The value of the discriminant is 25, there are 2 x-intercepts does this function have and the 2 number of zeros for this function has.
How to find the value of discriminant?The standard form of the quadratic equation is,
[tex]ax^2+bx+c=0[/tex]
Here,(a,b, c) is the real numbers and (x) is the variable.
For this equation, the discriminant value can be given as,
[tex]D=b^2-4ac[/tex]
The given quadratic function is,
[tex]f(x) = 3x^2 +7x+ 2[/tex]
Compare it with standard form, we get,
[tex]a=3\\b=7\\c=2[/tex]
Thus, the value of discriminant is,
[tex]D=(7)^2-4(3)(2)D=49-24\\D=25[/tex]
The value of discriminant is positive. Thus, the quadratic equation has two real solution and 2 zeros.
Hence, the value of the discriminant is 25, there are 2 x-intercepts does this function have and the 2 number of zeros for this function has.
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Answer:
The value of the discriminant is 25, there are 2 x-intercepts does this function have and the 2 number of zeros for this function has.
How to find the value of discriminant?
The standard form of the quadratic equation is,
Here,(a,b, c) is the real numbers and (x) is the variable.
For this equation, the discriminant value can be given as,
The given quadratic function is,
Compare it with standard form, we get,
Thus, the value of discriminant is,
The value of discriminant is positive. Thus, the quadratic equation has two real solution and 2 zeros.
Hence, the value of the discriminant is 25, there are 2 x-intercepts does this function have and the 2 number of zeros for this function has.
Learn more about the discriminant here;
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Step-by-step explanation:
help me out please look at photo
Answer:
seek god
Step-by-step explanation:
dang maybe the 2nd one
Calculate the area of the trapezoid. Use paper to show your work. The figure is not drawn to scale.
12 cm
12 cm
21 cm
The area of the trapezoid is how many cm?
The area of a trapezium with the given dimensions is: 198 cm²
What is the Area of a Trapezium?Area of a trapezium = 1/2(a + b)h, where h is the heght of the trapezium and a and b are the length of its bases.
Given the following:
a = 12 cmb = 21 cmh = 12 cmArea of a trapezium = 1/2(12 + 21)12
Area of a trapezium = 198 cm²
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A parallelogram originally has an area of 47 square inches. Find its new area if its base
is one-fourth times as long and its height is twice as long.
PLS HELP ME!! WILL GIVE LOTS OF POINTS AND GIVE BRAINLIEST!
Answer:
23.5
Step-by-step explanation:
So this is a parallelogram so the area formlula is b*h=47? That's a no go. It is saying that if the base is 1/4th and the height is increasing by 2 so basically 1/4b*2h=1/2bh bh so it will be represented as 47 so 1/2*47=23.5
GUYS PLEASE HELP ME I NEED TO FINISH THIS
Part E
Using the dimensions from part D, find the area of each simple shape. Do this for all your decompositions (sets of shapes).
Answer:
What type of question is this
Answer:
The area of a rectangle is given by A = l × w, where l is the length and w is the width.
The length (l) and width (w) of the small rectangle are 14 feet and 6 feet, respectively, so the area of the small rectangle (As) is:
AS = 14 ft. × 6 ft.
= 84 sq. ft.
The length (l) and width (w) of the large rectangle are 20 feet and 7 feet, respectively, so the area of the large rectangle (Al) is:
Al = 20 ft. × 7 ft.
= 140 sq. ft.
The area of a triangle is given by , where b is the base and h is the height of the triangle.
The base and height of the triangle both measure 6 feet, so the area of the triangle (At) is:
ft. ft.
sq. ft.
sq. ft.
Step-by-step explanation:
Which equation is the inverse of 5 y 4 = (x 3) squared one-half? y = one-fifth x squared six-fifths x eleven-tenths y = 3 plus-or-minus startroot 5 x seven-halves endroot negative 5 y minus 4 = negative (x 3) squared minus one-half y = negative 3 plus-or-minus startroot 5 x seven-halves endroot
The inverse function of the function 5y + 4 = (x + 3)² + 0.5 is shown below. Then the correct option is D.
[tex]\rm y= \pm \sqrt{5x + \dfrac{7}{2}} - 3[/tex]
What is the inverse of a function?Suppose that the given function is
[tex]f:X\rightarrow Y[/tex]
Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is
[tex]f^{-1}: Y \rightarrow X[/tex]
such that:
[tex]\forall \: x \in X : f(x) \in Y, \exists \: y \in Y : f^{-1}(y) \in X[/tex]
(and vice versa).
It simply means, the inverse of 'f' is a reverse operator, that takes back the effect of 'f'
The equation is given below.
