signatures for a petition to open a new park in her town. She needs to collect at least 1,000 signatures bef
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H(t) = −t2 + t + 1 h(x + 1)
Harman [31]

The value of the function h(x + 1) is -x^2 - x + 1

<h3>How to evaluate the function?</h3>

The equation of the function is given as:

h(t) =-t^2 + t + 1

The function is given as:

h(x + 1)

This means that t = x + 1

So, we substitute t = x + 1 in the equation h(t) =-t^2 + t + 1

h(x + 1) =-(x + 1)^2 + (x + 1) + 1

Evaluate the exponent

h(x + 1) =-(x^2 + 2x + 1) + x + 1 + 1

Expand the brackets

h(x + 1) = -x^2 - 2x - 1 + x + 1 + 1

Evaluate the like terms

h(x + 1) = -x^2 - x + 1

Hence, the value of the function h(x + 1) is -x^2 - x + 1

Read more about functions at:

brainly.com/question/1415456

#SPJ1

<u>Complete question</u>

Consider the following function definition, and calculate the value of the function

h(t) = −t2 + t + 1 h(x + 1)

3 0
1 year ago
A certain high school has 1,488 students. If you subtract the number of girls from boys you get 78. Let x be the number of boys
Dahasolnce [82]

Answer:

boys = 705

girls = 783

Step-by-step explanation:

We are to find the number of boys and girls in the school

the answer can be determined using simultaneous equation

x = boys

y = girls

y - x = 78  equation 1

y + x  = 1488 equation 2

subtract equation 1 from 2

2x = 1410

x = 1410/2 = 705

Substitute for x in equation 1

y - 705 = 78

y = 705 + 78 = 783

3 0
2 years ago
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