Answer:
one solution
Step-by-step explanation:
8x-4=10
Add 4 to each side
8x - 4+4 = 10+4
8x = 12
Divide by 8
8x/8 = 12/8x
x = 3/2
Answer:
one solution
Step-by-step explanation:
[tex]8x - 4 = 10 \\ 8x = 10 + 4 \\ 8x = 14 \\ \frac{8x}{8} = \frac{14}{8} \\ x = \frac{7}{4} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Which equation has roots -2 and 3? A. y=x2+x−6 B. y=x2−x−6 C. y=x2−5x−6 D. y=x2+5x−6
Answer:
The answer is B.
Step-by-step explanation:
You have make y equals to 0 and solve each and every equation one by one :
Option A,
[tex] {x}^{2} + x - 6 = 0 \\ {x}^{2} + 3x - 2x - 6 = 0 \\ x(x + 3) - 2(x + 3) = 0 \\ (x - 2)(x + 3) = 0 \\ x = 2 \: or \: - 3[/tex]
Option B,
[tex] {x}^{2} - x - 6 = 0 \\ {x}^{2} - 3x + 2x - 6 = 0 \\ x(x - 3) + 2(x - 3) = 0 \\ (x + 2)(x - 3) = 0 \\ x = - 2 \: or \: 3[/tex]
Option C,
[tex] {x}^{2} - 5x - 6 = 0 \\ {x}^{2} + x - 6x - 6 = 0 \\ x(x + 1) - 6(x + 1) = 0 \\ (x - 6)(x + 1) = 0 \\ x = 6 \: or \: - 1[/tex]
Option D,
[tex] {x}^{2} + 5x - 6 = 0 \\ {x}^{2} - x + 6x - 6 = 0 \\ x(x - 1) + 6(x - 1) = 0 \\ (x + 6)(x - 1) = 0 \\ x = - 6 \: or \: 1[/tex]
Solve the system of equations.
Step-by-step explanation:
use substitution method so it will now look like
8x + 5(-4x) = 24
8x + (-20x) = 24
-12x = 24 (divide both sides by 12)
-x = 2 (multiply both sides by negative 1)
x = -2
substitute to find y
y= -4(-2)
=8
Answer:
[tex]x=-2\\y=8[/tex]
Step-by-step explanation:
[tex]8x+5y=24\\y=-4x[/tex]
We already have y in terms of, so the easiest way to do is by plugging that value in the first equation.
[tex]8x+5y=24\\8x+5(-4x)=24\\8x-20x=24\\-12x=24\\x=\frac{24}{-12} \\x=-2[/tex]
After having found the value of x, replace it in the second equation to find y.
[tex]y=-4(-2)\\y=8[/tex]
Consider the function represented by the following table.
The function is increasing
linear
quadratically
exponentially
Answer:
The answer is exponentially.
Step-by-step explanation:
Because your X goes up by one while your f(x) goes up by three for every X, which makes it exponential.
Answer:
exponentially
Step-by-step explanation:
The algebraic expression 4x2 + 3Vx+5 is a polynomial
Please select the best answer from the choices provided
T
F
Answer:
In this problem, I can not tell what is V, so I will answer it in a general way.
A polynomial is something of the form:
a*x^5 + b*x^4 + c*x^3 + d*x^2 + e*x + f
a, b, c, d, e, and f are real numbers and constant.
Where the degree of the polynomial is equal to the greatest power (in this case 5).
You write:
4x^2 + 3Vx + 5
Now, if V is a real number, then we have that this is a polynomial of degree 2.
Because we can write this as:
4*x^2 + (3V)*x + 5
So the answer is true.
Now, if V is a variable or an operation, the answer will be false.
Determine if line AB is tangent to the circle.
Answer:
Is a tangent
Step-by-step explanation:
* Great question by the way *
~ By definition, a tangent to circle is a straight line, presently perpendicular to a radius if one. In this case tangent AB should be perpendicular to the radius. If we were to call the center O, we would say AB should be perpendicular to OA. ~
1. Now let us say at the moment that AB is a tangent. If that is so, it should be that m∠A = 90 degrees ( ° ), provided AB is ⊥ to OA by definition.
