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LenaWriter [7]
3 years ago
13

Need helppppppppppppppppp

Mathematics
1 answer:
Airida [17]3 years ago
4 0

Answer:

B. x^2+11x+24\leq 150

Step-by-step explanation:

<u>Step 1) </u><u><em>Defining Sue and Jeremy's ages using x</em></u>

Sue is 3 years older than Holly (<em>h</em>):

h=x+3

Jeremy is 5 years older than Sue, or 8 years older than Holly (<em>j</em>):

j=x+8

Product of Jeremy and Sue's ages is less than or equal to 150:

hj\leq 150

<u>Step 2)</u><u><em> Simplifying into a single equation</em></u>

Using the equation above we can substitute Sue and Jeremy's ages:

(x+3)(x+8)\leq 150

Now we can simplify this equation. Use the distributive property first:

x(x+8)=x^2+8x\\3(x+8)=3x+24

Now add all the terms together and get the final answer:

x^2+8x+3x+24\leq 150\\x^2+11x+24\leq 150

Final equation: x^2+11x+24\leq 150

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Plz help I need this to be answered
yawa3891 [41]
The correct graph is D. 

We can tell this for two reasons. Firstly, you would need a dotted line. Since the equation includes a greater than sign, and not a greater than or equal to sign, it must be dotted. 

Then we need to figure out whether to shade above or below the line. The best way to find this is by checking whether the point (0,0) should be shaded. 

y + 2 > -3x - 3
0 + 2 > -3(0) - 3
2 > -3 (TRUE)

Since this is a true statement, the side with (0,0) needs to be shaded. Graph D is the only one that has a dotted line and (0,0) shaded. 
8 0
3 years ago
Find the x- and y-intercept of, y = 1/2x - 7
Arturiano [62]
Y-intercept is (0,-7) x-intercept is (14,0)
7 0
3 years ago
Which of following is the graph of y = -(x + 1)2 -3?
Len [333]

Answer:

See below.

Step-by-step explanation:

The graph of the quadratic equation is a parabola or u shaped graph. It has a vertex at (-1,-3) since h=-1 and k=-3 in the vertex form. It is also facing down since the leading coefficient is negative.

7 0
3 years ago
Read 2 more answers
A small company 's net income for the first 6 months of the year was 76.500 and for the last six months it was 100,000 . What is
inna [77]

Answer:The ratio of net income in the first 6 months, to the last six months is $76,500 / $100,000. This simplifies intuitively as follows:

76500/100000

Dividing by 100: 765/1000

Dividing by 5: 153/200

The denominator 200 is only divisible by the prime numbers 2 and 5, and since the numerator 153 is not divisible by either 2 or 5, this means that this is in simplest form, and the final answer is 153/200.

Step-by-step explanation:i did the research for you this isnt my own answer therefore don't give me the credit. but hope this helped you tho :D

5 0
3 years ago
Given g(x) = -x + 5, solve for x when g(x) = 3.
Elan Coil [88]
Both equal g(x) so put them together

-x+5=3 then solve for x

-x=3-5
-x=-2
-2 divided by -x =2

x=2
5 0
3 years ago
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