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trasher [3.6K]
2 years ago
11

An athlete runs in a straight line along a flat surface. He starts from rest and for 20 seconds accelerate at a constant

Mathematics
1 answer:
Licemer1 [7]2 years ago
5 0

Answer:

probably 200

Step-by-step explanation:

or something like that

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In the figure above AB = 4x + 6 and BC = 7x + 15. If AC = 120, find the length of segment AB.
Mrac [35]

Answer:

x = 9

Step-by-step explanation:

AB = 4x + 6 and BC = 7x + 15  AC is the sum of AB and BC

so 4x + 6 + 7x + 15 = 120 add like terms

11x + 21 = 120 subtract 21 from both sides

11x = 99 divide both sides by 11

x = 9

7 0
3 years ago
Find 3 consecutive odd integers such that the sum of the smallest number and the middle number is 27 less than 3 times the large
Mandarinka [93]

Let consecutive odd numbers be  

x , x+2 , x+4

Smallest number =x

Middle number =x+2

Largest number =x+4

According to condition (x) +(x+2) -27 = 3(x+4)

                                      x+x+2-27= 3(x+4)

                                      2x-25= 3x+12

Subtracting 2x and 12 both sides

                                   2x-25-2x-12=3x+12-2x-12

                                     -37= x   this is smallest odd number.

Other two odd numbers are (x+2)= (-37+2)=(-35)

                             &                (x+4)=(-37+4)=(-33)

so three consecutive odd numbers are -37 ,-35 , -33


8 0
3 years ago
Can you help me it’s. 2 part question I can only add one picture at a time
snow_lady [41]

Recall the definition of the composition between two functions:

(f\circ g)(x)=f(g(x))

Similarly, but not always the same:

(g\circ f)(x)=g(f(x))

Use the rules of correspondence of the functions f and g to find the compositions:

\begin{gathered} f(x)=6x-10 \\ g(x)=8-4x \end{gathered}

Then:

\begin{gathered} (f\circ g)(x)=f(g(x)) \\ =6\cdot g(x)-10 \\ =6(8-4x)-10 \\ =6\cdot8-6\cdot4x-10 \\ =48-24x-10 \\ =-24x+38 \\  \\ \therefore(f\circ g)(x)=-24x+38 \end{gathered}

On the other hand:

\begin{gathered} (g\circ f)(x)=g(f(x)) \\ =8-4\cdot f(x) \\ =8-4(6x-10) \\ =8-4\cdot6x-4\cdot-10 \\ =8-24x+40 \\ =-24x+48 \\  \\ \therefore(g\circ f)(x)=-24x+48 \end{gathered}

Therefore, the answers are:

\begin{gathered} (f\circ g)(x)=-24x+38 \\ (g\circ f)(x)=-24x+48 \end{gathered}

8 0
1 year ago
Someone please answer this. Please give answer in form of square root.
sergey [27]
V=A_bh\\
A_b=\dfrac{3a^2\sqrt3}{2}\\
a=4\\
h=9\\\\
V=\dfrac{3\cdot4^2\sqrt3}{2}\cdot9\\
V=216\sqrt3
4 0
3 years ago
Need help plz .You have $2500 to invest in two different accounts. In order to save the money you need for college, you need to
liraira [26]

Answer:

A)$1667 in 7.5%, $833 in 6%

Step-by-step explanation:

You need to average 7% interest.

initial investment = $2500

7% of $2500 = \frac{7}{100} × 2500  ⇒ (0.07 ) × (2500) ⇒ $175

so the combined interest from both accounts should be $175

Checking options:

A)$1667 in 7.5%, $833 in 6%                      ∵ 7.5 % = 0.075  

(1667 × 0.075) + (833 × 0.06)                             6 % = 0.06

125.025 + 49.98 ⇒ 175.005

B) $1833 in 7.5%, $667 in 6%

(1833 × 0.075) + (667 × 0.06)

137.475 + 40.02 ⇒ 177.495

C)$667 in 7.5%, $1833 in 6%

(667 × 0.075) + (1833 × 0.06)

50.025 + 109.98 ⇒ 160.005

D)$833 in 7.5%, $1667 in 6%

(833 × 0.075) + (1667 × 0.06)

62.475 + 100.02 ⇒ 162.495

Option A is the closest to average7% interest of $2500, which is $175.

7 0
2 years ago
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