Answer:
x = [tex]\frac{3}{2} , -5[/tex]
Step-by-step explanation:
We know that we have to find the roots of the equation - which is another way of saying the x-intercepts, or the points that are on the x-axis that the graph passes through. All points on the x-axis have a y-value of 0. So, in order to find the roots for this equation, we need to find which values of x make the y equal 0.
The equation has already been factored out. So, we just need to find which values of x for each of the expressions in the parentheses will make the result 0. To do this, set the expressions in the parentheses to 0 and isolate x.
1) First, let's look at (2x-3). Write the equation 2x-3 = 0. Then, isolate x:
[tex]2x-3 = 0\\2x = 3\\x = \frac{3}{2}[/tex]
Therefore, [tex]\frac{3}{2}[/tex] is one of the roots.
2) Next, let's look at (x+5). Write the equation x+5 = 0. Then, isolate x:
[tex]x+5 = 0\\x = -5[/tex]
Therefore, -5 is a root as well.
The roots of the equation would be [tex]\frac{3}{2}[/tex] and -5.
The gas tank in my car is 5/6 full . Each time I drive it to or from work I use 1/12 of a full tank of gas . Which equation represents the number of times I can drive to or from work with the gas in my tank
Answer:
5/6 = 1/12x
Step-by-step explanation:
x represents the amount of times you can can drive to or from work with the gas in the tank
5/6 = 1/12x
- Multiply both sides of equation by 12
10 = x
If the Volume of a box is 250 feet3 and the height is 5 feet and the length is 5
feet, what is the measurement of the width?
Answer:
10 feet
Step-by-step explanation:
Use the volume formula, V = lwh, to solve for w
Plug in the values we know:
V = lwh
250 = (5)(w)(5)
250 = 25w
10 = w
So, the width is 10 feet
Hi! If you could please do my assignment, I'd be grateful! I'll also mark brainliest, giving thanks, and hearts for the best. Thank you!!!
Answer:
1. AD
2. 5.2 cm
3. x = 4
4. BC
5. 3
6. x = 12
Step-by-step explanation:
what is the measure of the central angle that represents blue backpacks?
Answer:
Yes it is 10
Step-by-step explanation:
what’s the length of E to D
what’s the length of B to E
Given:
In triangle ACD, BE||CD, AB = 20 cm, BC = 5 cm, CD = 18 cm, AE = 26 cm.
To find:
(a) The length of ED.
(b) The length of BE.
Solution:
In triangle ABE and ACD,
BE||CD, so angle ABE and angles ACD are corresponding angles. So, their measure are equal.
[tex]m\angle ABE=m\angle ACD[/tex] (Corresponding angles)
[tex]m\angle BAE=m\angle CAD[/tex] (Common angle)
Now,
[tex]\Delta ABE\sim \Delta ACD[/tex]
Corresponding sides of similar triangles are proportional.
[tex]\dfrac{AB}{AC}=\dfrac{BE}{CD}=\dfrac{AE}{AD}[/tex]
(a)
[tex]\dfrac{AB}{AC}=\dfrac{AE}{AD}[/tex]
[tex]\dfrac{20}{20+5}=\dfrac{26}{AD}[/tex]
[tex]\dfrac{20}{25}=\dfrac{26}{AD}[/tex]
[tex]0.8=\dfrac{26}{AD}[/tex]
Isolate AD.
[tex]0.8AD=26[/tex]
[tex]AD=\dfrac{26}{0.8}[/tex]
[tex]AD=32.5[/tex]
Now,
[tex]AD=AE+ED[/tex]
[tex]32.5=26+ED[/tex]
[tex]32.5-26=ED[/tex]
[tex]6.5=ED[/tex]
Therefore, the length of ED is 6.5.
(b)
[tex]\dfrac{AB}{AC}=\dfrac{BE}{CD}[/tex]
[tex]\dfrac{20}{25}=\dfrac{BE}{18}[/tex]
[tex]0.8=\dfrac{BE}{18}[/tex]
Multiply both sides by 18.
[tex]14.4=BE[/tex]
Therefore, the length of BE is 14.4.
please help
if right i give brainliest i need help
Answer:
A-J=4
B-G=50
C-F=2
D-I=32
E-H=8
Answer please.............
