Answer:
Length = 16 inches and width = 12inches
Step-by-step explanation:
A = 192 in² . The width is 4 + 1/2x. therefore let x = length
Area = LW
192 = x(4 + 1/2 x)
192 = 4x + 1/2x²
384 = 8x + x² Multiply each term by 2 to make a
384 + 16 = x² + 8x + 16 Complete the square
400 = (x + 4)²
[tex]\sqrt{400} = \sqrt{(x + 4)^2}[/tex]
± 20 = x + 4
20 = x + 4 or -20 = x + 4
20 - 4 = x or -20 - 4 = x
16 = x or -24 = x reject the negative amount
Length = 16
width = 4 + 1/2(16); 4 + 8 = 12
Graph the following equation.
x+2y>-6
Answer:
im not to sure i think it is 45
Step-by-step explanation:
your welcome
Answer:
-2y=6-x
y=0.5x-3
x=0
y=0.5*0-3=-3
(0;-3)
y=0
0=0.5x-3
0.5x=3
x=3/0.5=6
(6;0)
what is the vertex of the porabola
Answer:
what is the vertex of the porabola by nagla 3by 7
Choose the true statements.
O
A linear function is expressed by a graph of a line that
crosses both axes at the origin. An equation is written in
slope-intercept form to express the same function as
shown in the graph. From just this information, what
statements can be made?
The slope of the equation must be positive.
The y-intercept of the equation is zero.
It is possible that the line on the graph is horizontal.
The slope of the equation must be negative.
Answer:
The y-intercept must be zero.
It is possible that the line is horizontal.
Step-by-step explanation:
The description states that the line "crosses both axes at the origin." That would mean that the point (0,0) is on the graph. The y-intercept is the value of y when x=0. We see that it is zero in this case (0,0).
The description says nothing about the slope. So it could be either positive or negative. But it could also mean that the slope is zero. A zero slope would be a horizontal line. So that is a second statement that is true: "It is possible that the line on the graph is horizontal."
Answer:
its b and c
Step-by-step explanation:
please i need help finishing this last question or i might get in trouble.
Solve.
w−(−23)=1.06
Enter your answer as a fraction in simplest form in the box.
w =
59/150
How?
w= 59/150
59/150 and -2/3 have to have the same denominators.
So, what I did was, -2/3×50= -100/150.
(Process of a new equation)
59/150-(-100/150)
[The two - signs cross each other out, making it a + ]
59/150+100/150 <- New Equation
__________________________________
59/150+100/150= 159/150
159/150= 1 9/150
9÷150=0.06
1+0.06= 1.06
(PROOF ABOVE)
Answer
add 1.06 = 1 3/50 = 1 3/50 + (-2/3) = 59/150
Step-by-step explanation:
Write an equation of a line that is perpendicular to the given line and passes through the given point.
y = 6x - 7
(12,-4)
• y = 6x +5
• y = -6x-5
• y = -1/6 x + 6
•y = -1/6 - 2
Answer:
• y = -6x-5
Step-by-step explanation:
Find the value of y.
Please answer these questions.(please include work/explanation)(1)
Answer:
Hi there!
I will help you answering the questions, if you do not understand what I'm working about, you can ask me on comment section.
Number 1First of all, we need to multiple the separated function.
[tex] \sf2(3x + 4)(x - 1)(x - 3) \\ = \sf(6x + 8)(x - 1)(x - 3) \\ \tt multiple \: the \: first \: equation \\ \tt(6x + 8) \: with \: (x - 1) \\ \sf = (6x \times x + 6x \times - 1 + 8 \times x + 8 \times - 1)(x - 3) \\ = \sf({6x}^{2} + 2x - 8)(x - 3) \\ \tt then \: multiple \: the \: last \: one \\ \tt (6 {x}^{2} + 2x - 8) \: with \: (x - 3) \\ \sf = \boxed{ \bold{ \red{ {6x}^{3} - 16x {}^{2} - 14x + 24}}}[/tex]
So the right answer is A
━━━━━━━━━━━━━━━━━
Number 2the graph has four zeros at :
-4-2/309After that we make them equal with 0, here is the thing:
x = -a is equal with x + a = 0
So we can conclude that :
-4 → x + 4 = 0-2/3 → 3x + 2 = 00 → x = 09 → x - 9 = 0Then we substitute them to a function :
x(x + 4)(3x + 2)(x - 9) = 0
3x⁴ - 13x³ - 118x² - 72x = 0
Then we looking on the option which one is equal with the answer above.
