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3 years ago

Find the discriminant for each quadratic function below. Then list the number of zeros/solutions for each quadratic function.

Mathematics

1 answer:

Hunter-Best [27]3 years ago

5 0

Answer:

Step-by-step explanation:

The discriminant is found in

$b^2-4ac$ which is part of the quadratic formula. In

$4x^2+10x-16=0$ , a = 4, b = 10, c = -16. Filling in for the discriminant:

$10^2-4(4)(-16)=100+256=356$

It's positive so we know we have real roots; it's not a perfect square, so our solutions are 2 complex rational.

In $-16x^2-7x+3=0$ , a = -16, b = -7, c = 3. Filling in for the discriminant:

$(-7)^2-4(-16)(3)=49+192=241$

It's positive and not a perfect square so the 2 solutions are complex rational

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A cylinder has a volume of 245 cubic units and a height of 5 units. The diameter of the cylinder is

olganol [36]

The answer equals 14

2*7
(r=square root of 49)

4 0

4 years ago

Read 2 more answers

WILL MARK AS BRAINLIEST IF YOU ANSWER THESE CORRECTLY*** Can someone please help me with these math questions? I would really ap

igor_vitrenko [27]

ANSWER:

Question a):

$\dfrac{5}{3}*x= \dfrac{5}{6}\\ \\ \\ \dfrac{5}{3}x= \dfrac{5}{6}\\ \\6(5x)=3(5)\\ \\30x=15\\ \\x= \dfrac{15}{30}\\ \\ \\x= \dfrac{\not{15}}{\not{30}}\\ \\ \\x= \dfrac{1}{2}\quad\Longrightarrow\boxed{\mathbb{ANSWER\ \checkmark}}$

Question b):

$\dfrac{5}{3}\div{x}= \dfrac{10}{9}\\ \\ \\ \dfrac{5}{3}\div{ \dfrac{x}{1} }= \dfrac{10}{9}\\ \\ \\ \dfrac{5*1}{3*x}= \dfrac{10}{9}\\ \\ \\ \dfrac{5}{3x}= \dfrac{10}{9}\\ \\9(5)=10(3x)\\ \\45=30x\\ \\ \dfrac{45}{30}=x\\ \\ \\ \dfrac{\not{45}}{\not{30}}=x\\ \\ \\ \dfrac{3}{2}=x\quad\Longrightarrow\boxed{\mathbb{ANSWER\ \checkmark}}$

Question c):

$12\%*x= \dfrac{3}{4}\\ \\ \\ \dfrac{12}{100}*x= \dfrac{3}{4}\\ \\ \\ \dfrac{\not{12}}{\not{100}}x= \dfrac{3}{4}\\ \\ \\ \dfrac{3}{25}x= \dfrac{3}{4}\\ \\4(3x)=3(25)\\ \\12x=75\\ \\x= \dfrac{75}{12}\\ \\ \\x= \dfrac{\not{75}}{\not{12}}\\ \\ \\x= \dfrac{25}{4}\quad\Longrightarrow\boxed{\mathbb{ANSWER\ \checkmark}}$

Question d):

$\dfrac{12}{7}*x= \dfrac{18}{35}\\ \\ \\ \dfrac{12}{7}x= \dfrac{18}{35}\\ \\35(12x)=7(18)\\ \\420x=126\\ \\x= \dfrac{126}{420}\\ \\ \\x= \dfrac{\not{126}}{\not{420}}\\ \\ \\x= \dfrac{3}{10}\quad\Longrightarrow\boxed{\mathbb{ANSWER\ \checkmark}}$

Question e):

$x\div{ \dfrac{8}{11} }= \dfrac{22}{7}\\ \\ \\ \dfrac{x}{1}\div{ \dfrac{8}{11} }= \dfrac{22}{7}\\ \\ \\ \dfrac{11*x}{8*1}= \dfrac{22}{7}\\ \\ \\ \dfrac{11x}{8}= \dfrac{22}{7}\\ \\7(11x)=8(22)\\ \\77x=176\\ \\x= \dfrac{176}{77}\\ \\ \\x= \dfrac{\not{176}}{\not{77}}\\ \\ \\x= \dfrac{16}{7}\quad\Longrightarrow\boxed{\mathbb{ANSWER\ \checkmark}}$

Question f):

$120\%\div{x}= \dfrac{14}{15}\\ \\ \\ \dfrac{120}{100}\div{x}= \dfrac{14}{15}\\ \\ \\ \dfrac{\not{120}}{\not{100}}\div{}x= \dfrac{14}{15}\\ \\ \\ \dfrac{6}{5}\div{x}= \dfrac{14}{15}\\ \\ \\ \dfrac{6}{5}\div{ \dfrac{x}{1} }= \dfrac{14}{15}\\ \\ \\ \dfrac{1*6}{5*x}= \dfrac{14}{15}\\ \\ \\ \dfrac{6}{5x}= \dfrac{14}{15}\\ \\6(15)=14(5x)\\ \\90=70x\\ \\ \dfrac{90}{70}=x\\ \\ \\ \dfrac{\not{90}}{\not{70}}=x\\ \\ \\ \dfrac{9}{7}=x\quad\Longrightarrow\boxed{\mathbb{ANSWER\ \checkmark}}$

$\textbf{HOPE\ THIS\ HELPS...!!}$

3 0

3 years ago

What is the GCF of 2+18+40

vlabodo [156]

2 is the GCF of <span>2+18+40
.</span>

6 0

3 years ago

Read 2 more answers

Type to justify why the two larger triangles are congruent

dexar [7]

Answer:

Step-by-step explanation:

We are dealing with triangle DAB and CBA.

Angles DAB and CBA are right angles making the triangles right triangles.

Side AB is congruent to side BA. That is a leg of each of the two triangles.

Side DB is congruent to side CA. Tat is a leg of each triangle.

The triangles are congruent by HL.

4 0

3 years ago

Can someone help me with these Algebra 1 questions, they are pretty tough and i need help since i don't fully understand it yet.

Hatshy [7]

I will answer second attachment and after since I can't see the firs attachment

2nd attachment

if x is negative, then the first number gets infinitely small
look at the second number, the first 2 is -2 which is wrong since it should be +2
3rd option is not because if x=-2, then y=1
answer is D

3rd attachment
2nd: f(x)=60*1.15^x
3rd: no xint
6th: after 7.86 years value tripples
7th maybe: after 8 years value is 183.51, not exatly 184.00

4th attachment
nth score is
f(n)=57+4(n-1)
9th is
f(9)=57+4(9-1)
57+32=89
answer is C 89

5th
f(t)=23000(1.02)^t
t=time in years from 23000

4 0

3 years ago