[tex] \frac{15}{4} - 7x = 9 \\ \\ \frac{15}{4} - 9 = 7x \\ \\ 7x = \frac{15 - 36}{4} \\ \\ 7x = \frac{ - 21}{4} \\ \\ x = \frac{ - 21}{4 \times 7} \\ \\ x = \frac{ - 3}{4} .[/tex]
The figure below shows a square ABCD and an equilateral triangle DPC:
ABCD is a square. P is a point inside the square. Straight lines join points A and P, B and P, D and P, and C and P. Triangle D
Ted makes the chart shown below to prove that triangle APD is congruent to triangle BPC:
Statements Justifications
In triangles APD and BPC; DP = PC Sides of equilateral triangle DPC are equal
In triangles APD and BPC; AD = BC Sides of square ABCD are equal
In triangles APD and BPC; angle ADP = angle BCP Angle ADC = angle BCD = 90° so angle ADP = angle BCP = 60°
Triangles APD and BPC are congruent SAS postulate
What is the error in Ted's proof? (1 point)
He writes the measure of angles ADP and BCP as 60° instead of 45°.
He uses the SAS postulate instead of AAS postulate to prove the triangles congruent.
He writes the measure of angles ADP and BCP as 60° instead of 30°.
He uses the SAS postulate instead of SSS postulate to prove the triangles congruent.
Answer:
Which of the following completes Ted's proof?
In square ABCD; angle ADC = angle BCD
In square ABCD; angle ADP = angle BCP
In triangles APD and BPC; angle ADC = angle BCD
In triangles APD and BPC; angle ADP = angle BCP\
Which figures are polygons?
x
Figure A
Select each correct answer.
Figure B
O Figure A
O Figure B
O
Figure C
O
Figure D
Figure C
Figure D
Answer:
The answer is figure A, B, C, D.
Step-by-step explanation:
Because, polygon means a shape with more then 1 side, and in your pic all of the figures have more than one side, so that's the answer.
Gcf of 24x^5 - 56x^3 + 16x
Answer:
8x
Step-by-step explanation:
Greatest common factor is the factor of 24, 56 and 16. Since 16x only has the power of 1, then then the answer should be on power of 1.
Answer:
Given the 24x⁵ - 56x³ + 16x contains numbers and variables, there are two steps to finding the GCF. Find the GCF for the numeric part, then find the GCF for the variable part.
Steps to find the LCD of 24x⁵ - 56x³ + 16x
Find the LCD for the numerical part 24, - 56, 16x Find the LCD of the variable part x⁵, x³, x¹.Multiply the values with each otherFind the common factors of the numerical part: 24, −56, 16
The factors for 24 are −24,−12,−8,−6,−4,−3,−2,−1,1,2,3,4,6,8,12,24.
The factors for −56 are−56,−28,−14,−8,−7,−4,−2,−1,1,1,2,2,4,4,7,7,8,8,14,14,28,28,56,56.
The factors for 16 are −16,−8,−4,−2,−1,1,2,4,8,16.
List all the factors 24,−56,16 to find the common factors.
24:−24,−12,−8,−6,−4,−3,−2,−1,1,2,3,4,6,8,12,24−56:−56,−28,−14,−8,-7,−4,−2,−1,1,1,2,2,4,4,7,7,8,8,14,14,28,28,56,5616:−16,−8,−4,−2,−1,1,1,4,8,16The common factors for 24,−56,16 are −8,−4,−2,−1.−8,−4,−2,−1
The GCF of the numerical part is 8.
[tex]\bf{GCF_{Numerical}=8 }[/tex]
Then find the common factors for the variable part:
x⁵, x³, x
The factors for x⁵ are:
x · x · x · x · x
The factors for x³ are:
x · x · x
The factors for x¹ are:
x
List all the factors x⁵, x³, x¹ to find the common factors.
x⁵ = x · x · x · x · x
x³ = x · x · x
x¹ = x
The common factor of the variables x⁵, x³, x¹ is x.
The LCD of the variable part is x.
[tex]\bf{GCF_{Numerical}=x }[/tex]
Multiply the LCD of the numerical part 8 and the GCF of the variable part x.
8x
find the range for the given domain: {-3,-1 and 3} and the function is y=3x^2-2x+1.
Answer:
D
Step-by-step explanation:
The domain are the x values. When you plug those values into the equation, you get 34, 6, 22.
3(-3²) - 2(-3) + 1 Negative * Negative = Positive
3(9) + 6 + 1
34
3(-1²) - 2(-1) + 1
3 + 2 +1
6
3(3²) -2(3) + 1
3(9) - 6 + 1
22
A table of data is given.
x f(x)
-2 71
-1 13
0 3
1 0.6
2 0.1
Which exponential model best represents the data?
