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3 years ago

Tyler tried to solve an equation step by step 3(x +4)=-18

Mathematics

2 answers:

katen-ka-za [31]3 years ago

8 0

Step-by-step explanation:

$3(x + 4) = - 18 \\ (x + 4) = \frac{ - 18}{3 } \\ (x + 4) = - 6 \\ x = - 6 - 4 \\ x = - 10$

sineoko [7]3 years ago

5 0

Answer:

x = -10

3(x + 4) = -18

3x + 12 = -18

3x = -18-12

3x = -30

x= -30/3

x = -10

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NEED HELP NOW!!!!

Dovator [93]

Answer:

f(x) = -3x --->#6

f(x) = |x-1|+3 --->#5

f(x) = √(x+3) --->#3

1/2x² --->#1

f(x) = (x+1)²-3 --->#4

4|x|--->#2

Step-by-step explanation:

Recall for transformations:

Adding a number outside the function moves it up
Subtracting a number outside the function moves it down
Adding inside the function moves it to the left
Subtracting inside the function moves it to the right
Multiplying to the function by a number less than 1 compresses
Multiplying to a function by a number greater than 1 stretched it
Multiplying by a negative flips the graph

f(x) = -3x

This is multiplication by a number greater than 1 and a negative so this stretches and flip. This is #6, a reflection.

f(x) = |x-1|+3

Subtraction inside the function shifts it to the right 1 and addition outside shifts it up 3. This is #5.

f(x) = √(x+3)

Addition inside the function shifts it to the left 3. This is #3

1/2x²

Multiplication by 1/2 which is less than 1 compresses it. This is #1.

f(x) = (x+1)²-3

Addition inside the function shifts the function to the left once. This is #4.

4|x|

Multiplying by 4, a number greater than 1, stretches it. This is #2.

5 0

3 years ago

If 2 sides of a triangle measure 6 and 16 find the range for the 3rd side

tangare [24]

Step-by-step explanation:

Range if third side is in between 10-22

Reason:

For the lowest value of third side 16-6= 10

For the highest value if third side 16+6= 22

⚡⚡⚡⚡⚡⚡⚡⚡⚡⚡⚡⚡⚡⚡⚡

8 0

3 years ago

Tres corredoras salieron a entrenar Amalia recorrio 4,121 km ; Luciana 1,55 km mas que Marta y esta 1 8/2 km menos que Amalia. ¿

tatiyna

Answer:

Luciana y Marta recorren 4,351 kilómetros y 2,801 kilómetros, respectivamente.

Step-by-step explanation:

El enunciado tiene un error tipográfico que induce a equivocación. El enunciado correcto es el siguiente: Tres corredoras salieron a entrenar Amalia recorrió 4,121 kilómetros; Luciana 1,55 kilómetros más que Marta y esta 1 8/25 kilómetros menos que Amalia. ¿Cuántos kilómetros recorrió Luciana y Marta?

Sean $x,y,z$ las distancias recorridas por Amalia, Marta y Luciana, en kilómetros. A partir de la descripción del enunciado tenemos el siguiente sistema de ecuaciones lineales:

Amalia

$x = 4,121\,km$ (1)

Marta

$y = x-1.32\,km$ (2)

Luciana

$z = y + 1.55\,km$ (3)

La solución del sistema de ecuaciones lineales es:

$x =4,121\,km, y = 2,801\,km, z = 4,351\,km$

Luciana y Marta recorren 4,351 kilómetros y 2,801 kilómetros, respectivamente.

8 0

3 years ago

And object is traveling at a steady speed of 8 2/3 mph how long will it take to object to travel 5 1/5 miles

LenaWriter [7]

$\bf \begin{array}{ccll}
miles&hours\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
8\frac{2}{3}&1\\\\
5\frac{1}{5}&h
\end{array}\implies \cfrac{8\frac{2}{3}}{5\frac{1}{5}}=\cfrac{1}{h}\implies \cfrac{\quad \frac{26}{3}\quad }{\frac{26}{5}}=\cfrac{1}{h}\implies \cfrac{26}{3}\cdot \cfrac{5}{26}=\cfrac{1}{h}
\\\\\\
\cfrac{5}{3}=\cfrac{1}{h}\implies 5h=3\implies h=\cfrac{3}{5}$

which is just 36 minutes.

8 0

3 years ago

Constance's car has a 12-gallon gas

antiseptic1488 [7]

Answer:

7.5 hours

Step-by-step explanation:

Constance's car has a 12-gallon gas tank.

She can travel 25 miles on one gallon of gas, so she can travel

$25\cdot 12=300$ miles using all gas from the tank.

Constance begins with a full tank of gas and drives at a constant rate of 40 miles per hour.

So, Constance can drive for

$300 : 40=7.5$ hours.

3 0

3 years ago