2. Now the triangle ABO is a right triangle, and with that is should be that Pythagorean Theorem is applied. This can help us prove if AB is a tangent or not. If Pythagorean Theorem is not applicable it would mean ABO is not a right angle triangle, that AB is not ⊥ to OA, and thus can't be a tangent.
3. Let us say x ⇒ side OA, and that side BO = 9 + 8 + 17:
AB^2 + OA^2 = BO^2,
15^2 + x^2 = 17^2,
x = 8
4. Now there are two radii present, OA is only one of them. As radii are ≅, OA = other radii, 8 = 8
5. This proves that Pythagorean Theorem is applicable, that ABO is a right triangle, that m∠A = 90°, and that by definition AB is a tangent
George wrote an integer. The opposite of George's integer is - 53. Which of these statements about George's integer must be true? The integer is 53. II. The integer has an absolute value of - 53. III. The integer is - 53. IV. The integer has an absolute value of 53. A I and II B II and IV C II and III D I and IV
Answer:
D I and IV
Step-by-step explanation:
The opposite of an integer "x" is "-x".
I. The integer is 53. → Since the opposite of George's integer is -53, the integer is -(-53) = 53
II. The integer has an absolute value of - 53. → The absolute value of 53 is 53.
III. The integer is - 53. → It was 53, found in I.
IV. The integer has an absolute value of 53. → It has an absolute value of 53, found in II.
If this trend continues, in which week will she give a 12-minute speech?
The week that Alyssa gives a 12-minute speech is week ____
What the answer
Help ASAP
Answer:
420
Step-by-step explanation:
if we add 30 to each of the length of speech, we get 420 seconds
A helicopter flying 3,590 feet above the ground spots the top of a 150-foot tall tower. The angle of depression from the helicopter to the top of the building is 83 degrees. How far must the helicopter fly to be directly over the tower?
Answer:
[tex]x\approx 422.4[/tex]
Step-by-step explanation:
Assuming 'x' the distance helicopter needs to fly to be directly over the tower.
It is given that a helicopter flying 3590 feet above ground spots the top of a 150-foot tall cell phone tower at an angle of depression of 83°.
From attachment that helicopter, tower and angle of depression forms a right triangle.
As height of tower is 150 feet, so the vertical distance between helicopter and tower will be: 3590-150=3440 feet.
Also, the side with length 3590-150 feet is opposite and side x is adjacent side to 83° angle.
As the tangent relates the opposite side of a right triangle to its adjacent side, so we will use tangent to find the length of x.
[tex]\text{Tan}=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]
[tex]\text{Tan}(83^o)=\frac{3590-150}{x}\\[/tex]
[tex]\text{Tan}(83^o)=\frac{3440}{x}[/tex]
[tex]x=\frac{3440}{\text{Tan}(83^o)}[/tex]=>[tex]x=\frac{3440}{8.14434}[/tex]
[tex]x\approx 422.4[/tex]
Thus, the helicopter must fly approximately 422.4 feet to be directly over the tower.
The equation (x-1)^2 + (y+1)^2 = r^2 represents circle J. The point D (0,3) lies on the circle. What is r, the length of the radius of circle J?
Answer:
C. √17
Step-by-step explanation:
The radius can be found by solving the given equation at the given point.
__
(x -1)^2 + (y+1)^2 = r^2 . . . . . . . given equation
(0 -1)^2 + (3 +1)^2 = r^2 . . . . . . using (x, y) = (0, 3)
1 +16 = r^2 . . . . . . . . . . . . simplify
r = √17 . . . . . . . take the square root
Help!! Can someone put me out my misery
Answer: 0.14
Step-by-step explanation:
1) Find the total #of seniors. To do this add up 25+5+5 = 35.
2)Since we know the number of seniors that work just do 5/35. This simplifies to 0.14 rounded to the nearest hundreth.