Of(x) = 3(1.2)^x
Of(x) = 2(0.3)^x
Of(x) = 2(3)^x
Of(x)=3(0.2)^x
Answer:
The choice D.
[tex]f(x) = 3 {(0.2)}^{x} [/tex]
Answer:
D
Step-by-step explanation:
Order of elimination:
1. the graph is going down exponentially. This means that the base is less than 1.
A and C are eliminated.
2. When x is equal to 0, f(x) = 3.
Substitute x for 0, and you'll find out that the only one possible is D.
J
Question 1 of 10
Each equation given below describes a parabola. Which statement best
compares their graphs?
x = 5y²
x=3y²
OA. Both parabolas open upward, and x = 3y2 is wider than
x = 5y².
B. Both parabolas open to the right, and x = 3y² is wider than x = 5y².
OC. Both parabolas open upward, and x = 5y2 is wider than
x = 3².
OD. Both parabolas open to the right, and x = 5y² is wider than x = 3y².
SUBMIT
Answer:
D
Step-by-step explanation:
x = 5y²
x = 3y²
Here x is a function of y and so the parabola is open either to right or left.
The coefficient of y² is positive. So the parabola is open to right.
Both parabolas are open to right and x = 5y² is wider than x = 3y².
the inverse of f(x)=2x-10
The inverse of the function f(x) = 2x - 10 is f-1(x) would be x/2 + 5.
Lets try to solve it,
We will be using the inverse function to solve this.
f(x) =[tex]2x - 10[/tex]
Replace f(x) with y.
[tex]y = 2x - 10[/tex]
Interchange x and y
[tex]x = 2y - 10[/tex]
Solve for y
[tex]y = (x + 10) / 2[/tex]
Replace y with f-1(x).
[tex]f-1(x) = x/2 + 5[/tex]
Thus, the inverse of the function f(x) = 2x - 10 is f-1(x) = x/2 + 5
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what is the factor each expression of x2 - 2x
Answer:
x(x - 2)
Step-by-step explanation:
x² - 2x ← factor out x from each term
= x(x - 2)
I'm having problems because our teacher is making us do this monstersety 391.92x10372.45-918+12.5
Answer:
4064265.104
Step-by-step explanation:
Use PEMDAS :
Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
We only have multiplication and addition/subtraction to do. Multiplication and Division can go in either order depending on which comes first reading left to right. It's the same with Addition and Subtraction: we will first subtract 918 and then add 12.5.
Let's start by Multiplying. 391.92 x 10372.45 = 4065170.604.
Now, subract 918. 4065170.604-918 = 4064252.604.
Finally, add back 12.5. 4064252.604. +12.5 = 4064265.104 !
Please help!!!!!!!!!!!!!!!!!!!!!
The values for y are i, 0, √3 and 2√2
What is function?
An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
Given:
F(x)= y = √(x-5) -1
At x=5,
y= √(5-5) -1
y= i
At x= 6
y= √(6-5) -1
y=0
At x= 9
y= √(9-5) -1
y=√3
At x= 14
y= √(14-5) -1
y=√8= 2√2
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I WILL GIVE BRAINIEST
The measure of angle N is (3x + 18) degrees . The measure of angle B is (2x + 142) degrees. If angle N is the supplement of angle B, what is the measure of the two angles?
Answer:
N: 30 B:150
Step-by-step explanation:
Supplementary angles add up to 180 meaning their equations must also add up to 180:
(3x + 18) + (2x + 142) = 180
Solve for x:
5x + 160 = 180
5x = 20
x = 4
Substitute 4 in all values of x to obtain the measure of the two angles:
N: 3(4) + 18 = 30
B: 2(4) + 142 = 150
What number is the arrow pointing at?
Answer:
170
Step-by-step explanation:
each little mark is adding 20 to the 100 you see there and because the arrow is pointing somewhere in between two of the marks, it means it's just adding 10. Now you have to add 100 + the marks + 10
* remember you have three marks and each one of them is equal to 20 so when you add them, you get 60.
100 + 60 + 10 = 170
which expression is equivalent to 354x + 332, If x=0?
Answer:
10x + 332
when, x=0
Step-by-step explanation:
Please give me brainlist.
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar. Consider the given table. x -2 2 5 9 f(x) 5 17 26 ?
The "?" in the table represents the number_because the average rate of change on every interval of the function is_ .
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The value of f(x) when the value of x is 9 is 38.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The given data points are in a linear relation, therefore, if we find the slope of the line on which these data points will be located. Then the slope will be,
m = (17-5)/(2+2) = 3
Now, equate any point and the slope in the general equation of line, therefore, the equation will be,
y = 3x + c
17 = 3(2) + c
17 - 6 = c
c = 11
Further, the value of f(x) when the value of x is 9 will be,
f(x) = 3x + 11
f(9) = 3(9) + 11
f(9) = 38
Hence, the value of f(x) when the value of x is 9 is 38.
