Hello please help me with this question
help ! which of the following are the roots of the given quadratic equation ?
[tex]2 {x}^{2} + 18x + 36 = 0[/tex]
a. 6
b. -6
c. 3
d. -3..
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 ~
Rearrange v=u+at to make t the subject of formula.
A. t=(u-v)/(a)
B. t=(v-u)/(a)
C. t=(u+v)/(a)
D. t=(v+u)/(a)
Answer:
t=(v-u)/a
hope it will help you
I need it right now .
Answer:
y=9
a=1.5
n=74
v=8
k=11
What is the slope of the equation Y= 5/4 x - 7/4?
a. -7
b. -7/4
c. 5/4
d. 5
Answer:
a
Step-by-step explanation:
Answer: c
Step-by-step explanation:
Imagine that you have been asked to write a letter to a 7thgrader. Using academic vocabulary and 5-7 complete sentences, write a letter teaching a 7thgrader about something you have learned in 8thgrade Math this year.
please help me!
Answer:
step 1: what have you learned?
We cant help you because we do not know what you have learned.
but if you comment your vocab words and what u learned i can help you
Step-by-step explanation:
What is the solution to the system of equations?y = a system of equations. Y equals startfraction one-third endfraction minus 10. 2 x plus y equals 4. X – 102x y = 4(–8, 6)(–6, 16)(6, –8)(16, –6).
Answer: C
Step-by-step explanation:
The elevators in an office building have been approved for a maximum load of 3,600 pounds.
Can the elevator hold a weight of exactly 3,600 lbs? If w = weight in elevator, what should the inequality look like?
Plz help thx.
Answer:
w [tex]\leq[/tex] 3,600
Step-by-step explanation:
[tex]\leq[/tex] means less than or equal to.
Ms. Suzuki is buying soda for the pizza party her class earned. She estimates that each of her
24 students will drink 250 milliliters of soda on average. How many 2-liter bottles of soda
should she buy?
Answer:
6
Step-by-step explanation:
250 mL is 0.25 L or 1/4 L.
1 L is enough for 4 students.
A 2-L bottles is enough for 8 students.
Since 24 students is 3 times 8 students, you need 3 times a 2-liter bottle.
Answer: 3
Can anyone help me with this question please I really need help please I’ll mark as brainliest
Answer:
[tex]f(x)=-11\times(7^x^-^1)[/tex]
Step-by-step explanation:
Stare at the numbers. Especially the first two. First one is -11. Second is [tex]-11\times 7[/tex]. Let's guess you keep multiplying. [tex]-77\times 7=-539[/tex]. Smells correct, let's confirm with the last one: [tex]-539\times7 = -3773[/tex]. I think we found a pattern. Each element is 7 times the previous one. With some practice you can just write the function, else let's divide by -11 away and let's see what we get:
[tex]f(1) = 1=7^0; f(2)=7; f(3)=7^2; f(4)=7^3[/tex]. Basically, the exponent is 1 less than the value we're evaluating the function. That leads tho the following
[tex]f(x)=-11\times(7^x^-^1)[/tex]
A survey was given to a random sample of 80 residents of a town to determine
whether they support a new plan to raise taxes in order to increase education
spending. Of those surveyed, 40 respondents said they were in favor of the plan.
Answer:
sorry i dont quite understand your question .
Ratio would be 1/2 or 50:100 in terms to 40:80
Step-by-step explanation:
if this was more or less of a GOVT question for history or law class then the answer would be " If no candidate for president receives an absolute majority of the electoral votes, pursuant to the 12th Amendment, the House of Representatives is required to go into session immediately to choose a president from among the three candidates who received the most electoral votes. "
Is there a value of x that makes each of the following equalities true? If there is, find it.
a. √x-3=0
b. √x=-10
c. √x+1=0
d. √x=0.1
Step-by-step explanation:
a. √x - 3 = 0 ⇒ √x = 3 ⇒ x = 3² ⇒ x = 9 b. √x = -10,no solution as √x is a positive value
c. √x+1=0 ⇒ √x = - 1,no solution as √x is a positive value
d. √x = 0.1 ⇒ x = 0.1² ⇒ x = 0.01#1
√x-3=0x-3=0x=3If square root is over x only x=3²=9
#2
No solutions as -10 is <0
#3
√x+1=0x+1=0x=-1If root is over x only then no solutions
#4
√x=0.1
x=0.01
solve pls brainliest
Step-by-step explanation:
first you need m and m is -15/5 that means -3
your function is mx =y so your function is -3x= y
-8 less than a number is no more than 12
Answer:
-8 < x ≤ 12
Step-by-step
-8 less than a number would give you
-8 <
a number no more than 12 would give you
x ≤ 12
giving x because we dont know what the number is-
so your full anser would be-
-8 < x ≤ 12
What is 16 1/2 as an improper fraction.
a square has a diagonal length of 10 meters. How long is the side of the square?
