Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{(x - 7)(x - 6)}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ {x}^{2} - 13x + 42 }[/tex]
Here, we have to find the two numbers that adds to 13 and multiplies to 42.
The numbers are 7 and 6
[tex] \sf{ {x}^{2} - (7 + 6)x + 42}[/tex]
⇒[tex] \sf{ {x}^{2} - 7x - 6x + 42}[/tex]
Factor out x from the expression
⇒[tex] \sf{x(x - 7) - 6x + 42}[/tex]
Factor out 6 from the expression
⇒[tex] \sf{x(x - 7) - 6(x - 7)}[/tex]
Factor out x - 7 from the expression
⇒[tex] \sf{(x - 7)(x - 6)}[/tex]
Hope I helped!
Best regards!!
Answer:
x-7 For AP EX peeps
Step-by-step explanation:
juan spent 10 min on his history homework and 3 min per question on his math homeowrk. which graph shows the total homework time t, related to the number of questions q
Answer:1st graph
Step-by-step explanation: did this question already
Answer: First option
Step-by-step explanation:
I did the lesson already
can someone please help me with this
Answer:
-21
Step-by-step explanation: a negative times a positive will always be a negative
what is the relationship between integers and natural numbers.
how to answer arrange least to greatest
Answer:
Let's see it by an example!
The numbers are given:
5 , 77 , 23 ,45 & 0
Let's arrange this from least to greatest :
0<5<23<45<77
Note : This sign(<) means greater than.
Hope you understand!✔
Explore More:You can also practice this by greatest to least!
You can use this sign(>) [ it means less than ]
SMALL Example is given :
55>2
What are some methods for finding the distance between points A and B? You can use the pen tool to explore different options on the number line?
Answer:
Ok, the straightforward thing you can do, when you have a number line like in this situation, you can just "count" the number of units that are between A and B.
Now, a more correct way:
First, A is located at the value -3, then we can write:
A = -3.
And B is located at the value 5, then:
B = 5.
Now, the distance between A and B is equivalent to the difference between A and B:
D = B - A = 5 - (-3) = 8
The distance between A and B is 8 units.
What is the image point of (2,6) after a translation right 5 units and down 3 units?
Answer:
(7, 3)
Step-by-step explanation:
(2+5, 6-3) = (7, 3)
What percentage of the data in a standard normal distribution lies between x = .09 and x = 1.2?
Answer:
The percentage is [tex]P(0.09 < \mu < 1.2 ) = 34.9\%[/tex]
Step-by-step explanation:
From the question we are told that
The random number is [tex]x_1 = 0.09 \ and \ x_2 = 1.2[/tex]
Generally the mean of standard normal distribution is [tex]\mu = 0[/tex]
The standard deviation of a standard normal distribution is [tex]\sigma = 1[/tex]
The percentage of the data in a standard normal distribution lies between
[tex]x_1 = 0.09 \ and \ x_2 = 1.2[/tex] is mathematically represented as
[tex]P(x_1 < \mu < x_2 ) = P(\frac{x_1 - \mu}{\sigma } <\frac{X - \mu}{\sigma } < \frac{x_2 - \mu}{\sigma } )[/tex]
[tex]P(0.09 < \mu < 1.2 ) = P(\frac{0.09 - 0}{1 } <\frac{X - \mu}{\sigma } < \frac{1.2 - 0}{1 } )[/tex]
[tex]P(0.09 < \mu < 1.2 ) = P(0.09 <\frac{X - \mu}{\sigma } < 1.2 )[/tex]
The [tex]\frac{X - \mu}{\sigma } = Z(The \ standardized \ value \ of \ X )[/tex]
[tex]P(0.09 < \mu < 1.2 ) = P(0.09 <Z < 1.2 )[/tex]
[tex]P(0.09 < \mu < 1.2 ) = P (Z < 1.2 )- P( Z<0.09)[/tex]
From the z-table
[tex]P (Z < 1.2 )= 0.88493[/tex]
[tex]P( Z<0.09) = 0.53586[/tex]
So
[tex]P(0.09 < \mu < 1.2 ) = 0.88493 - 0.53586[/tex]
[tex]P(0.09 < \mu < 1.2 ) = 0.349[/tex]
Hence the percentage is
[tex]P(0.09 < \mu < 1.2 ) = 34.9\%[/tex]
ab when a = 1/2 and b= 3/4
Answer:
3/8
Step-by-step explanation:
1/2*3/4
is
(1*3)/(2*4)
So it's 3/8
Answer:
Here,
a=[tex] \frac{1}{2} [/tex]
b=[tex] \frac{3}{4} [/tex]
Now,
[tex]ab \\ = \frac{1}{2} \times \frac{3}{4} \\ = \frac{3}{8} [/tex]
Find the value of 3/4 x 14
Answer:
21/2
Step-by-step explanation:
[tex]\frac{3}{4}\times\:14\\\\\mathrm{Convert\:element\:to\:fraction}:\quad \:14=\frac{14}{1}\\=\frac{3}{4}\times\frac{14}{1}\\\\\mathrm{Cross-cancel\:common\:factor:}\:2\\=\frac{3}{2}\times\frac{7}{1}\\\\=\frac{3\times\:7}{2\times\:1}\\\\=\frac{21}{2}[/tex]
If there are two angles that are complementary, and the first angle has a measure of 18°, what is the measure of the second angle?