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The most efficient first step in the process to factor the trinomial 2x^3 - 18x^2 + 40x is:
A. Factor out 2
B. Factor out -1
C. Factor out 2x
D. Factor out (x-5)
Considering the common factor, the most efficient way to factor the expression 2x³ - 18x² + 40x is given by:
C. Factor out 2x.
How to factor an expression?The most efficient way to factor the expression is factoring out the common factor.
In this problem, the expression is:
2x³ - 18x² + 40x
We have that:
The common factor of 2, -18 and 40 is 2.Of x³, x² and x, it is of x.Hence the common factor is of 2x, which means that option C is correct.
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smone answer ASAP please.
The measure of the angle x is 117 degrees
Line geometry.To determine the value of x in the given diagram, we will use the alternate angles theorem
The value of x is expressed as shown;
p + q= x
If the value of p = 51, then;
51 + q. = x
Determine the value of. q
q = 108 - 42
q = 66
Determine the value of x
x = 66 + 51
x = 117 degrees
Hence the measure of the angle x is 117 degrees
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What is this Simplify as √16y¹6
Answer:
[tex]6y^1^6[/tex]
Step-by-step explanation:
I hope this has Helped :)
Topic: Speed
Subject: Mathematics
Answer the Question
Q1: Express each of the following in km/h
a: 8.4 km/min b: 315 m/s
c: 242 m/min d: 125 cm/s
Hope this helps you
........
HELP !!!
Which of the following best describes the slope of the line below?
• A. Negative
O B. Zero
• C. Positive
D. Undefined
the cost of kg of apples is $262.50. find the cost of 25 kg of apples
Answer:
Step-by-step explanation:
cost of 25 kg =262.50x25
=6562.5
write an equation in slope intercept form of the line with the given characteristics: a) passes through (-3,0) and (-5,-3)
The equation of the line in slope-intercept form is [tex]\bf{y= \frac{3}{2} x + \frac{9}{4}} [/tex].
What is slope-intercept form?y=mx +c, where m is the slope and c is the y-interceptStepsFind the slopeSubstitute value of the slope into the equationSubstitute a pair of coordinatesSolve for cRewrite equation with value of m and cWorkingThe first step is to calculate the slope of the line.
[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
Slope
[tex] = \frac{ - 3 - 0}{ - 5 -( - 3)} [/tex]
[tex] = \frac{ - 3}{ - 5 + 3} [/tex]
[tex] = \frac{ - 3}{ - 2} [/tex]
[tex] = \frac{3}{2} [/tex]
Substitute the value of m into y= mx +c:
[tex]y = \frac{3}{2} x + c[/tex]
Next, substitute a pair of coordinates that the line passes through. Here, I will substitute (-3, 0) into the equation.
When x= -3, y= 0,
[tex]0 = \frac{3}{2} ( - 3) + c[/tex]
Find the value of c:
[tex]0 = - \frac{9}{2} + c[/tex]
[tex]c = \frac{9}{2} [/tex]
Substitute the value of c into the equation:
Thus, the equation of the line is [tex]y = \frac{3}{2} x + \frac{9}{2} [/tex].
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the area of square ABCD is 10cm2 show that x^2+6x=a where a is a constant to be found
The value of a is 1 if the area of square ABCD is 10 cm² showing that x²+6x=a where a is a constant.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
The question is incomplete.
The question is:
The area of square ABCD is 10 cm² showing that x²+6x=a where a is a constant to be found.
The missing figure is attached; please refer to the picture.
As we can see in the figure we have given a rectangle.
Area of rectangle = (3 + x)(3 + x)
10 = (3 + x)(3 + x)
or
10 = (3 + x)²
10 = 9 + 6x + x²
After rearranging:
x² + 6x = 1
We have equation:
x² + 6x = a
After comparing:
a = 1
Thus, the value of a is 1 if the area of square ABCD is 10 cm² showing that x²+6x=a where a is a constant.
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Simplify this expression.
