Answer: y=8x-58
Step-by-step explanation:
1. find the slope
Since the new line is parallel to the first one that means the slope of 8x will remain the same.
2. plug it into the point slope formula y-y1=m(x-x1)
which would look like
y-(-2)=8(x-7)
3. solve for y
y-(-2)=8(x-7)
y+2=8x-56
y=8x-58
Find the unit price (in dollars per ounce) if a 21-ounce can of pineapple costs $3.36.
a. $0.18 per ounce
b. $0.16 per ounce
c. $0.19 per ounce
d. $0.23 per ounce
e. $0.21 per ounce
at the annual dog show, chantel noticed that there were three more scotties than schnauzers. she also realized that the number of wirehaired terriers was five less than twice the number of schnauzers. if there were dogs in all (counting schnauzers, scotties, and wirehaired terriers), how many schnauzers were there? write and solve an equation.
The no. of schnauzers in the annual dog show are 20.
Assume that there are x Schnauzers at the annual dog show.
Scotties entered in the yearly dog show: x + 3
There are 2x - 5 Wirehaired Terriers entered in the annual dog show.
There are 78 dogs in all competing in the yearly dog show.
Consequently, the equation becomes
x + x + 3 + 2x - 5 = 78.
4x - 2 = 78
4x = 78 + 2
4x = 80
x = 80/4
= 20
In the yearly dog show, there are 20 Schnauzers. I hope you can understand the process without too much trouble. It is crucial to thoroughly study the equation so that you can easily solve the issue.
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Factor the expression below.
x2 – 81
Answer:
The factors are (x+9),(x−9).
Step-by-step explanation:
Solve for the value of z.
(7z+7)°
(9z-7)°
Base on congruency of vertical angles, the value of z is 7.
What are vertically opposite angles?Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.
In other words, vertically opposite angles are angles that opposed each other at one specific vertex, and are formed by two straight intersecting line.
Vertically opposite angles are congruent to each other.
Therefore,
7z + 7 = 9z - 7
subtract 9z from both sides of the equation
7z + 7 = 9z - 7
7z - 9z + 7 = 9z - 9z - 7
-2z + 7 = - 7
subtract 7 from both sides of the equation
-2z + 7 = - 7
-2z + 7 - 7 = - 7 - 7
- 2z = - 14
divide both sides by - 2
z = - 14 / -2
Therefore,
z = 7
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Can someone please help
Please help!! Math is not my cup of tea and I’m really struggling!! ASAP
Given the function:
f(x)=x²-3x - 4
Find the following values.
a) f(2)
f(2)=
b) f(4)
ƒ(4)=
c) f(-3)
ƒ(-3) =
Answer: [tex]-6, 0, 14[/tex]
Step-by-step explanation:
[tex]f(2)=2^2 - 3(2)-4=-6\\\\f(4)=4^2 -3(4)-4=0\\\\f(-3)=(-3)^2 -3(-3)-4=14[/tex]
Answer:
5782
Step-by-step explanation:
td j envalentonado 8jdjdyzh d
Question 1
Order from smallest to largest by selecting the dropdown beside each option. Mark the smallest with number 1.
• Number of pennies in a stack that is 1 ft high [Select]
• Number of books in a stack that is 1 ft high [Select]
• Number of dollar bills in a stack that is 1 ft high [Select]
• Number of slices of bread in a stack that is 1 ft high [Select]
.
Question 2
The order from smallest to largest is a book, bread, penny, bills
In decreasing size, they are a book, a loaf of bread, a penny, and a bill.
The following details must be taken into account;
The least number of books was thought to be necessary to reach one foot, followed by bread and then pennies.Finally, there should be bills.We can infer from the facts above that the smallest to largest items are books, bread, pennies, and cash.
Hence, The order from smallest to largest is a book, bread, penny, bills.
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please helppp
What is the derivative of 2x^2(cotx)?
the derivitvte of 2x^2(cotx) is −4cot2xcsc^2(2x)
-4x = -60 on a graph
The graph of the equation -4x = -60 is shown below.
How to Graph the Equation of a vertical Line?A vertical line is expressed as the equation, x = b. Here, the variable "b" is the point on the x-axis where the line intercepts the horizontal axis.
Thus, to plot the graph for a vertical line with the equation, x = b, we would simply draw a vertical line that crosses the x-axis at point b.
Given the equation, -4x = -60, rewrite the equation in the form x = b, to determine the value of b:
-4x/-4 = -60/-4 [division property of equality]
x = 15
This means that the graph of the equation, -4x = -60, would be a graph that has a vertical line that crosses the x-axis at 15.
the graph is shown below.
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Find −2⋅[g(−2)].
Select one:
a. 8
b. -40
c. 20
d. -16
pls help <3
the correct answer is a so write it
Choose the correct answer for each row.
Match each equation to the value of x that is the solution. Values of x may be used more than once and some will not be used.
