Please answer this asap. explanation would be appreciated. i don’t understand this

9514 1404 393

Answer:

  a < -5  or  11 < a

Step-by-step explanation:

For there to be two points of intersection, there must be 2 real solutions to ...

  ax +9 = -2x^2 +3x +1

Rewriting to standard form, we have ...

  2x^2 +(a -3)x +8 = 0

The discriminant of this equation is ...

  B^2 -4AC = (a -3)^2 -4(2)(8) = a^2 -6a -55

We want this to be greater than 0. Factoring, we get ...

  (a -11)(a +5) > 0

This will be true for values of a that are less than -5 or greater than 11.

__

The attached graph shows lines and their points of intersection for a=-6 and a=12. It is not hard to see that for slopes less steep than these values, the lines with a y-intercept of 9 may not intersect the parabola.

Answer:

Step-by-step explanation:

In one hour pump1 can fill 1/8 of the tank and pump2 can fill 1/10 of the tank.

Two pumps can fill:

Time required to fill the tank:

Answer:

1/36

Step-by-step explanation:

The only way of getting a total of 11 is rolling a 5 and a 6.

On each dice that is a 1/6 possibility

Multiply both possibilities to get 1/36.

Answer:

240

Step-by-step explanation:

We are given a right triangle. Based on the leg rule, the following equation shows how the length of a leg in a right triangle relates with the segments connected to the hypotenuse:

Hypotenuse/leg = leg/part

Where,

Hypo = 400

Leg = x

Part = 144

Substitute

400/x = x/144

Cross multiply

400*144 = x*x

57,600 = x²

√57,600 = x

240 = x

x = 240

Answer:

4.2724289e

+22

Step-by-step explanation:

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Answer:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Hi there!

[tex]\large\boxed{\frac{1}{5}, \frac{21}{5}}[/tex]

In order to set each equation equal to each other, we must have them both equal the same variable.

Rearrange the top equation to make it equal to y:

x - y = -4

Add 4 to both sides and add y to both sides:

x + 4 = y

Now, we can set both equations equal to each other:

x + 4 = 5(x + 1)² - 3

Begin solving by expanding the square binomial:

x + 4 = 5(x² + 2x + 1) - 3

Simplify:

x + 4 = 5x² + 10x + 5 - 3

x + 4 = 5x² + 10x + 2

Bring all terms to one side:

0 = 5x² + 9x - 2

Factor:

0 = (5x - 1)(x + 2)

Set the other factor equal to 0:

5x - 1 = 0

5x = 1

x = 1/5

Plug in this value of x into an original equation:

1/5 - y = -4

1/5 + 4 = y

1/5 + 20/5 = y

y = 21/5

Answer:

The answer is 21.43731

Answer:

1/4a -1/6b + 1/10c

Step-by-step explanation:

1/2 a  -1/3 b + 1/5c   + -1/4a + 1/6 b - 1/10c

Combine like terms

1/2a - 1/4a   -1/3b + 1/6b    +1/5c - 1/10 c

2/4a -1/4a    -2/6b + 1/6b   +2/10c -1/10c

1/4a -1/6b + 1/10c

Answer:

139/4

Step-by-step explanation:

and find that\[

\frac{4}{7}\cdot \frac{13}{13} = \frac{4\cdot 13}{91}=\frac{52}{91}, \text{and}

\]\[

\frac{8}{13}\cdot \frac{7}{7} = \frac{8\cdot 7}{91} = \frac{56}{91}.

\]Thus $\frac{8}{13}$ is larger than $\frac{4}{7}$, which tells us that $-\frac{8}{13}$ is smaller than $-\frac{4}{7}$. Thus, $x=-22$, $y=-\frac{8}{13}$, and\begin{align*}

\frac{x-y}{y}&=\frac{-22-\left(-\frac{8}{13}\right)}{-\frac{8}{13}}\\

&=\left(-22\cdot \frac{13}{13}+\left(\frac{8}{13}\right)\right)\cdot \left(-\frac{13}{8}\right)\\

&=\left(\frac{-286+8}{13}\right)\cdot \left(-\frac{13}{8}\right)\\

&=\left(-\frac{278}{13}\right)\cdot \left(-\frac{13}{8}\right)\\

&=\boxed{\frac{139}{4}}.

\end{align*}

Answer:

y = 10 , x= -3

Note: I have never hears this called "combination method"

if you research this on-line it is typically called the "elimination" or the  "addition" method.

Step-by-step explanation:

