Answer:
x= -7 x = 2
Step-by-step explanation:
f(x)= x^2 + 5x – 14
To find the x intercepts, set the function equal to zero
0 = x^2 + 5x – 14
Factor
What two numbers multiply to -14 and add to 5
7*-2 = -14
7+-2 = 5
0= (x+7) (x-2)
Using the zero product property
x+7 =0 x-2 =0
x= -7 x = 2
FOR BRAINLIEST! EASY MATH do with explanation !!! ASAP
Answer:
Here is the answer.
Step-by-step explanation:
1. area is 10 ( L x W = A )
2. area is 1 ( 1/2 BH = A )
3. I am not sure.
Determine the graph foci and asymptote equation of x^2/4-y^2=1
Answer:
B)
Foci: ((sqrt5),0),((-sqrt5),0)
Asymptotes: y=((1/2)x), y=((-1/2)x)
Step-by-step explanation:
Same rule with x before y as I mentioned in the other problem to identify the graph.
Answer: A. (THE FIRST GRAPH)
here's ss so you can see that it's correct + the top two graphs that were cut off in the question :)
Create a list of steps, in order, that will solve the following equation.
2
(
x
+
2
)
2
−
5
=
93
To solve 2(x + 2)^2 - 5 = 93, add 5 to both sides, divide by 2, take the square root of both sides, and finally subtract 2 to find x = 5 and x = -9.
To solve the equation 2(x + 2)^2 - 5 = 93, follow these steps:
First, add 5 to both sides of the equation to isolate the squared term: 2(x + 2)^2 = 98.
Divide both sides of the equation by 2 to get: (x + 2)^2 = 49.
Take the square root of both sides of the equation: x + 2 = 7. Remember that taking the square root yields two possible solutions.
Subtract 2 from both sides to solve for x: x = 5 and x = -9.
Therefore, the solutions to the equation are x = 5 and x = -9.
On your own paper, graph the coordinates of quadrilateral ABCD.
● A(-3, 0)
● B(2, 4)
● C(6, -1)
● D(1, -5)
A) Identify what type of quadrilateral ABCD will be and give an explanation of your response. You must also justify it algebraically by showing your work to support your response.
B) What is the perimeter and area of quadrilateral ABCD?
Answer:
A) Square
B) Perimeter: 4sqrt(41) units
Area: 41 units²
Step-by-step explanation:
AB and CD are parallel because both have the same gradient:
AB: (-3-2)/(0-4) = 5/4
CD: (6-1)/(-1--5) = 5/4
AD and BC are parallel because both have the same gradient:
AD: (-3-1)/(0--5) = -4/5
BC: (6-2)/(-1-4) = -4/5
Since (5/4) × (-4/5) = -1
All angles are 90 (Perpendicular)
Lengths
CD = AB = sqrt[(-3-2)²+(0-4)²] = sqrt(41)
BC = AD = sqrt[(6-2)²+(-1-4)²] = sqrt(41)
Therefore all sides are equal in length
Hence it's a square
Perimeter = 4s = 4sqrt(41) units
Area = s² = [sqrt(41)]² = 41 units²
A right rectangular prism has a length of 1.75 inches, a width of 2 inches, and a height of 1.5 inches.
A prism has a length of 1.75 inches, height of 1.5 inches, and width of 2 inches.
What is the greatest number of cubic inches that could fit inside the prism?
You could fit (*Blank*) cubic inches inside the prism.
Answer:
You could fit 5.25 cubic inches inside the prism.
Step-by-step explanation:
In order to calculate the number of cubic inches that could fit in the prism we first need to calculate it's volume, this is given by the formula below:
volume = length*width*height
Applying the data from the question:
volume = 1.75*1.5*2
volume = 5.25 inches³
Thefore you could fit 5.25 cubic inches inside the prism.
Answer: You could fit 5.25 cubic inches inside the prism.
Step-by-step explanation:
Hi, to answer this question we have to calculate the volume of the rectangular prism:
Volume (V) = Length x width x height
Replacing with the values given:
V = 1.75 in x 2 in x 1.5 in
Solving for V:
V = 5.25 cubic inches
You could fit 5.25 cubic inches inside the prism.