Factor the expression below.
x² - 64
A. (x + 16)(x - 4)
B. (x-8)(x-8)
C. (x+3)(x-8)
D. (x - 16)(x - 4)
help
Answer:
( x + 8 )( x - 8 ); None of the above
Step-by-step explanation:
Apply quadratic formula a^2 - b^2 = ( a + b )( a - b );
x^2 - 64 ⇒
x^2 - 8^2 ⇒
Answer: ( x + 8 )( x - 8 ); None of the above
The recommended density of a rectangular aquarium is 7 fish per cubic foot of water. If the owner of the aquarium follows the recommended density guidlines and has 42 fish, what is the height of the aquaruim with a length of 3 feet and a width of 1 foot?
Answer: 2 feets
Step-by-step explanation:
Recommended density = 7 fish/ ft^3
If recommended density guideline is followed:
Number of fishes in aquarium = 42
Length of aquarium = 3ft
Width = 1ft
Height =?
Volume of aquarium = Length × width × height
Volume = 3 × 1 × h = (3ft^2 × h)
Therefore ;
If
1ft^3 = 7 fishes
x ft^3 = 42 fishes
Cross multiply
7(x)ft^3 = 42 fishes
x ft^3 = (42÷7)
x ft^3 = 6
Therefore volume of the aquarium with 42 fishes is 6ft^3
Volume = (3ft^2 × h)
6ft^3 = 3ft^2 × h
h = (6ft^3) / (3ft^2)
h = 2ft
State the domain and range of the relation {(1,2)8,16, (2,4), (4,8), (8,16)}
Answer:
Domain: 1,2,4,8
Range: 2,4,8
Step-by-step explanation:
The Domain is always the "X" or input. Range is always the "Y" or output. As you can see here, there are same numbers in the domain and range. You put that as one number. Therefore, the above numbers are the answer.
Fuel x costs $2 per gallon and fuel y costs $3 per gallon. You have at most $18 to spend on fuel. Write a system of linear inequalities to represent this situation.
The answer is :
x + y ≤ 14
2x + 3y ≤ 18
The inequality for the given statement will be equal to x +y ≤ 18 or,
2x + 3y ≤ 18.
What is inequality?Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.
As per the given information in the question,
The price of fuel x = $2/gallon
The price of fuel y = $3/gallon
Total money to spend on fuel = $18
Then, the inequality in this situation will be,
x +y ≤ 18 or,
2x + 3y ≤ 18.
To know more about Inequality:
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PLEASE HELP‼️
You deposit $400 in an account that pays 5% annual interest How long will it take for the balance to double for each frequency of compounding?
a. annually
b. quarterly
c. daily
d. continuously
I NEED AN ANSWER for ALL 4‼️‼️‼️‼️‼️
Answer: hi lissette
Step-by-step explanation:
Answer:
Step-by-step explanation:
Annually: 14.21 years
Quarterly: 13.95 years
Daily: 13.86 years
Continuously: 13.86 years
:)
The perimeter of a rectangle is 16 inches. The equation that represents the length of the rectangle and a represents the width of the rectangle.which means is possible for the length of the rectangle?
Answer and Step-by-step explanation:
As we know that
[tex]Perimeter\ of\ rectangle = 2\times (length + breadth)[/tex]
Given that
The perimeter of a rectangle is 16 inches i.e length and breadth should be measured by that way in which the perimeter of rectangle comes 16 inches
We considered four way of measuring the perimeter
Length Width Perimeter
1 7 16
2 6 16
3 5 16
4 4 16
Simple it is as we multiply the 8 by 2 it gives 16 inches and the same is displayed above
So there are four combinations of 8 how it came.
Answer:
A
Step-by-step explanation:
Edgenuity
A prism has an isosceles triangle bases with leg lengths of 5 inches 5 in and 8 inches and a height of 3 in the distance between the bases is 12 in find the surface area show your work
Answer:
240 Square Inches
Step-by-step explanation:
See the attached diagram
The Isosceles Triangle based prism consists of two triangles of equal area, to rectangles of equal area and the rectangle at the base.
