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3 years ago

4x+5=x(x+8) how do I solve this?

Mathematics

1 answer:

GenaCL600 [577]3 years ago

3 0

Answer:

$x=1,-5$

Step-by-step explanation:

$We\ are\ given\ that,\\4x+5=x(x+8)\\Hence\ by\ expanding\ the\ terms,\\4x+5=x^2+8x\\Hence\ by\ moving\ 4x\ and\ 5 to\ the\ RHS\ ,\\0=x^2+8x-4x-5\\Hence\ by\ simplifying\ the\ RHS,\\0=x^2+4x-5\\Now,\\We\ take\ a\ closer\ look\ at\ the\ RHS,\\x^2+4x-5\ can\ also\ be\ written\ as:\\=x^2+5x-x-5\\Now, By\ factorizing,\\x(x+5)-1(x+5)\\=(x-1)(x+5)\\Hence,\\(x-1)(x+5)=0\\Now,\\To\ nullify\ the\ LHS\ to\ 0,\ either\ the\ term\ (x-1)\ or/and\ (x+5)\ should\ equate\ to\ 0.\\Hence,\\x-1=0\\$ $x=1\ is\ our\ first\ solution\\(x+5)=0\\x=-5\ is\ our\ second\ solution\\Hence,\\x=1,-5$

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I needhelp please :(

Karo-lina-s [1.5K]

Answer:

1/8

Step-by-step explanation:

-5/8+3/4 =( -20+24)/32 = 4/32

4/32= 1/8

4 0

3 years ago

Willing to brainlist solve 16-17 please during this exam

ivann1987 [24]

Answer:

16. B

17. B

Step-by-step explanation:

16. The intercept form of the parabola is

$y=a(x-x_1)(x-x_2),$

where $x_1, x_2$ are two x-intercepts.

In your case,

$x_1=2\\ \\x_2=-8$

$y=a(x-2)(x-(-8))\\ \\y=a(x-2)(x+8)$

To find a, substitute coordinates of the point (-6,-4) parabola is passing through

$-4=a(-6-2)(-6+8)\\ \\-4=-16a\\ \\a=\dfrac{1}{4}$

and

$y=\dfrac{1}{4}(x-2)(x+8)$

17. The vertex form of the parabola equation is

$-2p(y-k)=(x-h)^2,$

where (h,k) are the coordinates of the vertex and sign "-" because parabola goes down.

In your case, vertex is (2,3), so

$-2p(y-3)=(x-2)^2$

The vertex is 3 units from the focus, then

$\dfrac{p}{2}=3\\ \\p=6$

The equation of the parabola is

$-2\cdot 6(y-3)=(x-2)^2\\ \\y=-\dfrac{1}{12}(x-3)^2+3$

8 0

4 years ago

Nina can ride her bike 63,360 feet in 3,400 seconds, and Sophia can ride her bike 10 miles in 1 hour. What is Nina's rate in mil

blondinia [14]

Hello, the answer for your question is 12.7.

5 0

4 years ago

Read 2 more answers

Q6.) Write the slope-intercept equation of the function f whose graph satisifies the given conditions.

Lady_Fox [76]

3x-7y-14 = 0

7y = 3x-14

y = (3/7)x - 2

slope of perpendicular line = -1/(3/7) = -7/3

so function f which is perpendicular and has same y-intercept is

y = (-7/3)x - 2

5 0

3 years ago

Read 2 more answers

Suppose we want to test the claim that the majority of adults are in favor of raising the vote age to 21. Is the hypothesis test

Fofino [41]

Answer:

The hypothesis test is right-tailed.

Step-by-step explanation:

We are given that we want to test the claim that the majority of adults are in favor of raising the voting age to 21.

Let p = proportion of adults who are in favor of raising the voting age to 21

So, Null Hypothesis, $H_0$ : p $\leq$ 50%

Alternate Hypothesis, $H_A$ : p > 50%

As we know that the majority is there when we have more 50% chance of happening of that event.

Here, the null hypothesis states that the proportion of adults who are in favor of raising the voting age to 21 is less or equal to 50%.

On the other hand, the alternate hypothesis states that the proportion of adults who are in favor of raising the voting age to 21 is more than 50%.

This shows that our hypothesis test is right-tailed because in the alternate hypothesis, the greater than sign is included.

8 0

3 years ago