The right answer is B
━━━━━━━━━━━━━━━━━
Hope It Helps!
two angles of a triangle are 5x+20 and 2x+30 find the third angles
Answer:
Third angle is [tex]130-7x[/tex]
Step-by-step explanation:
We have sum of angles is [tex]180^{0}[/tex]
Let the third angle be [tex]y[/tex]
Hence
[tex]5x+20+2x+30+y=180\\\\y=130-7x[/tex]
Third angle is [tex]130-7x[/tex]
the graph of the function f is shown above. what is limx→2f(x)
The value of y as x tends to 2 is infinity since the curve progresses to infinity at this point that is [tex]\lim_{x \to 2} f(x) = \infty[/tex]
Find the graph attached. From the graph, we can see that the range of the function is the values along the y-axis and is from the minimum point on the curve (y = -2) to infinity
The range of the given graph in interval notation will be expressed as R = 2≤y<∞ or y ≥ 2. Note that 2 is included since the circle on the value of 2 is shaded.From the graph, we can deduce that the value of y as x tends to 2 is infinity since the curve progresses to infinity at this point.
Therefore we can conclude that [tex]\lim_{x \to 2} f(x) = \infty[/tex]
Learn more on the limits of a function here: https://brainly.com/question/23935467
30 POINTS!!! A catfish weights about 0.2 pound and its weight increases by about 15% each week. Write an exponential equation that represents the weight of the catfish after t weeks.
Answer:
0.30 15 times 2 easy 30 and this percent so 0.30
Step-by-step explanation:
A and B are complementary angles. If A = (x – 23)° and m
B = (2x + 29)°, then find the measure of B.
Answer:
∠ B = 85°
Step-by-step explanation:
Complementary angles sum to 90° , then
x - 23 + 2x + 29 = 90 , that is
3x + 6 = 90 ( subtract 6 from both sides )
3x = 84 ( divide both sides by 3 )
x = 28
Then
∠ B = 2x + 29 = 2(28) + 29 = 56 + 29 = 85°
What set of transformations could be applied to rectangle ABCD to create A″B″C″D″?
'Rectangle formed by ordered pairs A at negative 4, 2, B at negative 4, 1, C at negative 1, 1, D at negative 1, 2. The second rectangle is formed by ordered pairs A double prime at 2, negative 4, B double prime 1, negative 4, C double prime at 1, negative 1, D double prime at 2, negative 1.
A) Reflected over the x-axis and rotated 180°
B) Reflected over the y-axis and rotated 180°
C) Reflected over the x-axis and rotated 90° counterclockwise
D) Reflected over the y-axis and rotated 90° counterclockwise
Answer:
C) Reflected over the x-axis and rotated 90° counterclockwise
Step-by-step explanation:
Answer: Reflected over the x-axis and rotated 90° counterclockwise
Step-by-step explanation:
Took the test!
what is 3√-1 square root
Answer:
3
Step-by-step explanation:
3√-1 = √9*-1= √-9 = 3 bcuase its always positive
(1 point for work, 1 point for correct answer) PLEASE HELP BEFORE WINTER BREAK NO LINKS HURRY
what is what is sixth eighths times five(PLEASE HELP i'M STILL FAILING MATH!!!!!!!!!!!!!!!!!!!!)
