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Katena32 [7]
2 years ago
10

Which graph is defined by the function given below? y=(x-2)(x+5)

Mathematics
1 answer:
Igoryamba2 years ago
3 0

Step 1: Foil to get y=x^2+3x-10

Step 2: The C of the equation is -10, which is the y-intercept (so the answer is graph A)

Just to check, you can find the x intercepts

x-2=0

x=2


x+5=0

x=-5


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At smith mountain lake boat rentals, it costs $25 per hour to rent a pontoon boat, plus a one-time charge for cleaning. The Beng
ludmilkaskok [199]

Answer:

The given equation  in slope intercept form is

226.50  = 7.5 (25) + 39  

Step-by-step explanation:

The SLOPE INTERCEPT form of a equation is y = m x + c

The per hour cost for rental of boat  =   $25 per hour

Let us assume the one time cleaning charge = $  k

The boat is booked from 11 am : 6 : 30 pm

So, the number of hours boat was used   =  7 . 5 hours

Hence, the cost for engaging boat for 7.5 hours

= 7.5 (cost per hour )  = 7.5( $25)  = $187 . 5

Total amount paid by the family = $226. 50  =  Fixed cleaning charge  +  rate for 7.5 hours

⇒The cleaning fee paid by the family =    $226. 50 - $187 . 5  = $39

According to question:

Total amount paid  =  Number of hour x (cost per hour )  + Cleaning fee

Hence, the given equation  in slope intercept form is

226.50  = 7.5 ($25) + $39

8 0
2 years ago
A student raises her grade average from a 75 to a 90. What was the percent of increase
son4ous [18]
This can be solved algebraically. Before we start, as context, to find a percentage you multiply by the percentage/100.

75*x=90 \\ x= \frac{90}{75}  \\  \\ \boxed{x=1.2}

This tells us that 90 is 120% of 75. However, your question wants us to find the <em>increase</em>, therefore we don't need that 100.
Therefore, the increase is 20%.
4 0
2 years ago
Rui is a professional deep water free diver.
Vladimir [108]
The correct question is 
<span>Rui is a professional deep water free diver. His altitude (in meters relative to sea level), xxx seconds after diving, is modeled by: d(x)=1/2x^2 -10x What is the lowest altitude Rui will reach?

we have that
</span>d(x)=(1/2)x² -10x

we know that
the function is quadratic (a parabola) 
so
<span>the lowest altitude (depth) is the vertex
</span>
using a graph tool
see the attached figure

the vertex is the point  (10,-50)
that means
His altitude (in meters relative to sea level), 10 seconds after diving is 50 meters under the sea level

therefore
the answer is
<span>the lowest altitude is 50 meters under the sea level</span>

5 0
2 years ago
Read 2 more answers
A STORE IS GIVING AWAY A $10 COUPON TO EVERY 7TH PERSON TO ENTER THE STORE AND A $25 COUPLON TO EVERY 18TH PERSON TO ENTER THE S
ankoles [38]
<span>The lowest common factor of 7 and 18 is 126 (this is a number that both 7 and 18 multiply into, in fact by each other). This means the 126th person will be the first to get both coupons.</span>
7 0
2 years ago
To have a party at Sky Zone, it cost $125 to rent the room and $5.25 a person for pizza and drinks. The following equation repre
mario62 [17]

Answer:

23 people.

Step-by-step explanation:

T=125 + 5.25p

p=23

She'd spend a total of 245.75.

7 0
2 years ago
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