2x(3x - 2) + (3x - 2)
let's writefollowing expression as product of their factor.
Answer:
6 x ^2 − x − 2
Step-by-step explanation:
Remove parentheses.
2 x ( 3 x − 2 ) + 3 x − 2
Simplify each term.
6 x ^2 − 4 x + 3 x − 2
Add − 4 x and 3 x .
6 x ^2 − x − 2
Answer:
(3x - 2)(2x + 1)
Step-by-step explanation:
Given
2x(3x - 2) + (3x - 2) ← factor out (3x - 2) from each term
= (3x - 2)(2x + 1) ← as a product of factors
Answer this question
Answer:
[tex]\huge\boxed{width=12cm}[/tex]
Step-by-step explanation:
[tex]l-length\\w-width\\P-perimeter[/tex]
The formula of perimeter of the rectangle:
[tex]P=2l+2w=2(l+w)[/tex]
Substitute:
[tex]l=6w\\\\P=168cm[/tex]
[tex]168=2(6w+w)\\168=2(7w)\\168=14w\qquad|\text{divide both sides by 14}\\\\\dfrac{168}{14}=\dfrac{14w}{14}\\\\12=w\Rightarrow w=12(cm)[/tex]
Answer:
Width of rectangle = 12 cm
Step-by-step explanation:
Let us assume that,
→ Length = 6x
→ Width = x
→ Perimeter = 168 cm
Perimeter of rectangle,
→ P = 2(L + W)
Forming the equation,
→ 168 = 2(6x + x)
Now the value of x will be,
→ 168 = 2(6x + x)
→ 2 × 7x = 168
→ 14x = 168
→ x = 168/14
→ [ x = 12 ]
Then the length and width is,
→ Length = 6x = 6(12) = 72 cm
→ Width = x = 12 cm
Hence, required width is 12 cm.
The National Center for Education Statistics would like to test the hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60. A random sample of 140 college graduates with Bachelor degrees found that 75 were women. The National Center for Education Statistics would like to set α = 0.10. The conclusion for this hypothesis test would be that because the absolute value of the test statistic is __________________________________.
This question involves the hypothesis test for the proportion. First we build the hypothesis, then find the test statistic, and according to the test statistic, we get the following answer:
The conclusion for this hypothesis test would be that because the absolute value of the test statistic is less than the critical value of 1.645, we do not reject the null hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60.
-------------------------------------------------------------------
The National Center for Education Statistics would like to test the hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60
This means that at the null hypothesis, it is tested if the proportion is of 0.6, that is:
[tex]H_0: p = 0.6[/tex]
At the alternative hypothesis, we test if the proportion is different of 0.6, that is:
[tex]H_1: p \neq 0.6[/tex]
-------------------------------------------------------------------
Decision rule:
Two-tailed test(test if the proportion is different of a value), so we exclude the top and bottom 0.1/2 = 0.05, meaning that looking at the z-table, we find a critical value of [tex]|Z_c| = 1.645[/tex], and the decision rule is:
Accept the null hypothesis: [tex]|Z| < 1.645[/tex]
Reject the null hypothesis: [tex]|Z| > 1.645[/tex]
-------------------------------------------------------------------
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.6 is tested at the null hypothesis:
This means that [tex]\mu = 0.6, \sigma = 0.4[/tex]
75 out of a sample of 140:
This means that:
[tex]n = 140, \pi = \frac{75}{140} = 0.5357[/tex]
-------------------------------------------------------------------
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.5357 - 0.6}{\frac{\sqrt{0.6*0.4}}{\sqrt{140}}}[/tex]
[tex]z = -1.55[/tex]
So |z| = 1.55
-------------------------------------------------------------------
Decision:
The conclusion for this hypothesis test would be that because the absolute value of the test statistic is less than the critical value of 1.645, we do not reject the null hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60.
For a similar example, you can check https://brainly.com/question/24166849
what is a ray that bisects an angle into two congruent angles?
- colilinear
- protractor postulate
- angle
- angle bisector
- angle addition postulate
Answer:
An angle bisector
Step-by-step explanation:
An angle bisecter
Can anyone help me with this pls :)
In the diagram provided, line l is parallel to line m. Select which of the following statements could be used to prove that the interior angles of a triangle have a sum of 180°. You may choose more than one correct answer.
m 4 + m 5 + m 6 = 180.
