MATHEMATICS HIGH SCHOOL

Please help me with both questions!!!!

Answers

Answer 1

Answer:

Answer:

16. y < 1 - 2|x -2|

17. y ≥ 3 + (1/2)|x -2|

Step-by-step explanation:

16. Shading is below the dashed line, so the inequality is ...

y < (something)

The function is an inverted absolute value function with slopes ±2, so -2 is the multiplier. Its vertex is translated to (2, 1), so the parent function is modified to be ...

f(x -2) +1

With the multiplier and the comparison added, the whole inequality is ...

y < -2|x -2| +1

17. Shading is above the solid line, so the inequality is ...

y ≥ (something)

The function is an absolute value function translated to (2, 3) and given a vertical scaling of 1/2. So, your inequality is ...

y ≥ (1/2)|x -2| +3

Answer 2

Answer:

Answer:

16. y < 1 - 2|x -2|

17. y ≥ 3 + (1/2)|x -2

Step-by-step explanation:

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A quadrilateral has angles that measure 60°, 95°, and 150°. What is the measure of the fourth angle?

A.
25°

B.
55°

C.
85°

D.
125°

Answers

The sum of all angles of a quadrilateral is equal to 360º.

x=fourth angle;
Therefore:

x+60º+95º+150º=360º
x=360º-60º-95º-150º=55º

Answer: B. 55º

Completely factor this polynomial:
16x2-25y2

Answers

$16x^2-25y^2=(4x)^2-(5y)^2=(4x-5y)(4x+5y)$

The equation of a line is x + 5y = 12. What is the y-intercept of the line? a. 12 b. 512 c. 125 d. −12

Answers

Answer:

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

x + 5y = 12 ( subtract x from both sides )

5y = - x + 12 ( divide through by 5 )

y = - $(1)/(5)$ x + $(12)/(5)$ ← in slope- intercept form

with y- intercept c = $(12)/(5)$

Determine whether the vectors u and v are parallel, orthogonal, or neither. u = <7, 2>, v = <21, 6>

Answers

Vectors are orthogonal if their dot product is equal to zero:
u · v = 7· 21 + 2 · 6 = 147 + 12 = 159 ≠ 0
Vectors are parallel if the angle between them is 0°, or cos ( u, v ) = 1
cos ( u, v ) = ( u · v ) / ( | u | · | v | ) =
= 159 / (√(7² + 2²) · √(21² + 6²) ) =
= 159 / ( √ (49 + 4 ) · √ ( 441 + 36 ) ) =
= 159 / (√53 · √477 ) = 159 / 159 = 1
Answer : The vectors u and v are parallel.

Answer:

Parallel

Step-by-step explanation:

orthogonal: dot product of u times v= 0 degrees

utimesv= 7x21+2x6=147+12=159

Parallel: cos (u,v)=1

cos (u,v)=(u·v)/ IuI·IvI

cos (u,v)= 159/ (sqrt 7^2+2^2)·(sqrt 21^2 +6^2)

159/(sqrt 49+4) ·(sqrt 441+36)

159/(sqrt 53)·(sqrt 477)=

159/159

=1; therefore it is parallel

If Jesse wants to buy a $75,000 10-year term life insurance policy, and the annual premium rate (per $1000 of face value) for his age group is $2.34, how much is Jesse’s annual premium?

Answers

Since it is given that it costs $2.34 for every $1000 face value, and it was given that he wanted to buy a $75000 plan, multiplying $2.34 by 75 (75000 includes 75 $1000 face value), it should yield us the annual premium.

2.34 * 75 = $175.50

We don't need to multiply it by 10 years as only the annual premium is being solved for.

Answer:

Step-by-step explanation:

took it on edu

An accurate clock shows exactly 3 pm. In how many minutes will the minute hand catch up with the hour hand?