Therefore:
Surface Area of the Prism =Surface Area of Two Triangular Base+Area of three Rectangles
Area of one Triangular Base=0.5 X 8 x 3 =12 Square inches
Area of Rectangle 1=5 x 12 =60 Square Inch
Area of Rectangle 2=5 x 12 =60 Square Inch
Area of Rectangle 3=8 x 12 =96 Square Inch
Therefore:
Surface Area of the Prism=2(12)+2(60)+96
=240 Square Inches
Answer:
240 in²
Step-by-step explanation:
The prism has an isosceles triangle with the following data:
- Two lengths = 5 inches
- Other length = 8 inches
- Height = 12 inches
Since the prism consist of 2 triangle bases and three rectangular faces, the surface area (SA) of the prism can be calculated as follows:
[tex] SA = SA_{b1} + SA_{b2} + SA_{f1} + SA_{f2} + SA_{f3} [/tex]
Where:
[tex]SA_{b1}[/tex] and [tex]SA_{b2}[/tex] are the surface areas of the two triangle bases.
[tex]SA_{f1}[/tex], [tex]SA_{f2}[/tex] and [tex]SA_{f3}[/tex]: are the surface areas of the three rectangular faces.
The surface area of the triangle bases can be calculated as follows:
[tex] SA_{b1} = SA_{b2} = \frac{b*h}{2} [/tex]
Where:
b: is the base = lenght of 8 inches
h: is the height = 3 inches
[tex] SA_{b1} = SA_{b2} = \frac{8*3}{2} = 12 in^{2} [/tex]
Now, we need to find the surface area of the rectangular faces using the following data:
Rectangular face 1 = rectangular face 2:
- One side = 12 inches
- Other side = 5 inches
Rectangular face 3:
- One side = 12 inches
- Other side = 8 inches
Hence, the SA of the rectangular face 1 and rectangular face 2 is:
[tex] SA_{f1} = SA_{f2} = 12*5 = 60 in^{2} [/tex]
And the SA of the rectangular face 3 is:
[tex] SA_{f3} = 12*8 = 96 in^{2} [/tex]
Finally, the SA of the prism is:
[tex] SA = SA_{b1} + SA_{b2} + SA_{f1} + SA_{f2} + SA_{f3} [/tex]
[tex] SA = 2*12 + 2*60 + 96 = 240 in^{2} [/tex]
Therefore, the surface area of the prism is 240 in².
I hope it helps you!
If you take a number, times by 3 then subtract 6. You get the same as if you took the number, times by 7 then subtract 2. What is the number?
Answer:
-1
Step-by-step explanation:
3x-6=7x-2
Collect the like terms
3x-7x=6-2
-4x = 4
x = -1
Simon is building a ramp in the shape of a triangular prism. He plans to paint each face of the ramp. What is the total surface
area of the ramp?
5 ft
00
ft
3 ft
68 square feet
96 square feet
108 square feet
114 square feet
Answer:
Option (3)
Step-by-step explanation:
The ramp shown in the figure is in the shape of a triangular prism.
Therefore, total surface area of this ramp = Area of the triangular sides + Area of the base + Area of the vertical side + Area of the slanting side
Area of the triangular sides = [tex]2[\frac{1}{2}(Base)\times (h)][/tex]
= bh
= 4×3
= 12 square feet
Area of the rectangular base = Length × Width
= 4 × 8
= 32 square feet
Area of the vertical side = Length × Width
= 3 × 8
= 24 square feet
Area of the slanting side = Length × width
= 8×5
= 40 square feet
Total surface area = 12 + 32 + 24 + 40
= 108 square feet
Option (3) will be the answer.
Answer:
C (108)
Im on the test right now ~edge~
Express each equation in the form y = mx + b: 5x + y – 3 = 0
Answer:24
Step-by-step explanation:
PLEASE! I WILL MARK YOU BRAINIEST!!!!
