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3 years ago

Help please and thanks

Mathematics

1 answer:

elena-s [515]3 years ago

6 0

Answer:

x = 7

Step-by-step explanation:

Because the points are collinear:

AB + BC = AC

We'll plug in the expressions in terms of x.

(-1 + 2x) + (11) = (3x + 3)

And solve for x. Combine like terms on the left

2x + 10 = 3x + 3

Subtract 3 on both sides

2x + 7 = 3x

Subtract 2x on both sides

7 = x

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Which tables shows a proportional relationship between X and Y.

Alexxandr [17]

Answer:

the secound option :)

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3 years ago

These two matrices are unable to be added due to dimensional mismatch? True, false, both, unable to answer with the info given

Hoochie [10]

Answer:

false

Step-by-step explanation:

$\left[\begin{array}{c}-4\end{array}\right] +\left[\begin{array}{c}7\end{array}\right] =\left[\begin{array}{c}3\end{array}\right]$

Both of the matrices are 1 x 1 ("one by one"), so they can be added to produce a 1 x 1 matrix.

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3 years ago

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th

Mashutka [201]

Here is the full question

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.

Equation:

y=-16x^2+153x+98

Answer:

10.2 seconds

Step-by-step explanation:

Given equation :

$y=-16x^2+153x+98$ shown the expression of a quadratic equation

Let y =0

∴

0 = $-16x^2+153x+98$

where;

$a=-16\\b=153\\c=98$

Using the quadratic formula:

$x=\frac{-b\±\sqrt{b^2-4ac}}{2a}$

replacing it with our values; we have:

$x=\frac{-153\±\sqrt{153^2-4(-16)(98)}}{2(-16)}$

$x=\frac{-153\ + \sqrt{153^2-4(-16)(98)}}{2(-16)}$ OR $x=\frac{-153\ - \sqrt{153^2-4(-16)(98)}}{2(-16)}$

$x_1=10.17$ OR $x_2=-0.60$

Hence, we go by the positive value since, is the time that the rocket will hit the ground.

x= 10.17

x = ≅ 10.2 seconds

Therefore, the rocket will hit the ground, to the nearest 100th of second. = 10.2 seconds

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4 years ago

A colony of bees have produced about 4 oz of honey. Some time later they have about 7oz of honey. If the bees produce at a rate

yanalaym [24]

It took 50 hours to produce 3 oz of honey.

Step-by-step explanation:

Rate of production= 1.5% per hour

Initial amount of honey = 4 oz

Final amount of honey = 7 oz

Honey produced = 3 oz

Amount produced = (initial amount x rate x time) /100

3 = (4 x 1.5 x t) /100

300 = 6t

t = 300/6

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It took 50 hours for the bees to produce 3 oz of honey.

5 0

3 years ago

Quick algebra 1 question for 10 points!

Katarina [22]

Answer:

○ $3x + 4y = 7$

Step-by-step explanation:

The general form of the equation of a straight line is as follows:

$\boxed{y = mx + c}$ ,

where:

m = slope

c = y-intercept.

This means that m, which is the coefficient of $x$ , needs to be $-\frac{3}{4}$ .

Therefore we have to rearrange each equation given to make y the subject, and then check if the coefficient of $x$ becomes $-\frac{3}{4}$ .

• First option:

$4x - 3y = 7$

⇒ $-3y = -4x + 7$

⇒ $y = \frac{4}{3}x -{ \frac{7}{3}$

∴ 'm' is $\bf \frac{4}{3}$ , not $-\frac{3}{4}$ , therefore this option is incorrect.

• Second option:

$4x + 3y = 7$

⇒ $3y = -4x + 7$

⇒ $y = -\frac{4}{3}x + \frac{7}{3}$

∴ 'm' is $\bf -\frac{4}{3}$ , not $-\frac{3}{4}$ , therefore this option is incorrect.

• Third option:

$3x + 4y = 7$

⇒ $4y = -3x + 7$

⇒ $y = -\frac{3}{4}x + \frac{7}{3}$

'm' is $\bf -\frac{3}{4}$ , therefore this option is correct.

Note:

You can rearrange the equation given in the last option, and see that 'm' comes out to be $\frac{3}{4}$ , thereby making it incorrect.

7 0

2 years ago

Read 2 more answers