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3 years ago

Using the graph, determine the coordinates of the roots of the parabola.

Mathematics

1 answer:

Liula [17]3 years ago

4 0

Answer:

(7, 0) and (3,0)

Step-by-step explanation:

On the graph, the parabola crosses the x-axis at two points. The two points are called the roots. And since they cross at (7, 0) and (3, 0), they are our roots. Hope this helps!

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Two tanks hold a total of 55 gallons of a toxic solvent. One tank holds 4 gallons more than twice the amount in the other. How m

Serhud [2]

Step-by-step explanation:

If x is the volume of the first tank, and y is the volume of the second tank, then:

x + y = 55

x = 2y + 4

Solve the system of equations using either substitution or elimination. Using substitution:

2y + 4 + y = 55

3y + 4 = 55

3y = 51

y = 17

Solve for x using either equation.

x + 17 = 55

x = 38

The first tank holds 38 gallons, and the second tank holds 17 gallons.

8 0

3 years ago

Read 2 more answers

Vincent borrowed $500 from Mitchell for six months. How much interest will Mitchell earn if he charges Vincent a simple interest

tresset_1 [31]

Principal P = $500, Rate = 3 % = 3/100 = 0.03 would assume per year,
Time t = 6 months = (6/12) year = 0.5 year.

Simple Interest, I = P*r*t

= 500*0.03*0.5 = 7.5

And so therefore your answer is 7.5

4 0

4 years ago

Chan wants to buy a used car that costs $8,500. He took out a loan for the cost of the car, and his payments are $209 per month

Leto [7]

Multiply 209 by 12 to find one year which is 2508
Multiply 2508 by 4 to find 4 years which is 10032
Subtract 8500 from 10032 which is 1532
So he paid 1532 more than the cars original price
I hope thats understandable!

3 0

3 years ago

Read 2 more answers

I'm confused on how to find x

azamat

Answer:

x = 2

Step-by-step explanation:

Since this is a 45-45-90 triangle, the 2 legs will be the same, meaning that y will also be $\sqrt2$ .

We can then solve for x using the Pythagorean theorem:

$\sqrt2^2+\sqrt2^2=x^2\\2+2=x^2\\4=x^2\\x=2$

Or, we could use a quicker approach: if the triangle is a 45-45-90 triangle, the hypotenuse will be $\sqrt2$ times the length of 1 leg. It essentially does the same thing; it's just faster so you could save time on tests.

7 0

3 years ago

The image of the point (4. 9) under a translation is (9. 13). Find the coordinates

gavmur [86]

Answer:

<em>The coordinates of the image are (10,6)</em>

Step-by-step explanation:

<u>Translation</u>

A point located at (x,y), translated by (a,b) maps to the point (x+a,y+b).

If we know the location of the point (x,y) and the location of its image (x',y'), we can know the values of (a,b) by subtracting:

(a,b) = (x',y') - (x,y)

We know the coordinates of the point (4,9) and the coordinates of its image (9,13). Calculate the translation:

(a,b) = (9,13) - (4,9) = (5,4)

If the point (5,2) is translated under the same conditions, then it will map to the point (5,2) + (5,4) = (10,6).

The coordinates of the image are (10,6)

6 0

3 years ago