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2 years ago

HELPPPPO PLEASE PLEASE

Mathematics

2 answers:

anyanavicka [17]2 years ago

7 0

Answer:

x = 37

Step-by-step explanation:

by using vertically opp angles

2x + 1 = 75

$x = \frac{75 - 1}{2} = 37$

KengaRu [80]2 years ago

7 0

Answer:

x=37

Step-by-step explanation:

When 2 lines cross like this, the angles on either side must add up to 180°, or a flat line. This means the angles across from each other, in this case 75° and (2x+1) ° are equal. So, we set 75=2x+1 and solve.

75-1=2x

74=2x

74/2=2x/2

x=37

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Which of the following graphs represents the function f(x) = x4 - 2x3 - 3x2 + 4x + 1?

s2008m [1.1K]

Answer: Graph D will be correct graph for the given function.

Explanation:

Given function $f(x) = x^4-2x^3-3x^2+4x+1$

Since it is a bi-quadratic equation thus it must have 4 roots and (0,1) is one of its point.

Moreover, the degree of the function is even thus the end behavior of the function is $f(x)\to+\infty$ , as $x\to-\infty$ and $f(x)\to+\infty$ as $x\to+\infty$

In graph A, function has four root but it does not have the end behavior same as function f(x).( because in this graph $f(x)\to-\infty$ , as $x\to-\infty$ and $f(x)\to-\infty$ , as $x\to+\infty$ .) so, it can not be the graph of given function.

In graph B, neither it has four root nor it has the end behavior same as function f(x).(because in this graph $f(x)\to+\infty$ as $x\to-\infty$ and $f(x)\to-\infty$ as $x\to+\infty$ .) so, it can not be the graph of given function.

In graph C, neither it has four root nor it has the same end behavior as function f(x).(because in this graph $f(x)\to-\infty$ as $x\to-\infty$ and $f(x)\to+\infty$ as $x\to\infty$ .) so, it also can not be the graph of given function.

In graph D it has four root as well as it has the same end behavior as the given function. Also it passes through the point (0,1).

Thus, graph D is the graph of given function.

4 0

3 years ago

Read 2 more answers

What is the approximate area of the congruent orange right triangles?

hichkok12 [17]

Answer:

17 in²

Step-by-step explanation:

area is equal to base multiplied to height by 2

base=3.23 in

height=5.12in

area of one triangle = 5.12 * 3.23/2

= 16.536/2

= 8.2688

these triangles are congruent so area of other triangle is also equal to 8.2688

total area= 2*8.2688

= 16.5376

round off

answer =17 in²

6 0

2 years ago

Read 2 more answers

How much will each person get if 4 people share 1/2 pound of grapes equally

dsp73

Divide amount of grapes by number of people.

= 1/2 lb ÷ 4 people

to divide a fraction, multiply by the reciprocal (inverse)

= 1/2 * 1/4
= (1*1)/(2*4)
= 1/8 pound

ANSWER: Each of the 4 people will get 1/8 pound of grapes.

Hope this helps! :)

3 0

3 years ago

Read 2 more answers

Please help me! And please no scam answers

Yuri [45]

Answer:

Average rate of change: $-3$

Step-by-step explanation:

Remember:

The average rate of change of a function over an interval $[a,b]$ is $\frac{f(b)-f(a)}{b-a}$

Given:

$[a,b]=[1,7]$

$f(b)=f(7)$

$f(a)=f(1)$

Calculation:

$f(b)=f(7)=-(7)^2+5(7)+14=-49+35+14=-49+49=0$

$f(a)=f(1)=-(1)^2+5(1)+14=-1+5+14=4+14=18$

$\frac{f(b)-f(a)}{b-a}=\frac{0-18}{7-1}=\frac{-18}{6}=-3$

Therefore, the average rate of change of the function $g(x)=-x^2+5x+14$ over the interval $1\leq x\leq7$ is $-3$ .

6 0

2 years ago

Write the explicit formula that represents the geometric sequence -2, 8, -32, 128

MissTica

So hmm the first term is -2

and if we divide one term by the term before it, we'd get the "common ratio" "r"

so hmm say -32/8 that gives us -4, so r = -4

thus $\bf n^{th}\textit{ term of a geometric sequence}\\\\
a_n=a_1r^{n-1}\qquad 
\begin{cases}
a_1=\textit{first term}\\
r=\textit{common ratio}\\
----------\\
a_1=-2\\
r=-4
\end{cases}\implies a_n=-2(-4)^{n-1}$

6 0

3 years ago