A. 180 degrees
B. 162 degrees
C. 72 degrees
Answer:
C. 72 degrees
Step-by-step explanation:
Complementary angles total 90 degrees.
The second angle is ...
90° - 18° = 72°
(7a^3 -2a-2)+(-5a+3)
Answer:
7a 3 −7a+1
Step-by-step explanation: I hope this help.
STEP
1
:
Equation at the end of step 1
((7a3 - 2a) - 2) + (3 - 5a)
STEP
2
:
Polynomial Roots Calculator :
2.1 Find roots (zeroes) of : F(a) = 7a3-7a+1
Polynomial Roots Calculator is a set of methods aimed at finding values of a for which F(a)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers a which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 7 and the Trailing Constant is 1.
The factor(s) are:
of the Leading Coefficient : 1,7
of the Trailing Constant : 1
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 1.00
-1 7 -0.14 1.98
1 1 1.00 1.00
1 7 0.14 0.02
Polynomial Roots Calculator found no rational roots
Final result :
7a3 - 7a + 1
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{7 {a}^{3} - 7a + 1}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{(7 {a}^{3} - 2a - 2) + ( - 5a + 3) }[/tex]
When there is a ( + ) in front of an expression in parentheses, there is no need to change the sign of each term. That means, the expressions remains the same. Just, remove the parentheses
⇒[tex] \sf{7 {a}^{3} - 2a - 2 - 5a + 3}[/tex]
Collect like terms
⇒[tex] \sf{7 {a}^{3} - 2a - 5a - 2 + 3}[/tex]
⇒[tex] \sf{7 {a}^{3} - 7a - 2 + 3}[/tex]
Calculate
⇒[tex] \sf{7 {a}^{3} - 7a + 1}[/tex]
Hope I helped!
Best regards!!
Add 2 x 2 + 5 x + 6 to − 4 x 2 − x + 7
Add 2 x 2 + 5 x + 6 to − 4 x 2 − x + 7
Add the expressions.
13
agalar help mee agalar yardım
Answer: 510°
Step-by-step explanation:
1st. solution.
Draw the perpendicular EP ⊥FB.
So from quadrilateral FAEP we find the∡AEP ( sum of all angles in quadrilateral=360°)
∡AEP= 360°-∡FAE-∡AFP-∡FPE=360°-20°-90°-90°=160°
Draw CK ⊥FB
From triangle CKB we can find ∡BCK=180°-10°-90°=80°
From pentagon PEDCK (sum of PEDCK angles= 540°) we can find the sum of ∡PED+∡DCK= 540°-∡EPK-∡EDC-∡CKP= 540°-90°-90°-90°=270°
∡DEA+∡DCB=∡AEP+∡PED+∡DCK+∡KCB=160°+270°+80°=510°
Answer:
CEVAP 50ymis knk öyle dediler iwkwjskaoqkwjwhd
A goniometer may be used to measure the range of motion of a joint. A health professional is measuring the angle of a person's back and elevated leg. The symbol theta is used to represent the angle measurement. In the picture, the angle made by the goniometer is classified as a(n) angle. ° < θ < °
Answer:
Step-by-step explanation:
Answer:
obtuse , 90 , 180 .