5x + y = 5

10x + 3y = 20

~~~~~~~~~~~~~~~~~~~~~

multiply top equation by -2

-10x + -2y = -10

10x + 3y = 20

y = 10

x= -3

Answer:

4 packages of hot dogs and 5 packages of hot dog buns.

Step-by-step explanation:

Find the least common multiple of 10 and 8, which is 40.

Answer:

3rd option, 44 units

Step-by-step explanation:

3x-1 = 2x+2

or, x = 3

so each side, 3×3-1 = 8

4y-2 = 2y+6

or, y = 4

so each side, 4×4-2 = 14

so perimeter

= 2(8+14)

= 44 units

Answered by GAUTHMATH

y = 3x ^ 2 + 6x- 12  

(a=3; b=6; c= -12)

• Ta có Δ=b^2 -4ac

             = 6^2 -4*3*( -12)

             =180

• X= (-b+√Δ)/2a

              ≈ 3.2

• X= (-b-√Δ)/2a

 ≈ -3.2

Khi đó: y= 948/25

       Và: y= -12/25

Vậy : A(3.2: 948/25)

       B(-3.2; -12/25)

Step-by-step explanat bion :

Answer:

-1,2 can be plotted together with these four points ...

Answer:

apoco la propiedad asociativa en los siguiente ejercicio 25x11x18=

Answer: $0.06 per inch

Concept:

When encountering questions that ask for unit price, follow the statements to get the answer. For example, this question asks the price per inch. Therefore, in the actual answer, use the total price given divided by the number of inches.

Solve:

Price = $6.48

Inch = 9 × 12 = 108 in

Price / Inch = 6.48 / 108 = $0.06 per inch

Hope this helps!! :)

Please let me know if you have any questions

Answer:

90°,60°&30°

Step-by-step explanation:

A 30-60-90 triangle is a right triangle with angle measures of 30º, 60º, and 90º (the right angle). Because the angles are always in that ratio, the sides are also always in the same ratio to each other.

Answer:

40

Step-by-step explanation:

200% x 20

200/100 x 20

(200 ÷ 100) x 20

200 x 20 ÷ 100

4,000 ÷ 100 = 40

Answer:

this is a combination problem... permutations would basically let you know

if you had to arrange all 50 applicants on tables for dinner , how many ways can they be seated...

in your case you have 50 items and you are CHOOSING 2 ...

you need the 50c2

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

5) logx+log(x+9)=2

log(x(x+9))=2, log(x^2+9x)=2

6) log(x^2+9x)=2

(x^2+9x)=36 or 6^2

Answer:

(-1,-6)

Step-by-step explanation:

(13 + x)/2 = 6

13+x= 12

x = -1

~~~~~~~~~~~~~~~

(-2 + y ) / 2 = -4

-2 + y = -8

y = -6

The coordinates of the other endpoint will be (-1,-6). The correct option is C.

Divide the measurement of the distance between the two end locations by 2. The middle of that line is located at this separation from either end.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

Given that the midpoint of a segment is (6,−4) and one endpoint is (13,−2).

The x- coordinate will be calculated as:-

(13 + x)/2 = 6

13+x= 12

x = -1

The y-coordinate will be calculated as:-

(-2 + y ) / 2 = -4

-2 + y = -8

y = -6

Therefore, the coordinates of the other endpoint will be (-1,-6). The correct option is C.

To know more about midpoints of the line follow

https://brainly.com/question/24431553

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Answer:

Take a look at this: https://brainly.com/question/14269575?referrer=searchResults

Step-by-step explanation:

Answer:

The third graph is precise

Step-by-step explanation:

-2 > n ≥ 4

n<-2 or n≥4 compound inequality is represented in the third graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given inequality is n<-2 or n≥4

The third number line represents the inequality  n<-2 or n≥4.

The open circle at -2 indicates that n is not included in the solution set, since the inequality is strict.

The closed circle at 4 indicates that n is included in the solution set, since the inequality is not strict.

Hence, n<-2 or n≥4 compound inequality is represented in the third graph.

To learn more on Graph click:

https://brainly.com/question/17267403

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Answer:

y = -28x²

Step-by-step explanation:

[tex]{ \bf{ {y} = 4a {x}^{2} }} \\ { \tt{y = - 28 {x}^{2} }}[/tex]

a^4+b^4=(a^2)^2+(b^2)^2

=(a^2+b^2)^2–2a^2b^2

=(a^2+b^2)^2—(√ 2ab)^2

=(a^2+√ 2ab+b^2)(a^2-√ 2ab+b^2)

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Answer:

C = [tex]\left[\begin{array}{ccc}-2&-4\\-1&1\\\end{array}\right][/tex]

Step-by-step explanation:

A = B+ C then

C = A - B

C = [tex]\left[\begin{array}{ccc}2&-5\\-1&4\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}4&-1\\0&3\\\end{array}\right][/tex] (subtract corresponding elements )

   = [tex]\left[\begin{array}{ccc}2-4&-5-(-1)\\-1-0&4-3\\\end{array}\right][/tex]

   = [tex]\left[\begin{array}{ccc}-2&-4\\-1&1\\\end{array}\right][/tex]

Answer:

[tex]y = 2x^2 + 1[/tex]

Step-by-step explanation:

The graph you see there is called a parabola. The general equation for the graph is as below

[tex]y = a*x^2 + b[/tex]

To find the equation we need to find the constants a and b. The constant b is just how much we're lifting the parabola by. Notice it's lifted by 1 on the y axis.

To find a it's a little more tricky. Let's use the graph to find a value for a by plugging in values we know. We know that b is 1 from the previous step, and we know that when x=1, y=3. Let's use that!

[tex]3 = a * (1)^2 + 1\\2 = a[/tex]

Awesome, we've found both values. And we can write the result.

[tex]y = 2x^2 + 1[/tex]

I'll include a plotted graph with our equation just so you can verify it is indeed the same.

Answer:

Choice C. 14 inches

Step-by-step explanation:

Middle between 12 and 16 inches.