Answer:
The roots are {-6, -3}
Step-by-step explanation:
We are given four possible roots. To determine whether or not a particular possible root is actually a root, we use synthetic division. If the remainder is zero, we may conclude that this is actually a root.
Determine whether or not -3 is a root. Setting up synthetic division, we get
-3 / 2 18 36
-6 -36
---------------------
2 12 0
Since the remainder is zero, -3 is a root.
Try -6: Is this a root of 2x + 12? Setting up synthetic division, we get
-6 / 2 12
-12
----------------
2 0
The remainder is again zero, so -6 is also a root of the original equation.
The roots are {-6, -3}
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct choices are ~
b and d
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve ~
[tex]2 {x}^{2} + 18 {x}^{} + 36 = 0[/tex][tex]2 {x}^{2} + 12x + 6x + 36 = 0[/tex][tex]2x(x + 6) + 6(x + 6) = 0[/tex][tex](2x + 6)(x + 6) = 0[/tex]There's two cases here,
Case # 1 - when 2x + 6 = 0
[tex]2x + 6 = 0[/tex][tex]2x = - 6[/tex][tex]x = - 6 \div 2[/tex][tex]x = - 3[/tex]Case # 2 - when x + 6 = 0
[tex]x + 6 = 0[/tex][tex]x = - 6[/tex]Hence, the roots are -3 and -6 ~
How to multiply decimal numbers.
Answer:
To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.
Step-by-step explanation: Hope it helps!!!!
Which ratio is equivalent to 5:9?
O 10:36
O 10:27
O 20:27
O 20:36
Find the perimeter. Simplify your answer.
Answer:
4p+23
Step-by-step explanation:
I'm guessing you add all of the sides to get the perimeter, so 4p+5+10+8 is 4p+23.
Given the triangle below and the equation: sin A = 3/5.
Determine the value of b.
Using the trigonometry ratio and Pythagorean Theorem, the value of b in the triangle is: 4.
Recall:
The trigonometry ratio is used in solving a right triangle, having, hypotenuse, adjacent, and the opposite side, given a reference angle.Trigonometry ratios are: SOH CAH TOAPythagorean Theorem is given as: [tex]c^2 = a^2 + b^2[/tex], where c is the longest side (hypotenuse).Given the trigonometry ratio of sin A = 3/5
Recall that, sin ∅ = opp/hyp (SOH)
Thus, this means that, in sin A = 3/5,
A = ∅3 = opposite side, which corresponds to a in the given triangle.5 = hypotenuse, which corresponds to c in the given triangle.b is therefore the adjacent sideThus, find the value of b by applying the Pythagorean theorem.
[tex]b = \sqrt{c^2 - a^2}[/tex] (Pythagorean Theorem)
Substitute[tex]b = \sqrt{5^2 - 3^2}\\\\\mathbf{b = 4}[/tex]
Therefore, using the trigonometry ratio and Pythagorean Theorem, the value of b in the triangle is: 4.
Learn more about Trigonometry ratios on:
https://brainly.com/question/4326804
a square table has am area of 15476cm^2 find the perimeter of the square
Answer:
497.6 cm to 1 decimal place.
Step-by-step explanation:
→ Square root the area to find the length
√15476 = 124.4025723
→ Multiply the answer by 4 to get the perimeter
124.4025723 × 4 = 497.6102893
Answer:
497.6 cm
Step-by-step explanation:
Perimeter = 4 x a
Since area is given we must square root a
P = 4 x square root ([tex]\sqrt{15476}[/tex])
P = 4 x (124.40)
P = 497.6 cm
Mindy can a drive a total of 375 miles on a full tank of gas, which is 25 gallons. Based on this information, what is the constant of proportionality?
25
15
375
10
Answer:
15
Step-by-step explanation:
[tex]\frac{25}{375} = \frac{1}{x}[/tex]
Cross multiply to get 25x = 375
Divide each side by 25 to get x = 15
what is the sum of the polynomials
(8x^2-9y^2-4x) + (x^2-3y^2-7x)
Answer:
[tex]9x^{2} - 12y^{2} - 11x[/tex]
Step-by-step explanation:
[tex](8x^{2} - 9y^{2} - 4x) + (x^{2} - 3y^{2} -7x)\\(8x^{2} + x^{2} ) + (-9y^{2} - 3y^{2} ) + (-4x - 7x)\\9x^{2} - 12y^{2} - 11x[/tex]
In the first step, I rearranged the equation and put like terms together.
Then I just combined the like terms.
I hope this helps!
Geri jogs every fourth day. Sarah jogs along the same path every fifth day. Both girls jog on the path on July 7. What is the next date they will both jog on the path?
Answer:
The next day they will both run on the path is July 27th.
We can find this by making columns writing every date and seeing when they intersect.
4 5
8 10
12 15
16 20
20
We can then add this to the current date to find the date they will next run together.
Step-by-step explanation:
hope this helps. . . <3
good luck! UwU
solve the equation
x/-14 = 13
x = -52
x = 17
x = 52
x = -13/4
How to integrate absolute value.
Answer:
I cant even see anything can you reupload your answer, please?
