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3 years ago

Five time the difference of a number and seven is twenty-five.”

Mathematics

1 answer:

Tom [10]3 years ago

6 0

5(x-7) = 25
x-7 = 25/5=5
x = 5+7=12

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Which quadratic equation has the roots -1+4i and -1-4i

AysviL [449]

Answer:

Step-by-step explanation:

Solve the quadratic in answer choice C using the quadratic formula:

$x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}$ .

Here a=1, b=2, and c=17.

Substitute and you'll have:

$x=\frac{-b+/-\sqrt{b^2-4ac} }{2a} =\frac{-2+/-\sqrt{(-2)^2-4(1)(17)} }{2(1)}=\frac{-2+/-\sqrt{4-68}}{2)}$

$\frac{-2+/-\sqrt{-64} }{2}=\frac{-2+/-8i }{2}=-1+/- 4i$

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3 years ago

Abby earns $48 for babysitting for 6 hours . At that rate , how many hours will it take her to make $72

never [62]

Answer:

nine hours

Step-by-step explanation:

48 divided by 6 is 8 and 8 times 9 is 72

8 0

3 years ago

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-8 + (-2)<br> Plz answer

skelet666 [1.2K]

Answer:

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Step-by-step explanation:

5 0

2 years ago

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Find the gcf of the terms of the polynomial. 44x^5 16x^3

julia-pushkina [17]

$44x^5=4x^3\cdot11x^2\\\\16x^3=4x^3\cdot4\\\\\boxed{GCF(44x^5;\ 16x^3)=4x^3}\to\fbox{c.}$

7 0

2 years ago

Sin(x+pi/4)-sin(x-pi/4)=1 solve the equation

evablogger [386]

Sin(α+β)=sin(α)cos(β)+cos(α)sin(β)
sin(α-β)=sin(α)cos(β)-cos(α)sin(β)

$sin(x+ \frac{ \pi }{4} )=sin(x)cos\frac{ \pi }{4} +cos(x)sin\frac{ \pi }{4} \\ sin(x- \frac{ \pi }{4} )=sin(x)cos\frac{ \pi }{4} -cos(x)sin\frac{ \pi }{4} \\ \\ \\sin(x+ \frac{ \pi }{4} )-sin(x- \frac{ \pi }{4} ) =1 \\ sin(x)cos\frac{ \pi }{4} +cos(x)sin\frac{ \pi }{4} -(sin(x)cos\frac{ \pi }{4} -cos(x)sin\frac{ \pi }{4} )=1 \\ sin(x)cos\frac{ \pi }{4} +cos(x)sin\frac{ \pi }{4} -sin(x)cos\frac{ \pi }{4} +cos(x)sin\frac{ \pi }{4} =1 \\ cos(x)sin\frac{ \pi }{4} +cos(x)sin\frac{ \pi }{4} =1 \\$
$2cos(x)sin\frac{ \pi }{4} =1 \\ sin\frac{ \pi }{4} = \frac{ \sqrt{2} }{2} \\ 2cos(x) \frac{ \sqrt{2} }{2} =1 \\ 2 \cdot \frac{ \sqrt{2} }{2}cos(x) =1 \\ \sqrt{2} cos(x)=1 \\$
$cos(x)= \frac{1}{ \sqrt{2} } \\ x=\pm arccos \frac{1}{ \sqrt{2} }+2 \pi k , k \in Z \\ x=\pm \frac{ \pi }{4} +2 \pi k , k \in Z$

6 0

2 years ago