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Tresset [83]
3 years ago
10

Write the quadratic equation whose roots are 6 and -2, and whose leading coefficient is 4,

Mathematics
2 answers:
Zinaida [17]3 years ago
8 0

Answer:

4x^2 - 16x - 48 = 0.

Step-by-step explanation:

In a factor form it is:

4(x + 2)(x - 6) = 0

Convert to standard form:

4(x^2 - 4x - 12) = 0

4x^2 - 16x - 48 = 0.

topjm [15]3 years ago
8 0

Answer:

.,mkglhrtjkhkoj5oyo5ktj4o5yj4op5yj4w'

Step-by-step explanation:

GET SMARTER NOT HARDER MS.

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William bought a new sweater at the store when they were having a 45% off sale.
Lady bird [3.3K]
William payed $8.55 at the discount price
5 0
3 years ago
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A game designer must decide how to color four buildings that are in a row. Using only the colors yellow, green, red, and blue, e
topjm [15]

Answer:

The number of ways are there to paint the four buildings is 48.

Step-by-step explanation:

I) let the first building be any color. Therefore the first building can be painted with any of the 4 colors.

Therefore the first building can be colored in 4 ways.

ii) the second building can be colored in 3 ways since it cannot be colored the

same color as the first building.

iii) the third building can also be colored in 3 ways.

iv) the last building can be colored in 2 ways because it cannot be the same color as the first building or the color of the adjacent building.

Therefore the total number of ways the buildings can be colored = 4 \times 3 \times 3  \times 2 = 48.

7 0
3 years ago
Use the given transformation to evaluate the integral.
GuDViN [60]

For the transformation

\begin{cases}x=7u+v\\y=u+7v\end{cases}

the Jacobian is

\dfrac{\partial(x,y)}{\partial(u,v)}=\begin{bmatrix}7&1\\1&7\end{bmatrix}

with determinant

\det\left(\begin{bmatrix}7&1\\1&7\end{bmatrix}\right)=48

The vertices of the triangle in the u,v-plane are

(x,y)=(0,0)\implies(u,v)=(0,0)

(x,y)=(7,1)\implies(u,v)=(1,0)

(x,y)=(1,7)\implies(u,v)=(0,1)

Then the integral is

\displaystyle\iint_R(x-8y)\,\mathrm dA=-48\int_0^1\int_0^{1-v}(u+55v)\,\mathrm du\,\mathrm dv=\boxed{-448}

3 0
3 years ago
How can complex fractions be used to solve problems involving ratios
strojnjashka [21]
When you have ratios, and some unknowns, you can create complex fractions from them. Bring them to the same denominator, and solve for x.

Example - we have this proportion:
2-x
5-45
And we can change it into fraction:
\frac{2}{5}=\frac{x}{45}

\frac{2*9}{5*9}=\frac{x}{45}

\frac{18}{45}=\frac{x}{45}
18=x

In case of more complex fractions it may come in handy.
5 0
3 years ago
I'm stumped. Honestly. Please help
Ugo [173]

Answer:

1: Tip, $2.23

2: Tax, $0.74

3: Total, $17.87

4: Split, $5.95

Step-by-step explanation:

To find the tip, you must multiply the tip percentage by the bill, (which has not been taxed yet). The tip is 15%, which is equivalent to 0.15. The tip multiplied by the bill (0.15×14.90) equals $2.23.

To find the tax, you do the same as you did with the tip. The tax is 5%, which equals 0.05. The tax multiplied by the bill, (0.05×14.90) equals $0.74. The total cost is the bill, tip, and tax added together, (14.90+2.23+0.74) equals $17.87. To find out how much each person will pay equally, you must divide the total bill by the amount of people, (17.87÷3) which equals $5.95.

8 0
3 years ago
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