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ehidna [41]
3 years ago
11

What is the degree classification of this polynomial? x^2+4x-8

Mathematics
1 answer:
Darina [25.2K]3 years ago
6 0

You can find the degree classification by what is the greatest power shown in the polynomial. In this case, your answer is 2. Remember, it will be easier to find the degree when you order the terms from greatest to least by powers.

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Which number line models the expression -1 1/4 - (-1/2)
aniked [119]

Answer:

option on c or under the first answer

8 0
3 years ago
The triangle and the trapezoid have the same area. Base b2 is twice the length of base b1. What are the lenghts of the bases of
Sati [7]

Answer:

<h2>The lengths of the bases of the trapezoid:</h2><h2>42/h cm and 84/h cm.</h2>

Step-by-step explanation:

The formula of an area of a triangle:

A=\dfrac{bh}{2}

<em>b</em><em> </em>- base

<em>h</em> - height

We have <em>b = 21cm, h = 6cm</em>.

Substitute:

A=\dfrac{(21)(6)}{2}=63\ cm^2

The formula of an area of a trapezoid:

A=\dfrac{b_1+b_2}{2}\cdot h

<em>b₁, b₂</em> - bases

<em>h</em><em> - </em>height

We have <em>b₁ = 2b₂</em>, therefore <em>b₁ + b₂ = 2b₂ + b₂ = 3b₂</em>.

The area of a triangle and the area of a trapezoid are the same.

Therefore

\dfrac{3b_2}{2}\cdot h=63         <em>multiply both sides by 2</em>

3b_2h=126          <em>divide both sides by 3</em>

b_2h=42         <em>divide both sides by h</em>

b_2=\dfrac{42}{h}

b_1=2b_2\to b_1=2\cdot\dfrac{42}{h}=\dfrac{84}{h}

8 0
3 years ago
Read 2 more answers
Find which term in the geometric sequence 1,3,9,27,... is the first to exceed 7,000.
Zielflug [23.3K]

The common ratio between terms is 3, so the sequence has general n-th term

a_n=3^{n-1}

for n\ge1. The term exceeds 7000 when

3^{n-1}>7000\implies n-1>\log_37000\implies n>1+\log_37000\approx9.06

which means the first time a_n exceeds 7000 occurs when n=10. Indeed,

a_{10}=3^{10-1}=19,683

while the previous term would have been

a_9=3^{9-1}=6561

8 0
3 years ago
I’ll send a picture of problem and graph I don’t know how to write it out on here.
JulsSmile [24]

• Given the table of values, you can identify these points:

(0,4),(1,8),(2,12),(3,16),(5,24),(6,28),(7,32)

If you plot them on a Coordinate Plane, you get:

As you can observe, it is a Linear Function.

• The equation of a line in Slope-Intercept Form is:

y=mx+b

Where "m" is the slope of the line and "b" is the y-intercept.

In this case, you can identify in the graph that:

b=4

Therefore, you can substitute that value and the coordinates of one of the points on the line, into this equation:

y=mx+b

And then solve for "m", in order to find the slope of the line.

Using this point:

(1,8)

You get:

\begin{gathered} 8=m(1)+4 \\ 8-4=m \\ m=4 \end{gathered}

Therefore, the equation for the data in Slope-Intercept Form is:

y=4x+4

Hence, the answer is:

• It represents a Linear Function.

,

• Equation:

y=4x+4

8 0
1 year ago
A map has a 1 inch : 20 miles scale. If two cities are 1,214
storchak [24]
Its 10+20= 30 and 10++20=30
3 0
3 years ago
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