[tex]\rm 5y + 4 = (x+3)^2 + \dfrac{1}{2}[/tex]
Then y will be
[tex]\rm 5y = (x+3)^2 + \dfrac{1}{2} - 4\\\\\rm y \ \ = \dfrac{(x+3)^2}{5} - \dfrac{7}{10}[/tex]
The replace y by x and x by y, then we have
[tex]\begin{aligned} x &= \dfrac{2(y+3)^2}{10} - \dfrac{7}{10}\\\\\dfrac{10x + 7}{2} &= (y + 3)^2 \\\\\sqrt{5x + \dfrac{7}{2}} &= y + 3\\\\y &= \pm \sqrt{5x + \dfrac{7}{2}} - 3 \end{aligned}[/tex]
More about the inverse function link is given below.
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Answer: D
Step-by-step explanation:
The 2022 Russian Invasion of Ukraine began due to the cause of the collapse of the Soviet Union, which was sped along by the independence of the baltic states in 1990. When Ukraine left the USSR in 1991 and gave it's nuclear weapons to Russia in 2006, it began clear that Ukraine needed to be returned back into the hands of Moscow, before becoming another frontline for the NATO Army to invade the Russian Federation from the west, with more support from Japan in the east. Oh and I did the Edge test in 2022 so thats how I know it's D.
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
its A
Step-by-step explanation:
8-3=5 and 9/10-4/10=5/10=1/2
Answer:
A. 5 1/2
Step-by-step explanation:
[tex]8\frac{9}{10}-3\frac{4}{10}\\\text{Convert the mixed numbers into improper fractions.}\\(\frac{80}{10}+\frac{9}{10})-(\frac{30}{10}+\frac{4}{10})\\\text{Combine the fractions.}\\\frac{89}{10}-\frac{34}{10}\\\text{Since the denominators are the same, simply subtract the numerators.}\\\frac{89-34}{10}\\\frac{55}{10}\\\text{Split the fraction into two so one part becomes a whole number.}\\\frac{50}{10}+\frac{5}{10}\\\text{Evaluate 50 over 10.}\\5+\frac{5}{10}\\\text{Simplify the fraction 5/10.}\\[/tex]
[tex]5+\frac{5/5}{10/5}\\5+\frac{1}{2}\\\text{Combine the mixed number.}\\5\frac{1}{2}[/tex]
how many solutions do the following systems have
{0.5x-3/4y=7
:5.6-2/5x=-0.6y
Answer:
Step-by-step explanation:
I think the answer is 0-1, but i will have to see the answers to determine.
Hope it helps!
Which graph represents the solution of the system
[x2 + y2 = 4
[x-y=1
Answer:
its b
Step-by-step explanation:
just took the test
Answer:
Its C
Step-by-step explanation:
Have a good day!
Using pi as 3.14. what is the circumference of a circle with a radius of 3mm.
Answer:
18.84
Step-by-step explanation:
Circumference = 2 * PI * R
2 * 3.14 * 3 = 18.84
The vertices of a right triangle are p(-3,4), q(-3,-4) and r (7,-4). Explain algebratically whether or not (2,0) is on the side of the triangle.
Algebraically, it was possible to show that the point (2,0) is on the side (PR) of the given triangle.
RIGHT TRIANGLEA triangle is classified as a right triangle when it presents one of your angles equal to 90º. In this triangle from the trigonometric ratios or the Pythagoras Theorem ([tex](hypotenuse)^2=(side_1)^2+(side_2)^2[/tex]), it is possible finding angles or sides.
The question gives the points for a right triangle, you can draw the triangle, see the attached image. From the figure, it is possible to see the lengths for the sides PQ=8 and QR=10.
Linear EquationA linear function can be represented by a line. The standard form for this equation is: ax+b , for example, y=2x+7. Where:
a= the slope. If
a> 0 , the function is increasing; a< 0 , the function is decreasing;b=the constant term that represents the y-intercept.
The slope for the line PR can be calculated from the ratio between the side PQ and QR.
[tex]a=\frac{PQ}{QR}=\frac{4-(-4)}{(-3-7)}=\frac{8}{-10} =-0.8[/tex]
From the attached figure, it is possible to see that the y-intercept is (2,0). Therefore, the given point is on the side PR, but the question asks to show this algebraically.
From the Standard form (ax+b), the equation for the line PR will be: y=- 0.8x+b. After that, you should replace the coordinates of the given point P (-3,4) in the equation line: y=-0.8x+b for finding b.
4=-0.8*(-3)+b
4=2.4+b
b=4-2.4= 1.6
Then, the equation line y=-0.8x+1.6.