Answer:
5 × √2 or 7,071067811865475Step-by-step explanation:
the diagonal of a square splits the square into 2 right triangles. So we can use Pythagorean's theorem.
where c is the hypotenuse. So the diagonal is the hypotenuse here, and thus c = 10. Now, since we are dealing with a square, all the sides are the same length, so a = b. So we have:
a² + a² = c²
2a² = 100
a² = 50
a = √50
a = 5 × √2 or 7,071067811865475
--------------------------
Answer: 50
Step-by-step explanation :<
Please help I need to show my work
Write a system of equations for the following situation. There are a total of 35 questions on a test. Some questions are multiple choice and some are short answers. The multiple choice questions are worth 2 points and the short answer questions are worth 5 points. There are a total of 100 points on the test.
Answer:
m + s = 352m + 5s = 100Step-by-step explanation:
There are a total of 35 questions on a test:
m + s = 35Points from multiple choice answers = 2m
Points from short answers = 5s
There are a total of 100 points on the test:
2m + 5s = 100The condition is
There are total 35pens to buy.[tex]\\ \sf\longmapsto m+s=35[/tex]
Each pen costs 2$Each pencil costs 5$You have 100$[tex]\\ \sf\longmapsto 2m+5s=100[/tex]
word problem 3/4 ÷3/8
[tex] \frac{3}{4} \div \frac{3}{8} = \\ [/tex]
[tex] \frac{3}{4} \times \frac{8}{3} = \\ [/tex]
[tex] \frac{8}{4} = \\ [/tex]
[tex]2[/tex]
Can someone please help I will give you 30 points and brainliest if the answer is right also no links please
Answer:
B: BC ≅EC
Step-by-step explanation:
You know that the two angles starting in C are congruent (they're opposite by vertex C).
Given that the B angle and the E angle are congruent, in order for the two triangles to be congruent by A(ngle)S(ide)A(ngle) you want the side inbetween to be congruent. That is BC and EC. Option B
Find the equation of the line that passes through the given points, in Slope-Intercept Form. (-2, -7) and (3, 8)
Answer:
y=3x-1
Step-by-step explanation:
m=y2-y1/x2-x1
m=8-(-7)/3-(-2)
m=8+7/3+2
m=15/5
m=3
y-y1=m(x-x1)
y-(-7)=3(x-(-2)
y+7=3(x+2)
y+7=3x+6
y=3x+6-7
y=3x-1
which one is correct
a.
b.
c.
Use properties to evaluate (-25) HIS O A. – 15 5 O B. 5 C. - OC. 15 O D. 1
Answer:
-15/4
Step-by-step explanation:
Answer: Its - 15/4 or 05/12 but the person above me is correct
Step-by-step explanation:
HELPPP PLZ I NEED TO PASS ‼️‼️‼️‼️‼️‼️
Hello everyone, I was wondering what 50+8x2 is for my project that I am doing. Thanks
Answer:
66
Step-by-step explanation:
Multiplying 8 by 2 which gives you 16.
Then 16 Add 50 = 66
If the simple interest on 4,000 for 10 years is 2,400 then what is the interest rate
Answer:
6%
Step-by-step explanation:
I =Prt I being interest paid, P is Principal, r is rate, t is term
2400=4000x r x 10
2400=40000r
2400/40000=.06 convert to percentage by multiplying by 100 x. 06=6
What is the vertex and p-value of this parabola?
Answer:
vertex: (-7, 5)p = 2Step-by-step explanation:
The vertex is halfway between the focus and the directrix:
((-7, 7) +(-7, 3))/2 = (-14, 10)/2 = (-7, 5) . . . . vertex coordinates
The value of p is the distance from the focus to the vertex:
7 -5 = 2 = p
In vertex form, the equation of the parabola is ...
y = 1/(4p)(x -h)^2 +k . . . . . . vertex (h, k)
y = 1/8(x +7)^2 +5
ABC is a straight line.
The length AB is five times the length BC .
AC =90 cm.
Work out the length AB .
(3 marks)
Answer:
75 cmStep-by-step explanation:
According to segment addition postulate we have:
AC = AB + BCWe are given:
AB = 5 BCThen substitute values into the first equation:
AC = 5 BC + BC90 = 6 BCBC = 90/6 = 15 cmFind the length of AB:
AB = 5*15 cm = 75 cmWrite an equation of the parabola that passes through the point (62,-490) and has x-intercepts -8 and 72
Step-by-step explanation:
as x intercepts are -8 and 72 we realize that f(x)=a(x+8)(x-72)
we know that f(62)=-490 so a= -0.7
so f(x)= -0.7(x+8)(x-72)
Suppose that a department contains 7 men and 15 women. How many ways are there to form a committee with six members if it must have more women than men
Answer:
7502040
Step-by-step explanation:
you can have 6 women,5 women and 1 men,4 women and 2 men,
in first case,you can place women in 15*14*13*12*11*10 ways
in second case
15*14*13*12*11*7
and in third case
15*14*13*12*7*6
and you need to sum all this numbers