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ira [324]
3 years ago
6

4d + 7e = 68 -4 - 6e = -72

Mathematics
1 answer:
Tanzania [10]3 years ago
8 0

Answer:

Step-by-step explanation:

4d + 7e = 68

-4d - 6e = -72

e = -4

4d  + 7(-4) = 68

4d - 28 = 68

4d = 96

d = 24

(24, -4)

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Solve the system.<br> 2x + y = −3 −2y = 6 + 4x<br> Write each equation in slope-intercept form.
Fantom [35]

The slope-intercept form:

y = mx + b

m - slope

b - y-intercept

-------------------------------------

2x + y = -3       <em>subtract 2x from both sides</em>

y = -2x - 3


-2y = 6 + 4x

-2y = 4x + 6     <em>divide both sides by (-2)</em>

y = -2x - 3

We have the same equations. Therefore the system of equations is dependent. Has an infinite number of solutions

x ∈ R

y = -2x - 3

7 0
4 years ago
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Find the outputs for a given function using these input values: x: Input -10, 0, ,2 , 4, 10 Function Rule f(x) = -x+2 -10 0 2 4
raketka [301]

Answer:

12, 2, 0, -2 and 8

Step-by-step explanation:

Give the function f(x) = -x+2

If x = -10

y = -(-10)+2

y = 10+2

y = 12

If x = 0

y = -0+2

y = 2

If x = 2

y = -2+2

y = 0

If x  = 4

y = -4+2

y = -2

If x = 10

y = -10+2

y = -8

Hence the outputs are 12, 2, 0, -2 and 8

8 0
3 years ago
What is the y intercept of a line that has a slope of 3 and passes through (-1,-7)?
Natalka [10]

Answer:

I think its b

Step-by-step explanation:

5 0
3 years ago
The table shows the results of a survey in which 10th-grade students were asked how many siblings (brothers and/or sisters) they
lesantik [10]

Answer:

<em>70%</em>

<em></em>

Step-by-step explanation:

Given

Number of Siblings:   ||    0  ||    1    ||      2     ||       3

Number of Students: ||    4  ||    18    ||    10     ||       8

Required

Determine the probability of a student having at least one but not more than 2 siblings

First, we have to determine the total number of 10th grade students

Total = 4 + 18 + 10 + 8

Total = 40

The probability of a student having at least one but not more than 2 siblings = P(1) + P(2)

Solving for P(1)

P(1) = number of students with 1 sibling / total number of students

From the given parameters, we have that:

Number of students with 1 sibling = 18

So:

P(1) = \frac{18}{40}

Solving for P(2)

P(2) = number of students with 2 siblings / total number of students

From the given parameters, we have that:

Number of students with 2 siblings = 10

So:

P(2) = \frac{10}{40}

P(1) + P(2) = \frac{18}{40} + \frac{10}{40}

Take LCM

P(1) + P(2) = \frac{18 + 10}{40}

P(1) + P(2) = \frac{28}{40}

Divide numerator and denominator by 4

P(1) + P(2) = \frac{7}{10}

P(1) + P(2) = 0.7

Convert to percentage

P(1) + P(2) = 70\%

<em>Hence, the required probability is 70%</em>

6 0
3 years ago
Can someone help me with this question?
horsena [70]

Answer:

T,F,F,F ?

Step-by-step explanation:

3 0
3 years ago
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