Feel free to ask for more if needed or if you did not understand something.
Find the next three terms of the sequence
6,12,18,24,
Solve the system of equations and choose the correct ordered pair. 3x + 2y = 12 6x + 3y = 21
Answer:
A) 3x + 2y = 12
B) 6x + 3y = 21
We multiply A) by -2
A) -6x -4y = -24 then we add B)
B) 6x + 3y = 21
-y = -3
y = 3
Since y = 3 then
x = 2
Step-by-step explanation:
Answer:
( −2)⋅( 3x +2y )= (−2)(12)(-2)⋅(3x+2y)= (-2)(12)
6x+3y=21
Step-by-step explanation:
Multiply each equation by the value that makes the coefficients of x opposite.
Simplify ( -2) ⋅(3x+2y)(-2)⋅(3x+2y)
Apply the distributive property.
−2(3x) − 2 (2y)=(−2) (12)
6x+3y=21
Multiply 3 by -2.
−6x − 2(2y)= (2)(12)
6x+3y=21
Multiply 2 by -2
−6x −4y = (−2)(12)
6x+3y=21
Multiply -2 by 12
−6x−4 y=−24
X 6x+3 y=21
-y = -3
Multiply each term in -y = -3 by -1.
(-y) ⋅ -1 = (-3) ⋅ -1
Multiply -1 by -1
1y = (-3) ⋅ -1
Multiply y by 1
y= (-3) ⋅ - 1
Multiply -3 by -1
y= 3
Substitute the value found for y into one of the original equations, then solve for x.
−6x −4⋅3=−24
Multiply −4 by 3.
−6x−12=−24
Move all terms not containing x to the right side of the equation.
Add 12 to both sides of the equation.
−6x = −24+12
Add −24 and 12.
−6x=−12
Divide each term by −6 and simplify.
Divide each term in −6x = −12 by −6.
-6x = -12
-6 = -6
Cancel the common factor of −6.
Divide x by 1.
−12
x= -6
Divide −12 by −6.
x=2
The solution to the independent system of equations can be represented as a point.
(2,3)
Equation Form:
x=2, y=3
Debra has two scarves. One is square and each side is 32 inches long. The other is rectangular and is 48 inches long and 20 inches wide. Which statements about the two scarves are correct? Choose all that apply.
The question asks about the geometrical properties of two scarves, one square and one rectangular. The area of the square scarf is 1024 square inches and that of the rectangular one is 960 square inches. Additionally, the square scarf has a side length of 32 inches and the rectangular scarf has lengths of 48 and 20 inches.
Explanation:The subject of the question being asked is Mathematics. Specifically, it deals with the concepts of area and perimeter for square and rectangular shapes. For the square scarf, since all sides are equal and each one is 32 inches, we calculate its area by squaring one side (32*32), yielding an area of 1024 square inches. Its perimeter (the total length of the boundary) is 4*32 i.e., 128 inches.
For the rectangular scarf, its area is determined by the formula length*width, so 48*20 equals 960 square inches. Its perimeter is the sum of all sides (2*length + 2*width) equates to 2*48+2*20 = 136 inches.
Therefore, looking at the given options, the statement regarding both the area and the length of a side (option d) is correct, as we computed the area and side length for both scarves, along with the incorrect calculations provided.
Learn more about Area and Perimeter here:https://brainly.com/question/11957642
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By what percent will the product of two numbers decrease if one of them is decreased by 20% and the other is decreased by 60%?
Answer:
We have:
P1 = a x b
If a decreases by 20% and b decreases by 60%, then we have:
P2 = a x (100 - 20)/100 x b x (100 - 60)/100
= a x 80/100 x b x 40/100
= a x b x 8/25
=> P1 - P2 = ab - (8/25)ab = (17/25)ab
=> If a decreases by 20% and b decreases by 60%, product of a and b would decrease 17/25 = 0.68%
Hope this helps!
:)
Answer:
68
Step-by-step explanation:
RSM again
A square floor tile has a diagonal that is 19 inches long. If x is the length of a square, write an equation that shows the relationship between the lengths of the sides and the diagonal.