Answer:
Option D: 1 is the correct answer.
Step-by-step explanation:
Given that:
n(x) = 7x+4
n(x) = 11
Putting n(x) = 11 in first function.
11 = 7x + 4
Now, we will subtract 4 from both sides
11 - 4 = 7x + 4 - 4
7 = 7x
7x = 7
Dividing both sides by 7
[tex]\frac{7x}{7}=\frac{7}{7}[/tex]
x = 1
Hence,
Option D: 1 is the correct answer.
The new pastry chef at Jackson's Bakery specializes in sheet cakes for parties. She sold 17 small, 11 medium, and 20 large sheet cakes in one week. How much money did Jackson's Bakery make in one week from sheet cakes?
Answer:
Therefore the total amount that Jackson's Bakery made in one week from sheet cakes is: = $2,238
Step-by-step explanation:
Step One:
To arrive at the total amount made from the sheet cakes, we have to assign the prices of each type of cake. They are:
Small Sheet Cake - $36Medium Sheet Cake - $46Large Sheet Cake - $56Step Two:
If the new pastry sold 17 small, 11 medium and 20 large sheet cakes respectively, the total money made comes to the following:
= (36 x 17) + (11 x 46) + (56 x 20)
= 612 + 506 + 1120
Therefore the total amount that Jackson's Bakery made in one week from sheet cakes is:
= $2,238
Cheers!
Write the ratio in simplest form.
The ratio of green beads to blue beads is ???
3:6 but if u simplify it it will become
1:2
Help needed. Will mark brainliest. Please help:c
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Cost of owning and operating a printer :
Purchase Cost = $100
Printing per per page = $0.05
Thus, owning and operating cost :
Purchase cost + (Printing per page * number of pages)
Number of pages = p
100 + 0.05p
Service cost :
Amount per page = 0.25
Total revenue = cost per page * number of pages
Total revenue from service =. 0.25p
The equation :
100 + 0.05p = 0.25p ; is the owning and operating cost = total revenue
It gives the equation to calculate the number of pages at which total revenue equals owning and operating cost.
100 + 0.05p = 0.25p
100 =0.25p - 0.05p
100 = 0.20p
p = 100/0.2
p = 500
When number of pages equals 500; the owning and operating cost is equal to the revenue made.
Xavier starts the summer with $315 in his savings account. Since he will be working a lot this summer, he made plans to deposit $80 into his account each week. If he ended the summer with $955 in his savings account, how many weeks did he make deposit?
Answer: 8 weeks
Step-by-step explanation:
He originally had $315 in his account. This figure increased to $955. It therefore increased by:
= 955 - 315
= $640
If he deposited $80 every week, the number of weeks it would take to deposit $640 is:
= 640/80
= 8 weeks
A compound is made up of various elements totaling 90 ounces. If the total amount of uranium in the compound weighs 18 ounces, what percent of the compound is made up of uranium? If necessary, round your answer to the nearest hundredth.
Answer:
20%
Step-by-step explanation:
The percent of the compound that is made of uranium is calculated as:
(Number of ounces of uranium /Number of ounces of the compound)
× 100
Total amount of uranium in the compound weighs = 18 ounces
A compound is made up of various elements totaling = 90 ounces.
Hence:
= 18/90 × 100
= 1800/90
= 20%
Therefore, the percent of the compound that is made up of uranium is 20%
PLEASE answer as soon as you can! First correct answer will get BRAINLIEST!!! :)
Answer:
(x-3)(x-5)
Step-by-step explanation:
Answer:
x = 3 or x= 5
Step-by-step explanation:
Δ = (-8)² - 4×15
= 64- 60
=4
and 4≥0
so x = (8 - √4 )÷2 = 3
or x= (8 + √4 )÷2 = 5
so P(x) = (x-3) (x-5)
PLEASE HELP ME NOT THAT HARD I THINK
For one test, Benny got 12 questions wrong. His score was a 60%. In total, how many questions were on his test? Round your answer to the nearest whole number if necessary.
