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3 years ago

Enter a range of values of x

Mathematics

1 answer:

igomit [66]3 years ago

4 0

Answer:

$-5$ .

Step-by-step explanation:

We know that if two corresponding sides of two triangles are equal, then third sides of the triangles depend on angle between equal sides.

Angle opposite to larger side is larger.

Since, 14 < 15, therefore

$2x+10$

$2x$

$x$ ...(1)

We know that, angle can not not negative.

$2x+10>0$

$2x>-10$

$x>-5$ ...(2)

From (1) and (2), we get

$-5$

Therefore, the range of values of x is $-5$ .

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HELPPPP!!!! Need the answer ASAP!!

Greeley [361]

Given that the functions $f(x)=x+4$ and $g(x)=x^{3}$

We need to determine the value of the function $(g \ {\circ} f)(-3)$

First, we shall determine the composition of the function $(g \circ f)(x)$

Function $(g \circ f)(x)$ :

Let us determine the function $(g \circ f)(x)$

Thus, we have;

$(g \circ f)(x)=g[f(x)]$

$=g[x+4]$

$=(x+4)^3$

$(g \circ f)(x)=x^3+3x^2(4)+3x(4)^2+(4)^3$

$(g \circ f)(x)=x^3+12x^2+48x+64$

Thus, the function is $(g \circ f)(x)=x^3+12x^2+48x+64$

Value of the function $(g \ {\circ} f)(-3)$ :

The value of the function can be determined by substituting x = -3 in the function $(g \circ f)(x)=x^3+12x^2+48x+64$

Thus, we have;

$(g \circ f)(-3)=(-3)^3+12(-3)^2+48(-3)+64$

Simplifying the terms, we get;

$(g \circ f)(-3)=-27+12(9)+48(-3)+64$

$(g \circ f)(-3)=-27+108-144+64$

$(g \circ f)(-3)=1$

Thus, the value of the function $(g \ {\circ} f)(-3)$ is 1.

8 0

3 years ago

I need to find the surface area can someone please help

denis-greek [22]

Answer:

Base Surface Area: 1256.6370614359 km^2

(Rounded up: 1257)

Lateral Surface Area: 1915.083547902 km^2

(1915 Rounded up)

Total Surface Area: 3171.7206093379 km^2

(3172 Rounded up)

3 0

3 years ago

A sinking fund is established to discharge a debt of $20,000 in 15 years. If deposits are made at the end of each 6-month period

Anna71 [15]

Answer:

the amount of each deposit is $45,555

Step-by-step explanation:

The computation of the each deposit is shown below:

Given that

Future value be $20,000

Time period = 15 × 2 = 30

And, the rate = 5% ÷ 2 = 2.5%

Now the formula is as follows

= (Future value × rate of interest) ÷ (1 + rate of interest)^time period - 1

= ($20,000 × 2.5) ÷ (1 + 0.025)^30 - 1

= $50,000 ÷ 1.0975675791

= $45,555

Hence, the amount of each deposit is $45,555

7 0

3 years ago

Jennifer deposits $1,000 into an account that is compounded monthly for 4 years. The account earns 7% interest. What is the endi

dedylja [7]

9514 1404 393

Answer:

$1,322.05

Step-by-step explanation:

The compound interest formula is appropriate.

A = P(1 +r/n)^(nt) . . . principal P earning annual rate r for t years, compounded n times per year

You have P=1000, r=.07, n=12, t=4, so the balance is ...

A = $1000(1+.07/12)^(12·4) ≈ $1000(1.322054)

A = $1,322.05

Jennifer's ending balance is $1,322.05.

3 0

3 years ago

the length of a rectangular playground exceeds twice its width by $25$ feet, and the perimeter of the playground is $650$ feet.

Dafna11 [192]

The area of the rectangular playground = 22,500 ft².

<h3>How to Find the Area and Perimeter of a Rectangle?</h3>

Perimeter of a rectangle = 2(length + width)

Area of a rectangle = (length)(width).

Let "w" represent the width of the rectangular playground. Therefore:

Width of the rectangular playground = w feet

Length of the rectangular playground = (2w + 25) feet

Perimeter of the rectangular playground = 650 feet

Find w using the perimeter formula

2((2w + 25) + w) = 650

2(3w + 25) = 650

6w + 50 = 650

6w = 650 - 50

6w = 600

w = 100

Width of the rectangular playground = w = 100 feet

Length of the rectangular playground = (2w + 25) = 2(100) + 25 = 225 feet.

Area of the rectangular playground = (225)(100) = 22,500 ft²

Learn more about the area of rectangle on:

brainly.com/question/14137384

#SPJ1

8 0

2 years ago