Step-by-step explanation:
a)250cm =______ mm.
b)5000m = ____ km.
c) 200km =______cm.
Answer:
a = 2500mm
b = 5km
c = 2e+7
Step-by-step explanation:
Answer:
a)
1cm = 10mm
250cm = 250*10 = 2500mm
b)
1km = 1000m
5000m = 5000/1000 = 5km
c)
1km = 1000m
1m = 100cm
1km = 1000*100 = 100000cm
200km = 200*100000 = 20000000cm
Does anyone know this? Needed ASAP
Answer:
50 square units
Step-by-step explanation:
Using the formula provided, [tex]a = \frac{1}{2}h(b_1+b_2)[/tex], substituting the height (5), b1 (8) and b2 (12), we can solve for the formula.
[tex]a = \frac{1}{2}\cdot5(8+12)\\\\a = \frac{1}{2}\cdot5(20)\\\\a = \frac{1}{2}100\\\\a = 50[/tex]
Hope this helped!
Answer:
50 units²
Step-by-step explanation:
The area of a trapezoid can be found using the following formula.
[tex]A=\frac{1}{2}h(b_{1} +b_{2} )[/tex]
The height of the trapezoid is 5 units. The bases are 8 units and 12 units.
[tex]h= 5 \\b_{1} = 8\\b_{2} = 12[/tex]
Substitute the values into the formula.
[tex]A=\frac{1}{2}*5(8+12)[/tex]
Solve inside the parentheses. Add 8 and 12.
8+12=20
[tex]A=\frac{1}{2}*5(20)[/tex]
Multiply 5 and 20.
5*20= 100
[tex]A=\frac{1}{2}*100[/tex]
Multiply 1/2 and 100 or divide 100 by 2.
100 * 1/2= 50 or 100/2= 50
[tex]A= 50[/tex]
Add appropriate units. For this problem, the units are units².
[tex]A= 50 units^2[/tex]
The area of the trapezoid is 50 square units.
solve the equation 6 over x + 1 over 2 equals to 2
Answer:
x = 4
Step-by-step explanation:
6/x + 1/2 = 2
x(6/x + 1/2) = 2*x
x*6/x + x*1/2 = 2x
6 + x/2 = 2x
6 = 2x - x/2
6 = 4x/2 - x/2
6 = 3x/2
6*2/3 = x
12/3 = x
x = 4
probe:
6/4 + 1/2 = 2
3/2 + 1/2 = 4/2
In a student survey, fifty-two part-time students were asked how many courses they were taking this term. The (incomplete) results are shown below: Please round your answer to 4 decimal places for the Relative Frequency if possible. # of Courses Frequency Relative Frequency Cumulative Frequency 1 20 Correct .3846 Correct 20 2 19 0.3654 39 Correct 3 13 0.25 52 What percent of students take exactly one courses? 51.61 Incorrect%
Answer:
The percentage of students taking exactly one courses is 38.46%.
Step-by-step explanation:
The frequency distribution table provided for the number of courses taken by part-time students is as follows:
# of Courses Frequency Relative Cumulative
Frequency Frequency
________________________________________________
1 20 0.3846 20
2 19 0.3654 39
3 13 0.2500 52
TOTAL 52 1.0000
The relative frequency is actually the probability or chance of the particular class or category of a frequency distribution.
The probability of students taking exactly one courses is 0.3846.
Then the percentage of students taking exactly one courses is:
0.3846 × 100% = 38.46%
Thus, the percentage of students taking exactly one courses is 38.46%.
Find the exact trigonometric ratios for the angle x whose radian measure is given. (If an answer is undefined, enter UNDEFINED.) −7π
Answer:
sin(x) = tan(x) = 0
cos(x) = sec(x) = -1
cot(x) = csc(x) = UNDEFINED
Step-by-step explanation:
An angle of -7π is co-terminal with an angle of π (or 180°). Its trig ratios are ...
sin(x) = tan(x) = 0
cos(x) = sec(x) = -1
cot(x) = csc(x) = UNDEFINED
Thanks for the help!