Answer: answer is 20 questions total
Step-by-step explanation:
12 Wrong, and 8 right. 60%
Mary Beth could jump 42 times each minute. How many times could she jump in two hours explain to me step by step
Answer:
5,040 jumps
Step-by-step explanation:
Let's figure out the number of jumps per hour
42 steps/minute * 60 minutes/hour = 2,520 jumps/hour
Mary Beth is jumping for 2 hours, so we need to multiply by 2 hours.
2,520 jumps/hour * 2 hours = 5,040 jumps
The sum of 3 times a number and 16 is more than 25. Write an inequality and solve it.
Answer:
3x+16 >= 25 (Greater than or equal to) Solved: x>= 3
Step-by-step explanation:
I dont know how to put the line under the > sign so >= means greather than or equal to
Select the correct answer.
Simplify.
Answer:
is it m-9?Step-by-step explanation:
Answer:
its 1 /d
Step-by-step explanation:
6*3 is 18,
so its m^18 / m^18
which is 1
Have a good day!!!
BRAINLIEST goes to the right answer.
For the function in the graph, find the values of f(-2), f(2), and f(4).
A. 2;2;1
B. -2; -2; -1
C.-2;2;1
D. -2;2;-1
PLEASE HELP!!
what will happen to the graph of the line y= 3/4x -7 if you change 3/4 to -3/4?
a) the line will intersect
b) the slope of the line will change from positive to negative
c) (4,-4) will become a point on the line
d) the y-intercept will change from negative to positive
Answer:
B choice
Step-by-step explanation:
[tex]y = mx + b[/tex]
where m = slope and b = y-intercept.
The value of m is 3/4. That means slope is 3/4. Changing 3/4 to - 3/4 will make the slope become negative. Therefore the answer is B.
Answer: b) the slope of the line will change from positive to negative
How many 5/6 are in 2/3
Answer:
The amount is 4/5 of 5/6 is in 2/3.
Step-by-step explanation:
There 4/5 is 5/6 in the fraction 2/3 which is determined by the division operation.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation.
For example 4/2 = 2
We have to determine how many 5/6 are in the fraction 2/3.
The numbers are given in the question below
2/3 and 5/6
According to the given question, the required solution would be as:
⇒ 2/3 ÷ 5/6
⇒ (2/3) / (5/6)
Reciprocal the terms of the numerator in the above expression
⇒ (2/3) × (6/5)
Apply the multiplication operation,
⇒ 12 / 15
Reduce the fraction in the simplest form,
⇒ 4/5
Therefore, there 4/5 is 5/6 in the fraction 2/3.
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when 2(3/5 x + 2/3 y - 1/4 x -1 1/2 y + 3 )is simplified, what is the resulting expression?
Answer:
Simplifying the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex] we get [tex]\mathbf{42x-100y-360}[/tex]
Step-by-step explanation:
We need to simplify the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex]
First we will solve terms inside the bracket
[tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex]
Converting mixed fraction [tex]1\frac{1}{2} y[/tex] into improper fraction, we get: [tex]\frac{3}{2}y[/tex]
Replacing the term:
[tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-\frac{3}{2}y +3)[/tex]
Now, taking LCM of: 5,3,4,2 we get 60
Now multiply 60 with each term inside the bracket
[tex]2(\frac{3}{5}x\times60+\frac{2}{3}y\times60-\frac{1}{4}x\times60-\frac{3}{2}y\times60 +3\times60)\\2(3x\times12+2y\times20-1x\times15-3x\times30-3\times60)\\2(36x+40y-15x-90y-180)[/tex]
Now, combine like terms
[tex]2(36x-15x-90y+40y-180)\\2(21x-50y-180)[/tex]
Now, multiply all terms with 2
[tex]42x-100y-360[/tex]
So, Simplifying the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex] we get [tex]\mathbf{42x-100y-360}[/tex]
Lucy has a variety of socks in her laundry basket. Without looking, she selects one sock, then
a second.
Are these two events dependent or independent?
Answer:
This is dependent because it depends what sock she picked out first. It would be independent if she put the pulled out sock back into the container
The dimensions of a square are altered so that 10 inches is added to one side while 1 inch is subtracted from the other. the area of the resulting rectangle is 80in^2. how much larger is the area of the rectangle compared to the square?
The area of the rectangle is 44 square inches larger than the area of the square.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
Let represents the original side length of the square "s", then the dimensions of the rectangle are (s+10) inches and (s-1) inches.
