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3 years ago

Evaluate the expression for:

Mathematics

2 answers:

Flura [38]3 years ago

3 0

Step-by-step explanation:

$\frac{7z - 5y}{x} \\ by \: substuting \: the \: values \\ \frac{7 \times 6 - 5 \times ( - 3)}{ - 3} \\ \frac{42 + 15}{ - 3} \\ \frac{57}{ - 3} \\ - 19$

svetoff [14.1K]3 years ago

3 0

Answer:

$-19$

Step-by-step explanation:

$\frac{7z-5y}{x}$

$x=-3$

$y=-3$

$z=6$

____________

$\frac{7\left(6\right)-5\left(-3\right)}{\left(-3\right)}$

$7\times6=42$

$5\times-3=-15$

$42-\left(-15\right)=57$

$\frac{57}{-3}$

$-19$

OAmalOHopeO

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20 points

Lubov Fominskaja [6]

Answer:

1/3

Step-by-step explanation:

Slope = ( y₂ - y₁ ) ÷ ( x₂ - x₁ )

y₂ = 9

y₁ = 7

x₂ = 4

x₁ = -2

y₂ - y₁ = 9 - 7 = 2

x₂ - x₁ = 4 - -2 = 6

2 ÷ 6 = 1/3

3 0

3 years ago

A cyclist rides down a long straight road at a velocity (in m/min) given by v(t)=400-20t, for 0≤t≤10, where t is measured in min

Naya [18.7K]

Answer:

A. 1,500m

B. 2000m

C. 1875m

Step-by-step explanation:

A. Here, we simply substitute the value of t in the equation.

t = 5min

V(t) = 400 - 20t

= 400 - 20(5)

= 400 - 100 = 300m/min

Now we know that distance = speed * time = 300 * 5 = 1,500m

2. Substitute t = 10

V = 400 - 20(10) = 400 - 200 = 200m/min

Distance = speed * time = 200 * 10 = 2000m

3. Here we need to calculate time

Rearranging the equation:

20t = 400 - V(t)

20t = 400 - 250

20t = 150

t = 150/20 = 7.5min

Distance traveled = 250 * 7.5 =1875m

7 0

3 years ago

A force of 8 lb is required to hold a spring stretched 8 in. beyond its natural length. How much work W is done in stretching it

-BARSIC- [3]

Answer:

The work done in stretching it from its natural length to 14 in. beyond its natural length is W=8.17 ft-lb.

Step-by-step explanation:

We know that a force of 8 lb is required to hold a spring stretched 8 in. beyond its natural length.

This let us calculate the spring constant k as:

$F=kx\\\\k=F/x=(8 \;lb)/(8\;in)=1\;lb/in$

We know that work is, in an scalar form, the product of force and distance.

The force F is equal to the spring constant multiplied by the distance from the natural length.

Then, as the force changes with the distance from the natural length, we have to calculate integrating:

$W=\int_0^{14}F\,dx=\int_0^{14}kx\,dx\\\\\\W=\dfrac{1}{2}kx^2\left|^{14}_0=\dfrac{1}{2}(1\,lb/in)(14 \,in)^2-\dfrac{1}{2}(1\,lb/in)(0 \,in)^2$

$W=98lb\cdot in-0lb-in\\\\W=98(lb\cdot in)\cdot \dfrac{1 \,ft}{12\,in}=8.17\;lb\cdot ft$

5 0

3 years ago

Which of the following square roots would not be between 4 and 5?

expeople1 [14]

Answer:

√10.

___________________

7 0

3 years ago

Read 2 more answers

Write fraction in "Simpilist Form". If already , then write "Simpilist Form". The Fraction is: 3 over 100 - 3/100

dezoksy [38]

Answer:

see explanation

Step-by-step explanation:

A fraction is in simplest form when no other factor but 1 will divide into the numerator/ denominator

(1)

$\frac{3}{100}$ ← is in simplest form

(2)

$\frac{2}{5}$ ← is in simplest form

(3)

$\frac{10}{12}$ ( divide numerator/ denominator by 2 )

= $\frac{5}{6}$ ← in simplest form

8 0

3 years ago