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2 years ago

I need this ASAP!! Please show work as well, TY SO MUCH!!

Mathematics

1 answer:

shtirl [24]2 years ago

4 0

Answer:

Step-by-step explanation:

19.

a) to find thhe x- intercept we make y=0

x² +4x -5 = 0

(x+5)(x-1) =0

x+5=0 so x=- 5

x-1 =0 so x= 1

y-intercept is at (0, -5)

axis of symmetry is at

x=-b/2a =-4/2*1 = -2

x= -2

vertex is at (-2, -9) because x coordinate is on the axis of symmetry at -2 and

y= x² +4x -5= (-2) ² +4(-2) -5 = 4-8-5 = 4-13 = -9

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aleksandrvk [35]

Answer:

$118.22

Step-by-step explanation:

Subtract $130.00-$8.00= $122.00

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3 years ago

Read 2 more answers

Function Operations Picture attached

sergeinik [125]

Answer: Second option

Step-by-step explanation:

You need to make the multiplication of the function $c(x)=\frac{5}{x-2}$ and the function $d(x)=x+3$ . Then:

$(cd)(x)=(\frac{5}{x-2})(x+3)$

You need to apply the Distributive property:

$(cd)(x)=\frac{5(x+3)}{x-2}\\\\(cd)(x)=\frac{5x+15}{x-2}$

Therefore, the domain will be all the number that make the denominator equal to zero.

Then, make the denominator equal to zero and solve for x:

$x-2=0\\x=2$

Therefore, the domain is: All real values of x except $x=2$

6 0

3 years ago

Select a composite number to break into factors. continue factoring until all factors are prime

fgiga [73]

Answer:

2*2*3*3*5

Step-by-step explanation:

180 = 18*10

18 and 10 are both composite

= 6*3 * 5*2

3,5,2 are prime but 6 is composite

= 3*2 * 3 * 5 * 2

All the factors are prime

Listing in order

2*2*3*3*5

6 0

3 years ago

xYou volunteer to help drive children at a charity event to the zoo, but you can fit only 6 of the 16 children present in your

brilliants [131]

There are 8008 groups in total, in other to drive the children

<h3>How to determine the number of groups?</h3>

From the question, we have

Total number of children, n = 16
Numbers to children at once, r = 6

The number of group of children that could be carried at once is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 16 and r = 6

Substitute the known values in the above equation

Total = ¹⁶C₆

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 16!/10!6!

Evaluate

Total = 8008

Hence, the number of groups is 8008