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anyanavicka [17]
3 years ago
10

7x-6y=15 -9x+6y=-9 Please help out

Mathematics
2 answers:
Alborosie3 years ago
8 0
-2x=6 x=-3 7(3)-6y=15 21-6y=15 -6y=-6 y=1
x=3 y=1
olga55 [171]3 years ago
7 0

Geometric figure: Straight Line

Slope = 2.333/2.000 = 1.167
x-intercept = -15/7 = -2.14286
y-intercept = 15/6 = 5/2 = 2.50000
Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

7*x-6*y-(-15)=0

Step by step solution :

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Step 1 :

Equation of a Straight Line

1.1 Solve 7x-6y+15 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 7x-6y+15 = 0 and calculate its properties

Graph of a Straight Line :



Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 5/2 so this line "cuts" the y axis at y= 2.50000

y-intercept = 15/6 = 5/2 = 2.50000
Calculate the X-Intercept :

When y = 0 the value of x is -15/7 Our line therefore "cuts" the x axis at x=-2.14286

x-intercept = -15/7 = -2.14286
Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 2.500 and for x=2.000, the value of y is 4.833. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 4.833 - 2.500 = 2.333 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 2.333/2.000 = 1.167
Geometric figure: Straight Line

Slope = 2.333/2.000 = 1.167
x-intercept = -15/7 = -2.14286
y-intercept = 15/6 = 5/2 = 2.50000
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Gibbs Baby Food Company wishes to compare the weight gain of infants using its brand versus its competitor’s. A sample of 40 bab
Leviafan [203]

Answer:

z=\frac{(7.6-8.1)-0}{\sqrt{\frac{2.3^2}{40}+\frac{2.9^2}{55}}}}=-0.936  

The p value can be founded with this formula:

p_v =P(z  

Since the p value is higher than the significance level provided of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true mean for the Gibbs brand is significantly lower than the true mean for the competitor

Step-by-step explanation:

Information given

\bar X_{1}=7.6 represent the mean for Gibbs products

\bar X_{2}=8.1 represent the mean for the competitor

\sigma_{1}=2.3 represent the population standard deviation for Gibbs

\sigma_{2}=2.9 represent the sample standard deviation for the competitor

n_{1}=40 sample size for the group Gibbs

n_{2}=55 sample size for the group competitor

\alpha=0.05 Significance level provided

z would represent the statistic

Hypothesis to verify

We want to check if babies using the Gibbs brand gained less weight, the system of hypothesis would be:  

Null hypothesis:\mu_{1}-\mu_{2}=0  

Alternative hypothesis:\mu_{1} - \mu_{2}< 0  

The statistic would be given by:

z=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}} (1)  

Replacing the info given we got:

z=\frac{(7.6-8.1)-0}{\sqrt{\frac{2.3^2}{40}+\frac{2.9^2}{55}}}}=-0.936  

The p value can be founded with this formula:

p_v =P(z  

Since the p value is higher than the significance level provided of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true mean for the Gibbs brand is significantly lower than the true mean for the competitor

5 0
3 years ago
I need help pls.. and thank you..
zmey [24]
40 times 24 times 154 divided by 2 will give you the answer.
4 0
3 years ago
4x +3 -x - 2<br><br><br> Please help me I’m stuck
torisob [31]

Answer:4+1=5

Step-by-step explanation:

The reason the answer is 4+1 is because you have to subtract x from 4x causing it to be just 4 and then y I have to subtract 2 from 3 leaving one then you would have to add 4+1 which equals 5

8 0
3 years ago
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If f(x) = |x| + 9 and g(x) = –6, which describes the value of (f + g)(x)?
Kryger [21]
(f+g) (x)= f(x) + g(f)

= IxI + 9 + (-6) 

= IxI + 9 - 6

= IxI + 3

(f + g)(x) = IxI + 3 
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Jamie needs some clothes for school. He will purchase 5 socks for $ 1.31 each, 3 dozen t-shirts at $ 2.34 a dozen, and a pair of
kaheart [24]

Answer:

he was a little bit off but he was close because it $26.95

Step-by-step explanation:

1. 5 x 1.31= 6.55

2.  3x2.34=7.02

3.  6.55+7.02+13.38=  26.95

5 0
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