The equation that shows the relationship between the lengths of the sides and the diagonal is 2[tex]x^2[/tex] = [tex]d^2[/tex] where x is the length of the side and d is the length of the diagonal.
In a square, the diagonal divides the square into two congruent right triangles. By the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the lengths of the other two sides.
Let x be the length of one side of the square, and d be the length of the diagonal. According to the Pythagorean theorem, we have:
[tex]\[ x^2 + x^2 = d^2 \][/tex]
Simplifying:
2[tex]x^2[/tex] = [tex]d^2[/tex]
This equation represents the relationship between the length of the sides (x) and the length of the diagonal (d) of the square tile.
Which integer represents this situation?
A skydiver jumped out of a plane at an elevation of 1,600 feet.
0
1,600
-1,600
The Answer of the question is "B" or 1,600
Final answer:
The correct integer representing the skydiver's elevation is +1,600 feet. This positive value indicates that the skydiver is above the ground level when they jump from the plane.
Explanation:
To determine which integer represents a skydiver's elevation after jumping out of a plane at 1,600 feet, consider the direction of the elevation change relative to the ground. If we have our origin at the ground level and define upward as positive, then a skydiver jumping out of a plane is moving from a positive elevation down towards the ground. Therefore, their starting elevation is a positive value.
In this context, the appropriate integer to describe the skydiver's starting elevation of 1,600 feet is +1,600, and not 0 or -1,600. No elevation would be represented by 0, and a negative elevation value would imply that the skydiver is below the ground level, which is not the case at the start of the skydive.
|BRAINLIEST|
Aisha divides 1/5 meter of ribbon into 2 equal pieces. What is the length of each piece of ribbon? Enter your answer as a fraction in simplest form by filling in the boxes.
Answer:
24
Step-by-step explanation:
Answer:
1/10
Step-by-step explanation:
1/5 divided by 2 = 1/5 * 1/2
We have to flip 2/1 around, so you get 1/2
So 5*2=10
The answer is 1/10
Hope this is helpful :3
Re-write the equation after you distribute
and combine all the like terms.
12-4(-3x+5)-8x=20
Look at the attached picture ⤴
Hope it will help u...
Johanna’s parents give her $10 per week for lunch money. She cannot decide whether she wants to buy or pack her lunch. If a hot lunch at school cost $2, write and solve an inequality to finding the maximum number of times per week Johanna can buy her lunch.
Please help me do this question
Answer:
5
Step-by-step explanation:
easy 6th-grade math question
Answer:
The answer has to be 4
Step-by-step explanation:
x is greater than 1/4
A hat contains four balls. The balls are numbered 2, 4, 4, and 5. One ball is randomly selected
and not replaced, and then a second ball is selected. The numbers on the two balls are added
together.
A fair decision is to be made about which of three sizes of ice cream cone will be ordered, using
the sum of the numbers on the balls. The sizes are small, medium and large.
Which description accurately explains how a fair decision can be made in this situation?
If the sum is 6 or 7 small cone will be ordered. If the sum is 8medium cone will be ordered. If the sum is 9, a large cone will be ordered
If the sum is 6 or 9. a small cone will be ordered If the sum is 7 a medium cone will be ordered If the sum is 8 large cone will be ordered
the sum is 6, a small cone will be ordered . the sum is 7 or 8 , a medium cone will be ordered. If the sum is 9, a large cone will be ordered.
