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3 years ago

7

Explain why the graph of

k+1" alt="y=2x^{2} +4x-k+1" align="absmiddle" class="latex-formula"> has no x-intercepts when k=-5

1 answer:

Oksana_A [137]3 years ago

3 0

Since the equation then turns into y=2x^2+4x+5+1, the +5+1 moves the vertex higher up on the y axis, meaning there would be no x-intercepts

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Help on number six seven eight nine 10 11 12 13 14 15

shepuryov [24]

Easiest ways to solve them are to take the denominator and numerator and and divide the one you are asked to use to answer and divide and see if it works on both.
Example: first 105 / 15 = 7 ) Then: 105 / 7 = 15
119 ) 119 / 7 = 17

Hope I helped. :D

8 0

2 years ago

Read 2 more answers

X+3<8 and 3(x+4)-11<10

kondaur [170]

Answer:

<h3>X<5 and X<3</h3>

Step-by-step explanation:

To solve this problem, first, you have to isolate it on one side of the equation. Remember to solve this problem, isolate x on one side of the equation.

x+3<8 and 3(x+4)-11<10

x+3<8

x+3-3<8-3 (First, subtract 3 from both sides.)

8-3 (Solve.)

8-3=5

x<5

3(x+4)-11<10

3(x+4)-11+11<10+11 (Add 11 from both sides.)

10+11 (Solve.)

10+11=21

3(x+4)<21

3(x+4)/3<21/3 (Next, divide by 3 from both sides.)

21/3 (Solve.)

21/3=7

x+4<7

x+4-4<7-4 (Then, subtract 4 from both sides.)

7-4=3

x<3

The correct answer is x<5 and x<3.

4 0

3 years ago

At the Middleton School festival, a tent covers a rectangular space 30 1/2 yards long and 9 1/3 yards wide. What is the area, in

lisov135 [29]

<em><u> $\huge\fbox\red{ᴀ}\huge\fbox\orange{ⁿ} \huge\fbox\pink{s}\huge\fbox\green{ʷ} \huge\fbox\blue{ᴇ}\huge\fbox\purple{ʳ}\$ </u></em>

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<em><u>To </u></em><em><u>find</u></em><em><u>:</u></em>

<em><u>The </u></em><em><u>area </u></em><em><u>covered</u></em><em><u> </u></em><em><u>by </u></em><em><u>the </u></em><em><u>tent.</u></em>

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<em><u>Hope </u></em><em><u>it</u></em><em><u> </u></em><em><u>helps</u></em>

<em><u>~ʆᵒŕ∂ཇꜱꜹⱽẻⱮë</u></em>

4 0

2 years ago

Read 2 more answers

If an article is sold for Rs 450 after allowing a discount of 10%, find the list price of the article. please solve it by financ

xeze [42]

Discount %= 10%
Discount= x × 10%= x/10
Price after discount =x-(x/10)= 9x/10
But, given price after discount = rs 450
9x/10=450
9x=4500
x=4500/9= rs 500

6 0

2 years ago

Write the quadratic equation whose roots are -2 and 3, and whose leading coefficient is 3

KIM [24]

Now, if the roots are -2 and 3, that simply means $\bf \begin{cases}
x=-2\implies &x+2=0\\
x=3\implies &x-3=0
\end{cases}$

now, as far as the leading term's coefficient having a 3, we can simply make it a "common factor" of both terms.

$\bf \begin{cases}
x=-2\implies &x+2=0\\
x=3\implies &x-3=0
\end{cases}\implies (x+2)(x-3)=0
\\\\\\
\stackrel{\textit{common factor}}{3}(x+2)(x-3)=\textit{original polynomial}
\\\\\\
3(x^2-x-6)=y\implies 3x^2-3x-18=y$

5 0

3 years ago