1 and 4 are alternate interior angles.
m 5 = m 3 + m 2
. m 5 + m 1 = 180.
Answer:
all except the first
Step-by-step explanation:
do u really want an explanation
Convert:5.6 L INTO Milliters
Answer:
5600 ml
Step-by-step explanation:
1 L = 1000 ml
5.6 L = 5.6 × 1000 = 5600 ml
From deltamath.com please help I’m loss
Answer:
y(x)=2866.59*(1.06)^x
Step-by-step explanation:
Let the exponential equation be y=a*b^x. Using y(7) and y(4) we can find the value of b, y(7)/y(4)=b^3=4300/3619, b=1.06. Next, y(4)=a*(1.06)^4=3619, a=2866.59. The equation is y(x)=2866.59*(1.06)^x
M angle a=40° then m angle b=?
Answer:
not enough info
Step-by-step explanation:
what is -3/5 as a decimal
Answer:
-0.6
Step-by-step explanation:
Answer:
⅗ as a decimal is -0.6
Hope it's right if not then sorry, have a great day:)GIVING BRAINLIEST TO CORRECT ANSWERS
Answer:
b is the correct answer
Step-by-step explanation:
Find the slope of the line passing through (6.-1) and (7,3). Let (x1, y1) = (6.-1) and (x2.72) =
(7,3). List the coordinates, fill in the slope formula, and then simplify.
1 =
X2=
J1 =
12=
slope =
Answer:
X1=6
X2=7
y1= -1
y2= 3
now,
slope = y2-y1/x2-x1
= 3+1/7-6
=4/1
=1
hence slope= 1
what is 2/4 divided by 1/4
Answer:
[tex] = \frac{2}{4} \div \frac{1}{4} [/tex]
find reciprocal of ¼:
[tex] = \frac{2}{4} \times \frac{4}{1} \\ \\ = \frac{2}{1} \\ \\ = 2[/tex]
Answer:
2
Step-by-step explanation:
the first step is to change the sign from a division sign to a multiplication sign and when you change the sign you also have to swap one side by placing the numerator down and the denominator up
2/4÷1/4
2/4×4/1
8/4
2
I hope this helps
#4 i
WRITING Would you solve the equation 0.25x + 7 = {x-8 using fractions or decimals? Explain.
Answer:
7x3 is 21 so 22 Is the answer
(x^2+2x+1)+(-x^2+x+3)
Answer:
3x+4
Step-by-step explanation:
You have to combine like terms to get 3x+4.
What is 2 ÷ 8/9 ????
Answer:
[tex]2 \div \frac{8}{9} = 2 \times \frac{9}{8} = \frac{9}{4} = 2.25[/tex]
I hope I helped you^_^
Answer:
Step-by-step explanation:
Use KCF method for fraction division.
K- Keep the first fraction.
Change the division to multiplication.
Flip the second fraction
2 ÷ 8/9 = [tex]2 * \dfrac{9}{8}[/tex]
[tex]= 1*\dfrac{9}{4}=\dfrac{9}{4}\\\\= 2\dfrac{1}{4}[/tex]
What are the coefficients for the binomial expansion of (a + b)^3?
Answer:
coefficient of 1st, 2nd, 3rd and 4th term are 1, 3,3,1 respectively. (required coefficient)
Step-by-step explanation:
Simplify the expression.
StartFraction negative 44.288 minus 31.6 over negative 3.1 (6 minus 1.2) EndFraction
–5.1
–4.21
3.42
5.1
Answer:
5.1
Step-by-step explanation:
ik i am in the future
Which exponential function has an x-intercept?
Answer:
y = a^x is an exponential function with an x intercept.
Step-by-step explanation:
y = a^x is the standard form of an exponential function.
James walks to a coordinate of (4, 5) and then to (1, 2) which joins the two coordinate in a straight line.Find the: (i) Gradient (m) of the line joining the two points. (ii) Equation of the line joining the two points.
