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3 years ago

Which correctly gives the location of the point (–14, 3)?

Mathematics

2 answers:

trapecia [35]3 years ago

8 0

Answer is <span>B.
Quadrant II </span>

tatyana61 [14]3 years ago

3 0

I got B too... quadrant 2

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Sketch a graph of the function. Given the piecewise definition f(x) ={- 2x - 4 if x < - 2 f (x)= {x+3 if x>-2 Domain: Rang

kakasveta [241]

Explanation:

$f(x)=\begin{cases}-2x-4\text{ if x -2}\end{cases}$

The line of the first part of the function, without the restriction of x <=-2:

The line of the second part of the function, without the restriction is:

To graph the full function, we have to draw a line over the green dashed line until x = -2 and then continue drawing but now over the orange dashed line

Answer:

The graph of the function is:

• Domain:

$\begin{gathered} (-\infty,\infty) \\ \text{ or also} \\ -\infty• Range[tex]\begin{gathered} \lbrack0,\infty) \\ \text{ or also} \\ 0\le y$

3 0

1 year ago

a ladder 10 ft long leans against a wall. The foot of the ladder is 8ft from the base of the wall. How high up the wall does the

Alekssandra [29.7K]

Answer:

6 ft.

Step-by-step explanation:

$a^2+8^2=10^2\\a^2+64=100\\a^2+64-64=100-64\\a^2=36\\\sqrt{a^2}=\sqrt{36}\\a=6$

5 0

4 years ago

A shop sells fence panels with a wooden frame going all the way round each panel. The price of each panel is based on the area o

vagabundo [1.1K]

Answer:

a) Each 1m² of fence panel costs: £2

b) I metre of wooden frame costs: £1

Step-by-step explanation:

Let the price of 1 sq.m. of fence panel be x

Let the price of 1 m of wooden frame be y

In Fig 1

Length = 4 m

Breadth = 3 m

Area = $Length \times breadth = 4 \times 3 = 12 sq.m.$

Cost of 1 sq.m. = x

Cost of 12 sq.m. = 12x

Perimeter =2(l+b)=2(4+3)=14 m

Cost of 1 m of wooden frame = y

Cost of 14 m of wooden frame = 14y

We are given that total cost of framing and fencing is 38

So. 12x+14y=38 ----1

In Fig 2

Length = 6 m

Breadth = 2 m

Area = $Length \times breadth = 6 \times 2 = 12 sq.m$ .

Cost of 1 sq.m. = x

Cost of 12 sq.m. = 12x

Perimeter =2(l+b)=2(6+2)=16 m

Cost of 1 m of wooden frame = y

Cost of 16 m of wooden frame = 16y

We are given that total cost of framing and fencing is 40

So. 12x+16y=40---2

Substitute the value of 12x form 1 in 2

38-14y+16y=40

2y=2

y=1

Substitute the value of y in 2

12x+16=40

12x=24

x=2

So, cost of 1 sq.m. of fence panel is 2 and cost of 1 m of wooden frame is 1

In fig 3

To verify :

Length = 3 m

Breadth = 5 m

Area = $Length \times breadth = 3 \times 5 = 15 sq.m.$

Cost of 1 sq.m. = 2

Cost of 12 sq.m. = $15 \times 2 = 30$

Perimeter =2(l+b)=2(3+5)=16 m

Cost of 1 m of wooden frame = 1

Cost of 16 m of wooden frame = 16

So, Total cost = 30+16=46

We are given that cost of fencing and framing is 46

Thus verified

Hence

a) Each 1m² of fence panel costs: £2

b) I metre of wooden frame costs: £1

5 0

3 years ago

There are 30 animals up for adoption, and the ratio of fish to hamsters is 1:2 , how many hamsters are up for adoption?

nadezda [96]

Answer:

Step-by-step explanation:

If the ratio of fish to hamster is 1:2 meaning that there are 2 times as much as hamsters than fish. Since I don't know if there is any other animals involved. My guess are that there are 10 fishes and 20 hamsters

8 0

3 years ago

Read 2 more answers

Write the quadratic equation whose roots are -2 and 3, and whose leading coefficient is 3

KIM [24]

Now, if the roots are -2 and 3, that simply means $\bf \begin{cases}
x=-2\implies &x+2=0\\
x=3\implies &x-3=0
\end{cases}$

now, as far as the leading term's coefficient having a 3, we can simply make it a "common factor" of both terms.

$\bf \begin{cases}
x=-2\implies &x+2=0\\
x=3\implies &x-3=0
\end{cases}\implies (x+2)(x-3)=0
\\\\\\
\stackrel{\textit{common factor}}{3}(x+2)(x-3)=\textit{original polynomial}
\\\\\\
3(x^2-x-6)=y\implies 3x^2-3x-18=y$

5 0

3 years ago