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likoan [24]
3 years ago
13

Use the drawing tool(s) to form the correct answer on the provided graph.

Mathematics
2 answers:
Veseljchak [2.6K]3 years ago
6 0
In the attached, the dotted red graph is g(x). The solid black graph is the function shifted 5 units left.

Furkat [3]3 years ago
3 0

Answer:

Points (-9,0) and (-4,0) represent zeros of the new function

Step-by-step explanation:

In the attached diagram the graph of the function g(x)=x^2+3x-4 is represented by the red curve.

When translating the graph of the function g(x) 5 units to the left the function becomes

f(x)=(x+5)^2+3(x+5)-4.

The function g(x) has zeros 1 and -4 (see attached diagram). Then zeros of the new function f(x) are exactly 5 units shifted to the right zeros of the function g(x). So, points x=1-5=-4 and x=-4-5=-9 represent zeros of the function f(x).

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Use Fermat's Little Theorem to determine 7^542 mod 13.
m_a_m_a [10]

a^{p-1} \equiv 1 \pmod p where p is prime, a\in\mathbb{Z} and a is not divisible by p.

7^{13-1}\equiv 1 \pmod {13}\\7^{12}\equiv 1 \pmod {13}\\\\542=45\cdot12+2\\\\7^{45\cdot 12}\equiv 1 \pmod {13}\\7^{45\cdot 12+2}\equiv 7^2 \pmod {13}\\7^{542}\equiv 49 \pmod{13}

4 0
3 years ago
Read 2 more answers
A triangle has base angles of 52.5 degrees each. What is the measurement of the third angle?
guajiro [1.7K]

Answer:

The answer is 75 degrees

Step-by-step explanation:

All triangles interior angles will at up to 180. 52.5+52.5= 105. 180-105= 75 degrees.

3 0
3 years ago
Write the equation for this line in y=blanks+blank<br><br> **Please see picture**
Diano4ka-milaya [45]

Equation for this line is y = -2x + (-4)

<u>Step-by-step explanation:</u>

Step 1:

Slope intercept equation for a line is of the form y= mx +  b, where m is the slope and b is the y-intercept.

Step 2:

Calculate slope of the given line.

⇒ m = (y2 - y1)/(x2 - x1) = (2 - (-2))/(-3 - (-1)

⇒ m = 4/-2 = -2

Step 3:

Find y-intercept

⇒ b = - 4

Step 4:

Substitute values to get equation

⇒ y = -x -4 or y = - (x + 4)

5 0
3 years ago
Find the function value of cos^2 (7pi/8)
Kamila [148]
\cos^2\dfrac{7\pi}8=\dfrac12\left(1+\cos\dfrac{7\pi}4\right)
=\dfrac12+\dfrac12\cos\left(-\dfrac\pi4\right)
=\dfrac12+\dfrac12\cos\dfrac\pi4
=\dfrac12+\dfrac1{2\sqrt2}
=\dfrac{\sqrt2+1}{2\sqrt2}
=\dfrac{2+\sqrt2}4
7 0
2 years ago
The value of 2 in 204.75 is how many times the value of 2 in 103.52​
Sloan [31]
It would be 10000 times
4 0
3 years ago
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