Answer:
A
Step-by-step explanation:
So we have the piecewise function:
[tex]f(x)= \begin{cases}\sqrt{2x} & \text{if }x<3 \\2x+10 & \text{if }3\leq x<8\\42&\text{if } x\geq 8\end{cases}[/tex]
And we want to find f(8).
Since our input value is 8, choose the equation that fits our input.
The first equation demand x to be less than 3. 8 is not less than 3, so we won't use that.
The second equation demand x to e greater than or equal to 3 and less than 8. 8 is not less than 8. So, we won't use that.
The third equation demands x to be greater than or equal to 8. 8 is greater than or equal to 8, so we'll use the third equation.
So:
[tex]f(x)=42\text{ if }x\geq 8[/tex]
[tex]f(8)=42[/tex]
There're nothing more to do, we're done :)
The answer is A.
Edit: Improved Format
2x +3=11
The value of X
Answer:
x=4
Step-by-step explanation:
2x+3=11
2x+3-3=11-3
2x=8
x=4
2x+3=11
2(4)+3=11
8+3=11
11=11
Answer:
x =4
Step-by-step explanation:
[tex]2x +3=11\\\\Collect \:like\:terms\\2x =11-3\\\\Subtract\\2x =8\\\\Divide\:both\:sides\:of\:the\:equation\:by\:2\\\frac{2x}{2} =\frac{8}{2} \\\\x = 4[/tex]
(10x² +34
+ 34x+ 30) = (2x+4)
Answer:
2 = 0
This equation has no solution.
Step-by-step explanation:
A a non-zero constant never equals zero
Evaluate the expression. Write the result in simplest form. (Do not enter a mixed number.) 3 3/4 + 9 7/8
Answer:
13 5/8
Step-by-step explanation:
3 3/4+9 7/8
15/4+79/8
30/8+79/8
109/8
simplify
13 5/8
2!/0! = 2, 0 or undefined
Answer:
Undefined.
Step-by-step explanation:
Because there is a 0 in the denominator.
Answer:
Undefined
Step-by-step explanation:
Because you cant divide by 0
Express (2-I) - (-1+3i) in the form of a + ib.
Answer:
[tex]=3-4i[/tex]
Step-by-step explanation:
So we have:
[tex](2-i)-(-1+3i)[/tex]
First, distribute:
[tex]=(2-i)+1-3i[/tex]
Combine like terms:
[tex]=-i-3i+2+1[/tex]
Add:
[tex]=-4i+3[/tex]
So, in the a+bi format, we will have:
[tex]=3-4i[/tex]
Answer:
3 -4i
Step-by-step explanation:
(2-i) - (-1+3i)
Distribute the minus sign
(2-i) + 1-3i
Combine like terms
3 -4i
What is the base of the rate is 16.1% and the portion is 454
The rate is 16.1% and the base is the final portion with the rate added on to it.
Chance the percentage into a decimal.
16.1% / 100 = 0.161
Multiply.
454 * 0.161 = 73.094
Add.
454 + 73.094 = 527.094 or 527.09
Therefore, the final base is roughly 527.09
Best of Luck!
how do I do this
plz help
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Use order of operations.
42/(15-2^3)
Exponents in Parentesis
42/(15-8)
Subtraction inParenthesis
42/7
Division
6
14 + (-12)-8-5
FAST PLEASE ALSO PLEASE SHOW THE STEPS!!!
Answer:
-11
Step-by-step explanation:
start with PEMDAS (parenthesis, exponents, multiplication, division, addition, subtraction)
so you would first start with 14 + (-12) so the + and - become a negative so it becomes 14 - 12 which is 2
so then do -8-5 which is -13
so then you combine them and get 2-13 which is -11
the surface area of a sphere whose radius is 0.5 cm is
Answer: The answer is 3.14 (also known as π)
Step-by-step explanation: The formula for the surface area of a sphere is:
A = 4πr^2
A = 4π (0.5)^2
A = 4π (0.25)
A = (4 x 0.25) π
A = 1π
A = π or A = 3.14
Please help Please help
Answer:
Leg ED is adjacent to theta