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gayaneshka [121]
3 years ago
7

If s(x) = x - 7 and t(x) = 4x2 – X + 3, which expression is equivalent to (tºs)(x)?

Mathematics
1 answer:
ankoles [38]3 years ago
8 0

Answer:

4x² - 57x + 206

Step-by-step explanation:

To evaluate (t ○ s)(x), substitute x = s(x) into t(x) , that is

t(x - 7)

= 4(x - 7)² - (x - 7) + 3 ← expand (x - 7)² using FOIL

= 4(x² - 14x + 49) - x + 7 + 3

= 4x² - 56x + 196 - x + 10 ← collect like terms )

= 4x² - 57x + 206

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Prove ABC~EDC ?
erastova [34]

Answer:

AA similarity theorem

Step-by-step explanation:

we know that

<u>AA (Angle-Angle) Similarity</u> states that  In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar

In this problem we have that

∠BCA=∠ECD ----> by vertical angles

∠BAC=∠DEC ---> because AB is parallel to ED (alternate interior angles)

therefore

Triangles ABC and EDC are similar by AA similarity theorem

8 0
3 years ago
I need help ASAP. I'm not good with math.
bonufazy [111]

Given:

The increase in pressure P is the linear function of the depth d.

P(d)=0.445d+14.7

The cost of dinner is $300 and $10 per students.

To find:

The initial value and rate of change and their interpretation.

Find the cost function C where n is the number of students.

Solution:

The slope intercept form of a linear function is

f(x)=mx+b          ...(i)

where, m is rate of change and b is y-intercept or initial value.

We have,

P(d)=0.445d+14.7        ...(ii)

From (i) and (ii), we get

m=0.445,b=14.7

The initial value is 14.7. It means, the pressure at sea level is 14.7 pounds psi.

Rate of change is 0.445. It means, the pressure is increasing by 0.445 pounds psi for every feet.

The cost of dinner is $300 and $10 per students.

Let C(n) be the total cost for dinner and n be the number of students.

Fixed cost = $300

Additional cost for 1 student = $10

Additional cost for n student = $10n

Now,

Total cost = Fixed cost + Additional cost

C(n)=300+10n

Therefore, the required cost function is C(n)=300+10n.

8 0
2 years ago
If 3 cups of rice serves 5 people, how many cups do you need to serve 13 people
elena-14-01-66 [18.8K]
First let's find out how many cups serve one person.

3 ÷ 5 = 1.6

1.6 of a cup serves one person.

1.6 × 13 = 20.8

It takes 20.8 (21 rounded) to serve 13 people.
3 0
3 years ago
HELPPPPP
OlgaM077 [116]

Answer:

Point on Midline (0,3)

Maximum (9π/2,3)

Minimum (-9π/2,-3)

Step-by-step explanation:

in the given sine function which is in the form of f(x) = a sin(bx+c) +d

a = amplitude

period = frequency = 18π

Therefore b = 2π/18π = 1/9

Y intercept = vertical shift = 3

Horizontal shift = d = 0

Therefore the sine function will be

f(x) = 6 sin(x/9) + 3

Now first point on the midline is (0,3)

Second point is maximum (9π/2,9)

Third point be a minimum value ( -9π/2,-3)

7 0
2 years ago
a person driving along the road moves rates of 56 miles per hour driven.How far does the person drive in 1.5 hours?
tester [92]
56 miles : 1 hour
/2. /2
28 miles : 30 minutes
56+28. 1h+30m
84 miles : 1 hour 30 minutes

84 is the answer
8 0
3 years ago
Read 2 more answers
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