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3 years ago

Which is the correct input-output table for the function f(x) = 7 – 4.5x?

Mathematics

2 answers:

DanielleElmas [232]3 years ago

7 0

Input (x): 1 3 4 6 10

Output f(x): 2.5 -6.5 -11 -20 -38

*Answer B on PLATO

Naddika [18.5K]3 years ago

3 0

Step 1: Divide both sides by x.fxx=−4.5x+7xf=−4.5x+7xAnswer:f=−4.5x+7x

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Read the proof. Given: m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° Prove: △HKJ ~ △LNP Statement Reason 1. m∠H = 30°, m∠J = 50°,

motikmotik

Answer:

$2. m\angle H+m\angle J +m\angle K =180^{\circ}$

Reason: the sum of all interior angles of any triangle is equal to 180º.

Step-by-step explanation:

1) Organizing

Statement 1. m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° 1. Reason: given

2) Since the sum of all internal angles of any triangle is equal to 180º, just like the formula. N the number of sides of a triangle:

$S_{i}=180^{\circ}(n-2)\rightarrow 180(3-2) \therefore S_{i}=180^{\circ}$

3) We can also say

$m\angle K=180^{\circ}-(m\angle H+m\angle J)\\m\angle K=180^{\circ}-\left ( 30^{\circ}+50^{\circ} \right )\\m\angle K=100^{\circ}$

Similarly to the other triangle:

$m\angle L=180^{\circ}-(m\angle N+m\angle P)\\m\angle L=180^{\circ}-\left ( 100^{\circ}+50^{\circ} \right )\\m\angle L=30^{\circ}$

4) Hence,

$2. m\angle H+m\angle J +m\angle K =180$

Reason: The sum of interior angles is equal to 180º.

8 0

3 years ago

Exams are approaching and Helen is allocating time to studying for exams. She feels that with the appropriate amount of studying

svp [43]

Answer: 0.05

Step-by-step explanation:

Let M = Event of getting an A in Marketing class.

S = Event of getting an A in Spanish class,

i.e. P(M) = 0.80 , P(S) = 0.60 and P(M∩S)=0.45

Required probability = P(neither M nor S)

= P(M'∩S')

= P(M∪S)' [∵P(A'∩B')=P(A∪B)']

=1- P(M∪S) [∵P(A')=1-P(A)]

= 1- (P(M)+P(S)- P(M∩S)) [∵P(A∪B)=P(A)+P(B)-P(A∩B)]

= 1- (0.80+0.60-0.45)

= 1- 0.95

= 0.05

hence, the probability that Helen does not get an A in either class= 0.05

3 0

3 years ago

NEED THIS ASAP Simplify 3^2 ⋅ 3^5. A) 3^7 B)3^10 C)9^7 D)9^10

Free_Kalibri [48]

$Use\ a^n\cdot a^m=a^{n+m}\\\\3^2\cdot3^5=3^{2+5}=3^7\to\boxed{A)}$

8 0

3 years ago

Six more than nine times a number is -7

emmainna [20.7K]

It should be no solution

4 0

3 years ago

−−→ LO bisects ∠ NLM , LM = 18 , NO = 4 , and LN = 10 . LO → bisects ∠ NLM , LM = 18 , NO = 4 , and LN = 10 . What is the value

Sindrei [870]

Answer:

7.2

Step-by-step explanation:

Given that in triangle LMN, LO is angle bisector of angle L.

LN =10 and LM =18

By angle bisector theorem for triangles we have

LN/LM = NO/MO

Substitute the values for known things and x for MO

We get

10/18 = 4/x

Or cross multiply to get

10x=72

x=7.2

So answer is 7.2

3 0

3 years ago