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3 years ago

If anyone can help with this ill mark Brainly

Mathematics

1 answer:

Natalka [10]3 years ago

6 0

Answer:

In this case, we can do substitution.

Step-by-step explanation:

For the first one, (s - t)(x) = ((x - 5) - 4x^2)(x) = x^2 - 21x

For the second one, (s*t)(x) = ((x - 5) *4x^2)(x) = 4x^4 - 20x^3

And for the last one, (s+t)(-2) = ((x - 5) + 4x^2)(-2) = -8x^2 - 2x + 10

Hope your happy with the answer :)

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WILL MARK BRAINLIEST!!!!!! PLEASE SHOW ALL WORK NESSISARY!!! SHOW FULL SOLUTIONS!!!!!! THANKS AND GOD BLESS!!!!

Irina-Kira [14]

9514 1404 393

Answer:

k = -1

Step-by-step explanation:

Put the given value of x in the equation, and solve the resulting equation for k.

2(5 -3) +k(1 +2·5) = k - 5 - 1

2(2) +k(11) = k -6 . . . . simplify a bit

10k = -10 . . . . . . . . . . add -4-k to both sides

k = -1 . . . . . . . . . . . . . divide by 10

The value of k is -1.

_____

<em>Check</em>

Use k = -1 in the original equation and solve for x.

2(x -3) -(1 +2x) = -1 -x -1

2x -6 -1 -2x = -x -2 . . . . eliminate parentheses

x = 7 -2 = 5 . . . . . . add x+7; answer checks OK

8 0

3 years ago

Evaluate lim x→∞ (3x+1)^(4/x), using l'hospital's rule as needed. show all work using proper notation. as you show your work, if

Alborosie

$\displaystyle\lim_{x\to\inty}(3x+1)^{4/x}=\lim_{x\to\infty}e^{\ln(3x+1)^{4/x}}=e^{\lim\limits_{x\to\infty}\ln(3x+1)^{4/x}}$

$\displaystyle\lim_{x\to\infty}\ln(3x+1)^{4/x}=\lim_{x\to\infty}\frac{4\ln(3x+1)}x\stackrel{\mathrm{LHR}}=\lim_{x\to\infty}\frac{4\frac3{3x+1}}1=\lim_{x\to\infty}\frac{12}{3x+1}=0$

$\implies\displaystyle\lim_{x\to\infty}(3x+1)^{4/x}=e^0=1$

4 0

3 years ago

Solve for x:<br><br>5/7 = 4x/83

Simora [160]

Step-by-step explanation:

$\to \dfrac{5}{7} = \dfrac{4x}{83}$

By cross multiplication,

→ 83(5) = 4x(7)

→ 415 = 28x

In decimal : 14.8214286

7 0

3 years ago

If the angle m/_AEB=47 and angle m/_AEC=105 with the angle AE = 0, what is m/_BED

algol13

Answer:

80*

Step-by-step explanation:

8 0

3 years ago

The surface area of a given cone is 1,885.7143 square inches. What is the slang height?

kap26 [50]

Answer:

If $r >> h$ , the slang height of the cone is approximately 23.521 inches.

Step-by-step explanation:

The surface area of a cone (A) is given by this formula:

$A = \pi \cdot r^{2} + 2\pi\cdot s$

Where:

$r$ - Base radius of the cone, measured in inches.

$s$ - Slant height, measured in inches.

In addition, the slant height is calculated by means of the Pythagorean Theorem:

$s = \sqrt{r^{2}+h^{2}}$

Where $h$ is the altitude of the cone, measured in inches. If $r >> h$ , then:

$s \approx r$

And:

$A = \pi\cdot r^{2} +2\pi\cdot r$

Given that $A = 1885.7143\,in^{2}$ , the following second-order polynomial is obtained:

$\pi \cdot r^{2} + 2\pi \cdot r -1885.7143\,in^{2} = 0$

Roots can be found by the Quadratic Formula:

$r_{1,2} = \frac{-2\pi \pm \sqrt{4\pi^{2}-4\pi\cdot (-1885.7143)}}{2\pi}$

$r_{1,2} \approx -1\,in \pm 24.521\,in$

$r_{1} \approx 23.521\,in \,\wedge\,r_{2}\approx -25.521\,in$

As radius is a positive unit, the first root is the only solution that is physically reasonable. Hence, the slang height of the cone is approximately 23.521 inches.

3 0

3 years ago