Which function represents the graph?

Answers

Answer 1

Answer:

option 3

Step-by-step explanation:

We know this is a cube-root parent function due to the shape of the curve. Option C moves the graphed function from the origin (0,0) to two units to the left and one unit upward.

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A television is 28.5 inches wide and 16 inches long.Using the Pythagorean Theorem, what is the length of the diagonal of the television, rounded to the nearest inch?

Answers

Answer:

33 in

Step-by-step explanation:

The Pythagorean theorem tells you ...

diagonal² = length² +width²

diagonal² = (16 in)² +(28.5 in)² = 1068.25 in²

diagonal = √(1068.25 in²) ≈ 32.684 in

The diagonal of the television is about 33 inches.

Write a system of equations to describe the situation below, solve using substitution, and fillin the blanks.Nora, an office manager, needs to find a courier to deliver a package. The first courier she isconsidering charges a fee of $14 plus $5 per kilogram. The second charges $15 plus $4 perkilogram. Nora determines that, given her package's weight, the two courier services areequivalent in terms of cost. What is the weight? How much will it cost?

Answers

The first courier service cost is;

$5x+14$

Where, x is the number of kilograms delivered;

The second courier service cost is;

$4x+15$

Equating it, we have;

$\begin{gathered} 5x+14=4x+15 \n x=1 \end{gathered}$

Thus, the weight that will result in equal cost is 1 kilogram.

And the cost is 5( 1 )+14 = $19

Find the scale factor of the line segment dilation. AB: endpoints (-6, -3) and (-3,-9) to A'B': endpoints at (-2, -1) and (-1, -3). A) -1/3 B) 1/3 C) 3D) -3

Answers

we know that the endpoints of AB are

$\begin{gathered} (x_1,y_1)=\mleft(-6,-3\mright) \n (x_2,y_2)=(-3,-9) \end{gathered}$

and the distance formula is given by

$d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}$

By substituying these points, we have that

$d=\sqrt[]{(-3-(-6))^2+(-9-(-3))^2}$

which is equal to

$\begin{gathered} d=\sqrt[]{(-3+6)^2+(-9+3)^2} \n d=\sqrt[]{3^2+(-6)^2} \end{gathered}$

then

$\begin{gathered} d=\sqrt[]{9+36} \n d=\sqrt[]{45} \n d=\sqrt[]{9\cdot5} \n d=\sqrt[]{9}\cdot\sqrt[]{5} \n d=3\sqrt[]{5}\ldots..(A) \end{gathered}$

On the other hand, if

$\begin{gathered} (x_1,y_1)=(-2,-1) \n (x_2,y_2)=(-1,-3) \end{gathered}$

similarly to the previous case, the distance between the endpoint for A'B' is

$d=\sqrt[]{(-1-(-2))^2+(-3-(-1))^2}$

which is equal to

$\begin{gathered} d=\sqrt[]{(-1+2)^2+(-3+1)^2} \n d=\sqrt[]{1^2+(-2)^2} \n d=\sqrt[]{1+4} \n d=\sqrt[]{5}\ldots..(B) \end{gathered}$

Now, by comparing equation A and equation B, we can see that, the scale factor is 1/3.

Then, the answer is B.

Need help with 5. Part C

Answers

Answer:

BA = 12

Step-by-step explanation:

All the right triangles are similar, so the ratio of hypotenuse to long side is a constant. In particular ΔABC ~ ΔDBA, so ...

hypotenuse/long-side = BC/BA = BA/BD

Cross multiplying gives ...

BA² = BC·BD

BA = √(BC·BD) = √(16·9)

BA = 12

The formula for the length of the hypotenuse in a right triangle is squared a^2+b^2 where a and b are the lengths

Answers

Answer:

the hypotenuse in a right triangle formula is c= sqrt(a^2+b^2)

Step-by-step explanation:

The original Pythagorean's theorem equation is a^2+b^2=c^2 which we can take the square root of to isolate and solve for the equation for just the hypotenuse length. This of course is assuming that a and b are the legs of the triangle. Let me know if this wasn't what you were asking or if you need more clarification and I'll amend my answer

34.00 -A video game is on sale at Amazon for 35% off the original price of $28.50. Both Pat and Henri want to purchase the game, but they only have $21 each. They will have to pay 10% sales tax. Pat and Henri have different strategies to calculate the price and decide if they have enough money to get the game. Pat takes 35% of $28.50 and subtracts that from the original price. She takes 10% of the sale price and adds it to the sale price to find the total amount she would have to pay. Henri finds 65% of the original price and then calculates 110% of the sale price. What is the sale price of the video game with tax? (1 point) Will Pat's strategy calculate the correct total? Explain the calculations. (2 points) Will Henri's strategy calculate the correct total? Explain the calculations. (2 points) Do they each have enough to purchase the game? (2 points) Explain your answers using complete sentences and show your work