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1 month ago

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*NEED HELP??!! The scatter plot shows the number of hats and scarves each knitter sold at a knitting show. How many hats did the

knitter who sold 9 scarves sell?
A.) 2

B.) 3

C.) 4

D.) 6

I was a little stuck on my answer and I was going to go with D.

1 answer:

Zina [12.3K]1 month ago

5 0

Is there an accompanying graph in this question?

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Austin keeps a right conical basin for the birds in his garden as represented in the diagram. The basin is 40 centimeters deep,

PIT_PIT [12445]

Answer:

51.15 cm

Step-by-step explanation:

Data provided

Basin has a depth of 40 centimeters

The angle of the sloping sides is 77°

The calculation for the shortest distance from the tip of the cone to its edge is detailed below:-

The angle will be split and is as follows

$\frac{77^\circ}{2}=38.5^\circ$

In the initial triangle, we will apply the "Cosine formula" as follows:-

$\cos 38.5^\circ=\frac{Base}{Hypotenuse}$

$cos 38.5^\circ=\frac{40}{Hypotenuse}$

$\\\\0.782=\frac{40}{Hypotenuse}$

$\\\\Hypotenuse=\frac{40}{0.782}$

$=51.15\ cm$

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2 months ago

If speed varies inversely as the time it takes to drive and Kris takes 5 hours driving at 55 mph, what speed will Martin need to

AnnZ [12381]

Response:

55 mph. All options are incorrect.

Detailed explanation:

When speed changes inversely with the time taken, it can be expressed as v ∝ 1/t, where:

v represents speed,

t refers to the time taken.

This leads to;

v = k/t, with k being a constant of proportionality.

Given that Kris takes 5 hours traveling at 55 mph, we replace v with 55 mph and t with 5 hours in the equation to find k as follows:

55 = k/5

Cross-multiplying yields:

k = 55 * 5

k = 275

To determine the speed Martin needs to drive for 5 hours, we substitute k = 275 and t = 5 back into the original equation v = k/t as follows:

v = 275/5

v = 55 mph

Thus, we conclude that in order to travel for 5 hours, Martin must also drive at 55 mph.

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1 month ago

Draw a Punnett square of an Ss x ss cross. The S allele codes for long stems in pea plants and the s allele codes for short stem

Zina [12379]

I hope this information is helpful.

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1 month ago

Two functions are shown in the table below. Function 1 2 3 4 5 6 f(x) = −x2 + 4x + 12 g(x) = −x + 6 Complete the table on your o

Svet_ta [12734]

For $\fbox{\begin \\\math{x}=6\\\end{minispace}}$ the function $f(x)=-x^{2} +4x+12$ and $g(x)=-x+6$ both yield the same result.

Detailed breakdown:

The functions involved are

$f(x)=-x^{2}+4x+12$

$g(x)=-x+6$

Step 1:

Insert $x=1$ in $f(x)=-x^{2} +4x+12$ to find the value of $f(1)$ .

$f(1)=-1^{2} +4(1)+12\\f(1)=-1+4+12\\f(1)=15$

Insert $x=1$ in $g(x)=-x+6$ to find the value of $g(1)$ .

$g(1)=-1+6\\g(1)=5$

Step 2:

Insert $x=2$ in $f(x)=-x^{2} +4x+12$ to obtain the value of $f(2)$ .

$f(2)=-2^{2} +4(2)+12\\f(2)=-4+8+12\\f(2)=16$

Substitute $x=2$ into $g(x)=-x+6$ to find the value of $g(2)$ .

$g(2)=-2+6\\g(2)=4$

Step 3:

Replace $x=3$ in $f(x)=-x^{2} +4x+12$ to find the value of $f(3)$ .

$f(3)=-3^{2} +4(3)+12\\f(3)=-9+12+12\\f(3)=15$

Also, replace $x=3$ in $g(x)=-x+6$ to find the value of $g(3)$ .

$g(3)=-3+6\\g(3)=3$

Step 4:

Insert $x=4$ in $f(x)=-x^{2} +4x+12$ to find the value of $f(4)$ .

$f(4)=-4^{2} +4(4)+12\\f(4)=-16+16+12\\f(4)=12$

Also, replace $x=4$ in $g(x)=-x+6$ to obtain the value of $g(4)$ .

$g(4)=-4+6\\g(4)=2$

Step 5:

Insert $x=5$ in $f(x)=-x^{2} +4x+12$ to obtain the value of $f(5)$ .

$f(5)=-5^{2} +4(5)+12\\f(5)=-25+20+12\\f(5)=7$

Replace $x=5$ in $g(x)=-x+6$ to find the value of $g(5)$ .

$g(5)=-5+6\\g(5)=1$

Step 6:

Insert $x=6$ into $f(x)=-x^{2} +4x+12$ to find the value of $f(6)$ .

$f(6)=-6^{2} +4(6)+12\\f(6)=-36+24+12\\f(6)=0$

Also, substitute $x=6$ in $g(x)=-x+6$ to obtain the value of $g(6)$ .

$g(6)=-6+6\\g(6)=0$

Step 7:

According to the provided condition $f(x)=g(x)$ .

(a). Insert $f(x)=-x^{2} +4x+12$ and $g(x)=-x+6$ into the previously mentioned equation.

$-x^{2} +4x+12=-x+6$

(b). Multiply through by $-1$ on both sides.

$x^{2} -4x-12=x-6$

(c). Move the term $x-6$ to the left side of the equation.

$x^{2} -4x-12-x+6=0\\x^{2} -5x-6=0$

(d). Divide the middle term so that its sum equals 5 and the product equals 6.

$x^{2} -(6-1)x-6=0\\x^{2} -6x+x-6=0\\x(x-6)+1(x-6)=0\\(x+1)(x-6)=0\\x=-1,6$

From the analysis above, it is noted that for $x=6$ both functions $f(x)$ and $g(x)$ yield the same outcome.

Using a direct approach:

$f(x)=g(x)\\\Leftrightarrow-x^{2} +4x+12=-x+6\\\Leftrightarrow-x^{2} +4x+12+x-6=0\\\Leftrightarrow-x^{2} +5x+6=0\\\Leftrightarrow-x^{2} +6x-x+6=0\\\Leftrightarrow x^{2} -6x+x-6=0\\\Leftrightarrow x(x-6)+1(x-6)=0\\\Leftrightarrow(x+1)(x-6)=0\\\Leftrightarrow x=6,-1$

The table representing function $f(x)=-x^{2} +4x+12$ and $g(x)=-x+6$ is included below.

For more information:

1. What is the y-intercept of the quadratic function f(x) = (x – 6)(x – 2)? (0,–6) (0,12) (–8,0) (2,0)

2. Which is the graph of f(x) = (x – 1)(x + 4)?

6 0

1 month ago