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3 years ago

May you please help me I am so confused

Mathematics

2 answers:

Tcecarenko [31]3 years ago

5 0

Answer:

109 students need to attend

Step-by-step explanation:

156 + 280 = 436

436 ÷ 4 = 109

Zolol [24]3 years ago

5 0

109.

Explained-
156 + 280=436
436 divided by 4 = 109

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The equation of the function h is h... PLEASE HELP MATH

Oduvanchick [21]

Answer:

Part A) $h(4) -m(16)=-4$

Part B) The distance between the y-intercepts is equal to 4 units

Part C) The value of h(x) will always be greater than the value of m(x) for any value of x

Step-by-step explanation:

Part A) What is the value of h(4) -m(16)

we have

$h(x)=\frac{1}{2}(x-2)^2$

For x=4

$h(4)=\frac{1}{2}(4-2)^2=2$

Find the equation of the line m(x)

Find the slope

take the points

(8,2) and (12,4)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{4-2}{12-8}$

$m=\frac{2}{4}$

$m=\frac{1}{2}$

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=\frac{1}{2}$

$point\ (8,2)$

substitute

$2=\frac{1}{2}(8)+b$

solve for b

$b=-2$

$y=\frac{1}{2}x-2$

therefore

$m(x)=\frac{1}{2}x-2$

Find m(16)

$m(16)=\frac{1}{2}(16)-2=6$

$h(4) -m(16)=2-6=-4$

Part B) we know that

The y-intercept is the value of y when the value of x is equal to zero

Find the y-intercept of h(x)

For x=0

$h(0)=\frac{1}{2}(0-2)^2=2$

Find the y-intercept of m(x)

For x=0

$m(0)=\frac{1}{2}(0)-2=-2$

therefore

The distance between the y-intercepts is equal to 2-(-2)=4 units

Part C)

Graph both equations

$h(x)=\frac{1}{2}(x-2)^2$

$m(x)=\frac{1}{2}x-2$

using a graphing tool

see the attached figure

The value of h(x) will always be greater than the value of m(x) for any value of x

4 0

3 years ago

Devin started the work shown to solve for the unknown angle measures.

Nesterboy [21]

Answer:

m∠Q = 93 °

m∠R = 87 °

Step-by-step explanation:

5 0

3 years ago

Simon Whitfield Victoria, British Columbia, won the men's triathlon at the Sydney Olympics. The race consisted of 1.5 km swim in

Over [174]

Total triathlon distance →1.5 km + 40km + 10 km = 51.5 km

So 51.5 km represents 100% of distance covered.

The % of each component = (distance of component/Total distance) multiplied by 100% so :

% of swim → (1.5 / 51.5) × 100 → 0.029 × 100 = 2.9%

% of bike ride → (40 / 51.5) × 100 →0.776 × 100 = 77.6%

% of run → (10 / 51.5) × 100 → 0.194 × 100 = 19.4%

Percentage spent on land will be

(40 km bike ride + 10 km run / Total triathlon distance) multiplied by 100%

(50 / 51.5) × 100 → 0.970 ×100 = 97%

5 0

3 years ago

Please help me with this problem

xxTIMURxx [149]

Answer:

1516

Step-by-step explanation:

hope can help you

2000x 2%=40

9000x 5%= 450

(30000-9000-2000) x 5.4% = 1026

total tas 40+450+1026=

8 0

2 years ago

2) Which ordered pairs represent a proportional relationship between x and y?

ZanzabumX [31]

Answer:

Step-by-step explanation:

you can multiply the original x and y by 3 and get the second x and y

i hope this helps

4 0

3 years ago

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