Using a system of equations, it is found that she has 9 picture books.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Number of picture books.
- Variable y: Number of encyclopedias.
- Variable z: Number of fairy tale books.
The ratio of the number of picture books encyclopedias, and fairy tale books Annette had is 3:4:5, hence:
She gave half of her encyclopedias to her brother and he gave her 5 books of fairytales. Now she has 14 more books of fairy tales than encyclopedias, hence:
z + 5 - 0.5y = 14.
z - 0.5y = 9
From the ratios, we have that:
Hence we solve for x to find the number of picture books:
x = 9.
More can be learned about a system of equations at brainly.com/question/24342899
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Answer:
The value of element (1,1 )in matrix X is x =( m-4)
Step-by-step explanation:
Here, solving the given matrix equation, we get
Let X = {x,y}
Now, by matrix multiplication:
x + 2y = m
and my = 2 m
⇒ y = 2
Now, if y = 2,
⇒ x + 2(2) = m
or, x = m -4
Hence, (1,1) entry of X is x =( m-4)
x₁=2
y₁=3
x₂=-2
y₂=0
Slope (m)=0.75
Angle (θ)=36.8699 deg
Distance=5
Δx=4
Δy=3
The correct answer is <u><em>Slope = 0.75</em></u>
Hope this helps!!!
<3 -austunt1414
3x/4-9=27
Common denominator is 4
4(3x/4-9)=4•27
Distributing 4 through parentheses
4•3x/4-(4•9)=(4•27)
3x-4•9=4•27
3x-36=108 add 36
3x=108+36
3x=144 divide by 3
/3 /3
x=144/3
x=48•3/3
x=48 solved for x
Answer:
x+7/8
Step-by-step explanation:
A polynomial has roots at the points where the curve cuts the x axis.
This can also be said as values of x for which the polynomial is 0
Given that when x =a is root means, we have x-a is the factor.
Based on the above, we find when 3/4, -7/8, -3/8 and -1/9 are roots
factors are x-3/4, x+7/8, x+3/8, x+1/9
Hence answer is
B) (x + 3/8)
The other options do not match with the factors only option Bmatches.