Answer:
Step-by-step explanation:
Let h(x) = x+3−−−−−−√ and k(x) = 2x + 7. Find the value h(k(3)).
The value of the given function h(k(3)) when h(x) =√ x+3 and k(x) = 2x +7 is equal to 4.
As given in the question,
Given functions are :
h(x) =√ x+3 and k(x) = 2x +7
To find the value of the composite function h(k(3)) :
First calculate for k(3) we get,
k(x) = 2x+ 7
Substitute x =3 in k(x) we get,
k(3) = 2(3) +7
⇒ k(3) = 13
Now, Substitute the value of k(3) in the composite function h(k(3)) we get,
h(k(3))
= h(13)
= √ 13 +3
=√16
= 4
Therefore, the value of the given function h(k(3)) when h(x) =√ x+3 and k(x) = 2x +7 is equal to 4.
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check whether the following are quadratic equations
x^ 2 -2x=(-2)(3-x)
The given equation x²-2x=(-2)(3-x) is a quadratic equation.
What is quadratic equation?A second-degree quadratic equation in algebra is one that involves x.
The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.
The coefficient of x2 must be a non-zero term in order for an equation to meet the definition of a quadratic equation.
given:
x²-2x=(-2)(3-x)
on expanding,
x²-2x = -6+2x
x²-4x+6 = 0
hence above equation is in form of ax²+bx+c=0, where a=1, b=-4. c=6
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an ice cream shop sells small and large sundaes . one day, 30 small sundaes and 50 large sundaes were sold for $420.another day, 15 small sundaes and 35 large sundaes were sold for $270. sales tax is included in all prices .
Using equation, the cost of small sundae and large sundae are 4 dollars and 6 dollars respectively.
How to solve for the cost of small and large sundae that were sold?The ice cream shop sells small and large sundaes .
One day, 30 small sundaes and 50 large sundaes were sold for $420. Another day, 15 small sundaes and 35 large sundaes were sold for $270.
Therefore,
let
x = cost of each small sundae
y = cost of each large sundae
Therefore,
30x + 50y = 420
15x + 35y = 270
multiply equation(ii) by 2
30x + 50y = 420
30x + 70y = 540
subtract equation(i) from equation(ii)
20y = 120
y = 120 / 20
y = 6
Hence,
30x + 50(6) = 420
30x + 300 = 420
30x = 420 - 300
30x = 120
x = 120 / 30
x = 4
Therefore,
cost of small sundae = 4 dollars
cost of large sundae = 6 dollars
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Find g'(x) for g(x) = 2x√x² +7
Answer:
[tex] {2x}^{2} + 7[/tex]
so hope it helps
In the figure below, XY = 15 and YZ = 17. Find XZ
The value of XZ is 32.
What is the value of XZ?
Trigonometry simply means the branch of mathematics that is concerned with functions of angles as well as their applications to calculation. It also deals with the relationship between ratios and their angles.
From the figure, XY = 15 and YZ = 17
XZ is the sum of XY and YZ:
XZ = XY + YZ
XZ = 15 + 17 = 32
Therefore, XZ is 32.
This shows the concept of trigonometry.
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What is the solution to the equation x\6 = 4\12?options:x = 2x = 6x = 4x = 1
SOLUTION
We want to solve the equation
[tex]\frac{x}{6}=\frac{4}{12}[/tex]cross multiplying, we have
[tex]\begin{gathered} 12\times x=6\times4 \\ 12x=24 \\ x=\frac{24}{12} \\ x=2 \end{gathered}[/tex]Hence the answer is x = 2, the first option
Which of the following belongs under the radical symbol in the quadraticformula below?-bt 土?X2a
The quadratic formula for a polynomial is given by:
[tex]x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}[/tex]Therefore, option (C) is correct.
R = ((-4,2), (3,6), (x,8), (-1,4))
Which value of r would make this relation a function?
Answer:
0
Step-by-step explanation:
the domain can’t be the same
8. The equation below is the standard form of a linear equation. += ax+by=c Which of the following is an equivalent equation? A. =−+ y=−abx+cb B. =+ C. =+ y=bax+bc D. =−+
Answer:
A
Step-by-step explanation:
ax + by = c Subtract ax from both sides
by = -ax + c Divide all the way through by b
[tex]\frac{by}{b}[/tex] = [tex]\frac{-a}{b}[/tex] x + [tex]\frac{c}{b}[/tex]
y = - [tex]\frac{a}{b}[/tex] x +[tex]\frac{c}{b}[/tex]
pls answer the question i need it to day 20 points
Answer:
Step-by-step explanation:
See attached worksheet
There's still more, there's 3 parts I just can't see them until I have my answer
The cost of endless chicken wings at Restaurant X is $5. So cost equation for n chicken wings at Restaurant X is,
[tex]c=5[/tex]The cost of chicken wings at Restaurant Z is 20 cents and $1.40 for sauce. So cost equation for Restaurant Z is,
[tex]\begin{gathered} c=\frac{20}{100}\cdot n+1.40 \\ =0.20n+1.40 \end{gathered}[/tex]So answer is,
Restaurant X: c = 5
Restaurant Z: 0.20n + 1.40
(b)
Plot the system of equation on the graph.
