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3 years ago

Greater root of 3x^2+10x-8=0

Mathematics

1 answer:

Leokris [45]3 years ago

3 0

Answer:

The greater root of $3x^2 + 10x - 8 = 0$ is x = 3/2.

Step-by-step explanation:

Here, the given equation is : $3x^2 + 10x - 8 = 0$

Now, solving the given expression by SPLITTING THE MIDDLE TERM,

$3x^2 + 10x - 8 = 0 \implies 3x^2 + 12x - 2x - 8 = 0\\\implies 3x(x + 4)-2(x +4) =0 \\\implies (3x -2)(x +4) = 0\\$

⇒ Either ( 3x -2) = 0, or (x+4) = 0

⇒Either x = 2/3 , or x = -4

So, the two possible roots of the given equation are, x = 3/2 and x = -4

Now, out of both two possible roots, x 3/2 is the Greater.

Hence, the greater root of $3x^2 + 10x - 8 = 0$ is x = 3/2.

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3(r-6)+2=4(r+2)-21 find the value of x and show steps

MAXImum [283]

3(r-6) +2 = 4(r+2) -21
3r - 6r +2 = 4r +8 -21
-3r +2 = 4r -13
2 = 7r -13
15 = 7r
r = $\frac{15}{2}$
r = 7.5

7 0

3 years ago

A recipe for cookie dough calls for three and two third cups of flour. Jane only ha 1 and three fourth cups of flour. How many m

Blizzard [7]

Answer: Jane needs 1 11/ 12 cups of flour more to make the cookie dough

Step-by-step explanation:

Recipe for cookie dough= 3 2/3cups of flour

Amount of flour available for Jane = 1 3/4 cups of flour

Amount of flour Jane needs to add to make cookie dough

=3 2/3 - 1 3/4

changing to improper fraction to make it easier to subtract

11/3 -7/4 = (44- 21)/12 = 23/12 = 1 11/12 cups of flour

5 0

3 years ago

Problem Page

garri49 [273]

Answer:

Bailey family's sprinkler was used for 35 hours and Harris family's sprinkler was used for 20 hours.

Step-by-step explanation:

Set up a system of equations.

Let be "b" the time Bailey family's sprinkler was used and "h" the time Harris family's sprinkler was used.

Then:

$\left \{ {{b+h=55} \atop {15b+40h= 1,325}} \right.$

You can use the Elimination method. Multiply the first equation by -15, then add both equations and solve for "h":

$\left \{ {{-15b-15h=-825} \atop {15b+40h= 1,325}} \right.\\.............................\\25h=500\\\\h=\frac{500}{25}\\\\h=20$

Substitute $h=20$ into an original equation and solve for "b":

$b+20=55\\\\b=55-20\\\\b=35$

3 0

3 years ago

2. Line A passes through the points (0,-5) and (12,1). Line b passes through the points (0,-4) and (10,1).

Stels [109]

So if line A passes through (0,-5) and (12,1) you can put it into the equation m=y2-y1/x2-x1. m=1+5/12-0 m=6/12 or m=1/2
if line B passes through (0,-4) and (10,1) you can use the same equation to find the slope. m=1+4/10-0 m=5/10 or m=1/2
(0,-5) and (0,-4) are y-intercepts so you can now put it into the equation y=mx+b
line A: y=1/2x-5
line B: y=1/2x-4
because the slope is the same and the y-intercept is different they will never intersect.
let me know if this helped i’m glad to.

7 0

3 years ago

17. Which of the following is the correct formula for finding power in a DC circuit? A. P = I2R B. P = VR C. P = IR D. P = V2I

netineya [11]

Answer:

Choice A. P = I² · R where

P is the power in the DC circuit,
I is the current through the circuit, and
R is the total resistance of the circuit.

Step-by-step explanation:

Electrical power is the rate at which the electrical force does work. So what is electrical work? That's the work $W$ that the electrical force do when it moves charges $Q$ across a potential difference $V$ :