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never [62]
2 years ago
7

Can someone help me with this? its solving systems by substitution

Mathematics
1 answer:
yKpoI14uk [10]2 years ago
8 0
Answer: x = 1 and y = 2

Given:
y = -3x + 5
5x - 4y = -3

Since we are given y, let’s sub it in the second equation.

5x - 4(-3x + 5) = -3
5x + 12x - 20 = -3
17x = 17
x = 1

After finding x, we can now find y.

5(1) - 4y = -3
-4y = -8
y = 2

Checking:

y = -3x + 5
2 = -3(1) + 5
2 = 2


5x - 4y = -3
5(1) - 4(2) = -3
-3 = -3
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Use the three conditions to show that function f(x)=2x^2 +3x - 1 is continuous at x=0.​
koban [17]

Answer:

f(x)  = 2x^2 +3x - 1

f'(x) = 4x + 3

f''(x) = 4

f(0) = 2(0)^2 + 3(0) - 1 = -1 (valid)

f'(0) = 4(0) + 3 = 3 (valid)

f''(0) = 4 (valid)

=> f(x) is continous at x = 0

4 0
3 years ago
Matthew threw 55 pitches in a baseball game. Of those pitches, 4/5 were strikes.
viktelen [127]
That would be 55 * 4 / 5 = 220 / 5  =  44 pitches
4 0
3 years ago
There are 27 red or blue marbles in a bag. The number of red marbles is five less than three times the number of blue marbles. H
sveticcg [70]

The number of red marbles in the bag is 19 and the number of blue marbles is 8.

<u>Explanation:</u>

Let R be the number of red marbles

Let B be the number of blue marbles

According to the question,

R + B = 27 (Total number of marbles is 27 )                 -1

R = 3B - 5 (Number of red marbles is 5 less than 3 times the number of blue marbles )

Substitute the right half of the second equation for R in the first equation

3B - 5 + B = 27

Add 5 to each side and combine the Bs

4B = 32

Divide both sides by 4

B = 8

Use this value of B in the first equation

R + 8 = 27

R = 19

Therefore, number of red marbles in the bag is 19 and the number of blue marbles is 8.

7 0
3 years ago
The lengths of text messages are normally distributed with a population standard deviation of 4 characters and an unknown popula
umka21 [38]

Answer:

The answer is "(25.32, 30.68)"

Step-by-step explanation:

Given:

\bar x = 28\\\\ \sigma = 4\\\\n =26\\\\

When 98\% confidence level so, the z:

\alpha = 1 - 98\% = 1 - 0.98 = 0.2\\\\\frac{\alpha}{2} =\frac{0.02}{2} = 0.01\\\\Z_{\frac{\alpha}{2}} = Z_{0.01} = 1.645\ \ \  ( Using \ z \ table )\\\\

E = Z_{\frac{\alpha}{2} \times ( \frac{\sigma}{\sqrt{n}})  

= 1.645 \times (\frac{4}{\sqrt{26}})\\\\=2.68

When  98% confidence interval estimate of the population mean  is,

\bar x - E < \mu < \bar x + E\\\\28 - 2.68 <  \mu < 28 + 2.68\\\\25.32 <  \mu < 30.68\\\\(25.32,  30.68)\\\\

7 0
3 years ago
—5(-x+1)-3-1=-12<br> Help
Kobotan [32]

Answer:

5x-5-3-1=-12

5x-9=-12

5x=-12+9

5x=-3

x=-3/5

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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