Now you should replace the x-coordinate for the point (2,0) in the equation y=-0.8x+1.6.
y=-0.8*2+1.6
y=-1.6+1.6
y=0
The calculated y-coordinate is the same the y-coordinate for the point (2,0), thus the point (2,0) is on the side of the triangle.
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what is the interest rate (as a percent)
Answer:
I didn't understood your question. But,
Formula to find rate of interest=I×100/P×T
Angle K in △MKL is a right angle.
By using Pythagoras theorem.
h²=p²+b²ML²=15²+8²ML²=225+64ML=√289Therefore ML= 17...
Step-by-step explanation:
Hope it helps....Mark me brilliant
NEED HELP!! WILL GIVE BRAINLIEST!! PLEASE COMPLETE BOTH!
Answer:
[tex]10 \frac{5}{6}\\\\5 \frac{5}{6}[/tex]
Step-by-step explanation:
[tex]5 \times 2 \frac{1}{6} \\ \\ = 5 \times \frac{13}{6} \\ \\ = \frac{65}{6} \\ \\ = 10 \frac{5}{6} \\ \\ \\ 3 \frac{1}{2} \times 1 \frac{2}{3} \\ \\ = \frac{7}{2} \times \frac{5}{3} \\ \\ = \frac{35}{6} \\ \\ = 5 \frac{5}{6} [/tex]
Consider the first radical :
[tex]{:\implies \quad \sf 5\times 2\dfrac16}[/tex]
Using the properties of mixed fraction, writing the mixed fraction as an improper fraction, we will be having
[tex]{:\implies \quad \sf 5\times \bigg(\dfrac{6\times 2+1}{6}\bigg)}[/tex]
[tex]{:\implies \quad \sf 5\times \bigg(\dfrac{12+1}{6}\bigg)}[/tex]
[tex]{:\implies \quad \sf 5\times \dfrac{13}{6}}[/tex]
[tex]{:\implies \quad \sf \dfrac{65}{6}}[/tex]
[tex]{:\implies \quad \boxed{\bf{10\dfrac56}}}[/tex]
Hence, Option D) is correct
Now, coming to the 2nd question :
[tex]{:\implies \quad \sf 3\dfrac{1}{2}\times 1\dfrac{2}{3}}[/tex]
[tex]{:\implies \quad \sf \bigg(\dfrac{3\times 2+1}{2}\bigg)\times \bigg(\dfrac{3\times 1+2}{3}\bigg)}[/tex]
[tex]{:\implies \quad \sf \bigg(\dfrac{6+1}{2}\bigg)\times \bigg(\dfrac{3+2}{3}\bigg)}[/tex]
[tex]{:\implies \quad \sf \dfrac{7}{2}\times \dfrac{5}{3}}[/tex]
[tex]{:\implies \quad \sf \dfrac{35}{6}}[/tex]
Now, Rewriting this improper fraction as mixed fraction, we will be having :
[tex]{:\implies \quad \boxed{\bf{5\dfrac56}}}[/tex]
Hence, Option C) is correct
Tamora just made the last of her monthly payments on her loan. she had been making these payments for the past nine years. the loan had a principal of $10,675 and an interest rate of 4.75%, compounded monthly. in addition, tamora paid $939.25 in service charges. what was tamora’s total finance charge? round all dollar values to the nearest cent. a. $939.25 b. $11,614.25 c. $3,403.53 d. $2,464.28 please select the best answer from the choices provided a b c d
Tamora’s total finance charge was $3,403.53 if Tamora paid in addition of $939.25 in service charges option (c) is correct.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We have:
Principal amount(Loan principal) = $10,675
Interest rate = 4.75 %
Monthly rate = 4.75/12% ⇒0.39583% ⇒ 0.00395
Additional amount she paid in service charge = $939.25
Number of months = 9×12 = 108 months
We can find the total finance charge as follows:
Finance charge = Total amount repaid +service charge - Loan principal
The formula for the monthly payment of the loan is given by:
[tex]\rm Monthly \ payment = \frac{Loan \ principal }{\frac{(1-(1+r)^-^n)}{r} }[/tex]
[tex]\rm Monthly \ payment = \frac{10675}{\frac{(1-(1+0.00395)^-^{108})}{0.00395} }[/tex]
After calculating, we get:
Monthly payment = $121.66
For 108 months, Tamora paid:
= 121.66×108
= $13,139.23
The finance charge will be:
= $13,139.23+$939.25-$10,675
= $3,403.53
Thus, Tamora’s total finance charge was $3,403.53 if Tamora paid in addition of $939.25 in service charges option (c) is correct.