(c)
The lines of two restaurant X and restaurant Z intersect each other at point (18,5). This means that restaurant X and restaurant Z has same cost 5 at n = 18. So both restanurant has same cost for 18 chicken wings.
Answer: 18
3x3 determinant of -2, 3, 8 6, 7, 1 4, 5, 9
Miyako is building a raised garden bed the garden is a right rectangular prism with the dimensions shown how many cubic feet of soil does miyako need to fill the garden bed
Answer:
Step-by-step explanation 10:
Use the following data set to answer the question below.8 12 15 910121218 141510 11 12 9 17What is the mode for the data set?
12
1) Considering this Data Set:
8 12 15 9 10 12 12 18 14 15 10 11 12 9 17
2) And the fact that the mode is the central tendency measure that indicates the data point that repeats itself the most, we can tell that the mode is:
[tex]12[/tex]Note that this is the data point that repeats itself the most.
what is the answer to 2x - 15
A.-10
B.9
C.8
D.12
Possible answers to the expression 2x - 15 are given as follows:
-10 if 2x - 15 = -35.9 if 2x - 15 = 3.8 if 2x - 15 = 1.12 is 2x - 15 = 9.How to solve an expression?An expression is solved isolating the variable of which we want to find the value.
In this problem, the expression is given as follows:
2x - 15 = c.
In which c is a constant that is not given in the incomplete problem here, hence we will attribute values to it.
With c = -35, we have that the solution is found as follows:
2x - 15 = -35
2x = -20 (-35 + 15)
x = -20/2
x = -10.
Now, if c = 3, the solution is calculated as follows:
2x - 15 = 3
2x = 18
x = 18/2
x = 9.
In your problem, a value for c(the right-handed side of the equality) will be given, and you will solve it applying the same procedure I applied in the answer here.
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Tyler thinks he knows one of the linear factors of . After finding that , he suspects that is a factor of P(x). Here is the diagram he made to check if he’s right, but he set it up incorrectly. What went wrong?
Linear factors are the factors of a polynomial
What went wrong is that: Tyler's linear factors are incorrect
The polynomial function is given as:
Rewrite as:
Further rewrite as:
Factorize the above polynomial
Factor out x - 1 from the polynomial
This means that:
The linear factors are x - 1 and x^2 - 8x + 15
From the given diagram, Tyler's linear factors are x - 1 and x^2 - 8x - 15
Hence, Tyler's linear factors are incorrect
Given the following image, what additional information would you need to know to prove the triangles really are similar by SAS Similarity?
Given the following image, what additional information would you need to prove that the triangles are actually similar by AA Similarity?
1. The additional information needed to prove that ΔABE ~ ΔDBC by SAS similarity is: c. AB/DB is proportional to EB/CB.
2. The additional information needed to prove that ΔABE ~ ΔDBC by AA similarity is: a. ∠A ≅ ∠D.
What is the SAS Similarity?The SAS similarity is a triangle theorem that proves that two triangles are similar to each other if they have two pairs of sides that are proportional to each other and a pair of included congruent angles.
What is the AA Similarity?The AA similarity states that of two angles in one triangle is congruent to two corresponding angles in another triangle, then the two triangles are similar based on these properties they have.
1. In the triangles shown in the image, we have a pair of congruent angles based on he definition of vertical angles: ∠ABE ≅ ∠DBC
We are also given the measure of two corresponding sides. These are not enough to show the triangles are similar by the SAS similarity.
The additional information needed is: c. AB/DB is proportional to EB/CB.
2. Only one pair of congruent angles is given which is not enough to prove the triangles are congruent by AA similarity.
The additional information needed would be: a. ∠A ≅ ∠D.
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arthur walks 3 km north, and then turns east and walks 4 km. what is distance traveled and his displacement?
If arthur walks 3 km north, and then turns east and walks 4 km. The distance traveled is 7km and his displacement is 5km.
Distance travelled and displacementDistance traveled:
Distance traveled = Km north + East Km
Distance traveled = 3 km + 4 km
Distance traveled = 7 km
Displacement
Using Pythagoras theorem to determine or find the displacement
B² = A ²+AB²
B² = 3 ² +4 ²
B = 9+16
B = √ 25
B = 5 km
Therefore the 7km is the distance and 5km is the displacement.
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Please answer quickly
Answer:
[tex]y+2=\frac{5}{2} (x-6)[/tex]
Step-by-step explanation:
point-slope form: y-y1=m(x-x1)
x1=6
y1=-2
m=5/2
[tex]y+2=\frac{5}{2} (x-6)[/tex]