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3 years ago

The sum of three consecutive integers is 9.

Mathematics

1 answer:

strojnjashka [21]3 years ago

8 0

Answer:

Step-by-step explanation:

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5x + 10 > 35<br> How do you work this out?

Alexxx [7]

Answer:

$x > 5$

Step-by -step explanation:

Solving inequalities is similar to solving equations.

$5x + 10 > 35$

Subtract 10 from both sides.

$5x > 25$

Divide by 5 from both sides to isolate the x.

$x > 5$

3 0

2 years ago

Read 2 more answers

If f(x) = 2x2 + 1 and g(x) = x2 – 7, find (f – g)(x).

nadya68 [22]

Answer: The required value is

$(f-g)(x)=x^2+8.$

Step-by-step explanation: The given functions are:

$f(x)=2x^2+1,\\\\g(x)=x^2-7.$

We are given to find the value of $(f-g)(x).$

We know that, if s(x) and t(x) are any two functions of a variable x, then we have

$(s-t)(x)=s(x)-t(x).$

Therefore, we have

$(f-g)(x)\\\\=f(x)-g(x)\\\\=(2x^2+1)-(x^2-7)\\\\=2x^2+1-x^2+7\\\\=x^2+8.$

Thus, the required value is

$(f-g)(x)=x^2+8.$

5 0

3 years ago

An extremely large sink hole has opened up in a field just outside of the city limits. It is difficult to measure across the sin

abruzzese [7]

Triangle ABC and triangle DCE are congruent, so line DE = line AB

Use the cosine rule to find angle ACB
$52.2^{2}= 50^{2}+ 70^{2}-(2*50*70*cos(ACB))$
$2724.84=7400-(7000cos(ACB))$
$2724.84-7400=-7000cos(ACB)$
$-4675.16=-7000cos(ACB)$
$\frac{4675.16}{7000}=cos(ACB)$
$Angle ACB= cos^{-1} ( \frac{4675.16}{7000})$
Angle ACB = 48.1°

5 0

3 years ago

What is the difference between Z1 and z2, and where is the difference located?

NeTakaya

Answer:

Step-by-step explanation:

Took the test

7 0

3 years ago

Read 2 more answers

The formula A=6s² gives the suface area A of a cube with a side length s. What is the suface area of a cube that has a side leng

Salsk061 [2.6K]

Answer:

150 square inches.

Step-by-step explanation:

Since the surface area of a cube is 6 times the square of the side length of the cube, then that means the surface area of a cube that has a side length of 5 has a surface area of 6 x 5 x 5. 5 times 5 = 25, and 25 x 6 = 150

3 0

2 years ago