Answer:
gradient = slope = 1
Y =1X +1 is the equation
Step-by-step explanation:
x1 y1 x2 y2
4 5 1 2
(Y2-Y1) (2)-(5)= -3 ΔY -3
(X2-X1) (1)-(4)= -3 ΔX -3
slope= 1
B= 1
Y =1X +1
If 12(x - a)(x - b) = 12x² - 7x - 12 , then ab =
Answer choices :
1
-1
7
12
-12
Answer: -1
Step-by-step explanation:
12x^2-7x-12 = (4x+3)(3x-4)
4x+3=0. X = -3/4
3x-4=0. X = 4/3
(-3/4) (4/3) = -1
What is the measure of JK?
find the trigonometric ratio tan m multiple choice
Answer:
a/b
Step-by-step explanation:
Tan = Opposite/Adjacent
Therefore, Tan M = a/b.
One angle on the base of an isosceles triangle is 30°. What is the measure of its vertical angle?
Answer:
120 degrees
Step-by-step explanation:
vertical angle of isoceles = 180 - 2(base angles) = 180 - 2(30) = 120
Answer:
isosceles triangle means both angle or sides equal so in this way
unknown angle + 30 + 30 = 180°
unknown angle+60=180
so unknown angle=120°
which is vertical angle
Find the sin P rounded to the nearest hundredth
Answer:
SOH-CAH-TOA
[tex]\sin \left(x\right)=\frac{6}{\sqrt{49+36}}[/tex] = 40.60°
SOH = SIN = OPP/HYP
SIN(Θ) = 6/[tex]\sqrt{49+36 }[/tex]
Step-by-step explanation:
Which function is shown in the graph? A. y = (2 + x)/(1 - x) B. y = 5/(3 - x) c . y = (5x)/(1 + x) d. y = (5 + 3x)/(1 + x)
Answer:
I believe it's D
Step-by-step explanation:
You plug in 0 and you get 5 as your Y value
The function of the graph is y = (5 + 3x)/(1 + x), so the correct option is d.
What is graph?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
The graph is first shifted to the right by 4 units and another one to the left by 1/2.
So, we have:
y = (5 + 3x)/(1 + x)
Hence, the function of the graph is y = (5 + 3x)/(1 + x)
Read more about function transformation at:
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lowkey need help with this.
9514 1404 393
Answer:
c = 14
no extraneous solutions
Step-by-step explanation:
You can subtract the right-side expression, combine fractions, and set the numerator to zero.
[tex]\dfrac{c-4}{c-2}-\left(\dfrac{c-2}{c+2}-\dfrac{1}{2-c}\right)=0\\\\\dfrac{c-4}{c-2}-\dfrac{1}{c-2}-\dfrac{c-2}{c+2}=0\\\\\dfrac{(c-5)(c+2)-(c-2)^2}{(c-2)(c+2)}=0\\\\\dfrac{(c^2-3c-10)-(c^2-4c +4)}{(c-2)(c+2)}=0\\\\\dfrac{c-14}{(c-2)(c+2)}=0\\\\\boxed{c=14}[/tex]
__
Check
(14 -4)/(14 -2) = (14 -2)/(14 +2) -1/(2 -14) . . . . substitute for c
10/12 = 12/16 -1/-12
5/6 = 3/4 +1/12 . . . . true
There is one solution (c=14) and it is a solution to the original equation. There are no extraneous solutions.
Michael says that the reciprocal of a number is always larger than the number. Show how Michael is wrong
Answer:
Step-by-step explanation:
Take example of 5/4.
Reciprocal= 4/5
5/4>4/5
so reciprocal of a no. may be greater than or equal to the original no.
the Marked price of an article is rupees 1600 if it is sold for rupees 1472 what is the discount rate
Step-by-step explanation:
1600-1472=128
128/1600×100
x and y are integers and 0 < x < y.
Write down two sets of values for x and y such that 6 = /3x+2y.
Answer:
x = 1
y=1.5
Step-by-step explanation:
3*1+2*1.5=6
The values of x and y in equation 6=3x+2y is for x is 1 and for y is 1.5.
We have given that,
x and y are integers and 0 < x < y.
6 = /3x+2y.
x=1 then
What is inequality?A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.
6=3+2y
6-3=2y
3/2=y
y=1.5
3*1+2*1.5=6
Therefore we get the values of x and y is for x is 1 and for y is 1.5.
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