550 + 550 + 650 + 550 + 600 = ?

F(x)=6x^2-x-2<br> Please answer! I need help

Galina-37 [17]

This is the overall final answer in fraction and decimal form.

6 0

3 years ago

A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test.

Verdich [7]

the first option is the answer

Step-by-step explanation:

4c + 6a <= 120 [building hours]

4c + 4a <= 100 [testing hours]

4 * 20 + 6 * 6 <= 120

80 + 36 <= 120

116 <= 120

true, they have enough building hours

4 * 20 + 4 * 6 <= 100

80 + 24 <= 100

104 <= 100

false, they won't have enough testing hours

the first option is the answer

3 0

3 years ago

The function g(x) = –3x2 – 36x – 60 written in vertex form is g(x) = –3(x + 6)2 + 48. Which is one of the transformations applie

nikklg [1K]

The general vertex form is this:
v(x) = a (x-h)2 + k
where (h,k) is the coordinates of the of vertex.
and a indicates the widening or shrinking of the function compared to another parabolic function. If a become bigger, the graph becomes narrower. If a becomes negative, the graph is reflected over the x-axis.

Comparing f(x) = x2 with g(x) = -3(x+6)2 + 48, we have the following transformations:
The graph is reflected over the x-axis
The graph is made narrower.
The graph is shifted 6 units to the left.
The graph is shifted 48 units up.

From the choices we only have:
<span>The graph of f(x) = x2 is made narrower</span>

6 0

3 years ago

Justin is using the figure shown below to prove Pythagorean Theorem using triangle similarity: In the given triangle ABC, angle

Natali [406]

Option fourth "By the addition property of equality, AC² plus AB² = BC multiplied by DC plus AB² is correct.

<h3>What is the Pythagoras theorem?</h3>

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

The figure is missing.

The right-angle triangle is shown in the picture; please refer to the picture.

The missing options are attached; please refer to the picture.

We have a right-angle triangle shown in the picture.

The larger triangle ABC is similar to the smaller triangles as follows.

ΔABC ~ ΔDBA (By AA similarity)

ΔABC ~ ΔDAC (By AA similarity)

From the above similarity:

AC² or AB²

$\rm \dfrac{AB}{BD} = \dfrac{BC}{AB}$

After cross multiplication:

AB² = BC×BD

Now,

$\rm \dfrac{AC}{CD} = \dfrac{BC}{AC}$

AC² = BC×BD

AB² + AC² = BC×BD + BC×BD

AB² + AC² = 2BC×BD

Thus, the option fourth "By the addition property of equality, AC² plus AB² = BC multiplied by DC plus AB² is correct.

Learn more about Pythagoras' theorem here:

brainly.com/question/21511305

#SPJ1

6 0

2 years ago

Consider the following pair of equations: y = x + 4 y = −5x − 2 Explain how you will solve the pair of equations by substitution

marissa [1.9K]

Answer:

(-1, 3)

Step-by-step explanation:

to solve using substitution, you have to know the value of either x or y. in this example, they gave you the value of y already: y=x+4.

this means you can substitute the y for (x+4). if we substitute y for (x+4) in the equation y=-5x-2, we get this:

(x+4)=-5x-2

then solve for x

6x=-6

so x=-1

since we know the x value, we can solve for y

y=x+4

y=-1+4

y=3

so the final answer is (-1, 3)

6 0

3 years ago

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