Answer:
[tex]3\frac{3}{4}[/tex]
Step-by-step explanation:
[tex]\frac{6}{8} *\frac{5}{1}[/tex]
[tex]\frac{30}{8}[/tex] multiply across
[tex]\frac{15}{4}[/tex] simplify and convert into mixed number
[tex]3\frac{3}{4}[/tex]
Who are the two children that clung to the Ghost of Christmas Present? What do they symbolize?
Answer:
Ignorance and Want
Step-by-step explanation:
Igorance and Want symbolizes the poor in the 19th century. PS: I hope this helps
Answer:
The boy is ignorance and the girl is want, in my opinion (you may have a different take on this) they symbolize the poor. Throughout the novella, we have seen the good side of the poor through the Cratchints who work hard day in day out, and now Dickens is wanting to show how malnourished the poor really is. It can also show how Dickens is saying that if the government doesn't act and help out the poor as well as everyone else, this is what the future for the poor will look like, malnourished and uneducated. It is showing us the consequences of being basically abandoned from society in general, abandoned by the education system, and again, I think that Dickens here is trying to show the consequences of the abandonment of the poor and how the government and the rich should change their ways to stop that from happening by being kind and charitable ect.
how do i solve use the GCF and the distributive property to express a sum as a product 52 +20+36
Answer: just add them all up add 50+20+36 then you get 106
Step-by-step explan
f(x) = -3x +4 when x = -5 show every step
Answer:
f(-5) = 19
Step-by-step explanation:
f(x) = -3x + 4
f(-5) = -3(-5) + 4
f(-5) = 15 + 4
f(-5) = 19
Answer: The answer is 19
Step-by-step explanation: We know that the X value is -5 so we substitute that in for -3x to get (-3 x -5) We end up geting 15, next we add 4 and get 19. Basically the answer is 19. Have a great day.
Forgot to add the F(-5) sorry.
Cube A has a volume of 9 in3. Cube B has a volume of 5 in3. Which of the following expresses the ratio of the side length of Cube A to the side length of Cube B?
(A) 3 : 5 ^1/3
(B) 5^1/3 : 3^1/3
(C) 3^1/3 : 5^2/3
(D) 3^1/3 : 5^1/3
(E) 3^2/3 : 5^1/3
Using the formula for the volume of a cube, it is found that the expression which gives the ratio of the side length of Cube A to the side length of Cube B is:
[tex]r = \frac{3^{\frac{2}{3}}}{5^{\frac{1}{3}}}[/tex]
Which means that option E is correct.
The volume of a cube of side length l is given by:
[tex]V = l^3[/tex]
For Cube A, the volume is of 9 cubic inches, hence:
[tex]l_a^3 = 9[/tex]
[tex]l_a = \sqrt[3]{9}[/tex]
[tex]l_a = 9^{\frac{1}{3}}[/tex]
[tex]l_a = 3^{\frac{2}{3}}[/tex]
For Cube B, the volume is of 5 cubic inches, hence:
[tex]l_b^3 = 5[/tex]
[tex]l_b = \sqrt[3]{5}[/tex]
[tex]l_b = 5^{\frac{1}{3}}[/tex]
Then, the ratio is:
[tex]r = \frac{l_a}{l_b} = \frac{3^{\frac{2}{3}}}{5^{\frac{1}{3}}}[/tex]
To learn more about the volume of a cube, you can take a look at https://brainly.com/question/13030328
(5) Arrange the decimals in decreasing order...
(a) 8.6, 0.86, 6.8
(b) 7.005, 5.07 7.05
A) 0.86, 6.8, 8.6
B) 5.07, 7.005, 7.05
hope this is helpful!
Here are yesterday's high temperatures (in Fahrenheit) in 12 U.S. cities.
48, 50, 54, 54, 62, 68, 70, 72, 75, 77, 78, 80
Notice that the temperatures are ordered from least to greatest.
Give the five-number summary and the interquartile range for the data set.