If the sum is 6, a small cone will be ordered . If the sum is 7 or 9, a medium cone will be ordered If the sum is 8 a large cone will be ordered
Answer:
C) If the sum is 6, a small cone will be ordered . the sum is 7 or 8 , a medium cone will be ordered. If the sum is 9, a large cone will be ordered
Step-by-step explanation:
If the sum is a 6: (2+4) or (4+2)
P(6) = (2 is first picked)(4 is picked next) + (4 is first picked)(2 is picked next)
[tex] P(6)= (\frac{1}{4})(\frac{2}{3}) +(\frac{2}{4})(\frac{1}{3})[/tex]
[tex] P(6) =\frac{2}{12} + \frac{1}{6} = \frac{1}{3} [/tex]
If the sum is a 7: (2+5) or (5+2)
P(7) = (2 is first picked)(5 is picked next) + (5 is first picked)(2 is picked next)
[tex] P(7)= (\frac{1}{4})(\frac{1}{3}) +(\frac{1}{4})(\frac{1}{3})[/tex]
[tex] P(7) =\frac{1}{12} + \frac{1}{12} = \frac{1}{6} [/tex]
If the sum is a 8: (4+4)
[tex] P(8)= (\frac{2}{4})(\frac{1}{3})=\frac{1}{6}[/tex]
If the sum is a 9: (4+5) or (5+4)
P(9) = (4 is first picked)(5 is picked next) + (5 is first picked)(4 is picked next)
[tex] P(9)= (\frac{2}{4})(\frac{1}{3}) +(\frac{1}{4})(\frac{2}{3})[/tex]
[tex] P(9) =\frac{1}{6} + \frac{1}{6} = \frac{1}{3} [/tex]
[tex] P(6) = \frac{1}{3} [/tex]
[tex] P(7) = \frac{1}{6} ;P(8) = \frac{1}{6} [/tex]
[tex]P(7) or P(8) = \frac{1}{6} + \frac{1}{6} = \frac{1}{3} [/tex]
[tex] P(9) = \frac{1}{3} [/tex]
Therefore, if the sum is 6, a small cone will be ordered . the sum is 7 or 8 , a medium cone will be ordered. If the sum is 9, a large cone will be ordered
Tyson saved 500 dollars for a week-long vacation. He did not keep close track of how much he spent the first three days. On the fourth day, he had 225 dollars. Write an equation to represent the amount he spent in the first three days.
A. 500 − x = 225
B. 500 + 225 = x
C. 225 − x = 500
D. 500x = 225
E. none of the above
Which one ??
Answer: A 500 - x =225
Step-by-step explanation:
500 - x =225 X=275
Which triangle can be solved using the law of sines?
The triangle C can be solved using the law of sines.
What is the law of sines?
'The law of sine or the sine law states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.'
According to the given problem,
We know,
Law of sines = [tex]\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}[/tex]
In triangle C,
Third angle = 180 - ( 70 + 30 )
= 180 - 100
= 80°
⇒ [tex]\frac{10}{sin30 }= \frac{b}{sin70} =\frac{c}{sin80}[/tex]
⇒ [tex]\frac{10}{sin30}= \frac{b}{sin70}[/tex]
⇒ 20 × 0.9396 = b
⇒ b = 18.8 m
⇒ [tex]\frac{10}{sin30}=\frac{c}{sin80}[/tex]
⇒ 20 × 0.9848 = c
⇒ c = 19.7 m
Hence, we can conclude that tringle C can be solved using the law of sines.
Learn more about the law of sines here: https://brainly.com/question/17289163
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Answer:
D: The fourth one
Step-by-step explanation:
The Law of Sines can be used to solve for the missing lengths or angle measurements in an oblique triangle. An oblique triangle is a triangle where two of the angles and one of the sides are known.
Solve for z -
-4.75 = z/2 (z/2 is a fraction)
z = ____
Answer:
z= -9.5
Step-by-step explanation:
To solve for z, we need to get z by itself.
-4.75=z/2
z is being divided by 2. To undo this, multiply both sides by 2, since multiplication is the opposite of division. This will cancel out the 2 on the right, and leave z by itself.
2*-4.75=z/2*2
-9.5=z
So, z= -9.5
Final answer:
To solve for z in the equation -4.75 = z/2, multiply both sides by 2, which yields z = -9.5
Explanation:
To solve for z in the equation -4.75 = z/2, we need to isolate z. We can do this by multiplying both sides of the equation by 2. Doing so gives us:
-4.75 × 2 = (z/2) × 2
-9.5 = z
So, z = -9.5
Bryna has $300 to open a checking account. She wants an account with the least amount of fees. She does not plan on using an ATM and her employer offers direct deposit.
