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3 years ago

Given y=x2 + 9x + 20 find the zeroes.

Mathematics

1 answer:

Artyom0805 [142]3 years ago

3 0

Answer:

x=-5 x=-4

Step-by-step explanation:

y=x^2 + 9x + 20

We need to factor the equation

What 2 numbers multiply to 20 and add to 9

4*5 = 20

4+5 =9

y=(x+5) (x+4)

To find the zero's we set the equation equal to zero

0= (x+5) (x+4)

Using the zero product property

x+5 = 0 x+4=0

x=-5 x=-4

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Solve 4^x-5 = 6 for x using the change of base formula log base b of y equals log y over log b

Ronch [10]

Answer:

$4^x-5=6$ gives the solution $x=\frac{\log(11)}{\log(4)}$ .

$4^{x-5}=6$ gives the solution $x=\frac{\log(6)}{\log(4)}+5$ .

Step-by-step explanation:

I will solve both interpretations.

If we assume the equation is $4^{x}-5=6$ , then the following is the process:

$4^x-5=6$

Add 5 on both sides:

$4^x=6+5$

Simplify:

$4^x=11$

Now write an equivalent logarithm form:

$\log_4(11)=x$

$x=\log_4(11)$

Now using the change of base:

$x=\frac{\log(11)}{\log(4)}$ .

If we assume the equation is $4^{x-5}=6$ , then we use the following process:

$4^{x-5}=6$

Write an equivalent logarithm form:

$\log_4(6)=x-5$

$x-5=\log_4(6)$

Add 5 on both sides:

$x=\log_4(6)+5$

Use change of base formula:

$x=\frac{\log(6)}{\log(4)}+5$

6 0

3 years ago

How do I write a whole number in standard form

Vesna [10]

Answer:

The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y).

Step-by-step explanation:

hope this helps if yes then name brainliest laav :))

5 0

3 years ago

You enter a relay race. To start, you must run 20 yards to Checkpoint A. You then must turn and run 12 yards to Checkpoint B. La

Anarel [89]

Distance to checkpoint A from starting line = 20 yards.

Then from A to B distance = 12 yards.

Let us take starting point C.

So, it would make a right triangle.

We have AB = 12, AC = 20, we need to find BC, that is Hypotenuse of the right triangle.

According to Pythagoras theorem:

$BC^2 = AB^2+AC^2$

$BC^2 = 12^2+20^2$

$BC^2 = 144 +400 = 544$

$BC= \sqrt{544}$

BC = 23.32.

<h3>Therefore, 23.32 yards is the distance from Checkpoint B to the starting line.</h3>

7 0

3 years ago

Read 2 more answers

Help solve for r algebra

bija089 [108]

Answer:

$\frac{20}{7}$

Step-by-step explanation:

Multiply both sides by 7 to get rid of the denominator on the Right Side (RS). Do the same for the left side (LS) by multiplying both sides by 5 to get:

$7r=4(5)$

Simplify: $7r=20$

Divide both sides of the equation by 7 to get: $r=\frac{20}{7}$

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3 years ago

How long is a high school football game on average? I wanted to know about how long a high school football game lasts from start

Oksi-84 [34.3K]

I think its around the same time as an average NFL game so probably 2 maby 3 hours long

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3 years ago