1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lina20 [59]
4 years ago
7

I need quick! 20 points!

Mathematics
1 answer:
ZanzabumX [31]4 years ago
7 0
Given is h(x) = 4x − 5 and t(x) = 2x + 4.

Part A: Finding (h + t)(x)
(h + t)(x) = (4x - 5) + (2x + 4) \\ (h + t)(x) = 4x - 5 + 2x + 4 \\ (h + t)(x) = 4x + 2x - 5 + 4 \\ (h + t)(x) = 6x - 1

Part B: Finding​ (h ⋅ t)(x)
(h ⋅ t)(x) = (4x - 5)(2x + 4) \\ (h ⋅ t)(x) = 4x(2x + 4) - 5(2x + 4) \\ (h ⋅ t)(x) = 8 {x}^{2}  + 16x - 10x - 20 \\ (h ⋅ t)(x) = 8 {x}^{2}  + 6x - 20
Part C: Finding h[t(x)]
h[t(x)] = 4  \times t(x) - 5 \\ h[t(x)] = 4(2x + 4) - 5 \\ h[t(x)] = 8x + 16 - 5 \\ h[t(x)] = 8x + 11

You might be interested in
When functions are defined by more than one​ equation, they are called?
BARSIC [14]
When functions are defined by more then one equation, they are called piecewise defined functions
7 0
3 years ago
Read 2 more answers
(WILL GIVE BRAINLIEST) In right ∆ABC with m∠B=30°, AC = 4. Find HB
goblinko [34]

Answer:

HB would be 90 degrees

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Dominic considers buying 2 points on a 25-year, fixed rate mortgage for $187,600. His interest rate will be 5.45% if he does not
algol [13]

Answer:

If Dominic buys 2 points (2% of the loan value) he will get a better rate and hence less payment.  The question is asking how long will it take him to save the initial investment of 2% of the loan value due to a smaller payment.  The monthly payment at 5.45% is  $1,146.43,  the monthly payment for 5.2% is  $1,118.66.  This is a difference of  $27.77 per month.  The 2 points will cost him  $3,752.00.  The question is asking how long will it take Dominic to re-coup his  $3,752.00 if he saves $27.77 per month.  Just divide the 2 numbers and you get  135.10 months.  If you divide that by 12 you get 11.26 years, which is roughly 11 years, 4 months.

Step-by-step explanation:

Here is what the question is asking.  If Dominic buys 2 points (2% of the loan value) he will get a better rate and hence less payment.  The question is asking how long will it take him to save the initial investment of 2% of the loan value due to a smaller payment.  The monthly payment at 5.45% is  $1,146.43,  the monthly payment for 5.2% is  $1,118.66.  This is a difference of  $27.77 per month.  The 2 points will cost him  $3,752.00.  The question is asking how long will it take Dominic to re-coup his  $3,752.00 if he saves $27.77 per month.  Just divide the 2 numbers and you get  135.10 months.  If you divide that by 12 you get 11.26 years, which is roughly 11 years, 4 months.

3 0
3 years ago
Confused and need help
vodka [1.7K]

First, reflect the triangle across x

Then translate the triangle 1 unit to the right and 9 units down

8 0
3 years ago
My brain stopped. I need help
Alisiya [41]

Answer:

x = 99°

y = 91°

Step-by-step explanation:

For Cyclic quadrilateral, the sum of the opposite angles = 180°

Let's find x :-

x + 81° = 180°

x = 180 - 81

x = 99°

Let's find y :-

y + 89° = 180°

y = 180 - 89

y = 91°

Hope this helps you !

5 0
2 years ago
Other questions:
  • 84859>84949 is this statement true or false?
    11·2 answers
  • Solve for E 4/3=6e _ 5/3
    9·1 answer
  • Help with geometry work
    8·1 answer
  • Please help !!!!!!!11
    9·1 answer
  • The travel agent surveyed tourists at random and constructed a 95% confidence interval for the proportion of tourists who were e
    7·1 answer
  • Simplify the expression -2(2- 4h)
    13·2 answers
  • How do you put pictures in this?
    14·1 answer
  • Help me please this is due at 11:30
    7·2 answers
  • . Kate is training for a bike race. She rides 5 miles one day, 10 miles the next day, and 15 miles the third day. If Kate contin
    14·2 answers
  • 1 of 10Give the property that justifies each step.5(2 + 10)20Given52 + 50 = 2057 = -30N2-6o- Addition Property of Equality:: Sub
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!