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3 years ago

Find the product. (5x² – 4x+6)(–2x+3) = 0

Mathematics

1 answer:

Nady [450]3 years ago

7 0

Answer:

x = 3/2

Step-by-step explanation:

Solve for x over the real numbers:

(5 x^2 - 4 x + 6) (3 - 2 x) = 0

Split into two equations:

3 - 2 x = 0 or 5 x^2 - 4 x + 6 = 0

Multiply both sides by -1:

2 x - 3 = 0 or 5 x^2 - 4 x + 6 = 0

Add 3 to both sides:

2 x = 3 or 5 x^2 - 4 x + 6 = 0

Divide both sides by 2:

x = 3/2 or 5 x^2 - 4 x + 6 = 0

Divide both sides by 5:

x = 3/2 or x^2 - (4 x)/5 + 6/5 = 0

Subtract 6/5 from both sides:

x = 3/2 or x^2 - (4 x)/5 = -6/5

Add 4/25 to both sides:

x = 3/2 or x^2 - (4 x)/5 + 4/25 = -26/25

Write the left hand side as a square:

x = 3/2 or (x - 2/5)^2 = -26/25

(x - 2/5)^2 = -26/25 has no solution since for all x on the real line, (x - 2/5)^2 >=0 and -26/25<0:

Answer: x = 3/2

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Chad earned $30 for raking leaves. He has also earned money by doing chores for 6 weeks. Altogether, he has earned $120. How muc

galben [10]

You know that he makes $90 for doing chores, dividing that by 6 and you get that each week he earns $15 for chores.

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3 years ago

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Find the distance between points P(5, 1) and Q(3, 4) to the nearest tenth

pav-90 [236]

Answer:

$\sqrt{13}$ units

Step-by-step explanation:

The distance formula is $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ where $d$ is the distance between points $(x_1,y_1)$ and $(x_2,y_2)$ . Let $(x_1,y_1)\rightarrow(5,1)$ and $(x_2,y_2)\rightarrow(3,4)$ , thus:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(3-5)^2+(4-1)^2}\\\\d=\sqrt{(-2)^2+(3)^2}\\\\d=\sqrt{4+9}\\\\d=\sqrt{13}$

Therefore, the distance between points P(5,1) and Q(3,4) is $\sqrt{13}$ units.

8 0

3 years ago

an NFL team kicker misses 2 out of every 11 field goals if he missed 8 filed goals throughout the season how many did he attempt

Aleks [24]

For this equation, you want to do it in fractions/ratios to properly solve it. You would have his average misses out of every field goal and his real missed attempts over total. It would look like this

$\frac{2}{11}$ = $\frac{8}{x}$

You want to solve for x since x is the total amount of field goals that he attempted. You can do this by doing cross multiplication:

(2)(x) = (8)(11)

From here you can get:

2x = 88

Divide each side by 2 to isolate x and you get:

x= 44

So he made a total of 44 field goals.

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3 years ago

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There are 75 silver beads and 15 gold beads in each package of beads. What is the unit rate in silver beads per gold bead?

Leviafan [203]

Silver beads = 75
gold beads = 15

75/15 = 5

5/1, or for every 1 gold bead there is, there is 5 silver beads

5 is your answer

hope this helps <em>Soto0405</em>!

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3 years ago

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Can someone help me asap !!

aivan3 [116]

Answer:

The answer is negative. Answer choice B

Step-by-step explanation:

Here is the question:

-3^40(5.6/2.1)

According to order of operations, we must do -3^40 first.

Its important to note that -3^40 is different than (-3)^40. In the problem you specified, the ^40 only applies to the 3, not -3. So, first we do 3^40 which is a huge number. And then, we need to add a negative symbol to that huge number. So now we have a massive negative number multiplied by 5.6/2.1, which is obviously positive. Obviously, a negative number multiplied by a positive number is still negative. Therfore, the answer is negative.

I hope my answer helped you :)

If you are happy with my answer please vote Brainliest. Thanks!

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2 years ago