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3 years ago

Use the discriminant to determine the number and type of solutions for the following equation. 2x2 + 14x + 11 = 0

1 answer:

5 0

$\bf \qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ \stackrel{\stackrel{a}{\downarrow }}{2}x^2\stackrel{\stackrel{b}{\downarrow }}{+14}x\stackrel{\stackrel{c}{\downarrow }}{+11} ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{one solution}\\ \underline{positive}&two~\stackrel{rational}{solutions}\\ negative&\textit{no solution} \end{cases} \\\\\\ 14^2-4(2)(11)\implies 108\impliedby \underline{positive}$

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Dakota runs a half-marathon every 6 weeks, and madison runs a half-marathon every 15 weeks. if they start now, in how many weeks

LuckyWell [14K]

Dakota runs every 6 weeks......so he runs at 6 weeks, 12 weeks, 18 weeks, 24 weeks, 30 weeks

Madison runs every 15 weeks...so she runs at 15 weeks, 30 weeks, 45 weeks

so they will both be running a half-marathon at 30 weeks <==

6 0

3 years ago

Solve the system of equations using the linear combination method. {c+d=17c−d=3 Enter your answers in the boxes

Natalija [7]

Solving the system of equations, we get value of c= 10 and value of d= 7

Step-by-step explanation:

Solving the system of equations:

$c+d=17\\c-d=3$

Let:

$c+d=17\,\,\,eq(1)\\c-d=3\,\,\,eq(2)$

Adding eq(1) and eq(2)

$c+d=17\\c-d=3\\------\\2c+0d=20\\c=20/2\\c=10$

So, value of c = 10

Now putting value of c in equation 1 to find value of y

$c+d=17\\10+d=17\\d=17-10\\d=7$

So, value of d =7

Solving the system of equations, we get value of c= 10 and value of d= 7

Keywords: System of equations

Learn more about system of equations at:

#learnwithBrainly

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4 years ago

Use addition to solve the linear system of equations. Include all of your work in your final answer.

nadezda [96]

You just have to add one eqaution to another :
-x + x -y + 2y = 7 + 7
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Then apply y = 14 to one of the equations :
eg: x + 2(14) = 7
x + 28 = 7
x = - 21
The awnser is x= -21 y= 14
I hope i awnsered your question

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3 years ago

Expressions equivalent to6(y+1)

Amiraneli [1.4K]

Hello there!

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Use the distributive property

(6)(y) + (6)(1)

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Thus,

6y + 6 is the expression that is equivalent to 6(y + 1)

As always, it is my pleasure to help students like you.

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3 years ago

If you buy a pack of 100 apples for the cost of $5.99, how much did I Apple cost ?

AlexFokin [52]

Answer:

16.69 ≅ 16.7

Step-by-step explanation:

divide the total of apples by the total of price

100/5.99 =16.69

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3 years ago

﻿Use the discriminant to determine the number and type of solutions for the following equation. 2x2 + 14x + 11 = 0

Use the discriminant to determine the number and type of solutions for the following equation. 2x2 + 14x + 11 = 0