Answer:
its c
Step-by-step explanation:
hope i helped :]
Answer:
answers c
Step-by-step explanation:
because i took the test
The circle at the right represents a planet. The radius of the planet is about 6300 km. Find the distance d to the horizon that a person can see on a clear day from the following height h above the planet.
h=4 km
Answer:
224.54 km
Step-by-step explanation:
A right triangle is formed, where h + r = 4 + 6300 = 6304 km is the hypotenuse, r = 6300 km is one leg and d is the other leg. By Pythagorean theorem:
6304² = 6300² + d²
d² = 6304² - 6300²
d = √50416
d = 224.54 km
Answer: 221.8
Step-by-step explanation: Because I followed the one below and it was wrong
Order each set of integers from greatest to least
(8, 43, -25, 12, -14, 3)
(-8, 32, 55, -32, -19, -3)
(-100, -89, -124, -69, -52)
(6, 17, -20, -19, 26)
The ordered sets are: (43, 12, 8, 3, -14, -25), (55, 32, -3, -8, -19, -32), (-52, -69, -89, -100, -124), and (26, 17, 6, -19, -20).
To order each set of integers from greatest to least, we start by identifying the largest integer in each set and then follow with the next largest until we reach the smallest integer. Let's order the provided sets one by one:
For the set (8, 43, -25, 12, -14, 3), the order from greatest to least is: 43, 12, 8, 3, -14, -25.
The set (-8, 32, 55, -32, -19, -3) ordered from greatest to least is: 55, 32, -3, -8, -19, -32.
Ordering the set (-100, -89, -124, -69, -52) from greatest to least gives us: -52, -69, -89, -100, -124.
Finally, the set (6, 17, -20, -19, 26) ordered from greatest to least is: 26, 17, 6, -19, -20.
By comparing the positive and negative integers, we determine their placement in the sequence from greatest to smallest.
I will mark brainliest!
x⁹/x²
A. x¹¹
B. x⁷
C. 7
D. x⁵
Help me!
y=25x+35
Describe what this graph would look like. Where would it start? How would the slope be counted out?
Answer:
The equation is in the form y=mx+b, where m=slope, b=y-intercept.
The y-intercept is 35: so the line goes through the y-axis at (0,35).
The slope is 25: so we need to count out the slope as rise over run, or 25 up and 1 to the right, starting from the y-intercept.
2 + 2x = 14
Show work please
Answer:
x=6
Step-by-step explanation:
2+2x=14
-2 -2
2x=12
2x/2=12/2
x=6
Answer:x=6
Step-by-step explanation:
14-2=12
12 divided by 2= 6
2+12=14
Peter needs to wash 20 plates, 30 pieces of silverware, and 10 cups. Then he
needs to dry them all. How many items will he touch, if he touches each of them
twice, once to wash and once to dry?
dishes were touched
Answer:
120
Step-by-step explanation:
Answer:
120 times
Step-by-step explanation:
20 + 30 + 10 = 60
60 * 2 = 120
a location in space represented by a dot is called
Answer:
Point
Step-by-step explanation:
A point specific location or place, seen as a spatial position, it is represented by a dot.
number of data values: 58 sum of the data values: 1862.338 Calculate the average (arithmetic mean) from the given number of data values and the sum of the data values.(rounded to the nearest tenth)
Answer:
32.1
Step-by-step explanation:
To find the average, take the sum and divide by the number of numbers
1862.338 / 58
32.10927586
Round to the nearest tenth
32.1
If C is the midpoint of AB and AB = 20, what is AC?
05
10
20
40
Answer:
If C is the midpoint of AB, and AB = 20, then AC = (1/2)(20) = 10.
write the equation of a Line In slope-intercept form with the Y intercept at the origin and a slope of 2
Slope Intercept Form: y = mx + b
Slope: 2
Y-Intercept: 0
Therefore, the slope intercept form of the given values would look like this:
y = 2x + 0 or just y = 2x
Have a great day!
Answer:
y=2x+0
Step-by-step explanation:
y=mx+b, your slope (m) is 2 and your y intercept (b) is 0, so just plug it in