Ask question

Ask question

All categories

3 years ago

10

Write the quadratic equation whose roots are 5 and 6 and whose leading coefficient is 5

1 answer:

kolbaska11 [484]3 years ago

6 0

9514 1404 393

Answer:

5x^2 -55x +150 = 0

Step-by-step explanation:

A root of p means (x-p) is a factor. So, the factored form of the equation you want is ...

5(x -5)(x -6) = 0

5(x^2 -11x +30) = 0 . . . . . multiplying binomials

5x^2 -55x +150 = 0 . . . . applying the leading coefficient

You might be interested in

Help meeeeeeeeeeeeee

valina [46]

Answer:36!

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Average rate of change help!!

frez [133]

Given that the function is $f(x)=x^{3}-6 x^{2}+4 x+7$

We need to determine the average rate of change over the interval $0 \leq x \leq 5$

<u>Value of f(x) when x = 0:</u>

Substituting x = 0 in the function $f(x)=x^{3}-6 x^{2}+4 x+7$ , we have;

$f(0)=(0)^{3}-6 (0)^{2}+4 (0)+7$

$f(0)=0-0+0+7$

$f(0)=7$

Thus, the value of f(0) is 7.

<u>Value of f(x) when x = 5:</u>

Substituting x = 5 in the function $f(x)=x^{3}-6 x^{2}+4 x+7$ , we have;

$f(5)=(5)^{3}-6 (5)^{2}+4 (5)+7$

$f(5)=125-150+20+7$

$f(5)=2$

Thus, the value of f(5) is 2.

<u>Average rate of change:</u>

The average rate of change can be determined using the formula,

$Rate \ of \ change=\frac{f(b)-f(a)}{b-a}$

where $a=0$ and $b=5$

Thus, we have;

$Rate \ of \ change=\frac{f(5)-f(0)}{5-0}$

$Rate \ of \ change=\frac{2-7}{5-0}$

$Rate \ of \ change=\frac{-5}{5}$

$Rate \ of \ change=-1$

Thus, the average rate of change over the interval $0 \leq x \leq 5$ is -1.

3 0

3 years ago

Please help I will reward brainliest

Tresset [83]

Answer:

DEH and HEJ are complementary angles for example.

Step-by-step explanation:

We need to provide any 2 angles that sum to 90deg. We can clearly see that DEH and HEJ are complementary, we can see the same for JEK and KEF.

I don't believe there's more.

8 0

2 years ago

Read 2 more answers

A recipe for chili uses 1 1/2 times the recipe which equation helps Keith find how many cups of beans he needs

rewona [7]

Answer

multiplication

Step-by-step explanation:

8 0

3 years ago

Simplify.<br> 3 1<br> 8 8<br> OA)<br> 2<br> 1<br> B)<br> 2<br> C)<br> OD)<br> 8

lawyer [7]

Hello Love!! ♡　

»»————- $\red{Answer\:}$ ————-««

$\Huge{\boxed{\frac{1}{4}}}$

☆♬○♩●♪✧♩ $\bold{EXPLANATION\;}$ ♩✧♪●♩○♬☆

$\mathfrak{apply~the~fraction~rule~:}~\frac{a}{c}~ -~\frac{b}{c} = \frac{a~-~b}{c}$

$= \frac{3-1}{8}$

$\mathfrak{subtract~the~numbers~:}~ 3 - 1=2$

$=\frac{2}{8}$

$\mathfrak{cancel~the~numbers~:}~\frac{2}{8} = \frac{1}{4}$

$=\frac{1}{4}$

°:⋆ₓₒ　Hope It Helps. . .　ₓₒ⋆:°

$Answer~:$

$\mathfrak{Jace}$

6 0

3 years ago

Read 2 more answers