Learn more about the compound interest here:
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What is the value of the one in 45.12
Answer:
Step-by-step explanation:
1 is in the tenth place
[tex]\sf 1's \ value = \dfrac{1}{10}[/tex]
Please help!!!
Let f be the function given by f(x) = x2.
Write an equation for the function g whose graph is the graph of f translated 3 units left and up 5 units.
Answer:
If it is x squrared the answer would be (x+3)²+5. If it is 2 times x then it would be (2x+3)+5
Step-by-step explanation:
Pls help i will give brainliest
Answer:
i think 31
Step-by-step explanation:
I need help please!!!
Answer:
Step-by-step explanation:
Find the area (please hurry if you are answering, due soon)
Area of the figure is 171 cm²
See the attachment......
Area of triangle:-
1/2(12)(19)6(19)114cm²Area of square:-
7²49cm²Area of rectangle:
5(3)15cm²Total:-
15+49+114178cm²Can someone help me with this problem? It’s rlly hard
Answer:
4(5+8)
Step-by-step explanation:
The GCF of 20 and 32 is 4. Then you divide 20 and 34 by 4.
7,14,21,28,35, __
Which sentence about the missing number in the Pattern is true?
The missing number ends with a 5.
The missing number is a Multiple of 10.
The missing number is a odd number.
The missing number is a even number.
Answer:
the patters is that they are multiple of 7.. so next number is 42.
which means option D The missing number is even is correct..
1000 is divided by 100 and anwers is 10 but how can explain someone easy way
solve this problem correctly, and you will be my bff for life
The graph shown is the second derivative
⇒ first derivative equals the area between
- the second derivative function from 0 to 2
- the axis
Thus the first derivative f(2) equals [tex]8 + c[/tex]
c: represents the initial positionHowever there is an inital position for the first derivative ⇒ f(0) = 2.5
Therefore we must add the initial position to the first derivative found
f(2) = 8 + 2.5 = 10.5
Hope that helps!
15. If a=3 and b= -2, find the values of:
(i) a^a + b^b
ii) a^b + b^a
Answer:
Step-by-step explanation:
(i) a^a + b^b
for a=3 and b= -2
3^3 + -2^(-2)
-2^(-2) = -(1/2^2)
3^3 -(1/2^2)
27 - (1/4)
26 3/4
ii) a^b + b^a
a^b + b^a
for a=3 and b= -2
3^(-2) + (-2)^3
1/3^2 + (-2)(-2)(-2)
1/9 - 8
-7 8/9
HELP ME PLEASE
My last question
Answer: 32c-1 is one of them
Step-by-step explanation:
Dumpster #1 contains 45 fewer molded vegetables than dumpster #2. Dumpster #2 contains 80 fewer molded vegetables than dumpster #3. If there are 236 molded vegetables in all the dumpsters combined, how many vegetables are in dumpster #1?
Answer:
22 vegetables
Step-by-step explanation:
Set the #number of molded vegatables in dumpster 1 as X
The number of molded vegetables in 2 is x + 45 and the number of molded vegies in 3 is x + 45 + 80
x + x + 45 + x + 45 + 80 = 236 (combine similar terms)
Thats 3x = 66
Which equas 22
how can i write this in a calculator?
Answer:
2.13
Step-by-step explanation:
cos 62⁰=10/x=0.47
x=10/0.47≈2.13
Find the Circumference.
Answer:
1.
r = 12 m.
d = 24 m.
circumference: 75.36 m² or 24π m²
2.
r = 10 cm.
d = 20 cm.
circumference: 62.8 cm² or 20π cm²
3.
r = 4 dm.
d = 24 dm.
circumference: 25.12 dm² or 8π dm²
Step-by-step explanation:
Circumference of a circle: 2πrπ (pi) = 3.14r (radius) = d/2d (diamater) = 2rSubstitute the the values of the table into the formula:
1.
r = 12 m.
d = 24 m.
circumference: 75.36 m² or 24π m²
2πr
2 * 3.14 * 12
3.14 * 24
75.36 m² or 24π m² <== circumference
12 * 2 = 24 m <== diameter
2.
r = 10 cm.
d = 20 cm.
circumference: 62.8 cm² or 20π cm²
r = 20/2 = 10 cm <== radius
2πr
2 * 3.14 * 10
3.14 * 20
62.8 cm² or 20π cm² <== circumference
3.
r = 4 dm.
d = 24 dm.
circumference: 25.12 dm² or 8π dm²
2πr
2 * 3.14 * 4
3.14 * 8
25.12 dm² or 8π dm² <== circumference
4 * 2 = 8 dm <== diameter
Hope this helps!
Emily bought 28 flowers and divided them equally into 4 bouquets. How many flowers are in each bouquet?