What's the number in between numbers -10 and 70?

Answer:

Step-by-step explanation:

Given equation is,

x² + (p + 1)x = 5 - 2p

x² + (p + 1)x - (5 - 2p) = 0

x² + (p + 1)x + (2p - 5) = 0

Properties for the roots of a quadratic equation,

1). Quadratic equation will have two real roots, discriminant will be greater than zero. [(b² - 4ac) > 0]

2). If the equation has exactly one root, discriminant will be zero [(b² - 4ac) = 0]

3). If equation has imaginary roots, discriminant will be less than zero [(b² - 4ac) < 0].

Discriminant of the given equation = [tex](p+1)^2-4(1)(2p-5)[/tex]

For real roots,

[tex](p+1)^2-4(1)(2p-5)>0[/tex]

p² + 2p + 1 - 8p + 20 > 0

p² - 6p + 21 > 0

For all real values of 'p', given equation will be greater than zero.

Answer:

100 inches

Step-by-step explanation:

15/6=2.5

40*2.5=100 inches

Answer:

3 cups flour

Step-by-step explanation:

set up a proportion and cross-multiply:

1/4 = 1/2

3/2      f

1/4f = 3/4

4f = 12

f = 3

Answer:

3 cups

Step-by-step explanation

basically if 1/4 cup of milk is for 1 1/2 cups of flour ------ 1/2 cup is twice the amount that a quarter cup is because a 1/4 cup + a 1/4 cup = 1/2 cup so you double the amount of flour too and 1 1/2 + 1 1/2 is 3 cups of flour.

1/4 + 1/4 = 1/2 (milk)

1 1/2 + 1/12 = 3 (flour)

Answer:

Step-by-step explanation:

y-3 = 6(x-9)

Answer:

$8 for 3 pounds

cost for p pounds: 3.50p - 2.50

Step-by-step explanation:

Cost of 3 pounds:

Original cost = Cost per pound x 3

= 3.50 x 3

= 10.50

Coupon = 2.50

Final cost = Original cost - Coupon

= 10.50 - 2.50

= $8

Cost of p pounds:

Original cost = Cost per pound x p

= 3.50 x p

= 3.50p

Coupon = 2.50

Final Cost = Original Cost - Coupon

= 3.50p - 2.50

Answer:

2(9r) and 18r are equivalent

Answer:

Answer:

First Blank: $625

Second Blank: 20

Third Blanks: ( 0, 20 )

Step-by-step explanation:

I got you fam.

Answer: The maximum profit the florist will earn from selling is $675

The florist will break even after 20 one dollar decreases

The interval of the number of one dollar decreases for which the florist makes a profit from celebration bouquets is (0,20)

Step-by-step explanation: We found out the first answer by seeing where the highest point it hit y was, and the second by looking how many points it took to drop down to 0, then found those points for the third answer.

Answer:

A translation moves every point of a figure or a space by the same amount in a given direction. The reflection of a red shape against an axis followed by a reflection of the resulting green shape against a second axis parallel to the first one results in a total motion which is a translation of the red shape to the position of the blue shape.

Answer:

C. 11/4

Step-by-step explanation:

We can make 2 into fourths: in one whole there are 4 fourths so in two wholes there are 8 fourths.

Then add the 3/4 to the 8/4 and we get 11/4.

C. 11/4

Answer:

Therefore four rational numbers between 1 and 2 are 9/8, 5/4, 3/2, and 7/4 Step-by-step explanation:

Step-by-step explanation:

we we have to find four rational number between 1/2 and 6/7.

So, firstly we find LCM ...for make same numerator

= 1×7/2×7 and 6×2/7×2

=7/14 and 12/14

Now,

We can check that.....8/14,9/14,10/14and 11/14 are four rational numbers between 1/2 and 6/7 .

Answer:

102.4

Step-by-step explanation:

hope that helps beautiful ;-)

Answer:

The vertex is -5/2 and -9/2

Step-by-step explanation:

I looked it up on math

way

A parabola is a mirror-symmetrical planar curve that is nearly U-shaped. The vertex of the parabola y = 2x² + 10x + 8 is (-2.5, -4.5).

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

Then its roots are given as:

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

A parabola is a mirror-symmetrical planar curve that is nearly U-shaped.

y = a(x-h)² + k

where,

(h, k) are the coordinates of the vertex of the parabola in the form (x, y);

a defines how narrower the parabola is, and the "-" or "+" that the parabola will open up or down.

The general form of a parabola is written in the form ax²+bx+c, which is a quadratic equation. While the vertex form of the parabola is written as y=a(x-h)² + k.

Given that the equation of the parabola is y = 2x² + 10x + 8. Now if we compare the general equation of the parabola with ax²+bx+c, the value of a, b, and c will be 2, 10, and 8, respectively.

Further, the vertex of the parabola can be written as,

h =−b/2a

h = -10 / 2(2)

h = -10/4

h = -2.5

k = -(b² - 4ac) / 4a

k = -[10² - 4(2)(8)] / 4(2)

k = (100 - 64) / 8

k = -36/8

k = -4.5

Hence, the vertex of the parabola y = 2x² + 10x + 8 is (-2.5, -4.5).

Learn more about Quadratic Equations:

https://brainly.com/question/2263981

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Answer:

Step-by-step explanation:

55*4^(33/11) = 55*4^3 = 55*64 = 3520

Answer:

81 is your answer :)

Step-by-step explanation:

b x h = a

9 x 9 =  81

Answer:

Step-by-step explanation:

By the Pythagorean Theorem

[tex]c^2=a^2+b^2\\ \\ c^2=60^2+32^2\\ \\ c^2=4624\\ \\ x=\sqrt{4624}\\ \\ x=68[/tex]

Step-by-step explanation:

Please refer to the attachment

Answer:

with a stick

Step-by-step explanation:

Answer:

i have no clue

Step-by-step explanation: sorry

Answer:

A). 15

B). -1.2

Step-by-step explanation:

A). [10(x+3)]-20 = 160

10x+30-20 = 160

10x+10 = 160

10x = 160-10

10x = 150

x = 150/10

x = 15

B). 5{[4(8+(5x))]-9} = 85

5(32+20x+9) = 85

5(32+9+20x) = 85

5(41+20x) = 85

205+100x = 85

100x = 85-205

100x = -120

100x/100 = -120/100

x = -1.2

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HOPE THIS HELPS!!!

Answer: 166.4/249.6/416

Step-by-step explanation:

Answer: Altitude

Step-by-step explanation:

It's an altitude because it creates a 90° angle (perpendicular to the base)

Answer:

(-2,3)

Explanation:

x-coordinate: -2

y-coordinate: 3

Answer:

A. the first quartile represents the median of the lower half of the data set

B. the third quartile represents the median of the upper half of the data set

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Because the common multiple of 6 and 8 is 24 which is the amount of pencils.

1/8 x 3 equals 24 (3 because 3 times 8 gives 24)

1/6 x 4 equals 24 (4 because 4 times 6 gives 24)

Answer:

1.5 Feet

Step-by-step explanation:

15 x .1 = 1.5

Answer:

200

Step-by-step explanation:

2000 because 8 is big so you are able to round it to become 2 in the 1000

Answer:

+7=36

Step-by-step explanation:

Answer:56

Step-by-step explanation:

A radical expression is an expression containing a square root. Radicand - A number or expression inside the radical symbol. ... Radical inequality an inequality containing a radical expression with the variable in the radicand.

Step-by-step explanation:

Hope this helps!