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3 years ago

A number that is 7 more than 3 times x

Mathematics

2 answers:

andrew11 [14]3 years ago

7 0

Answer:

Step-by-step explanation:

7 multiplied by 3

is =28

klio [65]3 years ago

6 0

Not sure what the question is but 3x + 7 is the algebraic expression that would represent this statement.

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Complete the square 2m2−3m=−50

rusak2 [61]

Answer:

Completing the square answer

$\left(m - \frac{3}{4}\right)^2 = - \frac{391}{16}$

Solution set

$m = \frac{3}{4} + \frac{\sqrt[]{391}i}{4} = 0.75 + 4.94343 \, i$

$m = \frac{3}{4} - \frac{\sqrt[]{391}i}{4}$ = $0.75 - 4.94343 \, i$

Step-by-step explanation:

Assuming the question is correctly interpreted as 2m2 = 2m², here is how to proceed

We have $2m^2 - 3m =-50$

Divide by 2 on both sides

$m^2 - \frac{3}{2}m = - 25$

Take half of the coefficient of $x$ and square it

$\left[ - \frac{3}{2} \cdot \frac{1}{2} \right]^2 = \frac{9}{16}$

Add the result to both sides

$m^2 - \frac{3}{2}m + \frac{9}{16} = - 25 + \frac{9}{16}$

$m^2 - \frac{3}{2}m + \frac{9}{16}$ can be re-written as a perfect square

$\left(m - \frac{3}{4}\right)^2$

The RHS becomes

$- 25 + \frac{9}{16} = \frac{(-25)(16) + 9}{9} = \frac{-391}{16}$

Therefore,

$\left(m - \frac{3}{4}\right)^2 = - \frac{391}{16}$

Take the square root of both side

$m - \frac{3}{4} = \pm \sqrt[]{ - \frac{391}{16}}$

Simplify

$m - \frac{3}{4} = \pm \frac{\sqrt[]{391}i}{4}$

Adding $\frac{3}{4}$ both sides

$m = \frac{3}{4} + \frac{\sqrt[]{391}i}{4}$

This gives the two solutions

$m= \frac{3}{4} + \frac{\sqrt[]{391}i}{4}$ and

$m = \frac{3}{4} - \frac{\sqrt[]{391}i}{4}$

which becomes

$m = 0.75 + 4.94343 \, i$ and

$m = 0.75 - 4.94343 \, i$

4 0

1 year ago

What kind of angles are ADB and BDC

Taya2010 [7]

Answer:

Triangles.

Step-by-step explanation:

6 0

3 years ago

Please help me answer this question

lbvjy [14]

A. Let s be the smallest integer
B. We must add 2 to get the next greater integer
C. Second integer is s+2
D. s+(s+2)=118
2•s+2=118
2s+2-2=118-2
2s=116
2s/2=116/2
s=58
If the smallest even integer is 58 the consecutive integer is 58+2=60
Verify
58+60=118 ✔️

7 0

3 years ago

How much is 79tens plus 10 tens in standard form

IrinaVladis [17]

Is it 79 sets of ten or 79 tenths

6 0

3 years ago

Read 2 more answers

What is the first step to solve the equation 9h-31=99?

pishuonlain [190]

Add 31 to both sides which will give you

9h = 130