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4 years ago

Evaluate 7- 5p + 3q when p=1 and a=7

Mathematics

2 answers:

irina1246 [14]4 years ago

8 0

Answer:

Step-by-step explanation:

Nonamiya [84]4 years ago

5 0

Answer:

7 - (5x1) + (3x7)

7 - 5 + 21

7 - 5 = 2

2 + 21 = 23

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Please help me with math!!

Elina [12.6K]

Answer: $y = -\frac{8}{9} (x-15)^2+200$

Step-by-step explanation:

To answer this, we have to use quadratic equations.

We can represent this by using information given to us.

Knowing that a parabola peaks at its vertex, and the flare goes from its launch site (x = 0) and hits the ground 30m from the launch site (x = 30), we know that the flare peaks 15 meters away horizontally from the launch point.

We also know that the y-intercept is 0, because it is fired from the ground.

Knowing that the vertex for the parabola is (15, 200) and the y-intercept is (0, 0), we can model an equation.

Vertex form is:

$y = a(x-h)^{2} + k$ , where (h, k) is the vertex.

$y = a(x-15)^2+200$

We can plug the y-intercept, (0, 0), into this equation to find a:

$0 = a(-15)^2 + 200\\0 = 225a+200\\a = -\frac{8}{9}$

7 0

4 years ago

Use the original price and the markup to find the retail price $36 markup is 10%

zubka84 [21]

The answer would be 32.40$ given that 10% off is a total of 3.60$

5 0

2 years ago

Read 2 more answers

A grocery store sells a 6 pack of bottled water for $3.79 and a 9 pack for $4.50 and a 12 pack for $6.89.which package costs the

Harrizon [31]

The package cost the least per bottle is the 9-pack for $4.50

because the 6 pack for $3.79 cost $0.63 each bottle.

sol'n. 3.79÷6=0.63

while 9 pack for $4.50 cost only $0.50 each bottle.

sol'n. 4.50÷9=0.50 or .5

and the last one is the 12 pack for $6.89 cost $0.57 each bottle.

sol'n. 6.89÷12=0.57

6 0

4 years ago

Read 2 more answers

PLEASE HELP ME WITH THIS PROBLEM!!!

Elanso [62]

Due to gravity, as the food flies across to room, it follows the path of a

parabola.

Harold is approximately 4.018 feet tall

Reasons:

The path followed by the food (the projectile) is a parabola

The vertex form of the equation of a projectile is; y = a·(x - h)² + k

Where;

(h, k) = The vertex

The horizontal coordinates of the vertex = Half the range

Therefore;

For Jamal, (h, k) = (11, 8)

At x = 0, y = 0, therefore;

0 = a·(0 - 11)² + 8

-121·a = 8

$\displaystyle a = \mathbf{-\frac{8}{121}}$

Which gives;

$\displaystyle The \ path \ of \ Jamal's \ food \ is, \ y = \mathbf{-\frac{8}{121} \cdot (x - 11)^2 + 8}$

For Dinah, we have;

y = a·(x - h)² + k

(h, k) = (13, 5)

At x = 0, y = 0, therefore;

0 = a·(0 - 13)² + 5

-169·a = 5

$\displaystyle a = -\frac{5}{169}$

Which gives;

$\displaystyle The \ path \ of \ Dinah's \ food \ is, \ y = \mathbf{ -\frac{5}{169} \cdot (x - 13)^2 + 5}$

At Harold's height, we have that the elevation of both food projectile are equal, therefore;

Height of Jamal's food projectile = Height of Dinah's food projectile

Which gives;

$\displaystyle -\frac{8}{121} \cdot (x - 11)^2 + 8 = \mathbf{-\frac{5}{169} \cdot (x - 13)^2 + 5}$

$\displaystyle \frac{8}{121} \cdot (x - 11)^2-\frac{5}{169} \cdot (x - 13)^2 + 5 - 8 = 0$

$\displaystyle \frac{747}{20449} \cdot x^2 - \frac{98}{143} \cdot x -\frac{1}{99009900990} = 0$

$\displaystyle \frac{747}{20449} \cdot x^2 \approx \frac{98}{143} \cdot x$

$\displaystyle \frac{747}{20449} \cdot x \approx \frac{98}{143}$

$\displaystyle x \approx \frac{98}{143} \times \frac{20449}{747} \approx 18.76$

x ≈ 18.76

Therefore, at Harold's height, the horizontal distance from where the food flies, x ≈ 18.76 feet.

Therefore, Harold's height is given by plugging in x ≈ 18.76 feet in either of the projectile motion as follows;

$\displaystyle Harold's \ height \ h \approx -\frac{8}{121} \cdot (18.76 - 11)^2 + 8 \approx \mathbf{4.018}$

Harold height is approximately 4.018 feet.

Learn more about projectile motion here:

brainly.com/question/11049671

6 0

3 years ago

2 more than the product of -4 and a number x is less than 20 ?

Irina-Kira [14]

Answer:

Step-by-step explanation:

Product of -4 and a number x is -4 * x = - 4x

-4x + 2 < 20

6 0

3 years ago

Read 2 more answers