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2 years ago

H(t)=t^2+4t+3 what are the zeroes of the function? Write the smaller t first, and then the larger t second

Mathematics

1 answer:

Anuta_ua [19.1K]2 years ago

5 0

Answer:

t = - 3, t = - 1

Step-by-step explanation:

Given

h(t) = t² + 4t + 3

To find the zeros equate h(t) to zero, that is

t² + 4t + 3 = 0

Consider the factors of the constant term (+ 3) which sum to give the coefficient of the t- term

The factors are + 3 and + 1, since

3 × 1 = 3 and 3 + 1 = 4, thus

t² + 4t + 3 = (t + 3)(t + 1) = 0

Equate each factor to 0 and solve for t

t + 3 = 0 ⇒ t = - 3

t + 1 = 0 ⇒ t = - 1

smaller zero is t = - 3

larger zero is t = - 1

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Find the coordinates for the midpoint of the segment with endpoints given 12,4 and -8,8

borishaifa [10]

<h2>Hello!</h2>

The answer is:

The coordinates of the midpoint are:

$x-coordinate=2\\y-coordinate=6$

We can find the midpoint of the segment with the given endpoints using the following formula.

The midpoint of a segment is given by:

$MidPoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

We are given the points:

$(12,4)\\$

and

$(-8,8)\\$

Where,

$x_{1}=12\\y_{1}=4\\x_{2}=-8\\y_{2}=8$

So, calculating the midpoint, we have:

$MidPoint=(\frac{12+(-8)}{2},\frac{4+8}{2})$

$MidPoint=(\frac{4}{2},\frac{12}{2})$

$MidPoint=(2,6)$

Hence, we have that the coordinates of the midpoint are:

$x-coordinate=2\\y-coordinate=6$

Have a nice day!

8 0

3 years ago

Read 2 more answers

En la granja hay 509 puercos anota el número antecesor y el número sucesor de la cantidad.

nasty-shy [4]

Answer: que

Step-by-step explanation:

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3 years ago

What is the volume of a small cone if:

Amiraneli [1.4K]

Answer:

Volume of smaller cone =301.44

Step-by-step explanation:

First let angle of cone be $\alpha$ .

then $sin(\alpha )$ = 3/5 (For bigger triangle)

Same cone angle is for smaller one because they are similar.

$cos(\alpha )$ = 4/5

Now for smaller cone radius be R

3/5 =R/Slant height

Slant height =5/3R

Lateral surface area = $\frac{1}{2}R^{2}\beta$ [R = slant height]

Given lateral surface area =60 $\pi$ = $\frac{1}{2}(\frac{5R}{3} )^{2} \beta$ ...................................1

$2\pi R=\frac{5R}{3}\beta$ ................................................2

$\beta=\frac{6\pi }{5}$

Put angle beta in equation 1 and find the value of R

R =6 cm

Height = $\frac{4R}{3}$

Thus volume = $\frac{1}{3}\pi6^{2}*8$

=301.44

4 0

3 years ago

A deli is offering two specials. The roast beef special gives a profit of $2.30 per sandwich, and the turkey special gives a pro

nikklg [1K]

Answer:

The constraints are as follows;

1) 2·x + 2·y ≤ 120

2) 3·x + 4·y ≤ 160

3) x = 2.30

4) y = 3.10

5) P = 2.3·x + 3.10

Step-by-step explanation:

The question is a word problem, with the analysis as follows;

The profit from the roast beef special per sandwich = $2.30

The profit from the turkey special per sandwich = $3.10

The number of slices of bread in the roast beef special = Two slices

The number of slices of cheese in the roast beef special = Three slices

The number of slices of bread in the turkey special = Two slices

The number of slices of cheese in the turkey special = Four slices

The number of slices of bread the deli has = 120 slices

The number of slices of cheese the deli has = 160 slices

Let 'x' and represent the number of roast beef special and 'y' represent the number of turkey special the deli makes, then we have the constraints as follows;

For the number of slices of bread used;

2·x + 2·y ≤ 120...(1)

For the number of slices of cheese used;

3·x + 4·y ≤ 160...(2)

x = 2.30

y = 3.10

The profit 'P' is given by the following equation

P = 2.3·x + 3.10.

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2 years ago

The radius is 7. Find the circumference of p. Leave your answer in terms of pi.

just olya [345]

Answer:

Step-by-step explanation:

Hi there!

According to the question;

radius (r) = 7

We know,

Circumference (c) = 2πr

= 2π * 7

= 14π

Therefore the circumference of p is 14π.

Hope it helps!

5 0

2 years ago