The five-number summary of the data set given is:
Minimum = 48First Quartile (Q1) = 54Median = 69Third Quartile (Q3) = 76Maximum = 80What is the five-number summary?The five-number summary can be defined as a set of descriptive statistics that gives you an idea how your data looks like.
The five-number summary include the following:
Minimum, which is the lowest data value.First Quartile (Q1), which is the middle data value of the first half of the data set.Median, which is the middle data value of the data set.Third Quartile (Q3), which is the middle data value of the second half of the data set.Maximum, which is the lowest data value.What is the Interquartile range?The interquartile range is a measure of the spread of a data set, which is: IQR = Q3 - Q1
Given the data set, 48, 50, 54, 54, 62, 68, 70, 72, 75, 77, 78, 80:
Minimum = 48
First Quartile (Q1) = (54 + 54)/2 = 54
Median = (68 + 70)/2 = 69
Third Quartile (Q3) = (75 + 77)/2 = 76
Maximum = 80
Learn more about the five-number summary on:
https://brainly.com/question/24809873
Will mark brainly!! :)
Answer:
(2,1)
Step-by-step explanation:
The answer is (2,1)
Find the number of hours worked from 7:34 A.M.
to 11:48 A.M., assuming pay is for full quarter-
hours.
Answer:
3 hours
Step-by-step explanation:
If pay is for full quarter hours, then the worker won't get paid for work intervals of less than 15 minutes.
Subtract 7:34 from 11:48: we get 3:14 hours. Because the 14 minutes is less than the 15 minutes of a full quarter hour, the worker won't get paid for those 14 minutes.
So the 'number of hours worked' is 3 hours.
Note that 3:14 would be 3 hours 14 minutes.
Anna is working two summer jobs, making $18 per hour lifeguarding and making $11 per hour clearing tables. In a given week, she can work a maximum of 14 total hours and must earn at least $210. If Anna worked 12 hours clearing tables, determine the minimum number of whole hours lifeguarding that she must work to meet her requirements. If there are no possible solutions, submit an empty answer.
Answer: She would make $132 a day by cleaning tables for 12 hours and getting 11 per hour. She would have to get rid of 1 hour and 90 minutes of lifeguarding to get the same pay.
Step-by-step explanation:
ABC and XYZ are similar triangles with right angles at B and Y. AC=13 cm,
BC=5 cm. Find AB and XZ. (No links pls...)
Answer:
See belowStep-by-step explanation:
Since B is the right angle, AC is the opposite side - hypotenuse.
Use Pythagorean and find the missing side, AB:
[tex]AB = \sqrt{AC^2-BC^2} = \sqrt{13^2-5^2} =\sqrt{144} =12cm[/tex]There is no info given to link the triangles ABC and XYZ and hence can't provide solution to any dimension of XYZ.
If the scale factor was given as k, then XZ would be:
XZ = k*BC = 5kWrite the equation of the line that passes through (0,5) and is perpendicular to the line x = 3.
Answer:
(0,5)x3=(15,5)
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST
Answer: (2, -15)
Step-by-step explanation:
Tom, Kristen, and bill bought 3 granola bars to share amongst themselves. They divided each granola bar into 4 equal portions. Kristen ate 1 portion from each granola bar. Which equation represents how many granola bars Kristen ate.
Answer:
3/4 of a bar.
Step-by-step explanation:
Each piece of the granola bar is 1/4 of the bar. She ate 3 portions, so she ate 3/4.
what is -10 - 2g = -2(3g - 1) + 4
What is the slope of the line that passes through the points (-5, -5 ?(−5,5)?
Answer:
undefined
Step-by-step explanation:
I'm assuming the points are (-5,-5) and (-5,5)
The formula to do slope is: (y2-y1)/x2-x1)
2 points: (x1, y1) (x2, y2)
So then:
(5-(-5))/(-5-(-5))=10/0
This shows that the line is vertical, which means that slope is undefined.
Answer:5/65/6
The slope of the line passing through the point (5,5) is 5/6.
Step-by-step explanation: