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2 years ago

It cost Allison $5.80 to send 58 text messages. How much would it cost to send 40 text messages?

Mathematics

1 answer:

Vitek1552 [10]2 years ago

3 0

Answer:

Step-by-step explanation:
The ratio between the $5.80 spent for 58 text messages is $0.10. This means that each text message sent is $0.10. So you just multiply $0.10 and 40 text messages to find that it costs $4 to send 40 messages.

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Evaluate the discriminant of each equation. Tell how many solutions each equation has and whether the solutions are real or imag

Elena L [17]

All these equations are in the form of ax^2 + bx + c = 0, where a, b, and c are some numbers. the discriminants of equations like this are equal to b^2 - 4ac. if the discriminant is negative, there are two imaginary solutions. if the discriminant is positive, there are two real solutions. if the discriminant is 0, there is one real solution.

x^2 + 4x + 5 = 0
b^2 - 4ac
4^2 - 4(1)(5)
16-20
-4, two imaginary solutions.

x^2 - 4x - 5 = 0
b^2 - 4ac
(-4)^2 - 4(1)(-5)
16 + 20
36, two real solutions.

4x^2 + 20x + 25 = 0
b^2 - 4ac
20^2 - 4(4)(25)
400 - 400
0, one real solution.

6 0

3 years ago

Find the vertex of this parabola y=-2x^2+4x-10

Natalija [7]

(1,-8) is the correct answer

3 0

3 years ago

A triangle is drawn on a coordinate plane. Point A is at (2,6), Point B is at (4,10), and Point C is at (8,5). What is the midpo

Leno4ka [110]

Answer: The midpoint of AB should be (3,8)

Explanation: Try drawing the triangle using the information given and find the midpoint of AB then measure it

The pic is not drawn to scale but just to get an idea

7 0

3 years ago

One angle of an isosceles triangle measures 50°. Which other angles could be in that isosceles triangle?

AVprozaik [17]

In an isosceles triangle two angles will be equal
So, if 50 is one of the equal angles then the angles will be (50,50,80)
Otherwise if 50 is the non-equal angle then the angles will be (50,65,65)

8 0

3 years ago

can anyone help me with these? I'm having a lot of trouble and I'm extremely behind... I need to catch up badly!!! i have been a

TiliK225 [7]

Answer:

Step-by-step explanation:

5 and 6 are the same, so I will do one of those and you can use the example to do the other one.

Slope-intercept form is y = mx + b. If we have 2 points and nothing else, we can use those 2 points in the slope formula to find the slope (the m value in the equation) and then plug that in with either one of the points to get the equation. The slope formula is:

$m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }$

Using our points in question 5: (2, 4) (5, 4)

$m=\frac{4-4}{5-2} =\frac{0}{3}=0$ So m = 0. Now pick a point and use it in the equation along with the m value to solve for b. I will use (2, 4):

4 = 0(2)+b and

4 = 0 + b so

b = 4.

Now we have m = 0 and b = 4 so we fill in the equation with that info:

y = 0x + 4 or simplifying,

y = 4

For question 7 they want the line parallel to y = 3x + 6 that goes through (-10, 2.5). For a line to be parallel to another line, their slopes have to be identical. The slope in y = 3x + 6 is 3. So the slope of the "new" line is going to be 3 as well. Now we will use that slope and the given point to solve for b, just like in #5:

2.5 = 3(-10) + b and

2.5 = -30 + b so

b = 32.5

Now we will fill in:

y = 3x + 32.5

For question 8 they want the line perpendicular to y = -4x - 2 that goes through (-16, -11). For a line to be perpendicular to another line, their slopes have to be opposite reciprocals. Opposite meaning the sign is opposite (positive becomes negative and negative becomes positive), and reciprocal meaning the fraction is flipped upside down. The slope in our line is -4. That means that the perpendicular slope is positive 1/4. Using that along with our point, we will again solve for b:

$-11=\frac{1}{4}(-16)+b$ which simplifies to

-11 = -4 + b so

b = -7

Now we fill in:

$y=\frac{1}{4}x-7$

For question 8, in order to find the line parallel to the given line, you need to know the slope. In the form it is currently in, we do not know the slope. We need to put it into slope-intercept form to find the slope, then we will proceeed as above. If

x + 4y = 6, then

4y = -x + 6 and, dividing by 4,

$y=-\frac{1}{4}x+\frac{3}{2}$