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4 years ago

What is the solution to the system of equations graphed below?

Mathematics

1 answer:

pentagon [3]4 years ago

6 0

Answer:

A. (3,0)

Step-by-step explanation:

When the equations are graphed, the solution is where the two graphs cross. For the red line and the blue line, the cross at (3,0)

We can check this by substituting x=3 into both equations and seeing if we get y=0

y = -x+3

y = -3+3

y =0

y = x-3

y = 3-3

y=0

In both cases, we got y=0.

Therefore (3,0) is a solution to both equations and since it solves both equations, it solves the system.

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How to solve : 16=2t + 0.25 t``squar

Marysya12 [62]

Answer:

The solutions of the equation are t = 4(√5 + 1) or 4(√5 - 1).

Step-by-step explanation:

We have to solve the given quadratic equation of single variable t.

The equation is 16 = 2t + 0.25t²

⇒ 0.25t² + 2t - 16 = 0

⇒ 25t² + 200t - 1600 = 0 {Multiplying both sides with 100}

⇒ 25t² + 200t + 400 - 400 - 1600 = 0

⇒ (5t + 20)² - 2000 = 0

⇒ (5t + 20)² - (20√5)² = 0

⇒ (5t + 20 + 20√5)(5t + 20 - 20√5) = 0

So, (5t + 20 + 20√5) = 0 or, (5t + 20 - 20√5) = 0

⇒ (t + 4 + 4√5) = 0 or, (t + 4 - 4√5) = 0

⇒ t = - 4(1 + √5) or, t = 4(√5 - 1) (Answer)

8 0

3 years ago

Can someone help please

velikii [3]

Answer:

a) 140 weeks

b) 4 weeks

c) 140 miles

Step-by-step explanation:

1500=10w+100

1400=10w

w=140

10w+100=15w+80

5w=20

w=4

10(4)+100

140

8 0

3 years ago

What is b. If the number as a fraction is 56/90.

MA_775_DIABLO [31]

The answer is: " 28 " .
___________________________________________________
" Twenty-eight (28) students said they would vote for Brianna."
___________________________________________________
Explanation:
___________________________________________________
We are given, in the problem, that there are "45 students total" .
___________________________________________________
The fraction: $\frac{56}{90} ;$

can be reduced as follows:

$\frac{56}{90} = (56÷2) / (90÷2) = [tex] \frac{28}{45}$ .
___________________________________________________
Thus, "28 students out of 45 students voted for Brianna" .
___________________________________________________
The answer is: "28 students" .
___________________________________________________
Hope this helps!
___________________________________________________

4 0

3 years ago

A researcher wishes to estimate with 95% confidence, the proportion of the people who own a home computer. A previous study show

vitfil [10]

Answer:

The minimum sample size necessary is 2305.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.