[tex]\\\\(\sqrt{2} + \sqrt{3})(\sqrt{5} - \sqrt{7} \\A: \sqrt{5} + \sqrt{-2} \\B: \sqrt{10} + \sqrt{15} - \sqrt{14} - \sqrt{21} \\C: 2\sqrt{5} - 2\sqrt{7} \\D: 2\sqrt{5} + 3\sqrt{5} - 2\sqrt{7} - 3\sqrt{7}[/tex]
By applying algebra, radical and power properties, we find that the simplified form of (√2 + √3) · (√5 - √7) is equal to √10 + √15 - √14 - √21. (Correct choice: B)
How to simplify a product of two binomials with radical numbers
Herein we need to apply algebra and radical and power properties to simplify the expression described in the statement, whose procedure is shown below:
(√2 + √3) · (√5 - √7) Given(√2 + √3) · √5 + (√2 + √3) · (- √7) Distributive property√2 · √5 + √3 · √5 + √2 · (- √7) + √3 · (- √7) Distributive property√10 + √15 - √14 - √21 (- a) · b = - a · b/ √a · √b = √a · b/ResultBy applying algebra, radical and power properties, we find that the simplified form of (√2 + √3) · (√5 - √7) is equal to √10 + √15 - √14 - √21. (Correct choice: B)
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Answer:
B is correct
Step-by-step explanation:
Cus I said so
What is the simple interest that is missing from the table? Use the formula mc012-1.jp
$375
r
2.2%
t
3 years
$25.00
$24.75
$2,475.75
$2,500.00
The simple interest is $24.75.
What is the simple interest?The simple interest that is paid on an amount of money is a function of the amount deposited, time and interest rate.
Simple interest = amount deposited x time x interest rate
$375 x 0.022 x 3 = $24.75
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If Bob sells each fish at a profit of $1.25, how much money will he have after selling all 24 fish? Show your calculation.
Best answer receives brainliest
Answer: $30
Step-by-step explanation:
So if Bob sells his fish at a profit of $1.25 and he has 24 fish to sell then 1.25*24= 30
(I'm assuming what you mean by "how much money he will have" is profit)
Answer:
The answer is $30. remove the decimal from the price and multiply it by the amount of fish. then when you finish multiplying add the decimal back in.
Step-by-step explanation:
125
× 24
--------
500
+ 2500
-----------
30.00
If j is 53 degrees and l is 29 how much is k?
Answer:
98
Step-by-step explanation:
There are 180 degrees in a triangle.
180 - 53 - 29 = 98
6root27+root243 simplify
Answer:
6√27 + √243
6√9 x 3 + √81 x 3
6 x 3 √3 + 9√3
18√3 + 9√3
27√3
1. Find the range for the given domain: {-2, -1, and 0} and the function is y = 3x^2
2. Find the range of the given function y = 8x + 1, where x > 2
3. Find the range of the given function y = 5x + 2, where x > -2
can someone explain how to do these?
1. The range of the given function y = 3x² for the given domain: {- 2, - 1, and 0} is {12, 3, 0}.
2. The range of the given function y = 8x + 1, where x > 2 is (17, ∞).
3. The range of the given function y = 5x + 2, where x > -2 is (- 8, ∞).
We know that the range of a function is the entire set of all possible values for the dependent variable (typically y), after substituting the domain.
1. For the function y = 3x²,
Here the domain is {- 2, - 1, and 0}. So, we have to find the y values for the x values - 2, - 1, and 0 to find the range of the function.
Now, at x = - 2,
y = 3(- 2)² = 3 × 4 = 12
At x = - 1,
y = 3(- 1)² = 3 × 1 = 3
At x = 0,
y = 3(0)² = 3 × 0 = 0
So, the range of this function is {12, 3, 0}.
2. Now, for the function y = 8x + 1,
At x = 2,
y = 8 × 2 + 1 = 16 + 1 = 17
Since the domain is x > 2, we can say that the range set will contain values greater than 17.
So, the range of this function is (17, ∞).
3. For the function y = 5x + 2,
Now, at x = - 2,
y = 5 × (- 2) + 2 = - 10 + 2 = - 8
Since the domain is x > - 2, we can say that the range set will contain values greater than - 8.
So, the range of this function is (-8, ∞).
1. Therefore, the range of the given function y = 3x² for the given domain: {- 2, - 1, and 0} is {12, 3, 0}.
2. The range of the given function y = 8x + 1, where x > 2 is (17, ∞).
3. The range of the given function y = 5x + 2, where x > -2 is (- 8, ∞).
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A
D
4
324
OX+0
+
54324
-2
-3
&
B
h
23
X
Which rule describes the x-coordinates in the translation?
A
27
image
Answer:
x + 6
Step-by-step explanation:
consider the x- coordinates of the right angle
x- coordinate of A = - 4
x- coordinate of B = 2
then
| 2 - (- 4) | = | 2 + 4 | = | 6 | = 6
the x- coordinate has been shifted 6 units to the right , so the rule is
x + 6
i need help what's 8*3^2 i will mark brainiest if someone can answer it in 72-minute s
Answer:
72
Step-by-step explanation:
8 x 3² = 8 x 3 x 3
= 8 x 9
= 72
[P.S. If you meant (8 x 3)² the answer is:
(8 x 3)² = (24)²
= 24 x 24
= 576 ]
