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3 years ago

Solve the quadratic equation and give both solutions. 14x^2 − 29x − 15 = 0

Mathematics

1 answer:

BartSMP [9]3 years ago

7 0

Answer:

Step-by-step explanation:

$x_{1,\:2}=\frac{-\left(-29\right)\pm \sqrt{\left(-29\right)^2-4\cdot \:14\left(-15\right)}}{2\cdot \:14}$ so $x=\frac{5}{2}$ $x=-\frac{3}{7}$

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frez [133]

Answer is A
Triangle UVW ~ Triangle UWT ~ Triangle WVT

5 0

3 years ago

F(x) = 2x + 3g(x) = 2x² + 6x + 13Find: (gºf)(x)

Butoxors [25]

Answer:

The function (gof)(x) is;

$(g\circ f)(x)=8x^2+36x+49$

Explanation:

Given the functions;

$\begin{gathered} f(x)=2x+3 \\ g(x)=2x^2+6x+13 \end{gathered}$

Solving for the function;

$(g\circ f)(x)=g(f(x))$

so, we have;

$\begin{gathered} g(f(x))=2(f(x))^2+6(f(x))+13 \\ g(f(x))=2(2x+3)^2+6(2x+3)+13 \\ g(f(x))=2(4x^2+12x+9)^{}+6(2x)+6(3)+13 \\ g(f(x))=8x^2+24x+18^{}+12x+18+13 \\ g(f(x))=8x^2+24x^{}+12x+18+18+13 \\ g(f(x))=8x^2+36x+49 \end{gathered}$

Therefore, the function (gof)(x) is;

$(g\circ f)(x)=8x^2+36x+49$

5 0

1 year ago

Pls answer the question in the picture!!! I NEED HELP

pentagon [3]

Answer:

448=h

Step-by-step explanation:

512 - h = 16 x 2²

512 - h = 16 x 4

512 -h = 64

then subtract 512 from both sides

-h = -448

two negatives equal a positive

h=448

7 0

3 years ago

Tyler sells 20 of his records (r) and has 74 left. Which equation best<br> represents this scenario?

Anna71 [15]

Answer:

Equation: r-20=74

Step-by-step explanation:

So he started with 94. I got B

6 0

3 years ago

Find the x-intercept of the parabola with vertex (1,-13) and y-intercept (0,-11).

Advocard [28]

1. find equation

general solutions are:
$y = a x^{2} +bx +c \\ \\ \frac{dy}{dx} = 2ax +b$

for P(0,-11)

$-11 = 0a + 0b +c$ ⇒ $c = -11$

for p(1,-13)
$-13 = 1a + 1b -11 \\ a+b = -2$

and

$0 = 2a + b \\ b = -2a$

solve for a and b:
$a - 2a = -2 \\ a = 2 \\ b = -4$

the total equation is now:

$y = 2 x^{2} -4x -11$

To find the x-intercept set y=0 and solve for x

$0 = 2 x^{2} -4x-11$

4 0

3 years ago

Read 2 more answers