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faltersainse [42]
3 years ago
13

Please help me I don’t understand this

Mathematics
1 answer:
Lyrx [107]3 years ago
6 0
When you're given a point and the slope of a line, it is often easiest to write its equation in point-slope form.

This is y-y_1=m(x-x_1), where (x_1,y_1) is the ordered pair for the point you are given and m is the slope.

Here, you would write y-8=-3(x-7). Then, you simplify to get to slope-intercept form, which is y = mx+b, where b is the y-intercept.

y-8=-3(x-7) \\ y=-3x+29

The correct answer is A.
You might be interested in
For the equation 21+3x=3x+k, which value of K will create a false equation with no solution
Nitella [24]

Answer:

OPTION B: K = 15

Step-by-step explanation:

The given equation is: 21 + 3x = 3x + K

Substitute K = 3x

we get: 21 = 3x + 3x + 3x

⇒ 21 + 3x = 6x

⇒ 21 = 3x

This gives the value of x = 7. That means K = 3x gives us a solution. So, OPTION A is eliminated.

Now, K = 15

The equation becomes 21 + 3x = 3x + 15

Subtracting 3x on both the sides, we get:

⇒ 21 + 3x - 3x = 15 + 3x - 3x

⇒ 21 = 15 which can not be correct. So, K = 15 renders the equation meaningless and hence with no solution.

So, OPTION B is the answer.

Note that K = 21 will give the equation with infinitely many solutions.

8 0
3 years ago
Coach Shaw is buying baseball equipment for his team. He gets a reduced rate if he buys 8 baseballs for every 3 batting helmets.
Natalija [7]

Answer:

Helmets-12

Baseballs-32

Step-by-step explanation:

Given the tax rate as 6% and the reduced prices as $2.25/baseball and $22.50/helmet and that the budget is $400:

The new prices are reduced price plus tax:

Baseball \ Price =2.25\times (1.06\%)=2.39\\\\Helmet \ Price= 22.50\times (1.06\%)=23.85

Let x be the number of groups of 8 baseballs as well as the number of groups of 3 helmets,therefore:

8x(2.39)+3x(23.85)=400\\\\19.12x+71.55x=400\\\\x=4.4116\\\\x\approx 4

Substitute for x=4 to find the highest number of baseballs and helmets:

Helmets=4x3=12

Baseball=4x8=32

#Price cost will be 12x23.85+32x2.39=362.68 (balance=37.32)

Hence, Shaw can buy 12 helmets and 32 baseballs and still remain with $37.32

3 0
3 years ago
Jolene works for a company that does not offer retirement matching. For the last 16 years, Jolene has been depositing $150 into
ki77a [65]

Answer:

$2,543.84 is your answer.

Step-by-step explanation:

What you do first is you have to figure out the 5.99% interest rate.

150 x 5.99 = 8.99

150 + 8.99 = $158.99

Now multiply that by 16

158.99 x 16 = $2,543.84 is your answer.

4 0
4 years ago
7x-3y=2 5x+4y=-17 <br> i dont know how to solve this
Verdich [7]
(-1,-3)

Graph the equation and locate the intersection.
6 0
3 years ago
What is the missing number in this pattern
Delvig [45]

The missing number is 29

8 0
3 years ago
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