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Novosadov [1.4K]
3 years ago
8

Solve the quadratic by quadratic formula 7x-10=x squared

Mathematics
1 answer:
alexgriva [62]3 years ago
4 0
0= x^2-7x+10

Factor
(x-5)(x-2)=0

Check
-5-2=-7, -5*-2=10

Use ZPP
x-5=0
x=5

x-2=0
x=2

Final answer: x=2, x=5
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Jean and Mark are going to fill a pool with 2 different sized hoses. Jean can fill the pool in 8 hours, while Mark can complete
lara31 [8.8K]
We can use fraction to solve this problem. Since Jean can fill the pool in 8 hours and Mark in 12 hours, we can use the formula X/8 + X/12 = 1 where X/8 stands for Jean's job and X/12 for Mark's.

X - total number of hours Jean and Mark can fill the pool

To add the two fractions, we need to have the same denominator which is 24.

The equation will be (3X + 2x) / 24 = 1, which will give us a simplified formula of 5X / 24 = 1.

To get X, we need to multiply 24 to both sides (5X/24 and 1) so that the equation will be 5X = 24. We only need to solve for X, so we will remove 5 from X by dividing it to 24, giving us the equation 5X/5 = 24/5.

The final answer will be X = 24/5 hours or 4.8 hours.

Therefore, the supervisor is incorrect since Jean and Mark can fill the pool in less than 10 hours.
4 0
3 years ago
If anyone can help with either one that’d be great
Volgvan

4.  Solve

1430 = 0.55t^2 + 550

1430 - 550 =880 = 0.55t^2

880/0.55 = 1600 = t^2

t= \pm \sqrt{1600} = \pm 40

On the positive answer makes sense.

Answer: Month 40

5. The throw ends when the height is zero (I guess we're ignoring rolling).

0 = -0.02x^2 + x + 6

x = \dfrac{-1 \pm \sqrt{1^2 - 4(6)(-0.02)}}{2(-0.02)}

Only the negative sign for the plus/minus will give a sensible, positive answer:

x = \dfrac{-1 - \sqrt{1^2 - 4(6)(-0.02)}}{2(-0.02)} = 55.4138

Answer: 55.4 feet

6 0
4 years ago
Can somebody explain Scatter Plots and Equations of Lines for me. I'm not quite understanding it
AlekseyPX

A scatter plot (aka scatter chart, scatter graph) uses dots to represent values for two different numeric variables. The position of each dot on the horizontal and vertical axis indicates values for an individual data point. Scatter plots are used to observe relationships between variables.

Equation Of Line means A straight line on the coordinate plane can be described by the equation. y = mx+b. where m is the slope of the line and b is the intercept.

4 0
3 years ago
Layla leans a 26-foot ladder against a wall so that it forms an angle of 61° with the ground. How high up the wall does the ladd
Vesna [10]

Answer:

75 shay

Step-by-step explanation:

5 0
2 years ago
(d) Sandy’s gross annual income is $51,350. She is paid biweekly and has 5% deducted from her paycheck for her 403(b). Her emplo
worty [1.4K]

Based on the annual income, the payment period, and the amount deducted for the 403(b), the amount deposited into Sandy's 403(b) is $220.

<h3>How much is deposited into Sandy's 403(b)?</h3>

First find the biweekly income:

= 51,350 / (52 weeks / 2 )

= 51,350 / 21 weeks

= $2,445.24

5% is deducted from her wages and the employer matches 4% of the salary. The amount deposited is:

= (5% + 4%) x 2,445.24

= $220

Find out more on 403(b) at brainly.com/question/2908111.

8 0
2 years ago
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