Step-by-step explanation:
y varies inversely with x and x= 3 when y =10. What is the value of y when x=6?
k =
y=
Answer: Y=20
Step-by-step explanation:
X is doubled from 3 to 6 meaning that y is also doubled.
Double 10 is 20 so y=20.
WILL GIVE BRAINLISET
Find the equation of the straight line parallel to the y-axis and pass through the point (-2, 3). _____
100 IF U GET THIS RIGHT!
Answer:
Eq
● y = mx + c
m = slope
c = intercept
y = 2/9 x + (-2)
slope m=2/9
How many solutions does 8 + x/6 = x/6 - 4 + 5x/12 have?
A. Two solutions.
B. No solutions
C. Infinitely many solutions
D.One solution
Answer:
c. infinitely many solutions
Can someone answer this with a short clip of singing a song for 100 points and Branielist. PLLLSSSSS ACTUALLY DO ITTTT
Answer:
ok
Step-by-step explanation:
hold on
Can anyone solve this from 1 to 3?
Answer:
you know, you can't post more than one question
Step-by-step explanation:
a 84m2 b 111m2 c 125m2 d 150m2
Answer:
B
Step-by-step explanation:
:)
Answer:the answer is 84m2
Step-by-step explanation:
What is the length of the triangle shown below
[tex]\cos \theta = \dfrac{\text{Base}}{\text{Hypotenuse}}\\\\\\\cos 45^{\circ} = \dfrac{s}{10\sqrt 2}\\\\\implies \dfrac 1{\sqrt2} = \dfrac{s}{10\sqrt 2}\\\\\\\implies \dfrac s{10} = 1\\\\\implies s= 10[/tex]
there are 30 students in Mr. Robert's classroom. 45% of the students ride the bus how many students ride the buss?
Answer:
About 13 students
Step-by-step explanation:
30*45%=13.5
13.5<14
Using the equation R(x) = x - 2,000 What would be the y value when x is 70,000?
72,000
68,000
74,000
50,000
Answer:
68k
Step-by-step explanation:
you replace x with 70,000 and subtract 2k then you have your answer :)
Dont forget to say thanks if this helped :)
which best describes the relationship between the 125 angle and angle a
Answer:
They are same side interior angles. Angle A measures 55°.
Step-by-step explanation:
How to find zeros of cubic polynomial.
Step-by-step explanation:
1. First divide by the leading term, making the polynomial monic.
2. Then, given x
2 + a1x + a0, substitute x = y − a1 to obtain an equation without the linear term.
(This is the “depressed” equation.)
3. Solve then for y as a square root. (Remember to use both signs of the square root.)
4. Once this is done, recover x using the fact that x = y − a1
Mandy has 1 drink and Karl has 2 Mandy takes all of Karl's drinks
Answer:
What is this question asking? If you give me a question to answer I can help you.
Step-by-step explanation:
How many 3/4s are in 2? Draw a tape diagram
Answer:
8/3, or 2 if you want a whole number
Step-by-step explanation:
Well, the simple answer is 2/(3/4). This is nothing but 2*4/3, which is just 8/3. (I used the theorem that states that dividing is the same as multiplying by the reciprocal)
A cake measures 18 centimeters in diameter. Find how much room there is to spread frosting on the top of the cake.Complete the answer sentence. You may consider writing your answer to the hundredths place and using the calculator to help you solve.
A fundamental basis of regression analysis is the assumption of a. the lack of a relationship between independent variables. b. a curvilinear relationship between two weakly associated dependent variables. c. a uniform normal distribution between dependent variables. d. a straight-line relationship between the independent and dependent variables. e. the existence of two independent variables for every dependent variable.
The correct answer is E. A fundamental basis of regression analysis is the assumption of the existence of two independent variables for every dependent variable.
Regression analysis is a statistical method that examines the dependence of a response variable on selected explanatory variables.
When studying the dependence between quantities and trying to describe a given functional dependence on a given formula, it is assumed that the dependence consists of a precisely determinable component and a random component. The relationship with this assumption is called the regression model.
Learn more about regression analysis in https://brainly.com/question/1305938
40 pts & Brainliest to first Correct. PLZ HELP ASAP
Answer: [tex]16x^4y^2a^6[/tex]
Step-by-step explanation:
just apply to the power of 2 to every term
-4 times -4 is 16
x^2 to power of 2 is 2 times 2 so x^4
y^2 is y^2
a^3 to power of 2 is 3 x 2 = 6 so a^6
16x^4y^2a^6
Answer:
16x^4y^2a^6
Step-by-step explanation:
Do this step by step
16x^4y^2a^6
Please give brainliest!
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rail, llama, llama, cookie
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How to divide long division with decimals.
Answer:
If the number your dividing has a decimal, move the decimal point all the way to the right, counting how many spaces you have moved it. Then, move the decimal point in the number you're dividing the same number of places to the right.
Step-by-step explanation:
PLEASE HELP AND EXPLAIN ALSO SHOW WORK
Answer:
x=10
Step-by-step explanation:
Make 2x the only variable on the left side of the equation. Do that by taking 3 and 5 to the left. Note: if you move/transpose any number the sign must change.
2x = 18+5-3
2x=20
Divide both sides of the equation by 2 to make x the only variable left.
x=10