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lara [203]
1 year ago
13

Substituting the equation y = 4x + 1 into the equation 2y = -x – 1 will produce the equation ________.

Mathematics
2 answers:
Zarrin [17]1 year ago
7 0

Answer:

Step-by-step explanation:

Substituting y = 4x+1 into 2y = -x-1 gives the equation

2(4x+1) = -x-1

Solve the equation:

8x+2 = -x-1

9x = -3

x = -⅓

Mars2501 [29]1 year ago
4 0

Answer:

Step-by-step explanation:

Substituting y = 4x+1 into 2y = -x-1 gives the equation

2(4x+1) = -x-1

Solve the equation:

8x+2 = -x-1

9x = -3

x = -⅓

Step-by-step explanation:

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For which discriminant is the graph possible<br> b2-4ac=0<br><br> b2-4ac=-1<br><br> b2-4ac=4
VARVARA [1.3K]

Answer:

The graph is possible for b^2-4ac=4

Step-by-step explanation:

we know that

The discriminant of a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

D=b^2-4ac

If D=0 the quadratic equation has only one real solution

If D>0 the quadratic equation has two real solutions

If D<0 the quadratic equation has no real solution (complex solutions)

In this problem , looking at the graph, the quadratic equation has two real solutions (the solutions are the x-intercepts)

so

b^2-4ac > 0

therefore

The graph is possible for b^2-4ac=4

4 0
1 year ago
If the following fraction is reduced, what will be the exponent on the p? -5p^5q^4/ 8p^2q^2
viktelen [127]
<span>-5p^5q^4/ 8p^2q^2
= -5p^3q^2

</span><span>exponent on the p will be 3

answer
</span><span>C.3</span>
6 0
2 years ago
Read 2 more answers
WILL GIVE BRAINLIEST ANSWER!!
Natasha2012 [34]
Check the picture below.

now, bear in mind that, there are 60minutes in 1 degree, so 23' is just 23/60 degrees or about 0.38 degrees.

and 29' is just 29/60 degrees or about 0.48 degrees.

so 16°23' is about 16.38°, and 49°29' is about 49.48°

\bf tan(16.38^o)=\cfrac{200}{a+b}\implies a+b=\cfrac{200}{tan(16.38^o)}&#10;\\\\\\&#10;\boxed{b=\cfrac{200}{tan(16.38^o)}-a}&#10;\\\\\\&#10;tan(49.48^o)=\cfrac{200}{b}\implies \boxed{b=\cfrac{200}{tan(49.48^o)}}\\\\&#10;-------------------------------\\\\&#10;\cfrac{200}{tan(49.48^o)}=\cfrac{200}{tan(16.38^o)}-a\\\\\\a=\cfrac{200}{tan(16.38^o)}-\cfrac{200}{tan(49.48^o)}

make sure your calculator is in Degree mode.

4 0
2 years ago
Read 2 more answers
In a completely randomized experimental design involving three assembly methods, 30 employees were randomly selected and 10 were
AnnZ [28]

Answer:

F = \frac{MSR}{MSE} =\frac{45.89}{6.27}=7.32

So then the best option is:

a. 7.32

Step-by-step explanation:

Previous concepts

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".  

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"  

If we assume that we have 3 groups and on each group from j=1,\dots,10 we have 10 individuals on each group we can define the following formulas of variation:  

SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2  

SS_{between=Treatment}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2  

SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2  

And we have this property  

SST=SS_{between}+SS_{within}

Where SST represent the total sum of squares.  

The degrees of freedom for the numerator on this case is given by df_{num}=k-1=3-1=2 where k =3 represent the number of groups.  

The degrees of freedom for the denominator on this case is given by df_{den}=df_{between}=N-K=30-3=27.  

And the total degrees of freedom would be df=N-1=30 -1 =29  

From the info given we know that MSR=\frac{SSR}{2}=45.89

And MSE=\frac{SSE}{27}=6.27

From definition the F statisitc is defined as:

F = \frac{MSR}{MSE} =\frac{45.89}{6.27}=7.32

So then the best option is:

a. 7.32

3 0
2 years ago
Julissa is running a 10-kilometer race at a constant pace. After running for 18 minutes, she completes 2 kilometers. After runni
viktelen [127]

Answer:

the answer is C

Step-by-step explanation:

using her first part 2 kilometers in 18 minutes

total kilometers - 2

and total time - 18

so you would get:

k – 2 = (t – 18)

4 0
2 years ago
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