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2 years ago

Please help me it’s urgent! I WILL MARK AS BRANLIEST!

Mathematics

1 answer:

UkoKoshka [18]2 years ago

3 0

Answer:

(1,4)

Step-by-step explanation:

2x-3y=-10

y=4x

Since the y is already isolated, you can use substitution to find the answer to this equation. Simply replace any y values in the first equation with 4x:

2x-3(4x)=-10

2x-12x=-10

-10x=-10

x=1

y=4(1)=4

Hope this helps!

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Drag the tiles to the correct boxes to complete the pairs not all tiles will be used match each quadratic graph to its respectiv

ch4aika [34]

Answer:

Part 1) The function of the First graph is $f(x)=(x-3)(x+1)$

Part 2) The function of the Second graph is $f(x)=-2(x-1)(x+3)$

Part 3) The function of the Third graph is $f(x)=0.5(x-6)(x+2)$

See the attached figure

Step-by-step explanation:

we know that

The quadratic equation in factored form is equal to

$f(x)=a(x-c)(x-d)$

where

a is the leading coefficient

c and d are the roots or zeros of the function

Part 1) First graph

we know that

The solutions or zeros of the first graph are

x=-1 and x=3

The parabola open up, so the leading coefficient a is positive

The function is equal to

$f(x)=a(x-3)(x+1)$

Find the value of the coefficient a

The vertex is equal to the point (1,-4)

substitute and solve for a

$-4=a(1-3)(1+1)$

$-4=a(-2)(2)$

$a=1$

therefore

The function is equal to

$f(x)=(x-3)(x+1)$

Part 2) Second graph

we know that

The solutions or zeros of the first graph are

x=-3 and x=1

The parabola open down, so the leading coefficient a is negative

The function is equal to

$f(x)=a(x-1)(x+3)$

Find the value of the coefficient a

The vertex is equal to the point (-1,8)

substitute and solve for a

$8=a(-1-1)(-1+3)$

$8=a(-2)(2)$

$a=-2$

therefore

The function is equal to

$f(x)=-2(x-1)(x+3)$

Part 3) Third graph

we know that

The solutions or zeros of the first graph are

x=-2 and x=6

The parabola open up, so the leading coefficient a is positive

The function is equal to

$f(x)=a(x-6)(x+2)$

Find the value of the coefficient a

The vertex is equal to the point (2,-8)

substitute and solve for a

$-8=a(2-6)(2+2)$

$-8=a(-4)(4)$

$a=0.5$

therefore

The function is equal to

$f(x)=0.5(x-6)(x+2)$

3 0

3 years ago

Write in the simplest form.<br> -4/7 ÷ 8/9

RSB [31]

Answer:

-9/14

Step-by-step explanation:

5 0

2 years ago

Determine the number of solutions for this equation:<br> 4x-1=2[2x-1]

krek1111 [17]

Answer:

See the attachment and Mark as brainleist please.

7 0

2 years ago

Read 2 more answers

What is the local maximum value of the function? g (x)=x^4-5x^2+4

Neporo4naja [7]

$g(x)=x^4-5x^2+4 \\ g'(x)=4x^3-5 \cdot 2x^1+0=4x^3-10x \\ \\ 4 x^{3} -10x=0 \\ 2x(2x^2-5)=0 \\ 2x^2-5=0~~~~and~~~2x=0 \\ 2x^2=5~~~~~~~~~~~~~~~~~x=0 \\ x^2=2.5 \\ x= \sqrt{2.5} \\ x=1,58 ~~~~~~and ~~~~x= -1.58$
__-____-1,58____+_____0_______-__1,58_____+____>x

Locol max: 0

5 0

2 years ago

In timara math class there are, 12 boys and 15 girls which of the following in the ratio to boys and girls in timaras math class

tiny-mole [99]

Answer:

4:5

Step-by-step explanation:

If there are 12 boys and 15 girls, the ratio of boys to girls will be 12:15.

However, this can be simplified by dividing each number by 3. This can be done since both 12 and 15 are divisible by 3.

12:15

= 4:5

So, the ratio of boys to girls in Timara's class is 4:5

7 0

3 years ago