In ΔTUV, the measure of ∠V=90°, VT = 45 feet, and TU = 90 feet. Find the measure of ∠T to the nearest degree.
Answer:
Step-by-step explanation:
60
For what values of θ is cosθ>−sinθ when π/2≤θ<3π/2
Answer:
θ>3π/4Step-by-step explanation:
Given the inequality cosθ>−sinθ, to get the value of [tex]\theta[/tex] that falls within the range π/2≤θ<3π/2, the following steps must be followed;
Step 1;
Divide both sides by cosθ;
cosθ/cosθ>−sinθ/cosθ
1>−sinθ/cosθ
1>-tanθ
Step 2;
Multiplying both sides by -1
-1<tanθ
tanθ>-1
θ>[tex]tan^{-1} -1[/tex]
θ>-45°
Since tan is negative in the second and 4th quadrant;
In the second quadrant θ>180-45
θ>135°
θ>3π/4
in the 4th quadrant, θ>360-45
θ>315°
θ>9π/4
The only value that falls within the range is at when θ>3π/4
A map shows the road between the cities of Saxon and Melbeck. If the distance on the map between the two cities is 7 inches, what is the real distance? The scale is 2 inch:5 miles.
Answer:
17.5
Step-by-step explanation:
2:5
7 divided by 2 is 3.5
The difference is 3.5, now times each side by 3.5
7 inches:17.5 miles
What percent is 60 is 42
Answer:
The percentage is 70%
Answer:
the answer is 70%
Step-by-step explanation:
Let's consider 42 as x% of 60.
x% of 60 = 42 (x% means x/100)
(x/100) * 60 = 42
60x/100 = 42
60x = 42 * 100 = 4200
x = 4200
Last Wednesday, students could choose ham or turkey sandwiches for lunch. The cafeteria made 50 sandwiches in all, 5 of which were turkey. What percentage of the sandwiches were turkey sandwiches?
Answer:
90%
Step-by-step explanation:
50%×2 100%
5%×2 10%
45%×2 90%
An observer stationed 20 m away from a tall
of elevation of the top of the building is 68° and the angle of depression of
its foot is 50 degrees. Calculate the height of the building.
Answer:
Step-by-step explanation:I don't say you must have to mark my ans as brainliest but my friend if it has really helped you plz don't forget to thank me...
A recent study examined the association between high blood pressure and increased risk of death from cardiovascular disease. There were 2676 men with low blood pressure and 3338 men with high blood pressure. In the low-blood-pressure group, 21 men died from cardiovascular disease; in the high-blood-pressure group, 55 died.
Compute the 95% confidence interval for the difference in Proportions.
Do the study data confirm that death rates are higher among men with high blood pressure?
State hypotheses, carry out a significance test, and give your conclusions.
Answer:
hyolpotheses people death ate 90 and the significance is their on their hand pls mark me as the brainliset hope it helps you
If A:B=6:7 and B:C=14:9, then what is A:C in its simplest form
Answer:
4/3
Step-by-step explanation:
Question :
[tex]\frac{A}{B} = \frac{6}{7}[/tex]
[tex]\frac{B}{C} = \frac{14}{9}[/tex]
------------------------
try to make B same number with 2 fraction
[tex]\frac{A}{B} = \frac{6}{7} = \frac{12}{14}[/tex]
so => B = 14
A = 12
C = 9
[tex]\frac{A}{C} = \frac{12}{9} = \frac{4}{3}[/tex]
Hope this helps ^-^
Target pays $13 per pair of sunglasses and uses 30% markup rate. What is targets selling price for the sunglasses?
Answer:
$16.90
Step-by-step explanation:
First you need to find how much the markup is in dollars.
Multiply 13(0.3).
This will give you 3.9.
Then you add this to the original cost of the glasses.
13+3.9= 16.9.
So, the final cost of the glasses is $16.90.
explain what probability is
Answer:
Probability tells you the likelihood of an event happening