So the area of the rectangle is (s+10)(s-1) = s² + 9s - 10.
Since the area of the rectangle is given as 80 square inches, we can set up the equation:
s² + 9s - 10 = 80
Solving this equation for s, we find that s = 6. This means that the original side length of the square was 5 inches.
The area of the square is s² = 6² = 36 square inches. So the area of the rectangle is 80 square inches and the area of the square is 36 square inches.
Therefore, the area of the rectangle is 80 - 36 = 44 square inches larger than the area of the square.
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y = -2x + 11
What is the slope of the equation?
A) -11
B) -2
C) 9
D) 11
Answer:
-2
Step-by-step explanation:
you must follow the y=mx+b
m=slope
b=intercept
Answer:
B) -2
Step-by-step explanation:
y= -2x+11 is in slope-intercept form
y= mx+b
y= y-coordinate
x= x-coordinate
m= slope
b= y-intercept
m= -2
Decrease £280 by 15%
Answer:
238
Step-by-step explanation:
280 times 0.85 = 238
Isaac is making a cookie recipe that requires 3 cups of sugar for every 6 cups of flour Isaac only has 4 cups of flour he concludes that he will only need two cups of sugar
A. Isaac is incorrect he needs three cups of sugar because decrease in the number of cups of flours by 2 requires increasing the number of cups of sugar by 2.
B. Isaac is the correct one third of the amount of sugar is needed because only one-third of the recipe will be made.
C. Isaac is incorrect the number of cups of sugar must be reduced by 2 because the number of cups of flour is reduced by 2.
D. Isaac is correct he needs 2 cups of sugar because a ratio 2 to 4 is equivalent to 3to6
Answer:
Step-by-step explanation:
D. Isaac is correct he needs 2 cups of sugar because a ratio 2 to 4 is equivalent to 3to6 ,
(The ratio 3:6 is equivalent to 1:2, similarly 2:4 is equivalent to 1:2, therefore the ratios 3:6 and 2:4 are the same)
Answer:
the answer is D
hope this helpful
how did you solve 60 times 400
Answer:
24000
Step-by-step explanation:
You just multiply 60 times 400
=24000
Answer:
24,000
Step-by-step explanation:
trick: multiply 6 x 4 = 24 count the zeros (3 zeros) add the amount of zeros to the end of the number being 24 giving you 24,000
Can anyone help me please?
Answer:
area= 50.2654825
dssssss
Answer:
48 if pi is equal to 3
50.48 if pi is equal to 3.14
Step-by-step explanation:
The base of a parallelogram is 6 ft more than the height. If the area of the parallelogram is 55 ft^2, what are the measures of the base and the height?
Answer:
Height = 5 ft
Base = 11 ft
Step-by-step explanation:
The area of a parallelogram is
Base × Height
From the question:
The base of a parallelogram is 6 ft more than the height.
Base = 6ft + h
If the area of the parallelogram is 55 ft^2,
what are the measures of the base and the height?
This is calculated as:
55 ft² =( 6 + h ) × h
55 = 6h + h²
h² + 6h - 55 = 0
h² +5h - 11h - 55 = 0
h(h + 5) - 11(h + 5) = 0
(h + 5)(h - 11) = 0
h - 11 = 0
height = 5ft
Base = 6 + h = 6 + 5
Base = 11ft
The table and the graph each show a different relationship between the same two variables, x and y:
How much more would the value of y be in the table, than its value on the graph, when x = 11?
Group of answer choices
110
170
385
495
Answer:
[tex]\displaystyle 385[/tex]
Step-by-step explanation:
The rate of change [slope] of the graph is 35, and for every two blocks you horisontally move represents seventy blocks vertical-wise, therefore an ELEVENTH block would require you to split 70 in half, giving you 35, then add this to 350 to get 385.
I am joyous to assist you at any time.
Answer:
The answer is Option B.) 385
Step-by-step explanation:
The pace of progress of the chart is 35, and for each two squares you horizontally move addresses seventy squares vertical-wise, thusly an 11 square would expect you to part 70 fifty-fifty, giving you 35, then, at that point, add this to 350 to get 385 as a result.